diff --git "a/data/dm_maths/full_data_1/1082_11255.jsonl" "b/data/dm_maths/full_data_1/1082_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1082_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the common denominator of -97\/23345490 and 137\/4669098.\nAnswer: 23345490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 0 - 6*b - 4\/3*b**3 + 7\/12*b**4 - 1\/2*b**2 + 1\/20*b**5. What is z(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/36 and 2\/(46*8\/122).\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4386 - -319728.\nAnswer: 315342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/2 (b) 1\/5 (c) -0.3 (d) -8\/139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 64 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57073, 114146, 171219, 228292?\nAnswer: 285365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 1497, 5181, 12413, 24387, 42297, 67337?\nAnswer: 100701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssi when three letters picked without replacement from sviipisi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -0.4, -4, -182, -3 in increasing order.\nAnswer: -182, -4, -3, -0.4, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473387 is divided by 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -165*p + 10681. Give a(62).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -47. Calculate the remainder when 40 is divided by ((-230)\/(-92))\/(q\/(-66)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 186\/63 + (64\/112)\/(-2). Let c(t) be the third derivative of 0 - 11*t**2 + 0*t - f*t**3 + 1\/15*t**5 - 1\/3*t**4 + 1\/60*t**6. Solve c(z) = 0 for z.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 11) to base 4.\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -150*r**3 + 6*r**2 - 24*r + 23. Calculate n(1).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 258312*m - 10998. Let g(p) = 282*p - 12. Determine -6*d(s) + 5499*g(s).\nAnswer: 846*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2. Let o(w) = -163*w + 163*w - 4*w**2. What is o(p(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**4\/10 + 116*g**3\/5 + 341*g**2\/5 - 1032*g\/5 - 3703. Factor n(u).\nAnswer: 2*(u - 1)*(u + 3)*(u + 172)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2 + 2)*(-2 + 5 + 2) + (-3*w + 5 - 5)*(-2 + 2 - 1) - 3*w + 4*w - 3*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(156)\/(sqrt(48)\/sqrt(4)*4)*1*-1 + 0.\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, b: 4, r: 2}. Give prob of sequence brdd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15895*m**2 - 18908 with respect to m.\nAnswer: -31790*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 10) + (-1 - 5) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 154*f**3 + 4*f**2 + 7*f - 7. Let k(u) = -153*u**3 - 3*u**2 - 6*u + 6. What is -7*k(c) - 6*o(c)?\nAnswer: 147*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/990 and -109\/550.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -9 - 0. Let z be ((-393688)\/266816 - -1)*(-46)\/x. Let u = 5\/3411 + z. Calculate the common denominator of u and 95\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(15\/(-14))*65\/26. Calculate the remainder when 22 + (-84)\/f + -7 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 49*h - 53*h + 22, -5*v - 5*h + 15 = 0. What is the nearest to -2\/9 in v, -4, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -0.3 (b) -19 (c) 3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 1 - 5 - (1 - -1)) + 204 + -212?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 789469.9g?\nAnswer: 0.7894699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 413258317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a = 95 + 89 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153 - 159. What is the hundreds digit of (0 - 1)*(l - 555)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/26840 and -163\/9150?\nAnswer: 402600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 6) to base 13\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145186 is divided by 48367?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 540 = -4*x. Let k = x - 130. Calculate the remainder when 42 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h + 110 = 430. Solve -h*o + 23 + 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5*i - 3 + 19, -5*j + i = -14. Let u be ((7 + -7)\/(j + -3))\/1. Suppose -3*x - 3*w + 75 = 0, -2*x + u*x + 50 = 5*w. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-6 + 4 - 2) + 102\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/13425828 and -29\/6?\nAnswer: 13425828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*6*(sqrt(102) + 5*((sqrt(102)*3 + sqrt(102) - sqrt(102)) + sqrt(102)) + sqrt(102)))\/(sqrt(6) + sqrt(486)*4 - (sqrt(96) - 1*sqrt(96) - sqrt(6))).\nAnswer: 594*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82574312 and 3856.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -6.1 (b) -17 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-33 - -14) + (-3 - (-1 + 7)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - v - 260, -4*x + 8693 = -164*v + 7781 for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 109873097 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001001110 - -11000?\nAnswer: 100001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76083 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: Solve -5*c - 5 = 0, -3*c = -8*u + 4*u + 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -41, 0.036, -0.2, -2, 3 in decreasing order.\nAnswer: 3, 0.036, -2\/11, -0.2, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 111180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256 - 256. Solve -2*c + 0*c - 8 = x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**4 + 21170*t**3 + 22429605*t**2 + 44795720*t + 22387280 = 0.\nAnswer: -2116, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let q be v(0). What is the biggest value in q, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9441 - -113293\/12. Let f(m) be the second derivative of -31*m + 0 - 4\/3*m**3 + y*m**4 + 1\/2*m**2. What is f(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 1 + -5 - -2) + 1 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 835692?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -2 + (-6 - -13) + -4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/13, 11, 2, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 18*j - 112. Suppose -93*i + 536 + 22 = 0. What is l(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 0*m**4 - 1\/10*m**5 - 11\/6*m**3 + 0*m + 0 + 2*m**2. Differentiate t(a) with respect to a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3950 and 1.\nAnswer: 3951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.97 + -10. Let f = t - -0.09. Let o = f - 0.0592. Round o to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + 18 + 60 + -73.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 10. Let u be t(-10). Let c(i) = i**3 - i**2 - i. Let b be c(-1). Which is greater: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139539222.\nAnswer: 2, 3, 7752179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 j, and 2 h when four letters picked without replacement from qwjhnhtjqqnwqqnqnh?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 2313.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*z - 74*z - 3 - 1.\nAnswer: 3*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 - 41. Suppose -u + j - 6 = 0. Calculate the remainder when u is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.28 + -0.72. Let f = 9.9 + s. Suppose -4*l + 3*n + 2*n = 33, 3*n = -3*l + 9. Which is the second smallest value? (a) f (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = -74 - 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 16859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p + 116*p**3 - 5*p**2 - p - 115*p**3. What is m(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*d**4 - 370*d**3 - 71296*d**2 wrt d?\nAnswer: -1704*d - 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*d**4 - 15 - 2*d**2 + 17 + d**3 - 7*d + 7*d to the form n*d**3 + a*d**2 + t + r*d + q*d**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 78, 231, 528, 1017, 1746, 2763?\n\"Answer: 8*a**3 + a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 h when three letters picked without replacement from fhffhff?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -12*p - 86. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22902769 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -0.5, -5, -4565, -2\/11 in decreasing order.\nAnswer: 0, -2\/11, -0.5, -2, -5, -4565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 10*v**2 - v**4 - 12*v**2 - 2*v**3 to s*v**3 + j*v**4 + p + y*v**2 + u*v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -852 - b0a?\nAnswer: -165c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/64)\/((-5)\/(-12)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6014 - -0.02199?\nAnswer: -0.57941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24454 - 6?\nAnswer: -24461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(320) + sqrt(320) + sqrt(320) - sqrt(320))*5 + -2*(1*sqrt(320))**2 + 2)*-2.\nAnswer: 80*sqrt(5) + 1276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18034 from 3.\nAnswer: -18031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.1 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Let t be (9*4\/8)\/(-6). Let v = -0.03 - 1.97. Put v, n, t in ascending order.\nAnswer: v, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 2*b**3\/3 + 1. Let t(a) = 151*a - 186. Let v be t(11). Let z(h) = 7 + 1474*h - v*h - 2. Calculate k(z(w)).\nAnswer: 2*w**2 - 20*w + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4\/3, 2891, -135?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11999.588 + 11990. What is r rounded to one decimal place?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -327 (base 10) to base 7.\nAnswer: -645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*j - 23589 + 23259 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/28)\/(6\/(-21)))\/(205\/4)?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113059099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -7ce35?\nAnswer: -7ce3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16767 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2366 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 divided by -46?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.926 rounded to 0 dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54 or -377\/7?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 7*q + 5. Let v be o(6). Let t(z) = v*z - 33*z - 6*z. Let d(u) = -3*u**2. Give d(t(f)).\nAnswer: -2352*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*u**3 - u**2 - 118 wrt u?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 274 - 272.09. Let d = -3.91 + q. Let y = 0.31 + 18.69. What is the smallest value in d, y, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -798 (base 13) to base 15\nAnswer: -5c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a factor of 130433184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 + -13 - 78) + -3.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 144, 288, 434, 582?\n\"Answer: w**2 + 141*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 8\/51011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-20)*(-5)\/1. Let u = i - 0. Solve 8 = -u*d + 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -683*t. Let r(k) = -95*k**2 + 2. Determine r(g(h)).\nAnswer: -44316455*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.496872456 - 0.4969. Round n to seven decimal places.\nAnswer: -0.0000275","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82794, 82785, 82770, 82749, 82722, 82689, 82650?\nAnswer: 82605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 33\/119794 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/4)\/((-3)\/(-24)))\/(-85*(-88)\/(-11220))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 701665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33345 + 13?\nAnswer: 33358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, y: 1, f: 3}. Give prob of picking 2 f and 1 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7318 to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*i = -x - 1, -3 = 3*x. Suppose i*f - 12 = -4*f. Let m be 8\/2 + ((-72)\/(-8) - 7). Solve 0 = 3*a - m - f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/4 + 93*x**3\/4 + 129*x**2\/2 + 42*x.\nAnswer: 3*x*(x + 1)*(x + 2)*(x + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, 1 in decreasing order.\nAnswer: 4, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*z, -3*c = z - 0*c + 4. Suppose -t - 12 = -8*w + 5*w, 4 = w. Factor t*h - 2\/3 + 2\/3*h**z.\nAnswer: 2*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 49, 117, 227, 391, 621?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 15) to base 7\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-378)*(-18)\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 27. Let g = k + 8. Factor p**5 + 0*p + g*p**2 + 0 + 1\/3*p**3 + 4\/3*p**4.\nAnswer: p**3*(p + 1)*(3*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 2, -3\/61, 0.1, 2\/9 in decreasing order.\nAnswer: 2, 2\/9, 0.1, -3\/61, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**12\/m))\/(m*((m\/(m*m**7*m)*m)\/m)\/m))\/(m**2\/(m**(-3)*m)) assuming m is positive.\nAnswer: m**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 45*t**2 - t. Let j(h) be the first derivative of -h**5\/60 + 50*h**3\/3 - 24. Let u(g) be the third derivative of j(g). What is m(u(a))?\nAnswer: 180*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3254, 9870, 20910, 36386, 56310, 80694, 109550?\nAnswer: 142890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from ifrairrr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**3\/3 + 24*f - 1. What is w(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**3 - 277545*i**2 - 831690*i + 49955400 = 0.\nAnswer: -55506, -15, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 + 13*i**2 - 9*i - 12. Let a be j(-7). Suppose 4 = a*q - q - 3*z, 5*q - 2 = -3*z. Solve q = -u - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 380\/13? (a) 4\/13 (b) -0.07 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t + 71. Let l be b(17). Suppose -2*f - 398 = -2*u - 0*f, -3*f + 603 = l*u. Is u a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16896 and 12?\nAnswer: 16896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1602018 and 791120?\nAnswer: 64080720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = -27. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159219*i**2*u**3 - 16*i**2*u**2 + i**2 - i*u**3 + 1600*i*u**2 - 68*i*u + i wrt i.\nAnswer: -318438*u**3 - 32*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {t: 3, l: 3, m: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b + 3*b + 0*b - 6*b - 2*b. Let l(x) be the second derivative of -1\/6*x**4 - 4*x - 15\/2*x**2 + 0*x**3 + 0. What is l(u(i))?\nAnswer: -8*i**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-9)*(-13)\/(455\/84) - (-132 - -118).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -38*k - 135. Determine y(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22481 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1713, -1641, -1521, -1353, -1137, -873, -561?\n\"Answer: 24*p**2 - 1737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, -22, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6136, -6071, -6006, -5941, -5876, -5811?\n\"Answer: 65*h - 6201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93\/(-756) - (-28)\/63 - -6*(-4)\/42.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11757719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21263330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2394 + -1135. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 + (-22 + 13 - 0) + -28\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 10*s**2 + 9*s + 25. Let b be l(11). Let y = -42 - -49. What is the closest to y in b, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 3:18 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79062685\/171 + -462357. Let x = -20\/9 - r. Let g = -12 + 10. Sort g, 0, x, -0.02 in descending order.\nAnswer: 0, -0.02, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 23 = -5*c. Let v = 4 - -15. Solve 4*t = -5*g - 30, -v = -2*t + c*t + 2*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/1*45\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5694, -3642, -1590, 462?\n\"Answer: 2052*p - 7746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15617 and 50.\nAnswer: 780850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 157\/95 + (-233172)\/1020 + 227?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24 + 3*n**4 + 10*n - 6*n**2 - 2834*n**3 + 2843*n**3 - 46*n.\nAnswer: 3*(n - 2)*(n + 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 20 = -22. Suppose f + h + 212 = 4*f, 5*h = x*f - 196. Calculate the greatest common divisor of 27 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54.9+4.1\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (52047\/12)\/((-2)\/(-4)*(-66)\/(-44))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 6*s**2 - 8*s + 2. Let d be t(2). Let z be 9\/d + 16\/32. Solve -z*b = -11 - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*k - 5*d - 207, k + 4*d = -60. Is k\/(-112) - 774\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 39*z - 841. Let r be w(-13). Solve 4*h - 2*a = -14, 0 = h + 3*h - r*a + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 3*j - 1 = y, 4 = y. Let m be 10\/(-25) - (j + (-52997)\/5). Suppose -9*f = -7*f - m. Round f to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121 minus 0.6535847?\nAnswer: -0.5325847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6747.129ug?\nAnswer: 0.000000006747129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3 - 9*c**2 + c - 10. Suppose -10*b - 290 = -537 - 553. What is the remainder when v(8) is divided by b?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10*1 - 38\/95\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30 + (-75)\/3 + 277*65?\nAnswer: 2, 5, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 - -0.48. Let v = -0.350001 + y. What is v rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 450804 to the nearest one thousand.\nAnswer: 451000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2658 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 q when three letters picked without replacement from qjnnzqniini.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7934?\nAnswer: 2, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 165, 3, -2, 716 in descending order.\nAnswer: 716, 165, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -10*c**2 + 11*c + 11. Calculate y(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*t - 162. Let o(d) = -d + 3. Let i be o(0). Calculate the highest common factor of i and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 1 = 15. Which is the biggest value? (a) z (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313.304 days in microseconds?\nAnswer: 113469465600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*u + 5*f, 2*u - 26 = -5*f - 50. Put 0, 11, 1, u in descending order.\nAnswer: 11, 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/4)\/u)\/((u*u**(1\/2)*u)\/u))**(-4\/11))**(-2\/17) assuming u is positive.\nAnswer: u**(-2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 122 = 32 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 384852 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4551779\/13 - -350137. Let l = -0.02 - 1.98. Let a = l - -2.4. Sort 5, c, -4\/5, a in descending order.\nAnswer: 5, a, c, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 1626387.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/(k\/((k**(2\/7)\/k)\/k)*k*k))\/((k*k\/k**(3\/4))\/(k**(4\/5)*k)) assuming k is positive.\nAnswer: k**(-1283\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2071*h - 301*h + 20322*h + 13780*h in the form l + b*h and give b.\nAnswer: 31730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 = 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*x = -x + 1, -3*r - 7 = -5*x. Let w be (-7)\/(-1)*r\/(1 + 0). Suppose -13*v + w*v + 576 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 8*z - 6*z - 8184, -6*z + 5*q + 24468 = 0. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(88)\/sqrt(4))\/(sqrt(2) - (sqrt(162)*-2 - sqrt(162))) + 2)**2.\nAnswer: 4*sqrt(11)\/7 + 207\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 2\/7 (b) -2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2 - 3921100*n + 7842196 = 0. What is n?\nAnswer: 2, 3921098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 9*b + 10. Let z be n(-8). Suppose z = 5*s - 8. Is s*-1 + (-6 - -139) composite?\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, 185, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -37*r**2. Let y(g) = 8*g - 470 + 470. What is z(y(l))?\nAnswer: -2368*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39296654409136 and -5?\nAnswer: 39296654409131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72549630221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3699 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42153 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2582*g**2 - 2*g**3 + 2582*g**2 - g)*(3*g - 2*g**2 - 3*g) + (0 - 1 - 2)*(-3*g**5 + g**5 + 3*g**5).\nAnswer: g**5 + 2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 144 = -3*y, -2*c - c - 2*y + 125 = 0. Let i be 5 + 1 - (-6)\/(-3). Suppose 3*p + c = i*f - 5, -4*f - 5*p + 44 = 0. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26445 is divided by 156.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 419*y - 5 + 5 + 697*y - 66*y to r*y + f and give r.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-3) + 516 + -4. Let l = 278 - v. Let a = -154 - l. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/45 and 25\/122034?\nAnswer: 1830510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 0, 5*g - 3*v + 12 = g. Put -0.5, -5, 1, g in descending order.\nAnswer: 1, -0.5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184, -789, -1762?\nAnswer: -2735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/732250 and 19\/45450.\nAnswer: 6590250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-125))\/((-3)\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 401297243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.5? (a) 3.93 (b) 12 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -20. Let m = a - 35. Let z = -17.026 - m. Round z to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1646737 - 0.1.\nAnswer: -1.2646737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13685? (a) 1 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 14*t + 5*t)*(-184*t - 164*t + 213*t).\nAnswer: 1755*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n + 50. Is ((-953)\/(-3))\/(n\/(-90)*-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 1. Let z(l) = -l**2 - 3*l + 3. Let f(o) = 3*p(o) - z(o). Let h(s) = -32*s**2. Give h(f(v)).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 - 4 = 5*v, -6 = -2*v. Suppose 6*d - j = 2*d. Suppose -d = 4*b - 23. Solve 0 = -y + t + t - 10, -20 = b*y - 4*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-3)\/(-306)). Suppose -r + 18*f - 19*f = -z, -4*f + 20 = 0. Let u = -36 - -58. What is the smallest common multiple of u and r?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*(-288)\/108?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuquqqqququouq. What is prob of picking 1 q, 2 u, and 1 c?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 104\/7998865?\nAnswer: 104\/7998865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 242\/110*(-56)\/(-154). Let p be (-3)\/((-5)\/(-2) - 1). Which is the second smallest value? (a) p (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -209.8 and -3.4.\nAnswer: -213.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(-9)\/6 - 3. Let r = 8 + p. Let k be (-64)\/(-6)*356250\/r. Round k to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**3 + 6*z**2 + 4*z + 2. Let n(r) = 11*r**2 - 2 - 2 + 8 - 5*r**3 + 7*r. Suppose 5 = -2*m + h + 21, -11*m = -2*h - 81. Determine m*j(l) - 4*n(l).\nAnswer: -l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 + 1206*a**2 - 117369*a = 0 for a.\nAnswer: -483, 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 10 + (-11 - -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-5 + sqrt(44)\/sqrt(4) + sqrt(11))**2 - (sqrt(396))**2) + (sqrt(121)\/(sqrt(44)\/sqrt(4)) + 0)**2).\nAnswer: 80*sqrt(11) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 2*f**2 + 4*f. Let r be q(-3). Put r, -2, 2 in descending order.\nAnswer: 2, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k - k**2 + 11*k. Let w(u) be the second derivative of u**6\/360 - u**4\/3 - 3*u. Let m(j) be the third derivative of w(j). Determine a(m(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -9*s**5 - 39*s**4 + 273*s**3 + 735*s**2 = 0.\nAnswer: -7, -7\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 43*u - 48*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtggrgggrrrtrgrg. Give prob of sequence tg.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 3*v + 5. Let k(b) be the second derivative of -b**4\/2 + 5*b**3\/2 - 13*b**2 - 43*b. Calculate 11*c(t) + 2*k(t).\nAnswer: -t**2 - 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -602 times -4.5?\nAnswer: 2709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from kkiikiikik?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 37b7b?\nAnswer: -37b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**9\/3024 + f**6\/180 - 2*f**3\/3 - 3. Let n(q) be the third derivative of j(q). What is the third derivative of n(h) wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -9*z**5\/20 - z**4\/6 + 5*z**2 - z + 49. What is the third derivative of f(w) wrt w?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(704) + -2)*-3.\nAnswer: -72*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 2*p**2 + 2*p - 1. Let v be b(3). Let n = 1 + v. Let r = -16.9 + 14.9. What is the second smallest value in n, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*l**3 + l**2 - 61*l**3 + l - l + 127*l**3.\nAnswer: 17*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -y - 2*c, 3*y - 19*c = -22*c + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 10*d + 117. Give m(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4596 smaller than 3844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 24736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 272 = 61*k - 59*k, 15 = 3*n. Suppose 17 = x + 108. Let f = x + k. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 18*h - 63. Let v be t(-14). Let r(g) = g**3 + 9*g**2 + 16*g + 10. Let i be r(v). Put 4\/3, i, 0.3, 2\/7 in descending order.\nAnswer: 4\/3, 0.3, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-2 - -1) + (-765)\/(-17). Which is bigger: v or 46?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1160012*h*x - 7490395*h + 14*x wrt x?\nAnswer: 1160012*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1143 (base 5) to base 6.\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f - 10. Suppose 4*b - 30 = -h - 4*h, 3*h = -5*b + 31. Let u be s(b). Let p be 1142\/6 - 20\/u. Calculate the greatest common divisor of p and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/3 - 44*s**3\/3 - 818*s**2\/3 + 44*s\/3 + 272 = 0. What is s?\nAnswer: -12, -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f + 22*f = 37*f + 270 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*r - 0*r + 10, 3*r - k = 22. Suppose r*i - 10 = 2*i. Solve -d + i*u + 3 = 0, -3*d = 2*d - 5*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07078 - 0.42922. What is the nearest to 25 in o, 50\/9, -1?\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + -3.4. What is the third smallest value in -5\/2, n, -3, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 246327.9 seconds?\nAnswer: 246327900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 104\/(-4) - 6\/2. What is the units digit of (q\/3 + 2)\/(16\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -28*o. Let g(w) = 26*w + 35*w + 15*w - 64*w + 14*w. Calculate s(g(c)).\nAnswer: -728*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164362 and 1457.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 k when three letters picked without replacement from kkkkkkkikkhkkk?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 114*o. Let x(r) = 117*r - 2. What is x(l(z))?\nAnswer: -117*z**2 + 13338*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(-11))\/(((x**1\/x)\/x)\/x*x))\/(x**(-2\/5)*x*x*x**6))**(-1\/26) assuming x is positive.\nAnswer: x**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1333 and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10070 and 3445.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25887*i + 4094220 = 25965*i. What is the ten thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssasassaaasa. What is prob of sequence asa?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 - -86.06. Let n = 2.01 + 1.99. Which is the closest to -3\/5? (a) 5\/2 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 84900004 = 2*q, 3*x + 23202299 = 3*q - 61697707. What is x rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5742 - 3012. Let l = u + -1616. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**3 - r**2 + r + 1. Let b = -2 + 1. Let i be s(b). What is the smallest value in 2, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3. Let a(b) = v + 2 - 2 + 1. Let n(z) = 2*z**3 - 2*z**2 - 3. Suppose 2*j + 2 = 0, 0 = -3*y - 2*j - 8 + 3. Give y*n(i) - 4*a(i).\nAnswer: -2*i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 4658.\nAnswer: 18632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 7242456?\nAnswer: -7242454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:33 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x - 148. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 781160\/56 - ((-9)\/(-7) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80.171 - -0.171. Let y = 864.6 - 778. Let h = f + y. Round h to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjlvjjwpjjjjvp. Give prob of picking 2 v and 1 l.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 19*n + 70. Determine q(24).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 5*d**2 - d - 3. Let f be n(-5). Let u be 1 - f - -2*2. Let l be -10 + (-82 - -12)\/(-14). What is the smallest value in l, u, -5\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 625. Calculate the greatest common divisor of v and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven halves of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 2*m + 1. Let c(p) = 4*p**2 + 0*p**3 + 10*p**2 - 2 - 13*p**2 + p**3 - 3*p. Let o(a) = 6*c(a) + 5*u(a). Give o(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by -2.\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 6 = -2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {q: 5, d: 14}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y**3 - 4*y**2 + 5*y - 7. Let m(r) = 137*r**2 + 3565*r + 75. Let d be m(-26). Let u(s) = 4*s**3 - 2*s**2 + 3*s - 4. Calculate d*z(k) + 5*u(k).\nAnswer: -k**3 + 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -239\/30030 and -29\/26712.\nAnswer: 19099080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36070.2, 1, -4\/53 in increasing order.\nAnswer: -4\/53, 1, 36070.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2776*v + 10*v**4 - 4 + 2774*v + 2*v**4 + 1 as d*v**2 + z + q*v + x*v**3 + j*v**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15790 - 2697. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 156 = -14*y. Suppose -100 = -y*i + 8*i. What is the highest common factor of i and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (21 - 20) - 12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - h - 4. Let u be f(3). Let k be -2 + -4 + 4 + 6. Suppose 0 = 5*z + k*g + 25, -u*z - g - 3 - 4 = 0. Let a(x) = -4*x**2 + 2*x + 1. Give a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 72*j**2 - 2*j + 2. Let t(w) = 143*w**2 - 4*w + 4. Give -7*m(n) + 3*t(n).\nAnswer: -75*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 = -2*n, -n = 2*n - 2*w - 25. Let d = n - -17. Suppose -j + 3*l + d = -24, 0 = 2*j + 4*l - 106. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 8 + 4. Suppose 7 = o*u + 1. Suppose -u*g + 4*g - 62 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10 - (-5936)\/(-9540). Sort 0.01, x, 1\/3, 4\/7 in descending order.\nAnswer: 4\/7, 1\/3, 0.01, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 3:10 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/20 + a. Let j = 1 + -2. Let h(o) = 2 - 8004*o**2 + 16165*o**2 - 2*o**3 - 8163*o**2. What is j*h(v) - 3*c(v)?\nAnswer: -v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 210*n**3*t**3*z - 24*n**3*t**2 - 2*n**2*o*z**2 - n*o*z**2 - n*t**2*z - o*t**3*z**2 - o*t**3 + 2*o wrt t?\nAnswer: 1260*n**3*z - 6*o*z**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z + 555 - 1062 + 511. Let k be (-2)\/(-6) + (-2)\/6. Let b be w(k). Solve b*t + o = 11, 3*o = 3*t - 0*o - 27 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 577869165 divided by -549.\nAnswer: -1052585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 201240?\nAnswer: 201232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a4 (base 11) to base 15.\nAnswer: -3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551530?\nAnswer: 2, 5, 155153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -77? (a) -1 (b) -0.8 (c) -0.2 (d) -3 (e) -2\/93 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.12007386 - -0.02035186. Let x = -6.1 - v. Round x to five dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5504*d - 5528*d + 4320. Solve -6*q = 24*q + d for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -5*o - 14, 70*o - 68*o = j + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6905123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/7, -0.04, 3, -47?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*j - 22, 5*j - 8 = -2*x + 9*j. Let v(r) = r**2 + 8*r + 6. Determine v(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12110221 (base 3) to base 6\nAnswer: -30254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7483*z**4 + 2554*z**2?\nAnswer: 179592*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 5. Suppose -2*l + 29 = o*v, -20 = 2*v - 4*v + 2*l. Suppose v*k - 2*k = 90. Calculate the remainder when 34 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 4)*(-7352*l + 169*l**2 + 7352*l) + 6*l + 4 - l**2 - 4 to c*l**2 + q + j*l and give c.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/5 + w**4\/5 + 6*w**3\/5 - 14*w**2\/5 + 11*w\/5 - 3\/5 = 0. What is w?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*v - 15, 9*v - 4*v = -20. Suppose -5*l - 5*n = 40, n = 5*l - 2 + 12. Sort a, l, -4 in descending order.\nAnswer: a, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(300\/(-5)))\/(8\/(-20)). Which is the third smallest value? (a) -6 (b) -1 (c) 3\/2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1186960, 2373919, 3560878, 4747837, 5934796?\n\"Answer: 1186959*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 732 and 69?\nAnswer: 16836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 3\/5 (c) -3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -7468 and -3\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 13*y**2 + 11*y + 12. Let u be t(12). Let q be -3*(u + 4\/(-6)). Find the second derivative of -7*b**2 + 4*b**2 + b**q - b - 2*b wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + 6. Let p be m(2). Suppose -p*s = s + 81. Let i = s - -23. Is i smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 11) to base 14\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6721 + 7319. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1 - 0) + -2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/((sqrt(12)*1)\/sqrt(6)) - ((-2*sqrt(2016) + sqrt(14))\/sqrt(2))**2) + 3.\nAnswer: -3700 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31421 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*o + 87*o = -220. Solve 8*w = 4*w - o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 183?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:50 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 4*r**2 + 4*r + 13. Does 22 divide v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1. Let j(t) = 8*t + 3. Let o(n) = 26*n + 10. Let r(h) = 16*j(h) - 5*o(h). Give -r(v) + 4*u(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1574083\/113790 - 2\/18965. What is the common denominator of -71\/356 and k?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c = 18*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-219)\/(-30) - 2)*-14. Let h = n + 74. Let t be (-896)\/2912*(-3)\/(-6). Which is the fourth biggest value? (a) t (b) h (c) -5 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/7)\/((3\/(-14))\/((-585)\/(-780))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 2\/7 (b) -85 (c) 9 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*f + 5 = 0, n = -n - 4*f - 12. Suppose -h - n*w = -w + 10, 5*w = 15. Which is bigger: h or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 14*l**2 - 18*l - 31. Let q be m(-15). Suppose 3*h + 2431 = q*h. List the prime factors of h.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 303515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 160.1 and -0.5?\nAnswer: 160.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 13 = 3*i - 89, -14 = -x + i. What are the prime factors of (-3)\/(x\/14)*-12?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -2.3. Let x = u - 2.1. Let v be 32\/(-60)*3\/12. Which is the closest to x? (a) -1\/4 (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 35. Solve n*u = y - 22, 0*y - 2*u - 13 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5, -2, -23\/5, -14155 in decreasing order.\nAnswer: -0.5, -2, -23\/5, -5, -14155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/143 + 530\/1001. Let a = -5 + 8. Factor 0 + 2\/7*u + w*u**2 + 2\/7*u**a.\nAnswer: 2*u*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(143))\/sqrt(11))**2 + 3.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -6*6\/44. Suppose -4*v = -9 - 7. What is the nearest to -1\/4 in d, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 125868.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24592 and 1407892.\nAnswer: 5631568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1967421.\nAnswer: -1\/1967421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -135553 (base 8) to base 2\nAnswer: -1011101101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -139 + 128 + (35\/30)\/(43\/406)\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1167\/(-3112) + (-1895)\/(-40).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 289*b*o**2 - b*o - b*q**2 + 70*o**2*q**2 + 94*o*q + 2*o + 13*q**2 wrt o?\nAnswer: 578*b + 140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 48.6, -0.19, 1\/623, 1\/8 in decreasing order.\nAnswer: 48.6, 1\/8, 1\/623, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 3448*r**2 + 16 + 22*r + 1745*r**2 + 1716*r**2. Give j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*h - 110*h = 945 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 98 (base 11) to base 4\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*g - 2381 = 52*g. Is g a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 9*c + 3 to the form p*c + j and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n. Let f = 13 - -6. What is the remainder when f is divided by (n\/1 - -8) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*d + 3, 4*y + 18*d - 130 = y - 6*d - 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 3 + -1 + (-6 - (-11 - -17))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 6*y**2 - y**2 + (13*y - 8*y + 4*y)*(7*y + 7 - 7).\nAnswer: 65*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 786, 3680, 8482, 15174, 23738?\n\"Answer: -3*u**3 + 972*u**2 - u - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)\/f)**(-7)*f**(-10)*f**(-1\/6))**(-13) assuming f is positive.\nAnswer: f**(221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2563854 - 3813854. What is s rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let y = -10 - -4. Suppose 3 - 24 = -o + 5*h, 0 = 4*o + 4*h + 12. Let j(w) = -6*w + 10. Let n(g) = o*j(g) + y*x(g). Differentiate n(p) wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and (-48)\/(-216) + 34\/9 - 0?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72195 is divided by 189.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 148*d - 110. What are the prime factors of l(12)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + sqrt(68) - sqrt(68))**2 - (1 + ((-2 + sqrt(68))**2 - sqrt(68)) - sqrt(68)).\nAnswer: -60 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 696.95 + 13.05. Let c = -708.8 + p. Put -1\/5, 8, c in decreasing order.\nAnswer: 8, c, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3106 + -3118 - (-1 - 1) - (0 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -85 (b) -80 (c) 1 (d) 1\/4 (e) -200\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 = -20. Sort -4, -8, v.\nAnswer: -8, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + a**3 + a**3 + (-3*a**3 + 4*a**3 + 0*a**3)*(-1 + 3 - 1) + 4*a - 2*a**3 - 4*a)*(-a - a + 11*a).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a23 (base 16) in base 13?\nAnswer: 4baa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -448\/2343 - -2\/213. Let n = -14 + 30. Which is the second smallest value? (a) k (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62278 divided by -5\nAnswer: -62278\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 5*m - 2. Let r be i(5). Let u be (15630 + -5)\/(r\/(-960)). What is u rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24203 (base 6) to base 15\nAnswer: -10a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z - 17*z + 18*z - 66 + 66.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-201)\/(-69)*-1 - -6) + -3.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 26 = -j, -4*w + 2*j - 3 = -125. Calculate the remainder when 228 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -294 (b) 4\/3 (c) 0 (d) -151334\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/361 - -1104\/2527. Let g(a) = -a**3 - 4*a**2 + 3*a - 7. Let m be g(-5). Factor 1\/7*o**2 + u*o**m - 2\/7*o + 0.\nAnswer: o*(o + 1)*(3*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24303 (base 6) in base 13?\nAnswer: -1815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 i when four letters picked without replacement from iiccpiciici?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2. Let n(u) = -1 - 3631*u**2 + 3620*u**2 + 1. Calculate y(n(g)).\nAnswer: 605*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 48. Suppose -576 = 5*f - d*f. Suppose -5*o + f = 3*y, -3*o - 173 = -3*y + y. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*m - 7755249 - 6759846 = 3918308. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + 11*q + 22. Calculate u(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38695, -77416, -116157, -154918, -193699, -232500, -271321?\nAnswer: -310162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - w = -5, 2*d - 3*w = 26 + 4. Suppose -d = -3*j + 213. Suppose -5*z = -f + 10, 4*f - z = -f + j. What is the greatest common divisor of f and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69104 and 2912.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/(-6)*4)\/((-8)\/788)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 246 + -168. Suppose 0 = -n - 2*w + d, 12*w + 159 = 2*n + 17*w. What is the highest common factor of n and 576?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3778)\/(-4)*(-1 + 3)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1383164520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -13153353?\nAnswer: 13153346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2. Let a(j) be the first derivative of 0*j**3 + 0*j**2 + 5*j - 13\/6*j**4 - 6. Let f(p) be the first derivative of a(p). Calculate f(b(k)).\nAnswer: -104*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:37 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/2327477 and 83\/18619816.\nAnswer: 18619816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (10 + 6 + -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**4\/24 - q**3\/6 + 16*q**2 + 2*q. Let c(t) = 6*t - 2. Let a be c(2). Let o(w) = w**2 + 5*w - 5. Calculate a*i(x) - 2*o(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3142?\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(38)\/sqrt(2) + 4 + (sqrt(2736) - (sqrt(2736) + 4)**2) - ((sqrt(209)*-2 + sqrt(209))*5 - sqrt(209))\/(3*sqrt(99) + sqrt(11)).\nAnswer: -2748 - 407*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 175\/30 - 6\/(-36). Let g(h) = -2*h**3 - 13*h**2 - 10. Let f(c) = -c**3 - 6*c**2 - 5. Calculate b*g(l) - 13*f(l).\nAnswer: l**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551037 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q**3 + q**2 + 1\/180*q**6 + 0 - 1\/30*q**5 + 0*q + 1\/18*q**4. Factor m(v).\nAnswer: 2*v*(v - 2)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*s**3 - 8*s**2 wrt s?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(92\/(-16) - -5) + -5. Let z be 69\/30 + ((-12)\/i - 3). Suppose -s + 3*s = 2*n - 10, -4*n = 0. Which is the nearest to 3\/7? (a) s (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 l when three letters picked without replacement from {l: 3, v: 3, o: 3, f: 2, t: 1, w: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 31*l - 28*l - 18, -4*l + 24 = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576493 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.588 rounded to one dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*m + 25 - 129 = 0, -3*c = 3*m - 66. Suppose 2*v + 0*a - 2*a = 50, 0 = -5*v + 2*a + 110. Is v > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16090 = -9*a + 124643. List the prime factors of a.\nAnswer: 19, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 0 + (-66)\/2. Let z = 46018 + -368417\/8. Is z at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45 + 46*m**2 + 20 + 20 + (3 - 3 - m)*(-m + 31*m + 32*m).\nAnswer: -16*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 967149 and 11268.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -938279342 divided by -297206?\nAnswer: 3157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-2\/49))\/i*(i**(-35)*i)\/i)**(-39))**(-4\/9) assuming i is positive.\nAnswer: i**(-29692\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.686 + -8964.372236.\nAnswer: -8966.058236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*i - 1591555, 0 = -2*i + 3055*p - 3060*p - 795755. Round i to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11525 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.993 rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(sqrt(1100) + 1*sqrt(1100) + -4) + 4 + ((sqrt(11) - ((sqrt(176)\/sqrt(4))**2 + sqrt(11))) + sqrt(11) - (-1 + sqrt(891)))*-4.\nAnswer: 161 + 92*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 13 = 5*o - 0*o, 0 = 2*r + o + 7. Suppose 0 = -16*f - 41 - 71. Sort r, f, 2 in decreasing order.\nAnswer: 2, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 4 (c) -0.061 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 92 = -11*t + 4*n, 3*n = -3. What is the greatest common divisor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.56 take away 642322?\nAnswer: -642315.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -29, -136, -327, -626, -1057, -1644, -2411?\nAnswer: -3382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8807129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3305473739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -1691, -1.\nAnswer: -1691, -38, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/18 and -23\/5143804.\nAnswer: 46294236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Let h = -3.2 + i. Let w = -13 - -13. Which is greater: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14331\/4 - 3564. Let z = -13\/333 + -2231\/666. Find the common denominator of c and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -4, 426, -1 in decreasing order.\nAnswer: 426, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -3*g**6\/5 - g**5\/20 - g**3\/6 - 14*g**2. What is the third derivative of k(n) wrt n?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -20 (c) 0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*c = 3*c - 4, -4*z - 4*c - 16 = 0. Let t be 2\/3 + z\/(-3). Suppose a - 2 = t*a + 2*u, -2*a = -5*u - 23. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from gvzzorvvzoz.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:36 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8331301 is divided by 4731.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11022*g - 484966. What is b(-44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(896))\/(sqrt(8) + -4*sqrt(8)*-2).\nAnswer: 20*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 - 11*i - 27. Let n(t) = t**2 - 4*t - 9. What is 17*n(y) - 6*p(y)?\nAnswer: -y**2 - 2*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(-322))\/((-53)\/4). Let v = 28029\/4876 - i. What is the common denominator of v and ((-2)\/(-28))\/((-1)\/31)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.28 and 0.23937413?\nAnswer: 2.04062587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*((-1)\/(-2) - 0). Let n be l + 0 + (19 - 2). Suppose 10*k**2 + 4 + 3*k**4 + n*k + 0*k**4 + 10*k**3 + 8*k**2 - k**4 = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 - 597611*z + 597610 = 0. Calculate z.\nAnswer: 1, 597610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.962602g?\nAnswer: 7962602000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28baa53 (base 12) in base 2?\nAnswer: 11111010100010001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -617822315, -617822317, -617822319?\n\"Answer: -2*g - 617822313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 u, and 1 q when four letters picked without replacement from {u: 1, q: 1, j: 2, a: 2, s: 7, n: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 10*i - 7. Let r be l(10). Let q be (r + 2)*(-3 + 2). Suppose q*y + 3*w - 135 = 0, 5*y - 3*w = -2*w + 135. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*n + 2 = 0, -n = 4*n. Let p be (34\/4)\/(h\/(-356)). Let d = p - -15163\/10. Find the common denominator of 52\/11 and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-8 - (5 + -5 - 3 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82903 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2*(-66)\/44)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32547 is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 4 (c) 3\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-270)\/(-36))\/((6\/16)\/((-3)\/(-6)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5623367*i**3 + i**2 + 4754042*i?\nAnswer: 33740202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*g - 944*g - g**2 + 190*g + 205*g + 194*g + 199*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 3*j + 45. What is z(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -3)\/((-3)\/6). Find the third derivative of 2*z**4 + 2 - h + z**2 wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x + 5. Let c(q) = -q**2 + 9*q - 8. Let b be c(8). Let z = -5 + b. Let l be s(z). Let k(y) = -y - 6. Determine k(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001786455 to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 - 2*w + 3*w + 0*w)*(-1 + 0 - 2) as u*w + a and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**8\/28 - r**4\/3 - 12*r**2. Find the second derivative of t(g) wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/4 (b) -2\/13 (c) -0.3 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1245159 to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 8*y - 8. Suppose 0 = 8*n - 19*n - 88. Let j be s(n). Let u(m) = m**2 + 10*m + 4. Determine u(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2475146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/60 - 79*i**5\/30 - 20*i**4\/3 - 11429*i**2. Let q(w) = 0. What is w?\nAnswer: -1, 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0227 + -175.0773. Let w = -136 + -47. Let x = a - w. What is x rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**3 + 2*j**2 - 8*j - 8. Let z(g) = 3*g**3 + g**2 - 5*g - 5. What is -5*n(l) + 8*z(l)?\nAnswer: -l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 53174, -0.1, -3\/2 in descending order.\nAnswer: 53174, -0.1, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6278 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Let j = -1 + -1. Let a = j - z. Solve a + 4 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**3 - 2*i - 2. Let s(k) = -9*k**3 + 0*k**3 - k**3 - 7*k - 2 - 5. Give -4*s(n) + 14*x(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50*c**3*k**2 + 11236*c**3*x - 59*c*k**2 + 2*c*x + 3*k**2*x wrt k?\nAnswer: -100*c**3*k - 118*c*k + 6*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*i + 1609 - 1574 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-18))\/((-1)\/(-36)). Let h be (-15)\/d + (-7)\/21. Let v = 2832\/13 - 218. What is the closest to h in 5\/6, 4, v?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54 and -13187.\nAnswer: 712098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 2:43 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 31*f + 450. Let x be m(-16). Is 6 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-145530\nAnswer: 582120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -501, -997, -1495, -1995, -2497, -3001?\n\"Answer: -h**2 - 493*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28332144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyoyyoyyy. Give prob of sequence ooy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(4\/10) - 1. Suppose -a - 14343 = -q + 10453, 16 = z*a. Suppose g = -g + q. What is g rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + 0. Let r = -0.09 + 0.09. Let z = -1 + 0. Which is the second biggest value? (a) h (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 12. Let b(c) = c - c + d*c. Let v(m) = m - m + 2*m - 5*m. What is v(b(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 - -2) - (2 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 4*g**2 - 5*g. Let l be r(5). Is l less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1100374 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3873 less than 3872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -57aa79 - 40?\nAnswer: -57aab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6485, 24079, 52785, 92603, 143533, 205575?\n\"Answer: 5556*a**2 + 926*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, e: 9}. What is prob of picking 1 d and 3 e?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 0 - 5*q - 1 - 1 - 2. Is i(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 + 5 = 0. Let q be -4 + d + -1 + 4. Is q\/8 + 774\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**7\/1260 - h**6\/90 - h**5\/20 - h**4\/9 - h**3\/2 - 20*h. Let d(s) be the second derivative of v(s). Factor d(n).\nAnswer: -2*(n + 1)**2*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267809 - 7*g**2 + 17*g**3 - 5*g**3 - 267810 + 2*g to the form j*g**3 + d*g**2 + c + a*g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -449*c**3 - 8*c**2 + 3*c + 67. What are the prime factors of m(-5)?\nAnswer: 3, 47, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 3*j - 2*j)*(-1 + 1 - 6*j)*(j - j + 2*j - 274 - 15*j + 274 + (6 + 0 - 4)*(-j + 3*j + 0*j) + j + 5*j - 4*j) - 604 + 604 - 34*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a - 39 = 0. Let l(y) = 10. Let w(p) = -p - 20. Let s(t) = -7*l(t) - 3*w(t). Does 23 divide s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.95 - 2721.\nAnswer: -2720.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 22*f**3 + 2*f**2 - 1. Let k be 20\/6 - (-2)\/3. Suppose 0 = -5*m + 1 + k. List the prime factors of n(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i**2 - 2*i**2 - 3*i**2 + (2*i - 4*i + 0*i)*(-4*i + 2*i + 0*i) - 60 + 60 + 2*i**2 + 6*i)*(4 - 4 + 2) as k*i + w*i**2 + m and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + g**3)*(0 + 0 - g) + (0 + 0 - 2*g)*(-g - 3*g**3 + g) + (2*g**2 - 3*g + 3*g)*(2*g**2 - 5*g**2 + 2*g**2).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -538*q**5 - 27*q + 27*q + 0*q**4 + 0*q**4 - q**3 + q**5 + q**3 + (2*q**5 - 4*q + 4*q)*(0 - 2 + 4) + 4*q**5 - 7*q**5 - 4*q**5.\nAnswer: -540*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 525 and 375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3352417 is divided by 266.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - -110201?\nAnswer: 111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/5)\/((-13)\/650). Let a = z + -78. Let x(o) = 3*o + 3. Let p(d) = 4*d + 2. Let j(t) = 4*p(t) - 3*x(t). What is j(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -44 (c) 44.82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4370.078t to kilograms.\nAnswer: 4370078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 12*h**3 - 8*h**2 + 4*h. Let u(a) = 37*a**3 - 22*a**2 + 11*a. Calculate -11*k(z) + 4*u(z).\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 3:17 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 6571066.008.\nAnswer: 6571061.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 - 2*p - 19. Is g(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 51. What is the units digit of c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 158912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*p**2 + 2802*c - 783*p**2 wrt p.\nAnswer: -2*c*p - 1566*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-5) - (5 - (-15)\/(-5)). Factor c - 2\/5*t + 1\/5*t**2.\nAnswer: (t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 31. Let h be b(18). Is 66\/110 - (-1262)\/h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4\/2 - 441*z**3 - 158925*z**2\/2 - 310698*z = 0.\nAnswer: -123, -4, 0, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70798 or -0.97?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8 and ((-6)\/20)\/(2\/65).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 17. Let w(s) = s + 17. Let q(a) = 3*o(a) + 2*w(a). Does 12 divide q(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25431, 50975, 76553, 102165, 127811?\nAnswer: 153491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.830164763 to 1 dp.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1961 = -l + p + 1148, -12432 = -4*l + 5*p. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35205 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5293, 0.2, -0.06, -1\/3, 1\/6, -0.03, -9?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 3*j + 2. Let r be 27\/(-36)*(1 - 5). Let b be c(r). Suppose 5*y = 52 - b. Calculate the smallest common multiple of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951*r - 135*r = 355*r - 11064 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 72334?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(81)\/sqrt(3) - -2*sqrt(108).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51155.8kg to nanograms.\nAnswer: 51155800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 12*d - 11. What is the second biggest value in -0.4, -3\/5, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k**3 - 13*k**2 + 23. Let z(q) = -4*q**3 - q**3 - 12*q**2 + 18*q**2 - 11. Let n(y) = -6*r(y) - 13*z(y). Find the first derivative of n(c) wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41743 times 1?\nAnswer: -0.41743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -34825 less than -34825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-2)\/(-2))*(303 + 28) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 4\/5, 3\/5, -3, -2\/9, -18?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17080*w - 7 - 9 + 14 + 0 + 19691*w.\nAnswer: 36771*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2711193 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 28. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2 - (1 - (6 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -1\/7, -1.3, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13163 - -406?\nAnswer: 13602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((63\/(3969\/(-12)))\/(80\/(-6)))\/1.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27936 and 1421244?\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2985860 - 13*k + 5971669 - 2985809.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 2. Suppose -s*x = -42 - 24. Calculate the greatest common factor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -1294*i + 54258. Give b(42).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -2.222.\nAnswer: -1.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -190, 5, -4, -5, -1, -2 in ascending order.\nAnswer: -190, -5, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3805, -7579, -11275, -14857, -18289, -21535, -24559, -27325?\n\"Answer: 6*y**3 + 3*y**2 - 3825*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2.6, 692, -3\/5, -14, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/280*28)\/((-78)\/12)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 519*d**2 + 17*d - 160. What are the prime factors of p(6)?\nAnswer: 2, 67, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2330212 (base 4) to base 5\nAnswer: -341240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -0.0722298\nAnswer: 0.005056086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5254*o - 961474. Give k(183).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 32*o**2 - 46*o + 6. Let a(t) = -25*t**2 + 47*t - 5. What is -4*a(j) - 3*s(j)?\nAnswer: 4*j**2 - 50*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 a when four letters picked without replacement from {a: 15, o: 5}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2554 (base 8) in base 2?\nAnswer: 10101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61\/2 + -2617\/86. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/7)*b)**(-5\/13))**(1\/27) assuming b is positive.\nAnswer: b**(-20\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040 (base 6) in base 11?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 23\/2 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4*w - 4*w - 3*w - 2*w + 7*w.\nAnswer: 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvyy when four letters picked without replacement from vhvhyvdhhyvhvyy.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 213 = -16*k + 11*k, -2*k + 3*l + 88 = 0. What is the remainder when 203 is divided by k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 5*j - 2*s, 29*j = 24*j - 5*s + 105. What is the nearest to 10 in 0.5, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -31\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 1642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 12 = -5*p + 2*r, p = r + 13. Suppose -p = -2*z - z. Suppose 4*b + z*d = 0, -b + 3*d - d = -3. What is the biggest value in 3, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2302367?\nAnswer: 2302367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -53, 243, 657, 1189, 1839, 2607?\nAnswer: 3493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 12*p - 26. Let v be c(-12). Let n = v + 113. Let g = 51 - n. Does 36 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3942 - -3944. Let d(b) be the third derivative of 0*b**4 - 1\/10*b**5 + b**f + 19\/6*b**3 + 0 + 0*b. Differentiate d(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-5) + (-108)\/90. Let c = -6.1 - -3.1. What is the third biggest value in c, 0.4, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q + 51. Let a be s(-9). Let h = -48 - a. Solve y + h*y = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22334, 21812, 21288, 20762, 20234?\n\"Answer: -c**2 - 519*c + 22854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0719, -0.01, -1\/200, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1616 and 2672.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -110011011001?\nAnswer: -110011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 69. Let x = -20.99999964 - g. Round x to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - 3072?\nAnswer: -3082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 889, 1768, 2647, 3526, 4405, 5284?\nAnswer: 6163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2604 - -1055. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24 and -48.2452.\nAnswer: -24.2452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*o + 37 = 0, -2*o - 2 = 2*v - 0. Let s(r) be the second derivative of -2\/3*r**3 - 1\/20*r**5 - r - 2*r**2 + 0 + 5\/12*r**v. Give s(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1242*t + 5 - 5 + 206*t.\nAnswer: -1036*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 695 = -0*r - r, 4*d + 4*r = 680. Suppose -5*i + d = -12. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*z + 6 = -z, -2*z - 18 = y. Let v(l) be the first derivative of l**3\/3 + 5*l**2 - 17*l + 60. Calculate the least common multiple of v(y) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11083 is divided by 5537.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 371819660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320783238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56702*l**3 - 113395*l**3 + 56691*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -402422\/417105 - -360\/403. Calculate the common denominator of h and -37\/3450.\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 2*h + 2. Give b(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f**5\/5 + 262*f**4\/5 + 382*f**3\/5 + 176*f**2\/5 + 24*f\/5 = 0. What is f?\nAnswer: -2, -3\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, 2\/5, -3, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7811364161238 minus -13?\nAnswer: 7811364161251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56819 divided by -3.\nAnswer: 56819\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2) - 2\/4. Let x = -17 + 21. What is the second smallest value in 1\/3, x, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 = 4*v - 311 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -112.921 to the nearest integer.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 149*b + 1575. Determine j(-11).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 - 16489*r**2 + 32764*r**2 - 4*r**3 - 16275*r**2.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 27857025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + 1\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0.1, -0.05842?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 13*i - 20. Let k be y(5). Let d be (-2)\/8*((k - 12) + 5). What is w in -24*w**d + 8*w**5 - 58*w**2 + 0*w**5 + 4*w + 68*w**2 + 2*w**4 = 0?\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6 >= -3\/82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/156413 or 1?\nAnswer: 11\/156413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 34*h + 5. Let s(p) = 6*p**2 - 70*p + 14. Let j(t) = 4*s(t) - 9*u(t). Determine j(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19575 + 10155. List the prime factors of d.\nAnswer: 2, 3, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 - 3*r**2 + 11. Let p(z) = -7*z**3 + 5*z**2 - 22. Calculate 3*p(o) + 5*w(o).\nAnswer: -o**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2035 and 119577821?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4000 is divided by 154?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-125)\/(-2) + (-1)\/2. What is the first derivative of -m*b**3 - 14*b**3 + 53 - 44*b**3 wrt b?\nAnswer: -360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2639894385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-8)*5*12\/(-30).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43971316 divided by -2586548?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202 and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00232947109 rounded to six dps?\nAnswer: 0.002329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 652 - 93 = 0. Let j = r + 899\/6. Find the common denominator of j and 11\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460229?\nAnswer: 7, 11, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - -1 - (-1052 + 1061)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -7. Let q = -1 + 4. Which is the second smallest value? (a) z (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*j - 46 - 198 = -199*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b - 2983 = 98*b + 21*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 164*c - 161*c - 18, 4*v = -4*c + 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -497, -498, -499, -500, -501?\n\"Answer: -d - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l - 12. Let u(j) = -115*j - 1142. Let d be u(-10). What is the lowest common multiple of 20 and d\/(-3)*(10\/l + 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-318)\/9)\/(-1) - 14\/42. Let c be 8*y\/42*6\/4. What is the highest common factor of c and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 18662, 37322, 55982, 74642, 93302?\nAnswer: 111962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -532346*g**3 + 9*g**2 + 2909*g - 3 wrt g?\nAnswer: -3194076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3684 and 1156044.\nAnswer: 354905508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/39129421 or -1?\nAnswer: -6\/39129421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 0*f + 29*f**2 - 1\/60*f**5 - 2\/3*f**3 + 0 - 1\/12*f**4. Calculate z(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a hour in minutes?\nAnswer: 795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + 12760 + (14 - 9)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -7175?\nAnswer: -7175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/3)\/(6\/(-9)). Suppose -16 = -g*q - 1. Let r = -1526 + 1540. Solve 6 + r = 5*s, q*k = s - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451856.\nAnswer: 2, 31, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(5*(sqrt(7) + sqrt(14)\/sqrt(2))) - sqrt(204)\/(sqrt(12) - (sqrt(48) + sqrt(48) + sqrt(48)*2))) + -4.\nAnswer: -4 + 17*sqrt(17)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1155915*i**3 + 1091267 wrt i.\nAnswer: -3467745*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-87)\/(-5) - (-21)\/(-105)*-3. Which is smaller: 83\/5 or y?\nAnswer: 83\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2 + 740*m**5 + 87*m + 419511*m**3 - 419511*m**3 wrt m.\nAnswer: 14800*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**16)**(-2\/15)*((k\/((k*k\/(k*(k*(k\/((k*k**(-7))\/k*k))\/k)\/k*k)*k*k)\/k))\/k)\/k*k**(2\/37) assuming k is positive.\nAnswer: k**(1066\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-3))\/(-1))\/((-3)\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -286584 - -4?\nAnswer: -286580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3887*c - 54362. What is s(-14)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 499979447 to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2785\/126 + 22\/77. Let w = 45\/2 - p. Which is greater: w or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133*t**4 - t**3 + 6*t**2 - 1765*t + 1 wrt t?\nAnswer: 1596*t**2 - 6*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15104834 and -0.1652?\nAnswer: 15104833.8348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 9*q + 1. Let y be i(-10). Let j = y - -30. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8714*j - 1159 = 4334*j + 4361*j for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f + 2*f + f)*(2*f - 2*f**3 - 2*f) + 87*f**4 - 7672 + 7672 as t*f**4 + v + n*f**3 + x*f**2 + o*f and give t.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -y - 5*u, -4*y = -8*y + 2*u + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 9:12 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42197 (base 11) in base 10?\nAnswer: 61453","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**4 - 4*i**3 - 3*i**2 - 2*i + 2. Let l(h) = -h**4 - 5*h**3 - 4*h**2 - 3*h + 3. Let j(b) = -3*g(b) + 2*l(b). Factor j(c).\nAnswer: c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 11*q - 105. Suppose -q*z + 69 = -34*z. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 55 - 318 = 4*w, w + 64 = r. Let p = -106 - -216. Let x = p + w. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5712, 11414, 17126, 22854, 28604, 34382, 40194, 46046?\n\"Answer: y**3 - y**2 + 5698*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a + 22*a**4 - a**5 + 141*a**2 - 3*a - 215*a**2 wrt a?\nAnswer: -60*a**2 + 528*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-2 + (-1 + -8 - (16 + -36)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a04 (base 12) in base 6?\nAnswer: 10404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46221448 divided by -10276\nAnswer: 4498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 10 + 7)*(82*l - 50*l + 89*l)*(-l**2 - 2*l**2 + 2*l**2)*(l - 5*l + 2*l).\nAnswer: 2662*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*o - 104, 6*g - 49*o = -51*o + 112 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -20 + (-6 - (6 + -14 - 17))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:07 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006647 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 3333902.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oofo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-6 + 8 + 3 + -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12507 (b) -0.3 (c) 2\/11 (d) 0.4 (e) 0.5 (f) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/2*(-696)\/18270*-35\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 0.995\nAnswer: -0.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-66231)\/18)\/(-1 - 2\/(-4)). Is -4*(f\/(-12))\/11 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/40 - s**5\/60 - s**2. Let w(k) = k**3 + 2*k**2 - 3. Let b be w(-3). Let p be 8\/2 + 9 + b. What is c(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 2*h**5 + h + 201 - 219 - 4 - h**5 + 4 + (4*h - h - h)*(2 - h**4 - 2).\nAnswer: -2*h**5 + h - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20561 is divided by 101.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1377) + 1) + 2 + sqrt(1377) + 0)**2 + (4 + sqrt(1377)*-3)*2)*-6.\nAnswer: -405270 - 5724*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + (sqrt(171) + 3)*-6)**2.\nAnswer: 576*sqrt(19) + 6412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -600, -2710, -6504, -12210, -20056?\nAnswer: -30270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 724609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2917 - -3?\nAnswer: -2914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*221158.\nAnswer: -22115.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.127, -2, 1?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -543529*r**3 + 4152170*r**2?\nAnswer: -3261174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/(-148) - 3\/((-24)\/26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*(w**(-3)*w*w)\/w)\/w))**26)**22\/((w**(-3)\/w**3)\/((w\/w**(-2))\/(w**(-1\/2)*w))) assuming w is positive.\nAnswer: w**(3449\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 86, 78, 56, 14, -54, -154?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0 + 0)*(-3*a + 2*a + 2*a) - 4*a**2 + 3*a**2 + 0*a**2 + 9*a**2 - 3*a**2 + 850 - 851 - 2*a.\nAnswer: 4*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-58 - (-32 + 10))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 2*q + 2*q + (2 - 2 + 2)*(4*q + 5*q - 4*q) + (-4*q + 3*q + 5*q)*(2 - 3 + 2).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.7 - 8.5. Let x = 17.8 - 18. Which is the closest to -4? (a) x (b) t (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 120817059190 and 183.\nAnswer: 120817059373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7)*i*(i*i**4)\/i)\/(i**1*i*i)**(7\/2))\/(((i\/(i*i**(4\/9)))\/i)\/i**(-5)*(i*i\/((i**(-1)\/i)\/i))**(-5\/14)) assuming i is positive.\nAnswer: i**(-68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(45))**2)*-4 - (4 + sqrt(10)\/sqrt(2) + 1*(sqrt(5) - sqrt(15)\/sqrt(3)) + -2).\nAnswer: -198 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 - 65*c - 1. Let g be k(13). Let f be (-16 - -20) + g + 4 + -1. Solve f*q + 37 = 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2615031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 15\/13, -1\/4, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*m - 3)*(-156 + 16 - 304) to the form g*m + t and give g.\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1. Let s(t) = 3*t - 2. Let g = 115 - 114. Let m(x) = g*s(x) - 2*q(x). Let p(d) be the second derivative of 5*d**4\/3 - d. Determine p(m(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((-1)\/(-2)*2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 7*q**2 - 2*q**2)*(-1 + 1 - 1) - 3*q - q**2 - 11*q + q as f + m*q**2 + r*q and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11836104*z**3 - 2*z - 83969420 wrt z?\nAnswer: -35508312*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -0.3, -0.095, 0, 2\/5, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1901\/15 or 128?\nAnswer: 1901\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -24*f + 4. What is g(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-15)*0 - 0. Let n(d) = -76*d**3 + 75*d**3 + 4*d**2 + 1 + g*d - 4*d. Give n(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.02, -1, -10\/27?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 37*y**2 - 1528*y + 51. Let p(j) = 6*j**2 - 255*j + 8. Give -4*h(l) + 25*p(l).\nAnswer: 2*l**2 - 263*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/6, -277647, 132?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 15, 62, 139, 252, 407?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3\/2 - 31*r**2\/2 + 255*r\/2 - 225\/2 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7044336?\nAnswer: 2, 3, 13, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -254 + 2?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2590\/(-238) - 10\/85. Let c(r) = 19*r**2 + 16*r. Let h(a) = 4*a**2 + 3*a. Calculate m*h(k) + 2*c(k).\nAnswer: -6*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 1 - 1. Let f be b + 1 - (-7 + 4). Suppose 19 = f*h - 131. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x - 181*x + 6335 = 33*x for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48970818 is divided by 877.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1.3, -1.2, -21, -13 in decreasing order.\nAnswer: 1.3, -2\/3, -1.2, -13, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2991*b*z**2 - 9*b*z + 250*o**2*z**2 + 13*o**2*z + 464*o*z wrt z?\nAnswer: -5982*b + 500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s - r - 1, 8 = -2*s + 4*r. Let h be s\/4 - 79209\/6. What is h rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -775ab8 (base 14) to base 4.\nAnswer: -33130221302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4264 + 4264.1. Is k <= 1831\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j + 168. Let d(z) = -z**3 + 20*z**2 + 4*z - 10. Let n be d(20). What is the highest common divisor of n and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 32. Let n be a(16). Let k(m) = m**2 - 10*m - 12. Let i be k(12). Suppose -i*p + 33 - 9 = n. Solve 0 = -p*z - z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**4 - y**4 - 4*y**4)*((y - 5*y + 8*y)*(51 - 138 - 62) + 4*y + 6*y - 4*y + (-3 + 2 + 0)*(-3 + 3 - y)).\nAnswer: 589*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/17 (b) -0.41 (c) -2\/11 (d) 0.3 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x**2 + x + 1. Suppose 2*f + 23 = -17. Let k be (2 + -1)\/((-10)\/f). Is d(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 226425 - 226420, 5*r = -4*g + 6 + 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r. Let u be t(-4). Let f be 14\/4*9\/63. Which is the third smallest value? (a) f (b) -0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411234.6 take away -0.204?\nAnswer: 411234.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -3. Let o be (v + -2)*(-4)\/(-1). Let d(x) = -x**3 - 5*x**2 - 5*x + 4. Let s be d(o). Calculate the greatest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -1 - -2)\/(-3). Suppose -k - 1 + 6 = n. Solve 4*w - 2*a = -12, -3*w + 15 = -8*w + k*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 75, 148, 245, 372, 535, 740, 993?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 747302.\nAnswer: -22419.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9726 times 5?\nAnswer: 4.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1220418.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) -29 (c) 7276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1482085 to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 + 2*y + 1. Let z be i(2). Let q be -8 + 1 + (-6 - -9). Let l = q - z. Solve -u + 6*u - 2*f + 10 = 0, -l*u = 3*f - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amb when three letters picked without replacement from {a: 7, b: 2, m: 4}?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 = -2*b + 4*z, -4*z = -3*b - 246 - 529. Let p be 8\/(-20) - 4\/(-10). Put p, b, 2 in decreasing order.\nAnswer: 2, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 8. Suppose 2*k = -2*k. Let p be s(k). Suppose -p*q + 4*q = -46800000. Round q to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16*-1*6\/(-24). Suppose -f*p - 2*x = -33402, 2*p - 5*x + 4*x = 16703. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(600) - sqrt(24))\/((sqrt(72)*3)\/sqrt(9)))**2.\nAnswer: 27\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f. Suppose 0*o + 4*o = 4*a + 32, 3*o + 3*a - 6 = f. Suppose 15 = -10*y + o*y. Sort 1, -2, y in increasing order.\nAnswer: y, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -57*o - 3. Let d be l(-4). Suppose 9*x = 4*x + d. What is the remainder when x is divided by ((-20)\/(-2 - 0))\/((-25)\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 a factor of 2246160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/5684 and -11\/140.\nAnswer: 28420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -176 + 435. Suppose 9*z + 2*k - 391 = 6*z, 0 = 2*z + 3*k - b. What are the prime factors of z?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**4\/4 - 13*p**3\/3 + 15*p**2\/2 + 8*p + 10. Let q be l(-14). What is the units digit of (q\/18)\/(3\/(-666))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -902 divided by 8?\nAnswer: -451\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -13 + 4. Suppose 0 = -3*g - p - 23, 10 = -2*g - 4*p - 12. Let o be g\/28 + (-30)\/16. Is o less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + -0.2. Which is the second smallest value? (a) 2\/7 (b) o (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*d + 26 = 0, 0 = 20*p - 22*p - 4*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -72*y**2 - 624*y + 108. Calculate k(-9).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -21. Let i = 3 + 4. Let b = i - x. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3633 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245 and 343.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 + -136. Suppose q*t - 58 = -5*u, t - 6*t = u - 30. Solve j + j - u = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 101*k**2 - 6637*k - 740997. Calculate m(-105).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2467588.06999955 - -2467588. Let g = 24.07 + -24. Let w = m + g. What is w rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 + -24 + 20 + 7 + (-18 - -13).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*d + 4700, -2*q - 3*q - 11750 = 5*d. What is q rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 491, -2, 2\/3, 2\/17, 0.9156?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*n**2 + 1\/5*n - 2\/5 = 0. Calculate n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93684378 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 - (-17 - (-55 - -49)) - 131.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6)**(9\/10))**(-22) assuming h is positive.\nAnswer: h**(-594\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvgccvcck. Give prob of sequence cv.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 975*b + 982*b - 6.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2\/286566829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -6416.\nAnswer: -6416, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10 + (-2)\/4*-90. What is the highest common divisor of g and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1818.99183 + 1819. What is z rounded to 4 decimal places?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/7))**(-11)*((t*t*(t**(1\/2)\/t)\/t)\/t)**43 assuming t is positive.\nAnswer: t**(-279\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and 0.1.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 1036063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 2.3. Let i = v + 4. Suppose -36*u - 2904 = -2940. Which is the nearest to -4? (a) u (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*h + 7. Let b(l) = -5*l - 2. Let f be b(-1). Solve -h*a - f + 8 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49761874 a multiple of 1491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.6495866 seconds?\nAnswer: 649586.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2815 by -1.\nAnswer: -2815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000869430704 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 14, 2?\n\"Answer: -12*t + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*q**3 - 17*q*s + 182*s wrt q.\nAnswer: 54*q**2 - 17*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987*d - 982*d - 4*i + 27 = 0, 4*d + 2*i + 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 14*z**2 + 12*z - 17. Suppose -29*g + 4 = -33*g. Let r be -15*(0 - (g + 0)). Is 28 a factor of n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 18*w + 3. Suppose -3*d = 5*n + 64, -4*n + 3*n = -4*d - 47. Is 17 a factor of j(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 69*r + 472*r + 282*r**2 + 12 + 91*r + 232*r = 0 for r.\nAnswer: -3, -2\/141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 10*y + 10. Let r be u(-9). Let i(o) = -o + 4. Let k be i(r). Solve k = -0*d + 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 43*b - 64. Calculate c(43).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**20\/j*((j\/(j\/j**(7\/2)))\/j)\/j*j assuming j is positive.\nAnswer: j**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 57*k**3 - k**2 - k + 2. Let i be v(1). Let x = i + -62. Let c be ((-6)\/x)\/(9\/(-45)). What is the biggest value in 0, -1\/4, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76208 less than 11.4?\nAnswer: -76196.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1, 4, 6 in decreasing order.\nAnswer: 21, 6, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2849)\/(-1694) - (-4)\/(-66)*3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2 + 1738016*f - 3476036 = 0. Calculate f.\nAnswer: -1738018, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/7 - 141*d**2\/7 - 150*d\/7 + 288\/7.\nAnswer: 3*(d - 48)*(d - 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7196 divided by 274?\nAnswer: -3598\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7593 + 1.8193. Which is the third biggest value? (a) k (b) 2\/9 (c) 0.3 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**2 + 4*z**2 + 9*z**2)*(488 - 342 - 346 - 552 - 518).\nAnswer: -7620*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5014599*p**5 - 28*p - 1712 wrt p.\nAnswer: -100291980*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 21264*q. Let c(i) = -17*i. What is n(c(j))?\nAnswer: -361488*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 50. What is the units digit of -2 - (a\/8 - 1374\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n. Let f(k) be the first derivative of 2166*k**2 + 955. What is o(f(y))?\nAnswer: -8664*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25767 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 310044003 (base 5) in base 2?\nAnswer: 100110001111010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8745*x + 14334*x + 14595*x + 25238*x.\nAnswer: 62912*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 5)*(-15)\/9. Suppose -31 = -3*p - 4*o, -2*o + y*o - 27 = -3*p. Suppose -p*l - 4*l = -27. Solve v = 0, 0*v + 12 = l*m + 4*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b - 30*b + 138*b - 29*b - 48*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 132, 281, 458, 675, 944?\n\"Answer: 2*x**3 + 2*x**2 + 129*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3339471*s**2 - 3 - 3339439*s**2 - 15 to a*s + r + k*s**2 and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2 - 11 - 1 + z**2 + 4*z. Suppose -12 = x - 5. What is the units digit of v(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 + -702\/7. Which is smaller: g or 14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - h = 5*t - 88, 0 = 5*t + 4*h - 214. Suppose z - 4*v - 41 = 0, -2*z - 3*v + 58 + t = 0. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 432.718897 to 2 decimal places.\nAnswer: 432.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44541, 89084, 133627?\nAnswer: 178170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = u - 3*s, -12*s + 310 = -3*u + 17*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 - (-333)\/5. Suppose 0*n = -2*n - 0*n. Let k = s + n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p + 118. Let k be f(26). Let y = k - 276. Which is smaller: y or -11\/5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -294000 to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 13*a - 14*a + 19 = 0, -l + 11 = 4*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41\/2 of a century?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1482524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 816 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/35 and (1881\/(-162))\/(-19)*4.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 10*f**2 - 6*f. Let p be g(9). Let d(h) = 10*h - 41. Let c be d(5). What is the greatest common divisor of c and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1004)\/(-185) - 18\/666)\/(3\/(-10))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2478113197.\nAnswer: 7, 673, 526027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. Let j(t) = -116*t + 4525. Let c be j(39). What is the highest common factor of c and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8279 + -3199. What is the greatest common divisor of 30 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-1\/4)*i*i))\/i)**(-2\/115)\/(i\/((i*i**(-1))\/i))**19 assuming i is positive.\nAnswer: i**(-8727\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a day in hours?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 9*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 17. Suppose 4*x + 36 = 8*j, 10 = 2*x - 4*x + 2*j. Let v = 3.02 - 0.02. Which is the nearest to v? (a) -2\/19 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a351 (base 16) to base 13\nAnswer: 16051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 854 and 59353.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(75\/(-10)) + 112\/24. Let n(c) = -c**2 - 2*c. Let p be n(-2). Solve 2*m + m - 4*b - o = p, -4 = 4*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1270*a - 117262*a - 22429*a.\nAnswer: -140961*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187 + 189. What is the nearest to 1 in 3, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(135)\/sqrt(3))\/(sqrt(99)\/(sqrt(44) + sqrt(11))).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8372 is divided by 154?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*d = -182*d + 1722 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 6*k + 12. Let n(x) = x**2 - 6*x - 4. Let p be n(5). Let a be r(p). Let b = -11 - a. Let m(q) = q**3 - 4*q**2 - q + 1. Calculate m(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(1053) + sqrt(1053)*1*-5)**2 + (sqrt(1053) - ((-5 + sqrt(1053) + -1 - sqrt(1053))**2 + sqrt(1053))) + 1 + (sqrt(1053) - (sqrt(1053) + 1)).\nAnswer: 4176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55300.735 days in weeks?\nAnswer: 7900.105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36750 and 7750.\nAnswer: 1139250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-three eighths of a kilogram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7619284 litres?\nAnswer: 761.9284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.123 + -3?\nAnswer: -23.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t**2 - 1 - 322*t**3 + 317*t**3 - 5*t**2 to h*t**3 + o*t**2 + s + m*t and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Let p(i) = -7*i**3 - 2*i - 1. Let u be p(-1). Let r be (-2 + u\/3)\/4. What is the nearest to 1 in 0.1, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4 - 88*f**2 + 87*f**2 - 3. Determine q(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/o**2)\/o*o)*o**1*o**(-2)\/((o*o**(3\/4))\/o))**(15\/4) assuming o is positive.\nAnswer: o**(15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 372.0062 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56050020 divided by 234.\nAnswer: 239530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -357 divided by -4873?\nAnswer: 357\/4873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-40)\/(-42)) + (-11 - (-430)\/40). Which is the closest to -0.1? (a) l (b) -6 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 433 - 355. What is the highest common factor of 12 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 14 - (-13 - 2) - 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1488 and 6388728.\nAnswer: 12777456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -130*f + 133. Let b be r(1). Solve 0 + 11 = -b*h + 5*m, 5*m - 13 = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*p + 4*p = -53, 5*g = -p + 110. Let c(x) = x - 21 + 2*x**2 + g. Let k = 2 - 1. What is c(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140896.\nAnswer: 2, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974671.9l to millilitres.\nAnswer: 974671900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*y - 5*y. Let p be 1*y\/2*90. Is 2\/(-4) + p\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 79 = 3*q + 3*g, 0 = -2*q + 3*g + 109. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -504, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13902 equal to -14\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(192) - (2*sqrt(192)*1 - sqrt(192)) - (sqrt(192) + 1)*-3 - (1 + sqrt(192) + -1 - sqrt(192) - 3*sqrt(192)*1)) + 2)**2.\nAnswer: 672*sqrt(3) + 6961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-408)\/60 + 5)*(-1080)\/228. Factor 0*g**2 - n + 108\/19*g - 12\/19*g**3 + 2\/19*g**4.\nAnswer: 2*(g - 3)**3*(g + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -277, -368, -437, -484, -509?\n\"Answer: 11*o**2 - 124*o - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -8. Let p be (-19)\/380 + 845\/(-100). Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187153 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 562139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2287, 2286, 2285, 2284, 2283?\nAnswer: 2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + 5 + 2*sqrt(8)\/sqrt(4))*1 + (sqrt(8) + sqrt(1000)\/sqrt(5))*-4)**2.\nAnswer: -420*sqrt(2) + 3553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l = -8. Let k = 5.753 - 5.353. Which is the second biggest value? (a) l (b) 4 (c) -0.01 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-1))\/(1\/(-48)). Let t be ((-194)\/776)\/(3\/(-384)). What is the highest common factor of r and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -3.7162 (c) -0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 28.783.\nAnswer: 143.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.863356737 rounded to 1 dp?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -21167 = -21067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 4*b - 4*b)*(-2 - b + 2) + (3*b - 3*b + b)*(b**2 - 2*b**2 - b**2).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*f**3 + 6*f**2 - 286*f wrt f.\nAnswer: 54*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 198 - 199. Let t be ((2 - v)*2\/(-24))\/(-2). Is t not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 65\/42 (c) -3\/4 (d) -5 (e) -4 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20425 (base 12) to base 14\nAnswer: 11497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.67 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1, -207 in increasing order.\nAnswer: -207, -13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -50481 and -54.794273.\nAnswer: -50535.794273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.7349, -71\/3, 0.02 in decreasing order.\nAnswer: 1.7349, 0.02, -5, -71\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j + 3. What is the units digit of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2692649 litres in millilitres?\nAnswer: 269.2649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = 2*y, 4*y - a - 8 = -5*a. Let r = -183 + 178. Let q(z) = z**2 - 9*z - 92. Let i be q(15). Put y, r, i, 3 in descending order.\nAnswer: 3, i, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m + 3. What is the remainder when 4 is divided by a(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 52*s - 479. Calculate z(-25).\nAnswer: -1779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11978.7 - 11979. Is z at least as big as -1\/354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -628355 and -628377 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**2\/3 + 189110*y\/3 - 1788129605\/3 = 0.\nAnswer: 18911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*r + 1419 = 301*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:02 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7\/(l**(-2\/15)\/l)*((l\/(l**(-9)\/l*l))\/l)\/((l*l**(-7\/4))\/l))**(18\/5) assuming l is positive.\nAnswer: l**(3399\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5, 30, 3 in descending order.\nAnswer: 30, 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284254\/81 - 3\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6973 = -17*q + 2989. List the prime factors of q.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1288493.\nAnswer: 1009, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.167, -10, 0.5, 0.3 in ascending order.\nAnswer: -10, 0.167, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 2. Suppose 4*y + 1 = -3*l - 1, 9 = -3*l + 3*y. Let j(b) = -2*b + 3. Determine l*j(z) + 3*g(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (27 + -8 - (41 + -4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 403374740 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*k = k - 10, -3*m + 25 = 2*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1649, 1641, 1629, 1613?\nAnswer: 1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -2 + -348 + 339.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k - 19 + 23 + 2*k to t + x*k and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -54. Let d(x) = 18*x + v*x - 44*x. Let w(u) = 7*u**2. Determine d(w(r)).\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 6, c: 3, h: 1, s: 1, b: 2}. What is prob of picking 1 h and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 2*c**3 + 1 + c + 0*c**2 - 2*c**3. Let w be u(-1). Solve -w*i + 2*i = -3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4205*c**2 - 20*c + 307. Let m(p) = 4204*p**2 - 24*p + 305. Let k(j) = 6*a(j) - 5*m(j). Differentiate k(u) with respect to u.\nAnswer: 8420*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -39. Put 1\/2, -0.5, q, -0.05 in descending order.\nAnswer: q, 1\/2, -0.05, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 836926364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from hhzryzlyyyzzyyyyy?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 18*p + 4. Let t = 28 - 12. Calculate the smallest common multiple of l(-9) and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100000011110110010 (base 2) to base 14\nAnswer: -366b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02866 + -103628666?\nAnswer: -103628665.97134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34885.0341us to weeks.\nAnswer: 0.00000005768028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 16*o - 38 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 + 74 - 74 + (0*c**2 + 2*c**2 - 3*c**2)*(-c**2 + 3*c**2 - 5*c**2).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 8:25 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118881 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f - 37. Calculate the smallest common multiple of 45 and h(12).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 13 = -i, -3*y - i + 28 = 33 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**4\/6 + j**2\/2 + 2*j - 1. Let g(l) be the first derivative of r(l). Differentiate g(x) with respect to x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-3.8\nAnswer: 0.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = -5*x - 1051, -4*p + 1033 = x. Let a = -47 + p. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = -t - 127 + 122, -4*t - 8 - 1 = 4*j + 11 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2796111 divided by -4?\nAnswer: -2796111\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.193 rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -130, -194, -256?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**6 - 81820*o**5 + 461658*o**2?\nAnswer: -120*o**3 - 4909200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - j + 111, s - 6*s = 2*j + 282. Let n = s + 94. Let y be ((-19)\/8)\/(121\/(-6776)). Calculate the highest common factor of y and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198506 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 12. Let u(n) be the third derivative of n**4\/24 - 11*n**3\/6 + 2*n**2. Let z(q) = -3*c(q) - 4*u(q). Let l be z(4). Solve -l + 2 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 87006?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1231202 - 2?\nAnswer: -1231210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.653441 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1703*u**2*y + 137*u*y wrt u?\nAnswer: -3406*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -3.02. Let d = -0.274916 - -3.274856. Let z = f - d. What is z rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42146542 (base 7) to base 12.\nAnswer: 123719a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.139 - -1.329. Let p = i - -0.06. Round p to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*h**2 - 73 + 73)*(-5 + 5 - h**2) - 7*h**4 - h**4 + 0*h**4.\nAnswer: -22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h - 31. Let o be z(7). Suppose o*y = -q + 45, -4*q - 1 = -3*y + 28. Suppose 4*p - 390 = -y*p. What is the highest common factor of p and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -24. Let t = -0.365 - 9.985. Let j = q - t. Round j to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106 - -20?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 67+-0.27\nAnswer: 66.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6962671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 minus -1247?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 370 and 128834.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502568 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: Suppose 0 = 4*j - 9*j - 13*j. Suppose 5*v = -j*v + 2*q + 60, -5*v + q = -60. Solve 5*u + 3*z = -6, u + 0*u - 3*z = -v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (4\/(-26) + -4). Let h = -885.1 + 885. Which is the nearest to h? (a) 0 (b) l (c) 5.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*o + x - 5 = 0, -4*x - 12 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -126, -154, -202, -276, -382?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 122 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 93. Let o(k) = 31. Let i(g) = 7*o(g) - 2*u(g). Let b be i(-14). Let a be 0*3*b\/(-18). Sort 7, 5, a in decreasing order.\nAnswer: 7, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*n**4 - 2*n**4 + 16025*n**3 - 16030*n**3 in the form u*n**4 + f + j*n + d*n**2 + x*n**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 67*t**3\/3 + t**2\/2 - t - 12. Suppose 12 = -4*y - 4*d + 3*d, 0 = -2*y - 2*d - 12. Is f(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 3*y**5\/20 - 13*y**4\/6 + 2*y**3 - 35*y**2\/2 - 8*y + 2. Is s(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by 6\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1326.063 - 1327. What is v rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**5)\/(s\/(s\/(s*s\/(s*s**(-1)\/s)*s))))\/(s**(-1\/3))**41)\/(s**(-8)\/(s\/(s*s**(-1\/7))))**(3\/13) assuming s is positive.\nAnswer: s**(4790\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*x - 30 - 79, 2*x - 50 = 2*t. Suppose u + 21 = x. Suppose -5*a + 15 = 4*o + 2, u*o - 7 = 3*a. Solve 0*k = o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 2\/((-2)\/(-11)). Let p = -4 + i. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/37307 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = -l. Suppose l*n + g - 3*g - 17 = 0, -5*g - 20 = -5*n. Suppose n*z + z = 4*x + 52, 2*x + 42 = 3*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*c = -590*c - 161 - 47949 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 102113.\nAnswer: -58\/102113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -6. Suppose -76*g = -81*g. Let t(c) = 9 - v + c + c**2 + 0*c + g*c. What is t(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 0) + (5 - 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3984*d*t**2 - d*t - 1470*t wrt t.\nAnswer: -7968*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 12*y**2 - 5*y - 17. Let n(f) = 14*f**2 - 5*f - 17. Determine -6*i(d) + 5*n(d).\nAnswer: -2*d**2 + 5*d + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 24. Which is the second biggest value? (a) -0.5 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - 2. Let t = -0.03 + 0.13. Which is the closest to t? (a) m (b) 1 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**1\/g)\/g)\/g)\/g)**(19\/6)*(((g*(g*g**(2\/5))\/g)\/g)\/g)\/g**(3\/4)*(g\/(g*g**0)*g**(2\/9))\/(g\/g**(2\/7))**(2\/7) assuming g is positive.\nAnswer: g**(-95537\/8820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -14*n**2 + 1\/200*n**6 + 0*n + 0 - 4\/5*n**3 - 3\/50*n**5 + 3\/10*n**4. Determine r so that i(r) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 814 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 4*x**2 + 33.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.177 times -7109.33\nAnswer: -1258.35141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -146 - -148. Let y(f) = -79 + 2*f + 79. Calculate y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 5. Suppose 9 = i + 2*i. Sort -0.4, j, i in increasing order.\nAnswer: -0.4, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/7 - 148*n\/7 - 146\/7 = 0. What is n?\nAnswer: -73, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -1\/11 (b) 1\/443 (c) -3\/4 (d) 4 (e) -2 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 6, -1869*l + 11964 = 5*k - 1866*l. What is the greatest common factor of 252 and k?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 5*a**2 + 5*a - 1. Let f be v(4). Let g(p) = p - 10 - f*p - 4*p. What is the remainder when 77 is divided by g(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-1)\/(1\/(-2)). Let x(n) = -n**3 - n. Let y(b) = -5*b**3 - 6*b**2 - 2*b + 1. Let i(l) = t*y(l) + 4*x(l). What is the units digit of i(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**2*n**2*p*u - 42*m**2*n**2*p + m**2*n*p*u - 2*m**2 + 2*m*n*p*u + 11*n**2*p + 9*n*p*u - 7*u wrt n.\nAnswer: -8*m**2*p*u - 84*m**2*p + 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112 - -112.07. What is the biggest value in 3, o, 0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59142096 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = -2*x, -3*x - 5*t + 15 = x. Suppose -3*a + 9 = 5*b - x*a, 22 = 4*b - 5*a. Let y(l) = -2*l**2 + 3*l + 2. Determine y(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -10 (c) -355.4 (d) 8.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, -12, -22, -34, -48?\n\"Answer: -d**2 - 5*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(0 + sqrt(242) + 5)*-4*4)**2*2.\nAnswer: 2027520*sqrt(2) + 4921348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 600 = 48*v + 8*v. Solve v*m - 8*m - f - 11 = 0, -3*m - 2*f = 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -19*s + 113. Let d be t(6). Let j be (-5 + 3 - -5) + 208. Let z = j + -1691\/8. Is d bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2 + 7 + -2))\/(207\/1242). Let h(m) = m**3 + m. Let j(s) = -15*s**3 - 9*s - 1. What is u*j(o) + 18*h(o)?\nAnswer: -12*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/(2*1\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 12, -35*x + 31*x + 44 = -4*y. Solve -4*o + 4*h = -x, -2 = -3*o + h + 4*h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 54*k**2. Let g be (-4)\/16*4*-59*1. Let i(m) = 118 - m - m - g - 59. Calculate a(i(d)).\nAnswer: 216*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*s**2 - 1\/6*s**4 - 1\/2*s**3 + 0 - 1\/6*s = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/997?\nAnswer: -2\/997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-722)\/(-6) - (41 + (-5104)\/116 - (-14)\/6)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b - 2*b**2 - 11*b - 3*b as t*b + w*b**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1509143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85124 - -141679. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*z - 27*z + 0*z**2 - 4*z**3 + 0*z**2 to the form l*z**2 + v*z**3 + t + i*z and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1259, -5, 16, -2 in increasing order.\nAnswer: -1259, -5, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 61*b**3\/6 - 79*b**2 + 5*b + 1. What is the derivative of r(t) wrt t?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (-102)\/5 - 16\/40. Let z(i) = -37*i + 2. Let m be z(-5). What is the greatest common factor of m and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24373 is divided by 1737?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*s - 3*s = -17768, -4*s + 16 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + 0 + 8 - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.123 - -5.123. Let r = -1 + 5. Which is the nearest to 0? (a) -3\/8 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27868 less than -9342862529?\nAnswer: -9342890397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a = -44*a + 15. Calculate the greatest common factor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/13))**(2\/143)*(v*v*v\/(v\/v**(-2\/11)))\/v*(v**(-2\/11)*v)\/v)**(-29) assuming v is positive.\nAnswer: v**(-35177\/1859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7*x. Let g(j) = 2*j**2 - 3*j + 3. Let s be g(2). Solve -s*q + 4*q = x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*a = -5*l - 44, -4*a - 39*l + 251 = -21*l - 13*l for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 7*l**2 - 6*l. Suppose -18 = -0*f - 3*f. Let w be j(f). What is the units digit of ((2 - w)*-2)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9198360, 18396685, 27595010?\n\"Answer: 9198325*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 55.2. What is the smallest value in o, 4, -7.3?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let f be v(3). Let o(r) = -3*r**2 + 2*r + 3 + r**3 - 4 + 0*r**f + 0. What is o(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2033760 and 2007?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(500))**2 + 2 - sqrt(500) - -2*1*sqrt(500)) + 3.\nAnswer: 10*sqrt(5) + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -46795359 bigger than -46795358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -3*s + 3*d, 0 = 13*d - 10*d + 15. Let u(p) = -6*p - 2. Let b be u(-2). Let l = 22 - b. What is the remainder when s is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t - 6. Suppose -t*a = -3*a + 1. What is the lowest common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -1 + 119\/3*r**3 + 0*r - 35*r**2 + 0*r**6 + 0*r**5 + r**7 + 0*r**4. Differentiate s(u) wrt u.\nAnswer: 840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - 60 - (12 + -37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111378134 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: Collect the terms in 20585*m + 64232*m + 41345*m + 22737*m.\nAnswer: 148899*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + (-48)\/6)*-1. Let r(b) = -b**3 + 4*b**2. Calculate r(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188 * 0.3\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -12*w**2 + 170*w + 2849. Calculate u(24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - 4. Calculate the lowest common multiple of (i\/3)\/(1\/(-6)) and (52\/16 + -2)*16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 5*v**2 + 3*v - 3. Let y be b(-4). Solve w = y - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpldeelk. What is prob of picking 1 d and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/12 + 20\/3. Let v be ((-9)\/c)\/((-54)\/8). Let h = -0.4 - -0.5. What is the closest to 1 in h, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-4))\/((24\/15600*25)\/((-2)\/4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -3*s - 43, -4*s - 802222 = 4*l - 802178 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 175 or 183?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2303 and 4559107.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -471120 + 5?\nAnswer: -471113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2729 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4*w - 15, w = 5*s - 0*w + 10. What is the second biggest value in 4, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 55650, 55651, 55652, 55653?\n\"Answer: d + 55649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -f + 216. Let v(x) = x**3 + 8*x**2 - 7*x + 11. Determine v(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, -59, -1, -43, 2, 1, -2 in ascending order.\nAnswer: -73, -59, -43, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1215\/63 - 4\/14. Suppose -5*z + 36 = 3*f, -4*z - 4*f + 13 = -j. Let n(c) = -c**3 + 5*c**2 + 8*c + 4. Let h be n(z). Solve -5*u = h - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 114*h + 23*h + 128*h - 216*h + 78*h. Let q(k) = 32*k. Determine -2*m(f) + 9*q(f).\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0862 - -0.086191932. Round k to 7 decimal places.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(8\/2)*5\/(-100)*-20)\/(-9)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -161*n. Let v(z) = -11*z - 6*z + 19*z. Determine v(x(g)).\nAnswer: -322*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*g = -15, g = 4*h - 0*g - 21. Let y = 28 - 20. Suppose h*u - u = y. Solve 0 = l + 2 + u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -382 - -382.0001046. What is h rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 101. Let d(p) = -p - 7. Determine d(s(c)).\nAnswer: -3*c + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11525, 22742, 33959?\n\"Answer: 11217*h + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/7 (b) 4 (c) -2\/11 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -929769, -1859537, -2789305, -3719073?\nAnswer: -4648841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3676 divide 1787852738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 7. Let b(a) = -6*a + 20. Let d(u) = 6*b(u) - 17*m(u). Suppose 548*j - 557*j = -18. Determine d(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1528397, 3056789, 4585181, 6113573?\n\"Answer: 1528392*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6430 - 4253 - 6119)*(0*g + 0*g - 2*g**3).\nAnswer: 7884*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15438*c**4 + c**2 - 7*c - 150. Let j(b) = -7718*b**4 + b**2 - 3*b - 75. Let t(n) = 2*g(n) - 5*j(n). What is the third derivative of t(y) wrt y?\nAnswer: 185136*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 14*q + 36. Let x be w(-16). Suppose 0 = -x*a + 13 + 39. Solve v = 3*z + a, -15 = z + 2*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 342717565.\nAnswer: -342717564.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*p = 12, -2885 = 3*s - 5*p - 2891 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000110111 (base 2) to base 11.\nAnswer: 8a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 3*j - 5. Let q be c(2). What is the units digit of (-30)\/135 + 2927\/q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46279629 is divided by 1068?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10683492135.9999787 - 10683492632. Let n = -496 - l. Round n to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28371179 and 791611.\nAnswer: -27579568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/28)\/(6120\/4760).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 21*y + 27. What is the hundreds digit of x(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 - -75. Which is the closest to s? (a) -14 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -14*u - 36. Let c = -12443 - -12440. Give i(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 4*y - 28, 144*y + 7 = 145*y + 3*a for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.020011 - 0.02. What is d rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49*-674\nAnswer: -33026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -23*q - 2. Let a = -10 - -5. Is r(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6449157 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/39*(-1)\/2. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 8) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 + 719841142 - 719841142.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(147)\/(-2*sqrt(7)))\/sqrt(3))**2 - (0 + -2 + (2 + sqrt(7) + 2)**2).\nAnswer: -8*sqrt(7) - 77\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10271765 divided by 2054353.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*c = -79*c + 27. Let r(q) = 3*q**2 + 10*q + 24. Let o be r(c). What is the highest common divisor of o and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -7\/3 (c) -2 (d) -7 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**3\/3 - 23*s. Let k(b) = -b. Determine t(k(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -347 + 350. Suppose -d + 0*d = 5*i + 5, 0 = -d - i - 5. What is the nearest to m in d, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.166 * 9.\nAnswer: 10.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 9*h + 58. Let b be v(13). Let s = -1 + 5. Let l = b - s. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 341?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706497 is divided by 1033.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -99 (base 12) to base 9\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 100*w**2 + 412*w - 2244.\nAnswer: 4*(w - 3)*(w + 11)*(w + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2 = 4*k + 7, -9 = -5*c + 2*k. Suppose -2 = -g - 5*m + c, -2*g + 6 = -4*m. Solve 0 = -g*l - 10 - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2*(-3 + 6). Let s be m\/(-4) - 447\/(-4). Suppose -36 = 3*o - s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 + 3*t - 16. Let i(v) = v**3 + v + 6. Calculate a(l) - i(l).\nAnswer: -4*l**3 + 2*l - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + d**2 + d - 1. Let a(l) = -17*l**2 - 16*l**2 - 7*l**3 - 5 + 66*l**2 - 29*l**2 + 6*l. What is -a(t) + 5*p(t)?\nAnswer: 2*t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/11, 2\/17, -2, -1\/2, 0.329?\nAnswer: 0.329","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000111000100111001 (base 2) in base 14?\nAnswer: 7814d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/(69\/(-46)). Let c(v) = -10*v**3 - 2*v - 2. What is the least common multiple of c(r) and 104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r*t*y**3 - 98*r*y**3 - 194*r*y**2 - 150*t*y**3 wrt t?\nAnswer: r*y**3 - 150*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + s**3 - s**4 + 3*s**4)*(-2*s - s + s)*(-3 + 5 + 5).\nAnswer: -28*s**5 - 14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 68*c**3\/3 + 25952*c**2 - 315444*c + 2786056\/3 = 0. What is c?\nAnswer: -1157, 86\/17, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 360\/11? (a) 4 (b) -1\/6 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000006818 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 8:41 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1723085 and 1127?\nAnswer: 39630955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 20*p**2 + 20*p - 13. Let i be m(19). Suppose o + 1900 = i*o - w, -364 = -o - 3*w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and -1.48.\nAnswer: -35.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)*y**5\/y)**(-7\/3)*(y**(1\/35))**4 assuming y is positive.\nAnswer: y**(-4117\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 28*b**2 + 5*b + 3. Let z(l) = -83*l**2 - 14*l - 8. Let d(y) = -8*s(y) - 3*z(y). What is the hundreds digit of d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 44*t = -325*t + 30204540. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5881 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3158*r + 15. Let i(j) = j. What is i(o(f))?\nAnswer: -3158*f + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37.5 + -38. Let s = -0.4 - u. Which is the closest to s? (a) -5\/4 (b) -1\/4 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.26617525 to 2 decimal places.\nAnswer: -1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/7 (b) -1 (c) -1\/4 (d) 1454\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 = -2*n - 51, 4*b - n - 64 = 0. Is -2 - b\/(-12) - (-90135)\/36 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 215, 210, 201, 188, 171, 150?\n\"Answer: -2*t**2 + t + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 3*n - 4. Let t be y(-4). Which is smaller: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41719, -41836, -42031, -42304, -42655, -43084?\n\"Answer: -39*a**2 - 41680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -1. Let n = v - 14.021. Round n to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94873, -94875, -94877, -94879, -94881?\nAnswer: -94883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -27 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(832)*2 + -5 - ((sqrt(832) + 1 + -2 - sqrt(832)) + sqrt(832)) - -6*(sqrt(832) + 1 + 2))*-6)**2.\nAnswer: 169344*sqrt(13) + 4424112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 1349361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1151? (a) 9 (b) -293 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g + 110. Let v be b(-9). Solve v*i - 8*i + 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -5*l**4\/12 - 25*l**3\/6 - 15*l**2 - 1158*l. Find n, given that f(n) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0 (b) -2\/9 (c) 4\/5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*u**2 + 107879079*u + 438049408 wrt u.\nAnswer: -8*u + 107879079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -2 + 9\/(-2). Is -5 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -101111100000?\nAnswer: 101111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3222 and 22.\nAnswer: 35442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -324\/581 + 70\/83. What is the closest to j in 1\/3, 6, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -143837 and 0?\nAnswer: 143837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + 5 - (-5 + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048768928.\nAnswer: 2, 32774029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6263 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 f when four letters picked without replacement from fofcy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25138488 by 146154.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 8*k - 5*k + 5*k. Let r(o) = -2*o + 2*o - 2*o**2. Give h(r(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.028 + -6.972. Which is the smallest value? (a) -1 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*q + 2, -4*z + 12 = 5*q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1522610 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 38*t - 14. Is d(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = -i + 42, 5*i = -5*d + 270. Let k = i + -988\/17. Is 0 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -217*s**3 - 5834*s**2 - 5*s + 75915511 wrt s.\nAnswer: -651*s**2 - 11668*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6341 is divided by 634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 = -2*s + 108. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750\/(-2625)*3\/6*-1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*i - 79*i - 94*i + 73*i - 49*i to w + s*i and give s.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4071534368 - -0.006\nAnswer: -4071534367.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 2}. What is prob of sequence ffj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -n. Suppose -n*j + 12 = -6*j - 5*u, u = 5*j - 18. Let c be 0 + (6\/9)\/(-1). Do c and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 8, s + 4*i = -4699984. Round s to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*p + 164, 4*p - 5*k + 46 = 5*p. What is the greatest common divisor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, j: 9}. What is prob of sequence jnj?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, h: 17}. What is prob of sequence hvh?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -57*t - 1220. Calculate q(-23).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593535?\nAnswer: 5, 47, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.389 - -0.111. Which is the biggest value? (a) -5 (b) 2\/7 (c) -1\/7 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12686896 a multiple of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysy when three letters picked without replacement from {y: 2, s: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6533*h - 3338359. What is l(-511)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -4*l. Let j be (l\/5)\/(1\/(-5)). Is j less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 3*j + 17*j - 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52727659?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/2 + 3*c\/2 - 1 = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 1. Suppose -3*n - 5 - 10 = 0. Let i be (6\/n)\/((-2)\/5). Let r(z) = -2*z - 1. Let d be (-1)\/(2*(-4)\/16) + -3. Give d*r(u) + i*w(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -8098?\nAnswer: 8098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {n: 3, k: 1, w: 1, o: 1, g: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167 or 168?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7720362 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49818820*g**3 - 31454940 wrt g?\nAnswer: 149456460*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - c**2 - 2 + 0 + 0. Let u be g(2). What is the closest to 0 in u, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 669 divide 40290973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -0.1, 1\/4 in decreasing order.\nAnswer: 4, 1\/4, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-30)\/(-165) + 48\/(-22). Solve -40 = -k*s + 10*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10*g. Let t(h) = -92318*h**2. What is t(a(z))?\nAnswer: -9231800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18*h + 1680 = 0. Let x be -3 + (-6)\/4*h\/42. What is the nearest to -5\/3 in -5, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-22)\/(-572))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (5 - (-6 - -5)). Let q(k) = -k - 1. Let p(t) = 3*t + 10. Determine r*p(l) - 6*q(l).\nAnswer: 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 20. Let q = 4 - f. Is (3 + 74\/q)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 330 - 106. What is the greatest common divisor of 32 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1*(-7)\/2). Let v = 11 + -7. Let p = -6 + v. Which is the closest to 1\/5? (a) p (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176683518 by -1.\nAnswer: 176683518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -50*h**2 + 8. Let u be (-1)\/(-2)*2*(11 - 6). Let a(i) = -33*i**2 + 5. Give u*m(g) - 8*a(g).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 9:38 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61518495 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 9*i**6\/80 - 3*i**5\/20 - i**4\/4 + 2*i**3\/3 - 4*i**2 + 6. Let h(y) be the second derivative of g(y). Factor h(c).\nAnswer: (3*c - 2)**2*(3*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**11\/55440 - r**7\/280 - r**4\/3 - 9*r. Let j(z) be the third derivative of l(z). Find the third derivative of j(v) wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21570*351\nAnswer: -7571070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2494*h - 5*b = 2492*h + 347, -3*b = -2*h + 349. Solve 0 = h*z - 167*z - 54 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/28)\/(2\/((5985\/(-60))\/19*4)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 + 117*h + 6*h**2 - 226*h + 109*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -0.0133 (c) 2\/7 (d) -3\/7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 423*q**2 - 845*q**2 + 415*q**2 + 33 to v*q + h*q**2 + c and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*g - 4*p, -3*g - 5*p + 26 + 6 = 0. Calculate the highest common factor of 16 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**4\/4 - b**3\/3 - 3*b**2 + 7*b + 2. Let c(r) = 3 + r**3 - 7*r - 3 + 8 - r**2. Give 6*c(u) - 7*q(u).\nAnswer: -u**3 + u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 16 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((345\/200)\/23)\/((-39)\/(-26)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1024*h**3*t**2 - 60*h**2 + 2*t**2 wrt h.\nAnswer: 6144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220506739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h + 25. Let k be a(-14). Let n = -81 + k. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 4 = 4*x - 12*t, -3 = 4*x - 3*t. Suppose r - 2*g - 31 = x, -6*g + 59 = 4*r - g. Solve -3*z + 0*z - 19 = -5*s, -3*s = -5*z - r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/7 - 34448*g\/7 + 2052480\/7.\nAnswer: 4*(g - 8552)*(g - 60)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 4*j**2 + 2. Let c be v(4). Let r = c + 3. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -1\/5 (c) -1\/4 (d) -107309.3 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-9)\/45*-22?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48.5 + 48.8. Sort 0, c, -81.4.\nAnswer: -81.4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5342881 micrometers in millimeters?\nAnswer: 0.0005342881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*t - 4*u, 4*t - 4*u - 36 = -0. Let z be (((-420)\/t)\/(-3))\/2. Find the second derivative of -z*s + 11*s**2 - 7*s**2 - 7*s wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*u - 6*t - 115, u - 5*t - 2 = 0. Let i = 2 - u. Let p = -17 - i. What is the lowest common multiple of p and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -51 + -21 + 14 + 26 + -16?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12321575 (base 8) to base 12\nAnswer: -ab7225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/(-3))\/((-37)\/(-15318)*18)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 79, 82, 85?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (0\/(-2) - -8). Is -7 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245302 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(1*(-4*sqrt(12) + sqrt(12)))*2 + ((sqrt(16)*4)\/sqrt(8))**2*-2*-2.\nAnswer: -2*sqrt(2)\/3 + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*a - 29 = 5*a, 151 = 5*i - 4*a. What is the highest common divisor of i and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -182 and 304.62.\nAnswer: 122.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/432 and 3\/8?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 + 0.9. Let c = x + -4.3. Sort 4, -2\/9, c.\nAnswer: c, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 11 = -9*o. Let x(f) = 2*f**2 - 13*f - 13. List the prime factors of x(o).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1705 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*i - 4*l, 8 = i - 3*l - 7. Let a be (4\/(-6))\/(-1)*i. Suppose 0 = -5*k - 20, -3*x + 2*k = -a*k - 31. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 589252 divided by 3593\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/25)\/(3\/(-170)). Let b = -65 - n. What is the remainder when 730\/12 + b\/18 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/9 and (4\/(-14))\/((-8)\/742).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -1041451\nAnswer: 10\/1041451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/6)\/(10\/(-15)). Is 17 + (-1 - t - 0) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1 + 0*w + 57 + 4*w - 2*w. Let q(l) = 99*l + 779. Let f be q(-8). What is the lowest common multiple of b(f) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61645 and 1525.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0 (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.86 - -131.14. Let b = -131.956 + k. What is the third biggest value in 3, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021220 (base 3) to base 7.\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9.76 - -6.03\nAnswer: -3.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s. Let u be z(-1). Suppose -3*g + 14 = -2*j, u*g - 4*g = 5*j + 35. Let t(f) = -f - 6. Let q be t(j). Solve 3*m = 2*m - q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(32) - sqrt(32))**2*-2*3 + 0.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9300 rounded to the nearest one hundred?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3095, -2730, -2377, -2042, -1731, -1450, -1205, -1002?\n\"Answer: -q**3 + 372*q - 3466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30347519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 m when three letters picked without replacement from {h: 5, b: 2, m: 8, y: 1, v: 2}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -36 + 61. Suppose -4*r = -5*g - 402, -5*r - m*g = -0*r - 525. What are the prime factors of r?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 18*l**2 - 2706*l + 10824. Let f be w(4). Solve -f + 27 = -29*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {d: 3, p: 1, y: 3, r: 2, f: 3, w: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + q**3 - 13*q**2 + 2*q**2 - q**2.\nAnswer: q**3 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -6*k - 2*z, 73192 - 73189 = 3*k - 3*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-1) - -2)\/(-2). Suppose -f*s + 10 = -0*s. Let i(t) = s + 2 - 6*t - t**2 - t. Give i(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1438612)\/(-56) - (-1)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (542\/(-180) - (13 - (-387)\/(-30))) + 0\/1.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -1\/4, 47, -2596.6 in decreasing order.\nAnswer: 47, -1\/4, -42, -2596.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -0.02.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 28*l**2 + 56*l + 4. What are the prime factors of q(26)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y + 1. Give a(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 385 - 393. Sort 13, h, 0 in increasing order.\nAnswer: h, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -422 - -676. Let j = b + 114. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 7.8897 and 587.2.\nAnswer: 4632.83184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32706228?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-12)*(-7546)\/(-343)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 25 = -7*h, -396 = p - 3*h. Let l = 815 + -1359. Let z = p - l. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164 + 169. Suppose -s + 2*s - 3*j = 19, 3 = -3*j. Let g be 204\/s + (-2)\/(-8). Solve 5*o - u*x = 30, -g - 7 = -3*o + 4*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)*m)**(5\/6)\/(((m*(m*m\/m**(-2\/9)*m)\/m*m)\/m)\/m**(-3\/7)) assuming m is positive.\nAnswer: m**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -810326*k**2 - 582 - 9*k + 569 + 6289810*k**2. Let i be x(-5). Let f = i + -71287132. Round f to the nearest one million.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00205508 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r + 198. Determine f(28).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10816?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 844772236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 125616636 a multiple of 2844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1845348, 1845349, 1845350?\n\"Answer: c + 1845347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/6*9\/(-24)*240328\/(-30041).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*143.\nAnswer: -2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -347d?\nAnswer: -3484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j = 102*j - 63765. What are the prime factors of j?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -659.535*-7.\nAnswer: 4616.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6 = 2*t. Let d be 12912\/5918 + 136\/(-22). Put 6, d, -3, t in decreasing order.\nAnswer: 6, t, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbppwwbb. Give prob of picking 2 w and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32, 36, 52, 86, 144, 232, 356, 522?\n\"Answer: q**3 - 3*q + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*p + 1. Let m(b) be the third derivative of b**4\/24 - b**3\/6 - 5*b**2. Let q(j) = -6*j - j**3 + 6 + 3*j**3 + 0*j**3. What is p*q(f) - 6*m(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, -521, -1420, -2679, -4298?\n\"Answer: -180*d**2 + d + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:47 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 5, -69 in descending order.\nAnswer: 5, -1, -3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 4*w**2 + 12*w + 10. Determine s(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7410401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-2)*(-8)\/(-6). Let y(f) = -3*f**2 + 30*f + 12. Calculate the remainder when (6\/5)\/(3\/50) is divided by y(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -13) + (45 - 70)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2, -2*m + 4*v + 94 = m. Let k be (-21)\/3*((-48)\/28)\/2. Find the second derivative of k*r - 1453*r**4 + 1504*r**4 + m*r wrt r.\nAnswer: 612*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:45 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 518876238.\nAnswer: 518876241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -28*g**3 - 6*g**2 - 32. Let q(v) = 57*v**3 + 11*v**2 + 64. Let u(f) = -6*q(f) - 11*x(f). Differentiate u(w) with respect to w.\nAnswer: -102*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3121 at least as big as 21856\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2777*b**4 - 15973*b - 1?\nAnswer: -33324*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/8, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Let m be k - (6 + -2 + -4). Suppose 2*f + 5*g = 121, -f - m*f - 5*g = -295. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-9) + 132\/(-297).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 515*m - 9 - 39*m - 154*m - 166*m to the form p*m + i and give p.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -855319 smaller than -855319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 420377667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101506933769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 0*q + 4 = -61764*c + 61774*c, -2*c - 2*q + 20 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 283857.5 litres?\nAnswer: 283857500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/5 (b) 16\/13 (c) 320\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 46*u + 33. Calculate the remainder when g(2) is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1219 + 2447 - 1228 - 72*z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*-1 + 4 + 2 + sqrt(363)*3)**2.\nAnswer: 264*sqrt(3) + 1488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, m: 2, y: 1}. What is prob of picking 2 m and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*i - 46*i + 23*i - 74 to the form u + p*i and give u.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 4) to base 9\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yygkyyktmgk. Give prob of picking 2 k and 1 y.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-3 + 3 - (sqrt(3)*4 + -3))**2.\nAnswer: -84*sqrt(3) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -117\/175 (c) 0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 211842 and 34266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2138 by -2.\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 30623589467.\nAnswer: -30623589471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7047557 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: Calculate 33 - (-12 + 4 - -7 - 5 - 6).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -122, -123, -124, -125, -126?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171285 is divided by 1748.\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 290371 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 14. Suppose p + 2*f = 4*p + 39, -5*p + f - 58 = 0. Let c be t(p). What is the units digit of (c*1)\/((-30)\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 2866. Let g(j) = 12*j**2. Determine g(m(z)).\nAnswer: 48*z**2 - 137568*z + 98567472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26922795.\nAnswer: 3, 5, 617, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) + sqrt(95) + 1*sqrt(95))*-1)*5)\/(sqrt(720)*2*6).\nAnswer: -5*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*f**3*g*t**3 - f**3*g*t - 2*f**3*t + 911*f**3 - 3*f*g*t**2 - 41*f*t**2 - 1225*g*t**3 - t**3 wrt t.\nAnswer: -72*f**3*g - 7350*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*t - 654*t + 80*t - 58*t to q*t + n and give q.\nAnswer: -749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + 8*n + 8. Let l(y) = -2*y - 2. Determine -6*l(a) - t(a).\nAnswer: -3*a**2 + 4*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, u: 5, w: 2, n: 2, p: 4}. Give prob of picking 1 n, 1 p, and 2 w.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**1\/i)\/i)*i)**(-5) assuming i is positive.\nAnswer: i**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 13. Suppose 0 = -0*l + l + 4*n - 21, -i*n = -5*l + 39. Let g = -4 + l. Calculate the remainder when 17 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(91) + sqrt(91))*-5 + sqrt(91))\/((sqrt(84) - (sqrt(84)*1 + sqrt(84)))\/sqrt(12)) + 4.\nAnswer: -sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(29\/2)\/x)*x\/(x*x**(3\/11)*x)*x**(1\/10)\/x**(-35))**(-2\/39) assuming x is positive.\nAnswer: x**(-782\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -14. Suppose 4*k = -0*k - 4. Are h and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9bbe (base 16) to base 7\nAnswer: -224145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 202.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. What is the units digit of 43*-1*g\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, a: 6, q: 2, v: 2, z: 1}. What is prob of picking 1 v and 1 q?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 20 = 28. Let x(z) = -z - 1. Let i be x(-13). Let k be i\/p + 9\/(-12). Solve k = -2*l - 0*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -289 - 3626*z + 1043 + 111 wrt z.\nAnswer: -3626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/(((-189)\/(-36))\/21)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8548*j**4 + 2*j**3 + j + 160824 wrt j?\nAnswer: 34192*j**3 + 6*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**6\/160 + c**5\/20 + c**4\/8 + c**3\/3 + 28*c**2 - 12*c. Let z(h) be the second derivative of u(h). Factor z(d).\nAnswer: 3*(d + 2)*(3*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, 5, 7, 16\/7, -5\/3, 30, -0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 2*i**2 - 4*i - 11. Let l be o(-5). Let f = -77 + l. Solve 2*y + f = 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317785 a multiple of 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 154753243*p**3 - 1272440*p**2 - p + 12 wrt p.\nAnswer: 928519458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 11. Give o(15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -2. Suppose 3*s + x - 5116 = -14911, x = j. Let c = -32687\/10 - s. Calculate the common denominator of c and 35\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 735071.3l?\nAnswer: 735071300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q - 2. Let l be a(0). Sort l, 4, -4 in decreasing order.\nAnswer: 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 3\/8, -4, 0.286197 in ascending order.\nAnswer: -4, 0.286197, 3\/8, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3769 (base 10) to base 13\nAnswer: -193c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46824.\nAnswer: 2, 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 + 96375*v + 578062. Determine d(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-267 + 267 - 7*c)*(3 - 1 - 1)*(25*c - 25*c + c**2) to the form z*c**2 + i*c + d*c**3 + t and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 50*q**2 - 892*q - 53. Give c(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101*n**5*t**3 + n**5*t**2 + 82*n**2*t**2 + t**3 wrt n.\nAnswer: 6060*n**2*t**3 + 60*n**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 645 or 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 16 = 4*n, -4 = 64*i - 66*i - n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 12*a - 13. Let d be g(4). Let j be (-3*(-6)\/27)\/((-17)\/d). Put -5\/3, 31, j in decreasing order.\nAnswer: 31, j, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*z - 76 = -20, -2*b + 32 = z. List the prime factors of (-15)\/2*(-24)\/b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 1744127208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 3613539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 118 + 92. What is the highest common divisor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3359850?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/3)\/(9 - (-4816)\/(-540)) - -8. Which is the closest to -113? (a) 3\/5 (b) y (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 3:03 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*u**2 + 432*u**2 - 863*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/37818 and 76\/15.\nAnswer: 189090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 3 - -4)\/(3\/199). Let d = a + -60. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - k. Suppose 2*t - 7 + 3 = k. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 8:02 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 13*w + 2. Let x(s) = -9*s - 1. Let k(f) = -5*h(f) - 7*x(f). Let z(u) = u + 2. Let i be (1 - (-4)\/(-2))*5. Let a = 3 + i. Determine a*k(g) - 3*z(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65925464 is divided by 5604.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 187 - 752179.\nAnswer: -751992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 9*z - 102. Let l = z + -276. Let u = 1310 + l. What is u rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667659001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.21333 and 4.1.\nAnswer: -13.174653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1483 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 693880*y**3 - 520357*y**2 wrt y?\nAnswer: 4163280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19)\/20 + (-4 - -5). Is t != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 12:19 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 67*i - 602. Let x be f(9). Which is greater: x or 0.122?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 500 + 503 - 1003.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*b - 2285 - 3782 + 47 = 0 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*z + 4*b - 5*b, 15 = -5*b. Solve -z*k = -k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3895 - -3890.689. Let u = o + 4.3. Round u to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**5\/60 - 2*g**2. Let x(f) be the second derivative of -5*f**4\/12 - 6*f. Give x(j(v)).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -287 + 293. Let u be -1 - (-2 + -1 + 4). Let c = 0 - u. Solve 3*f = -g, -3 = 2*k + c*f - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56800?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*g, 4*u - 4*g + 8*g = 4. Let m = 135 - 88. Suppose 0 = -3*f - k + m, 4*k = -2 - 2. What is the smallest common multiple of f and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 9 - -1 - -47) + 23.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 - 95. Suppose -5*h = 5*v - 30, -5*h + 21 = -0*v + 2*v. Suppose 5*l = w + 3 - 33, -w = -h*l - 20. Which is the nearest to l? (a) -2\/7 (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17)\/(-19) + (1 - 2). Let r = -2485 + 2489. What is the second biggest value in r, b, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 10:58 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-30)*(-2)\/(46\/69).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49910 divided by 11027.\nAnswer: -49910\/11027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-1))\/((-15)\/40). Let j = -3 - u. Let z(d) = d**2 - 4*d + 4. List the prime factors of z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - 2. Let s = -0.4 - n. Let x(i) = -2*i**3 + 6*i**2 + 12*i - 17. Let z be x(4). Which is the closest to z? (a) -0.1 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 8. Suppose 3*i + 15 = 4*q - 8, 2*i - d = -2*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-21) + (-6)\/(-21). Let f = 2.11 - 6.11. Sort 0.2, f, x in descending order.\nAnswer: x, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 3*r - 3. Let u be o(-1). Let j be (u + (-8)\/(-6))*0. Let k(x) = 6*x + j*x - 3*x + 0*x. Let g(i) = -3*i**2. Calculate k(g(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-11)*h*h*h*h)**(-11\/2)\/(h**(-1\/30)\/h**(-1\/38)))**(-4\/15) assuming h is positive.\nAnswer: h**(-37628\/4275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 + 10)*(3*m - 4*m - 3*m) + (-1 - 3 + 2)*((-3 + 4 + 0)*(-2*m + 0*m + 0*m) - 3*m + 3*m - 2*m).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*w + 33, 0 = -5*l + 3*l - 3*w + 27. Let p = l + -16. Let m = p + 12. Sort 0, -5, m in descending order.\nAnswer: m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 8, 2\/19, 4, -0.0065, 22, -3\/7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6257, -12483, -18711, -24941, -31173, -37407, -43643?\nAnswer: -49881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6525595 is divided by 543795?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + v**2 + v - 2*v**2 + (-v + 2*v - 2*v)*(-v + 7 - 8 + 7*v) + (1 - 7 + 4)*(-v**2 + v**2 - 2*v**2) + v**2 + 8*v**2 - v**2.\nAnswer: 5*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -282? (a) -2\/11 (b) 1.8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 18, 14 in increasing order.\nAnswer: -13, 14, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1904\/(-170)*2*(-15)\/(-24)*-6.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/17, 4\/13, 3\/4, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101*g**4 - 641*g + 97*g**4 + 213*g**5 - 35*g wrt g?\nAnswer: 4260*g**3 - 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68140 or 2998191\/44?\nAnswer: 2998191\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 16. Suppose -2*u + 35 = x*d, 4*d = d + 5*u + 7. Suppose 11 + 4 = 4*a - y, 9 = -3*y. What is the smallest common multiple of d and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -4*x - 15*b + 1379393, -3*x - 4*b = -1034535. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3320, 6663, 10032, 13439, 16896, 20415?\n\"Answer: 2*p**3 + p**2 + 3326*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0*b**2 - 6*b**2 - 3 - 947*b - 167*b + 1114*b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 35*f + 30.\nAnswer: 5*(f - 6)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 512, 770, 1184, 1754, 2480, 3362, 4400?\n\"Answer: 78*m**2 + 24*m + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-24 + 3 - -30)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-64.\nAnswer: -25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 6*h**2 + 194*h - 580. Let s be m(3). Let g = -1 - -3. Suppose 2*t = g + 10. Solve -t = s*d + d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26.484 from 227.9.\nAnswer: 201.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73153 and 764.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 41. Is -5 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1191.9414 to the nearest ten.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 670*x - 92821. What is p(-320)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -5*g**3\/6 + 15*g**2 - g. Let c be l(5). Suppose -5*p + 782 = 3*h, c*p + 445 - 1195 = 5*h. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1161*t**2 + 9*t + 86185.\nAnswer: -2322*t + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**5 - 1409440*s**4 + 94409000*s**3 + 291683690*s**2 + 294502595*s + 98637350 = 0.\nAnswer: -1, 70, 281821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1456 = -7*l + 9212. Suppose 1528*c - 480 = l*c. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148122 and 4914?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1*u*u*u)**(3\/4))**(2\/41) assuming u is positive.\nAnswer: u**(15\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2943 (b) 0.4 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77713*h**2 + 157469*h**2 - 79756*h**2 + 25*h**3.\nAnswer: 25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.9 + -3.838. Let h = -0.0835 + z. Round h to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330, -653, -994, -1359, -1754, -2185?\nAnswer: -2658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35621366?\nAnswer: 2, 11, 1619153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*b + o, 2*b + 7*o + 1 = 6*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9536.5 - 8593. What is o rounded to the nearest 10?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12018379 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/i**(-1\/3))))**48 assuming i is positive.\nAnswer: i**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -26*w**2 + 8*w + 35. Let d be c(-4). Which is smaller: d or -416?\nAnswer: -416","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umxum. What is prob of sequence mxmx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1026\/(-10659)*(-1210)\/165.\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 142?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 7) in base 12?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27905 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 109*f - 99*f. Let j(a) = 14405 - 3*a - 14405 + 7*a**f. Let w(z) = 3*z**2 - z. Suppose -6*g + g = -45. Give g*w(k) - 4*j(k).\nAnswer: -k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -16 - (-1 + 2)*(-35 + 36).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*z + 27. Let d be 2\/z - (-80)\/36. Let v(m) = m - 4. Let j be v(5). Solve -d*y = j + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 - (-101 + 97 + -47)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*q**2*r**3 - 3*q**2*r - 3*q**2 + 5807*q*r**4 - 6*q*r**2 + 37*r**3 + 42*r**2 - 28 wrt r.\nAnswer: -24*q**2 + 139368*q*r + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 16) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 j, and 2 u when four letters picked without replacement from djwsuud.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l - 25 = -22*l. Which is the second biggest value? (a) -3 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1389902 - -94?\nAnswer: -1389808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((3\/(-30)*2)\/1). Let i(s) = -8*s - 2. Let a be i(-2). Let m = a + r. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h**2 + 5*h. Let c = 1051 - 1046. Let n(i) = 13*i**2 + 12*i + 4. Let y(t) = 25*t**2 + 22*t + 7. Let q(p) = -7*n(p) + 4*y(p). Give c*q(k) - 4*w(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.175, 2.1, -1\/4, -2\/9?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*l + 21, 5*w - 8*l + 4*l + 42 = 0. List the prime factors of ((2 - -1) + w)*-6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11462 (base 7) in base 2?\nAnswer: -101110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.01318*0.5\nAnswer: 0.00659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 11390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1084 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -b + 2*q, 0 = -b + 2*q + 2*q + 20. Suppose y = 8 + b. Suppose 0 = 2*h - 2 - y. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 6*q + 2*q)*(-138*q + 59*q - 101*q)*(-1 - 5 + 4).\nAnswer: -720*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -11. Sort 5, -1, c in increasing order.\nAnswer: -1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - 52. Calculate the lowest common multiple of 57 and f.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11120421*i**3*x**2 - 17188*i**2 - 142*i*x**2 wrt i.\nAnswer: -66722526*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 4*d + 3. Let y be o(4). Suppose g = 4*g - y. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11249017 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 38. Suppose k - r = -4*k. Calculate the remainder when 33 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 4:36 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 175584?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-75)\/175 - (-2)\/(-4)*0. Let a = -1.5 - -0.7. Let h = 0.85 + a. Put -4\/3, h, 4, f in descending order.\nAnswer: 4, h, f, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1766 and 113\/348.\nAnswer: 307284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5296.78998 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1126388?\nAnswer: 2, 379, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*q - 1447 + 901 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 9 = 4*p - f, -4*f = p + 18. Let j(u) = u**3 - u**2 - 4. Let c be j(3). Let y(l) = 7 + 7 + l - c. What is y(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(210)\/((sqrt(35)*-1)\/sqrt(7)))\/(-5*(sqrt(54) + sqrt(6))*4) + -3))**2.\nAnswer: -15*sqrt(7)\/8 + 57607\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 110*j**2 + 201*j + 562. Determine y(53).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y - 4. Let x be i(2). Let p = 2 + 3. Solve p*l - x = -3*q - 4, q - l = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 18373?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-3 - -26) + -20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1502*d + 13574. Give g(9).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 116.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 14 = -3*k, -26 = 3*k - 6*k + 4*n. Suppose 3*t = 3*a - 6, -4*a + 3*t = k*t - 14. What is the least common multiple of 1 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3745*o**5 + 1026*o wrt o.\nAnswer: -74900*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 808*m - 1621*m + 775*m.\nAnswer: -38*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from rfqjufh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8377 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.34, -0.7, 3\/2, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/105)\/(1936\/1210*5\/14)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -28 - 2 - -33.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1194.6 - 1194.7. Which is the smallest value? (a) 0.2 (b) s (c) -56 (d) -0.2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399827 is divided by 1427?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (227 - 779*k**2 + 3569*k**2 - 227 + 2258*k**2)*(k**2 + 2*k - 2*k).\nAnswer: 5048*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u - 3*u)*(-91 - 49 + 71).\nAnswer: 69*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133557333 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/4)\/5)\/(5\/(-16)*(-7500)\/46875).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 f when four letters picked without replacement from {f: 4, b: 1, s: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from vkcukvcvkvckkcck?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-13 - -1))*7. Let g = -19 - d. 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 18499127?\nAnswer: 18499127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 - 7*w + 20016*w**2 - 19225*w**2.\nAnswer: 791*w**2 - 7*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 404645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 368154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -36. Suppose i*u - 5444 = 6*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 9*y + 19. Let h be i(0). Which is smaller: 26 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -242, -250, -256?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-260)\/(-150))*(-200)\/(-125).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 8. Let s be r(-3). Solve s = b - 0*b, 3*b = 3*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 3*w**2 - 7*w + 19. Let g be f(-6). Let v = 34.2 + -34. Sort 0.5, g, v.\nAnswer: g, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 161611378 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 4*w + 43. Let k be 30 + -1 - (3 + 4). What are the prime factors of u(k)?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnie when four letters picked without replacement from {x: 7, e: 1, i: 1, n: 5, t: 5}.\nAnswer: 35\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606590.4 millennia to centuries.\nAnswer: 6065904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*3)**2*2*4.\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 2. Let o be r(0). Let v(f) = -2*f**2 - 11*f - 17. Let d be v(o). Let k(u) = -u + 4. Determine k(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 208483911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 7*k**7\/3 - k**3\/2 + 2*k**2 - k - 1. What is the second derivative of y(o) wrt o?\nAnswer: 1960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8405858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48.1003 - 48.1. Round d to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 92*h**2 - 109*h**2 - h + 18*h - 10*h - 5*h in the form d*h + q + k*h**2 and give k.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -807 - -854. What is the lowest common multiple of 5 and g?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 322624, -3, -44.\nAnswer: -44, -3, 1, 322624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -70, -85?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792069?\nAnswer: 3, 83, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*h = 4145, -5*i + 330*h = 329*h - 5232. Does 55 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8471475919.\nAnswer: 8471475919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 6*b + 5. Let u = 11843 + -1125017\/95. Let n = u + -297\/38. Find the common denominator of n and z(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**3 - 12*f**2 + f - 16. Let u(v) = -3*v**3 - 11*v**2 - 15. Let z(o) = 3*u(o) - 2*x(o). Let t be z(-9). Sort t, 6, 2, 4 in ascending order.\nAnswer: 2, 4, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-20) - ((-711)\/90 - -5). Put 2.96, m, -2 in descending order.\nAnswer: m, 2.96, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58861 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*w + 2*w**2 - 36*w - 26*w)*(15*w - 14 - 14*w - 16) + (-5*w**2 + 3*w**2 + w**2)*(-w + 2*w - 3*w).\nAnswer: 4*w**3 - 83*w**2 + 690*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*f + 4*s, f + s = 5*s + 1. Which is bigger: f or 1\/904?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1, -3, -689, -165.\nAnswer: -689, -165, -3, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trmsmhmhehhmh. What is prob of sequence rst?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 5:24 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*y - 92 = 158*y. Suppose 27 = 49*j - y*j. Let d(r) = 11*r + 21. What are the prime factors of d(j)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l*l\/(l\/(l*l\/(l\/(l**(-2\/7)\/l)*l)))*l*l*l**(-1))**(36\/5)*((l\/(l**(3\/4)*l))\/(l\/l**(1\/3)))**(-2\/7) assuming l is positive.\nAnswer: l**(5701\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -399, -1473, -3569, -7029, -12195, -19409?\n\"Answer: -57*u**3 + 2*u**2 - u + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1\/6 (b) -1\/3 (c) 56 (d) 65.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-18)))\/(l\/l**(-4\/7))*(l\/(l\/l**(1\/2)))**(3\/32) assuming l is positive.\nAnswer: l**(7381\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979453?\nAnswer: 821, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -971 and 7342?\nAnswer: 8313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**5\/60 + 31*w**4\/24 + 315*w**2. Is a(21) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*(((h*h**(2\/9))\/h)\/h)\/h)\/h**(-10))\/(h**(-2\/7)\/h*h**(-11)) assuming h is positive.\nAnswer: h**(1481\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/7, 18, -0.3, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l = 17*l - 9. Which is smaller: l or 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -3, -4, 34, 2 in decreasing order.\nAnswer: 34, 5, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150 + 256*u + 153*u + 150)*(-1 - 2*u**2 + 1).\nAnswer: -818*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**2 - v**5 - 18 + 23*v + 9 + 10 wrt v.\nAnswer: -20*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 157*r**2 - 6495*r - 39. Calculate x(-34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 (base 7) in base 8?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b02 + 3?\nAnswer: -aee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from {w: 1, x: 11}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-27) - 6448\/6696. Which is the nearest to d? (a) -1 (b) 2 (c) -244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let w = -4786 + 4861. Calculate the highest common divisor of y and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 + 7*z**3 + 13 - 8*z**3 wrt z?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 250\/15*24\/10. Let w = -28 + o. Suppose w*l - 338 = 118. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/4*4\/1. Suppose -2*v + 4*v + 12 = x, -2*v = -3*x + 8. Let m = v + 9. Solve m - k = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 + -3.22. Let t = k - -3. Which is the closest to -1\/3? (a) -2 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-15))\/(-2)*-2. Let n be (-2)\/6*(-38 + 2 + 3). Suppose n - 35 = 4*h. Which is the third smallest value? (a) l (b) h (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**3\/2 + w**2\/2 - 2*w. Let z be b(1). Which is smaller: -4\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 675 = 4*v + 270*p - 972, -v - 5*p = 22 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 32*d + 3*d**2 + 67*d - 28*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -85\/3. Let j = -6.3 - -6. Which is the closest to s? (a) 1 (b) -4\/9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174*i - 25 + 373 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 19546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -29965.97 rounded to the nearest 10?\nAnswer: -29970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 43*z = -34*z + 284, z + 24 = -23*o + 25*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (42\/(-28))\/((-72)\/(2 - -6)). Put -1, p, -5\/6, -5\/3 in decreasing order.\nAnswer: p, -5\/6, -1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*g + 16 = -5*l, 4*l - 3*g = -10. Let c be 21\/(-6)*(1 - -1). Let d = l - c. Solve 5 + 10 = -d*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181303348400 to the nearest one million.\nAnswer: 181303000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p - 6 = 0. Suppose 6*w = 7*w + 1. What is the remainder when w\/2*0 + 6 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 14) to base 16.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12840 + 12848. Let j(k) = -2*k**2 - k + 12. Determine j(a).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8373068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33394550 rounded to the nearest 100000?\nAnswer: 33400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2964613.\nAnswer: -1\/2964613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, 0.3, 0.129, -0.4, 10\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*i + 90, 5*i - i + 5*h - 120 = 0. Suppose 3*g = -3*l + 30, -2*g - i = -3*l + 2*g. Calculate the lowest common multiple of l and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 2*g**2 + 3*g + 3. Let k be l(3). Suppose 0*s - 4*o - 220 = -4*s, -5*s = k*o - 299. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185192 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-303)\/(-12) - (-3)\/(-12). Let h = -19 + g. Suppose -3*d - 12000008 = -2*i, -4*d + i - 15999980 = h*i. What is d rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-88)\/6)\/(((-133)\/(-84))\/(-19)). Is -202 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17040 - 31550?\nAnswer: -14510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*y - 1244 + 4740 = 35*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 2*q + 4. Suppose -5*s - 13 = 2. Let i be z(s). Let a = i + 0. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2984*x**2 - 2976*x**2 + 5966*x**2. Let b(g) = -4*g - 5. Let n(r) = -2*r - 2. Let k(z) = -2*b(z) + 5*n(z). Calculate k(m(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11469 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 376 + -376.00193. Round z to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 11:35 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 576311 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + f + 12 + 0*f + f - 2*f + 0 + 0 - f - f + 2 - 2 + (-1 + 2 + 0)*(-1 + 1 - f) - 30*f - 6*f + 4*f)*(3 + 0 - 1).\nAnswer: -70*f","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13830 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**2 - 2*u + 2. Let q be n(-3). Let g = 56 + q. Suppose 9*j + 22 = g*j. Calculate the highest common factor of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -94. Let h(o) = o**2 + 12*o + 32. Let u be h(n). Solve 0 = 4*t + t + z + 28, -2*t = -5*z - u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -301213413?\nAnswer: 301213414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52456292 times -4?\nAnswer: -209825168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1593 - -1738. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/5*(-1)\/(-2). Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 31, 0, -18.\nAnswer: -18, -2, 0, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (2*(2 + -3 + sqrt(1008) + sqrt(1008)) - -3*(sqrt(1008) + -4 + 5))**2.\nAnswer: 168*sqrt(7) + 49388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 167 - 27 - 51 + 162 + 0*s to the form w*s + t and give t.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2\/125 of a kilometer?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -5*h**8\/336 + 11*h**4\/24 - 5*h**2. Find the second derivative of c(m) wrt m.\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f**2 - 89 + 89.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 107847479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 - -14 - (0\/1 + -1). Suppose 5*x - 316 = 3*c, 0 = 3*x + m*c - c - 201. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122558, -490173, -1102892, -1960739, -3063738, -4411913?\nAnswer: -6005288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -412355 (base 8) to base 15\nAnswer: -2a654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcqryyyzddrq. What is prob of picking 2 d and 1 r?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = -6. What is the derivative of -15*v**3 + 5*v**2 - 5*v**z - 1 + v**3 wrt v?\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21151615.\nAnswer: 5, 1987, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.93 + 30. Let p = -86 + 74. Is l not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuhwawuweauuea. Give prob of sequence uueu.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 1380852.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2158348454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 33 - 15 = 0. Calculate the common denominator of 15\/(-2) - 2\/2 and ((-12)\/j)\/(11\/(-56)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0142*0.5\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1111101?\nAnswer: -10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:01 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/1036 + 46103\/1036. Find the common denominator of y and (0 + -7)\/((-9)\/(-5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or 73?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**4\/4 - 304*v**3\/3 + 755*v**2\/2 - 244. Find the second derivative of f(k) wrt k.\nAnswer: -6*k - 608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172316527 or -172316523?\nAnswer: -172316527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-12))\/((-1)\/54). Suppose 11 = d - l. What is the highest common factor of 29 and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25001 (base 8) in base 3?\nAnswer: 112202021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) 2 (c) -1\/3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146 + 52. Let n = k - 79. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086297 is divided by 362095?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2. Let h(y) be the first derivative of -32*y**3\/3 + 15. Give k(h(j)).\nAnswer: 1024*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28709.\nAnswer: 19, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -711*s + 4528. Give n(5).\nAnswer: 973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137 - 95. Let i = n + -47. Let j(v) = -9*v**3 - 2*v**2 - 7*v - 11. Is j(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 + -1. Let l = -168 - -167. Is l less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -778c3e (base 15) in base 6?\nAnswer: -322055435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*i + 2211258 = 2215270 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 29 = -2*d + 3*d, -2*d - 3*y + 57 = 0. Let p = 10 + -4. Suppose 6*c = p + 6. Solve 5*z = -d + c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 33. Suppose -2*i = 3*i - j. Suppose 0 = 2*t - 2*o - 24, -2*t + 28 = 2*t + o. Solve 4*f + i*y = t, -3*y = 4*f - 6*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87881927282*j**2\/15 + 838484*j\/15 - 2\/15.\nAnswer: -2*(209621*j - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7 - c + 4*c + 0*c + 5. Let w be l(-3). Solve s = w + 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t = 14. Calculate the remainder when 41 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5*v - 28 = 0, 0 = 471*f - 473*f + 5*v + 31 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7049, 7054, 7071, 7106, 7165, 7254?\nAnswer: 7379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 1. Let b(t) = -1. Suppose -2*d - 2*d + 8 = 0. Give d*b(j) - p(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-25))\/(42\/(-105))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(-1*sqrt(147) - sqrt(147)) - sqrt(147)) + (sqrt(147) + -4*(sqrt(147) + -1) + sqrt(147))**2.\nAnswer: -133*sqrt(3) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, v: 4, j: 6}. What is prob of sequence qqv?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1073a (base 11) to base 3\nAnswer: 210022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u - 167. Let c be i(17). Let x = c - -10. Let h(v) = 7*v - 2. Let a(f) = f - 1. Let s(p) = 2*a(p) - h(p). Let t(q) = -5*q. What is x*s(y) + 5*t(y)?\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 12:46 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -22. Suppose 0 = -4*b + x + 13. Solve b = f + 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.9 in -1\/14, 2\/5, 0.25, -0.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 7*n + 7*n + (2*n - 2*n - 7*n**2)*(3 - 1 + 0))*(-5 + 2 + 2)*(-4 + 0 + 3).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 - -209. Let r = -92 + z. Solve 3 = -r*p - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, g: 3, q: 2, v: 9}. Give prob of picking 1 v and 1 q.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 11:51 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1))**28*(g*g*g**6)\/g*g*g**(3\/5))**22 assuming g is positive.\nAnswer: g**(946\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 60 = 9*x, -4840*x - 2*o + 5 = -4839*x - 8 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184 + -184.08. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-3) - (4 + (-230)\/15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - y + 4)*(3 - 4 + 2) - 2*y - y + 2*y + 318*y - 166*y - 206*y.\nAnswer: -56*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**5\/60 + r**4\/4 - r**3\/6 + 2*r**2. Let s be x(-6). What are the prime factors of s\/(-1) - (2 + -12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 45010 = 4*c, 0 = -442*c + 440*c + 10. What is the thousands digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -667.9455 - -668. What is c rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20133 rounded to three dps?\nAnswer: -0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1, 0, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19961755679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 38769000 to the nearest 100000.\nAnswer: 38800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 10*m**2 + 8*m - 33. Let i be r(-9). Let l be i\/(-32)*-2*4\/33. Is l > -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*h**4 - 5*h**2 - 2*h**2 + 1 + 1587*h - 1590*h)*(-3 + 7 - 3) to the form i*h**4 + w + p*h**3 + g*h**2 + z*h and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100956552 rounded to the nearest 1000000?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + 58*k - 10. Let p be h(-19). Let b = -27 - p. Let z(o) = o**2 - 1. Let y(q) = 3*q**2 - q. What is b*z(l) - y(l)?\nAnswer: -l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222*d**4 + 64*d - 2*d**2 + 0*d**2 - 65*d - 4 - 3*d**3 + 4 to the form w*d**2 + k*d**3 + c*d**4 + f*d + j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20399, -23451, -28537, -35657, -44811, -55999, -69221?\nAnswer: -84477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 45*l**2 - l. Let n be g(1). Suppose 3*v - 74 = 154. Let u = v - n. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 10:30 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69 + 3?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30039 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(11)) - (3 + sqrt(11)*-1).\nAnswer: -5*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(1\/2)*f)\/f)**(-1)\/(f\/f**(-2\/3))**(46\/7))\/(f*f**(-2\/7)\/f*f**2*(f**(-2\/7)*f)**(9\/4)) assuming f is positive.\nAnswer: f**(-1325\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 5, 0.3, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 168*h - 172*h + 3, -2*t + 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(7260) - sqrt(7260))\/(sqrt(300) + 2*sqrt(300)) - (-2*sqrt(500) + 3 + sqrt(500))*-1)**2.\nAnswer: -278*sqrt(5)\/5 + 19726\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(3\/21 + 0). Suppose 4*o - 2 - 10 = 0. Let w = 0 + o. Solve -4*p = -d + w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1347.63, -2\/3, -1\/11 in decreasing order.\nAnswer: 1347.63, -1\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -809\/805 - -33\/161. Which is the third smallest value? (a) 2\/11 (b) q (c) -24 (d) 1 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (8 - 9) - -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 823992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 30. Calculate the remainder when ((-29)\/(-3))\/((-2)\/(-6)) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99)*-6)\/(sqrt(54)\/(sqrt(6) - sqrt(24))) + -4.\nAnswer: -4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 0*t + 2 + 1\/2*t**2. Suppose 4*k - 3*k + 3 = 0. Calculate x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37990*i*t - 112*i - 112 with respect to t.\nAnswer: 37990*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -777*w - 13985. What is m(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 8:15 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3030959 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -437 + 635. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 41*p + 2. Let n(s) = 17*s. Give n(x(g)).\nAnswer: 697*g + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1161a + 2b3?\nAnswer: 11911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 + 2*k**3 - k**3 + (-2*k + k - 2*k)*(k + 2*k**2 - k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*y + 10. Let r be (-4 - (-96)\/30)*30. Let k(w) = -w**2 - 27*w - 27. Calculate the remainder when k(r) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-24) + (-7)\/(-4). Let k = n + 11. What is the highest common divisor of k and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 37*f**2 - 3*f. Let y(w) = -w**2 + w. Let u(a) = g(a) + 2*y(a). Let k(r) = 6*r. Determine k(u(v)).\nAnswer: 210*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 206, 347, 652, 1175, 1970, 3091?\nAnswer: 4592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1506879\nAnswer: -1\/1506879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:49 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*i**2*o + 34*f*i**2 + 167*f*i*o + 277*f*i - 5*i**2 + 5*i*o + 11*o wrt o.\nAnswer: f*i**2 + 167*f*i + 5*i + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515446531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 234\/(-1755)*645\/(-2)*1.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 16) in base 8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/15)\/(4 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1765617 rounded to three decimal places?\nAnswer: -0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 14*u**2 + 7*u. Let x(a) = -7*a**2 - 3*a. Let g(y) = 2*r(y) + 5*x(y). Let z = 260169 - 260170. Calculate g(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12525 * -2.\nAnswer: 25050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67328 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -28*j**4 - 8896*j**3 + 11964*j**2 + 153712*j + 188848 = 0.\nAnswer: -319, -2, 37\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 15*t - 2. Let l(o) = -3*o**2 - 22*o + 3. Let f = -3895 - -3890. Give f*l(s) - 7*u(s).\nAnswer: s**2 + 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -67. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 8008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -53.8. Let s = a + 12. Is 33 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323330 is divided by 81.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, b: 4, z: 2}. What is prob of sequence cbbc?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/36 and -131\/80160480.\nAnswer: 80160480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**7\/21 - 5*b**4\/24 + 6*b**2. Find the second derivative of s(i) wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11788 is divided by 1302?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*b + 16 = 4*w, 10 = 5*b. Let a be 10\/3*(-18)\/(-12). Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l. Let z(k) = -13*k. What is z(f(s))?\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2073722 is divided by 52?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550043.\nAnswer: 13, 29, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -14, -18, -24, -32?\n\"Answer: -b**2 + b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(6\/(-4)) - 0. Suppose w - 58 = -4*u - l*w, 5*u + 4*w = 72. What is the remainder when u is divided by (96\/(-56))\/(2\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 s, and 1 t when four letters picked without replacement from tscspcsrccspssscs?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28 + -15 - 19) + 5. What is the nearest to n in 1\/238, -2, -12, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79459 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b**2 - b + 11. Let a be j(0). Suppose -4*o + 5 + a = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2069457 is divided by 167?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158149?\nAnswer: 167, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506*m - 502*m - 502*m + 1508*m - 14.\nAnswer: -2*m - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5111.\nAnswer: 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 12*u + 40. Let i(j) be the third derivative of 0*j - 4\/3*j**4 - 2*j**2 - 77\/60*j**u - 49\/120*j**6 - 2\/3*j**3 + 0. Solve i(c) = 0 for c.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/275012455 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*p**3 + 10*p**2*u + 25*p**2 - 3*p*u - 52*p - 2*u wrt p.\nAnswer: 42*p + 20*u + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**5 + 22575*m**4 - 25605360*m**3 + 279473020*m**2 - 607769760*m - 912870720 = 0.\nAnswer: -1, 6, 2252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -4*r + 88. Is r at least as big as -2\/177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = 6. Put 0, s, -5 in ascending order.\nAnswer: -5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 15*p**2 + 7*p - 2. Is c(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/18 + (-14)\/(-4). Suppose -v = q*v. Let o(n) = v*n - n - 7*n - n**2 + 3 + 3*n. Let b(i) = i**2 + 4*i - 2. Calculate 4*b(u) + 3*o(u).\nAnswer: u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11612, -1 in increasing order.\nAnswer: -1, 0, 11612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 5*q - 14. Let a be c(-7). Suppose a = -y - 5, -2*w + 0*w - 3*y = -153. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16733?\nAnswer: 29, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 11. Let b be q(-9). Suppose -2*d + 90 = 5*w - 7*d, w - b*d = 15. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/17 + 1668*q**2\/17 + 5058*q\/17 - 30132\/17 = 0. Calculate q.\nAnswer: -6, 3, 837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5 + 1, -4*k - 3*p = -29. Let c be (12\/(-9))\/((-1)\/3). Solve f - 15 = k*u - c*f, 0 = -f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*q = -8, -4*q = -3*z + 6*z - 12. What is the third derivative of 7*y**6 + 24*y - 11*y - 17*y**6 + 7*y**6 + y**2 + 32*y**z + 0*y**2 wrt y?\nAnswer: -360*y**3 + 768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9466667 and 2022?\nAnswer: 56800002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {b: 10, q: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czso when four letters picked without replacement from ohsobozccooc?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i**5 - 487*i**4 + i**3 + 10111*i**2 wrt i?\nAnswer: 300*i**2 - 11688*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 443\/4 (c) 1\/4 (d) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1091 divided by -1091.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*n + 2*n + 58, 94 = 3*n + 4*z. Calculate the lowest common multiple of n and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2144, 2157, 2170, 2183, 2196?\n\"Answer: 13*r + 2131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 6:03 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -20c?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-282)\/(-6)*1)\/(-2 - 10).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v, -2*r - 5*v + 8 = 0. Suppose -r*z + 41 = 5. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-13 - 6) + 13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60263501.\nAnswer: 557, 108193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.34 + -0.06. Let i be 5\/(-50)*58*1. Let g = -5 - i. Which is the closest to -0.2? (a) d (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 11:28 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7892 - 5632. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3022734681 to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/232 and 83\/8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (199*b + 125*b - 58*b)*(12*b - 13*b - 2*b**3 - 6*b).\nAnswer: -532*b**4 - 1862*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 3*p + 2*p + (2*p + p - 4*p)*(157 - 315 + 152) - p + p + p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(12\/(-980)) + 0. What is the greatest common divisor of z and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 279*k - 552. Let g be v(2). Let a(i) = i**3 - 3*i**2 - 19*i - 5. Calculate a(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsrj when four letters picked without replacement from srsjrsssj?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4995659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80153*l**2 - 118837*l wrt l.\nAnswer: 160306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14881107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + (-2 - -9))*216010\/60 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*a**2 + 32*a**2 + 5*a**2)*(-1 - 1 + 3).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -67. Suppose -18 - b = -t. Let o = t + -21. Calculate the remainder when o is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 17*h**6\/360 - 29*h**4\/24 + 4*h**3\/3 - 32. Let o(j) be the third derivative of b(j). Differentiate o(g) wrt g.\nAnswer: 34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 2*o - 1. Let x(h) = 3*h. Let k(f) = -f. Let j(t) = -8*k(t) - 3*x(t). Calculate g(m) - 3*j(m).\nAnswer: -2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 3 (c) -1.105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112353 (base 6) in base 14?\nAnswer: 372d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/75 and (-7910)\/1800 + (4\/2 - (-11 - -9))?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21820184 divided by 1418.\nAnswer: -15388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 + -0.65. Let f = a - -2.6. Put f, -1\/3, -3 in increasing order.\nAnswer: -3, -1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-6)*2 - -20. What is the highest common divisor of 35 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -1246.6.\nAnswer: 1246.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86231*f**2*v**2*z**2 + 2*f**2*v**2 + f**2*z - 650225*f*v*z**2 wrt v.\nAnswer: 172462*f**2*z**2 + 4*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 211309 greater than or equal to 1479161\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10) + (-30)\/(-75). Let m(n) be the third derivative of n**2 - 1\/3*n**3 + q*n + 1\/120*n**6 - 1\/8*n**4 + 0 + 1\/60*n**5. Determine m(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*h - 3*o - 0, h - 5*o + 25 = 0. Suppose 2*n - 64 = -5*a, 3*a - 29 + 2 = -5*n. Let y be (-4)\/a*14\/(-3). Is y bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + h**3 + 3*h**3)*(2*h + h - 2*h)*(29*h - 26*h + 58*h) - 4*h**5 - 8*h**5 - 4*h**5 + (3 - 3 - h**4)*(-h + 0 + 0).\nAnswer: 46*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - 1334?\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -93.\nAnswer: -29\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*u**5*u))\/(u**(-5)*u))\/((u\/(u*u**9\/u))\/u**(2\/21)))**21 assuming u is positive.\nAnswer: u**107","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 6:40 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 10, -6.\nAnswer: -6, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -269, -3, 14, 2, -2, -1 in descending order.\nAnswer: 14, 2, -1, -2, -3, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2400591140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 3.1. Let c = -5.09 - -0.09. Let n = c + z. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2952, -2094, -1236, -378, 480?\n\"Answer: 858*o - 3810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3069.3096*3.\nAnswer: -9207.9288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5419649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 2*v**2 + 0*v**2 + 2*v**2. Let j(m) = 18*m - 4. Let f(q) = -18*q + 3. Let s(c) = -4*f(c) - 3*j(c). What is k(s(b))?\nAnswer: -648*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1094.8 - -1879902388.\nAnswer: 1879901293.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6192 - 18?\nAnswer: 6174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**7\/147 + 4*y**6\/105 + 3*y**5\/35 + 2*y**4\/21 + y**3\/21 + 3*y - 3. Let c(s) be the first derivative of n(s). Factor c(x).\nAnswer: 2*x*(x + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-8)\/10)\/(280\/100).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*f + 94 = 0, -109 = 23*m - 3*f - 63 + 102 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.48309 days to minutes.\nAnswer: 52535.6496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755583080 to the power of 1\/3, to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 11 - 2*g**4 + g**2 + 1767*g**3 - 1765*g**3 + 0*g**4 - 9*g to the form p*g**4 + t*g**2 + c + q*g**3 + i*g and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 7. Let t(m) = 4*m**3 - 11*m**2 - 17*m - 35. Give -5*q(d) - t(d).\nAnswer: -4*d**3 + 11*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suu when three letters picked without replacement from sussu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.1 + -2.1. Let q = -120.25 - -118.25. Which is the second biggest value? (a) t (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*c - 29*o + 33*o, 0 = -c - 5*o + 17 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.775619ml?\nAnswer: 0.002775619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 3*a**3 + 2*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 474 + -403. Is 74 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:45 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8 - 8 - 1 + w. Let a(f) = f - 5. Let q = 7 - 5. Let p(r) = q*s(r) - a(r). Determine p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - (-27 - 1\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r + 282. Let g = r + -423\/5. What is the common denominator of -57\/4 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35293 divided by -2\nAnswer: 35293\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 + 16*y**2 - 6*y**2 - 4*y - 29*y**2.\nAnswer: -27*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9411090 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1418 - -0.141181. Round h to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(6\/4) + 0. Suppose 0*s - s = 0. Which is smaller: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 b when three letters picked without replacement from byffbybykby?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16682 and 1147546.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160\/7 + 23. Let n be (5 - (-1920)\/(-190)) + 5\/1. Sort -3\/4, m, 0.3, n.\nAnswer: -3\/4, n, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38 + -1061?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21166 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-6)*u**1\/u)\/(u**(-7)\/u*u*u**(-2\/3)))\/(u**(1\/6)\/((u**(1\/10)*u)\/u*u)*u*u\/(u*u**4\/u)*u\/(u**(2\/5)*u*u)) assuming u is positive.\nAnswer: u**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnn. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -50436105 (base 7) to base 14\nAnswer: -7b273c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(112\/12) + (-2 - 11 - (-383)\/21)\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**2\/2 + 22*o - 4. Suppose 0 = 20*g + g - 462. What is the least common multiple of h(0) and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20328 - -33765. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f + 0*f)*(-10*f**3 - 18*f**3 - 23*f**3) + (7*f**3 - 2*f**3 - 3*f**3)*(-2 - 2*f + 2).\nAnswer: -106*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*a - 22 = 0, 2*a = 2 - 4. Let n be (-4)\/p*3 - -4. Let s be (0 - 3)*n\/(-6). Solve -5 = -4*z + 5*w, 2*z + 0*z + 3*w = -s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12450548 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = 3*j, -5*v = -5*j - 80. Suppose -v = 2*f - 4*x + 3*x, -5*f = 3*x + 43. Which is the third smallest value? (a) 0.5 (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22*1\/(-5))\/((-30)\/(-1425)*19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -59 - -31 - -22?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 = -8. Let v = k + 7. Calculate the remainder when 47 is divided by (-1)\/v + 49\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*w + 6, -3*q + 5 = -5*w + 3. Suppose -3*s - 12 = 2*d + w*d, 4*d = 5*s - 12. Solve -2\/3*v**2 + s - 4\/3*v = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175286 divided by 18.\nAnswer: 87643\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 30, -2, 4, 1 in descending order.\nAnswer: 30, 4, 1, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-192))\/((-60)\/80)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 273.91 (b) -3\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7119 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -108. Solve -w - 21 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r - 32*r - 16143 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f + 5. Let w(c) = -7*c - 1 + c - 4. Let z(n) = 4*h(n) + 5*w(n). What is the first derivative of z(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*k**3 - 1 - 13*k**3 + 13750*k**2 - 13747*k**2 in the form i*k**3 + m*k**2 + u*k + n and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w - 30. Let x(k) = -k**2 - 6*k + 3. Let g be x(w). Suppose 0 = h + g*n - 63, 5*h - 258 = 4*n - 0*n. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8134*p - 41. Let s(g) = -2713*g - 15. Determine -11*s(l) + 4*v(l).\nAnswer: -2693*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10931892?\nAnswer: 2, 3, 857, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4 - 4 + 4*f + 0. Let d(x) be the second derivative of x**3\/3 - 2*x. Calculate d(o(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151 a factor of 61348671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -1\/168*k**8 + 12*k**2 + 0 + 0*k**4 + 1\/60*k**6 + 0*k**7 + 0*k**3 + 0*k + 0*k**5. Factor l(h).\nAnswer: -2*h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 899499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (39\/(-2) + 6)\/(-3). Let a(c) be the first derivative of 1\/3*c**6 + 0*c + 7 + 2*c**5 + t*c**4 + 2*c**2 + 14\/3*c**3. Factor a(g).\nAnswer: 2*g*(g + 1)**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 11. Give x(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.76? (a) 5 (b) 0.1 (c) 3 (d) 1\/8 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191218*p**4 - p**2 + 4999*p - 26?\nAnswer: -4589232*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(2\/9)\/k)*k\/(k\/((k**(-3\/5)\/k)\/k)))\/(k**8*k\/(k**(-6\/7)\/k)) assuming k is positive.\nAnswer: k**(-4309\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - -11202110?\nAnswer: 11202144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45224, -81644, -118074, -154520, -190988?\n\"Answer: -i**3 + i**2 - 36416*i - 8808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3\/5, -55, 24420?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1185, 4518, 7851, 11184, 14517, 17850?\n\"Answer: 3333*f - 2148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36538.4 rounded to the nearest one hundred?\nAnswer: 36500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 9:27 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 9. Let x = 26 - w. Let b be (35\/14 - 3) + (-2)\/x. Solve b = 7*r - 4*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -229*t**2 + 3577*t - 20. What is g(15)?\nAnswer: 2110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 5*q - 3, 24*n - 3*q - 6 = 22*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, -33.\nAnswer: -33, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**2\/2 + 59*i = 0?\nAnswer: -118, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*((-9 + 0 + 3)*(-2*y**2 + 4*y - 4*y) + 8*y**2 - 39*y**2 - 44*y**2)*(5*y**2 - 4*y**2 + y**2).\nAnswer: 252*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1215259, 2430531, 3645803, 4861075, 6076347, 7291619?\nAnswer: 8506891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000037541 to 6 decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1226*m**3 + 3*m**2 + 4*m - 2. Let c be k(-5). Suppose 207595 = 3*s - y, -2*s + 69185 = -s + 3*y. Let o = s + c. Round o to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -305518401*h**2 + 3629*h - 6186 wrt h.\nAnswer: -611036802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6723653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 446*r - 47118. Give c(172).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7709040 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100211111212 - 111?\nAnswer: -100211112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.537 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, j: 6}. What is prob of sequence jjij?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52540632?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -39 and 8009.\nAnswer: 7970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -8*z + 360. Suppose z = m + m. Suppose -4*t = 4*s - m, 3*s = -t - 0*t + 13. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*i = -205*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 17*h**2 - 24*h + 42. Calculate q(9).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 divided by -9342.\nAnswer: 58\/4671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2729208129?\nAnswer: 3, 23, 53, 571, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -916\/5 (c) 51 (d) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n = -38*n + 88 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 2915?\nAnswer: 99110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10156, 10157, 10158, 10159, 10160?\nAnswer: 10161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/54)\/((-5)\/90).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 37 + 44 - 78 - z**3 + 3*z**4 to the form k*z + j*z**3 + i*z**2 + f*z**4 + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3, -11 in increasing order.\nAnswer: -11, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 565 and 3277.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**4\/4 - 5*j**3\/3 + 5*j**2\/2 - 3*j + 36. Let l(z) = -z**2 - 7*z + 24. Let u be l(-10). Determine q(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + m = 9*q - 22, 2*q + 6*m + 124 = 6*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/7)\/(p\/(p*p**2))*(p**(-1))**(-1\/35))**(-7\/3) assuming p is positive.\nAnswer: p**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379984.\nAnswer: 2, 11, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, e: 11, a: 1}. What is prob of sequence ae?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(2)*3 + ((sqrt(102) - -1*sqrt(102)) + sqrt(102))\/sqrt(2))\/((sqrt(1701)*2 - sqrt(1701))\/sqrt(7)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(77)\/(-1*sqrt(891)) - (sqrt(112) + 0)).\nAnswer: 37*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 314767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - 5.5. Let w = 3 + j. Let v = -68 + 73. Which is the second smallest value? (a) v (b) -2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970823 to the power of 1\/2, to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165462 and 132?\nAnswer: 330924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 4758.\nAnswer: 9516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 429*c - 2 - 394*c - 844*c + 2 as l + p*c and give p.\nAnswer: -809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 69 = -5*j, -431*j - 39 = -b - 428*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 13 - 2201237*j + 17 + 4402468*j - 2201233*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 292*m**3 + 3*m**2 + 1 - 2*m**2 - 289*m**3. Let b be t(1). Let y(j) = j**3 - 3*j**2 - j - 9. Is y(b) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 - -352467207\nAnswer: 352467207.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-3 + sqrt(539))**2*-5 - sqrt(539) - sqrt(539)) - (-6*(-1 + sqrt(539))**2 + -1)) + 4.\nAnswer: -10455 + 896*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*v = -a - 7, -2*a + 3*v - 1 = 0. Suppose d = -0*d + 8. Suppose -2*p - w = p - 7, 4*p = w + 7. Solve -d = -p*h + a*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*v - 11 = 124, 3*v + 15 = 0. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056 + -12920?\nAnswer: -11864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udd when three letters picked without replacement from ddu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355969817.\nAnswer: 7, 17, 173, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*(sqrt(70)\/(sqrt(490) - sqrt(490)*2) - (5*sqrt(49)\/sqrt(7))**2*-1).\nAnswer: -4200 + 24*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 425*r**3 + 16*r**2 - 27*r - 241*r**3 - 185*r**3 + 6. Give y(14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2.5. Let n = -31.8 - -32. What is the biggest value in n, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((22 - 19)*60*(-7)\/(-147))\/((-80)\/(-448))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30903033 is divided by 2292?\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4839847*o**2. Let j(g) = -g + 1. Determine j(u(v)).\nAnswer: 4839847*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 16. Suppose -3*o = -p + 16, -2*o - t*p - 7 = -p. Suppose -54 - 46 = 5*z. Sort z, o, -3 in ascending order.\nAnswer: z, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 98 = -4*z + 126, -2 = -2*z + 3*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**3\/3 - 259*z. Give k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 2:14 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.01 rounded to the nearest integer?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 239*q + 368*q - 80*q + 16*q + 86*q to u + z*q and give z.\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5790 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) -61 (c) 3 (d) 151\/2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (sqrt(2) - (sqrt(12)*-1)\/sqrt(6) - sqrt(2)) + -4 + sqrt(8))*-5.\nAnswer: -100 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 752\/25, 11, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12494 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1949076 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c + 3. Let i(y) = 6*y + 2. Let p(w) = 3*i(w) - 2*j(w). Let k be p(1). Suppose -3*o = -2*o - 2*u - 44, -5*o + k*u = -208. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 + 107 + -261 + -2 + 19\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794988 a multiple of 687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -3810\nAnswer: -11430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3100314 + 100220?\nAnswer: 3201034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 69. Which is smaller: 9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35014476 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30404, 60806, 91208?\nAnswer: 121610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:55 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.654666ng in micrograms?\nAnswer: 0.000654666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 214*z**2 - 5*z + 6. Let t(b) = -325*b**2 + 7*b - 9. Determine 7*k(x) + 5*t(x).\nAnswer: -127*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 73*r**2 - 19*r - 66. Let k be f(-6). Let l = 4166 - k. What are the prime factors of l?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -0*k. Solve -8 = k*y + 2*n, 6 + 7 = -4*y - n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = f. Suppose f*h = 74 + 26. What is the highest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**5 - a**4 - a**2 + a + 1. Let f(t) = t**4 + t**2 + 13*t - 1. Let j(h) = f(h) + y(h). Find the second derivative of j(x) wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*f + 10, 2*j = 7*j + 3*f - 27. What is the closest to 5 in 1, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2, 1.83, 3, 0.19 in decreasing order.\nAnswer: 3, 2, 1.83, 0.19, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 2:11 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.775394477 to three dps.\nAnswer: 10.775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -985376 or -985378?\nAnswer: -985376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 399312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 4659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9288172 - 0.3088118. Let f = 0.582 + 0.038. Let q = c - f. What is q rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -4, -2861, 0.5, -1.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 8:41 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48\/5 of a decade?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153 + -78. What is the remainder when n is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g + g**3 - g)*(-6*g + 2*g + g) + 2*g**3 + g**4 - 2*g**3)*(-12 + 2 - 16).\nAnswer: 52*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**4\/8 - 1960*d**2. Suppose 0 = -z - 0*z. Let v(i) = -i + z*i + 2*i + 3*i. Calculate k(v(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28 - 3*n + 11*n - 8*n + 129*n**2 wrt n?\nAnswer: 258*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/12)\/((-1)\/(-2)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 6*p**2 - 7*p - 3. Calculate c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1094)\/14 - (-3)\/21. Let c be (b\/(-65))\/(6\/10). Suppose -c*z + 14 = 4. Is 0.4 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -65.3 and -0.4.\nAnswer: -65.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 26.96?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -540 (b) 2\/11 (c) 4 (d) -0.2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -126 + 42?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(45) - (sqrt(45) + -1 + 0) - (sqrt(45)*2 + -1) - (2*sqrt(5445) - sqrt(45)*-1*5)))**2*1.\nAnswer: -3132*sqrt(5) + 340641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/((-8)\/4 + 2 + 2). Factor -10\/9*v**5 + 0 + 0*v - 16\/9*v**4 + 4\/9*v**2 - 2\/9*v**p.\nAnswer: -2*v**2*(v + 1)**2*(5*v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let y(z) = 3*z**2 - 29*z + 36. Let s be y(12). Suppose 55*r - s = 31*r. Solve 25 = -r*m - d*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1958, 5, 3?\nAnswer: 1958","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4386 - -5059. List the prime factors of g.\nAnswer: 5, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -35*b + 201. Let o be x(6). Is -31\/4 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -1\/4 (b) -3\/560 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/5? (a) 0.0297 (b) 2\/7 (c) 7 (d) -4\/9 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -176 + 71*y**2 + 132*y**2 + 176 in the form j + t*y + r*y**2 and give r.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - t - 1. Let n = 31 - 32. Let r(z) = -2*z**2 + 3*z + 4. Determine n*r(u) - 3*c(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -192. Let y(s) = 7*s - 576. Let b(u) = -3*d(u) + y(u). Let p(l) = -2106*l**2. Calculate p(b(o)).\nAnswer: -103194*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**4\/2 + 14547*f**3\/2 - 18305559*f**2\/2 + 1611627393*f\/2 - 796668189 = 0?\nAnswer: 1, 94, 2377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 99.777886178?\nAnswer: -99.277886178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/13 + -43\/26. Let b = 0 + -1. Let v be (3 + -2)*(b - 0). Is v >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 37426, -5, 3.\nAnswer: -5, -2, 2, 3, 37426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/2 - 2*q**3 + 15*q**2\/2 + 95*q + 6. List the prime factors of y(-9).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -115\/4 (b) -1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = 12. Let l(k) be the third derivative of k**5\/60 - k**4\/3 - 2*k**3\/3 - 6*k**2. Let b be l(8). Put t, -2, b in descending order.\nAnswer: -2, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*m = -623*m. Which is the smallest value? (a) 3\/4 (b) 2\/9 (c) m (d) -58 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 0.127185.\nAnswer: -0.372815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 6, 2, 3, 110, 30.\nAnswer: 2, 3, 4, 5, 6, 30, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2142328, -2142327, -2142326, -2142325?\n\"Answer: d - 2142329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -762*h**3 - 286*h**2 + 2*h + 8. Let o(s) = 2287*s**3 + 858*s**2 - 7*s - 28. Let r(p) = 21*f(p) + 6*o(p). Find the third derivative of r(u) wrt u.\nAnswer: -13680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x**3 + 8*x**2 + 4*x - 20. Let u(g) = -11*g**3 - 10*g**2 - 5*g + 20. Determine 5*r(p) + 4*u(p).\nAnswer: 6*p**3 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 21. What is the tens digit of n(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4609 - 1251.4391. What is a rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7, 9, 49, 125, 249, 433?\n\"Answer: 2*s**3 + 2*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 18*c - 21. Let y be z(-19). Let j be 4*(-6)\/48 + y\/4. Which is smaller: j or -1\/62?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61*k**4 - 2*k**2 + 251?\nAnswer: -244*k**3 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -29*i**3 + 3*i - 58. Let x(n) = 10*n**3 - n + 19. What is -2*m(w) - 7*x(w)?\nAnswer: -12*w**3 + w - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w - 2. Let l be s(-2). Let u = 83 + -74. Is u less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -109*y + 17659. Calculate d(162).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*l - 3)*(-15 + 1 + 45) + 6 - 4 - 3*l - 4.\nAnswer: 90*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 187811 = -4*d, 234762 = 94*d - 89*d - 3*l. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)*((g\/g**(-2)*g)\/g)\/g)\/(g\/(g\/g**(-1)))**(12\/11))\/(g**0\/g**4)**(-11) assuming g is positive.\nAnswer: g**(-1372\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -33?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1249079 and 234.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -5*c**3 + 3. Let r(k) = 3*k. Let o(d) be the first derivative of d**2\/2 - 40. Let p(s) = 5*o(s) - 2*r(s). Calculate p(f(j)).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**3 + 21*l**2 - 2*l + 23. Let o(t) = -3*t**3 + 14*t**2 - t + 15. Let y(p) = 5*d(p) - 7*o(p). What is the units digit of y(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3*231\/63 + 79 and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*g + 100, 10*c - 9*c = -4*g + 40. Suppose -10*o = -2*o + c. Let h(b) = -b**2 - 9*b - 7. What is the remainder when 52 is divided by h(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44331385 and 55?\nAnswer: 487645235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 0.154?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + (-2 - 7) - (-46 + 34).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -h + 14. Let w be 10\/(-9)*(2 - 11). Suppose -3*v - 4 = -w. What is the lowest common multiple of v and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15001 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27*1\/(-162))\/(((-9)\/(-3))\/(-1170))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -167351881 + -1.\nAnswer: -167351882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3175*n - 5*n**2 - 1584*n - 1593*n.\nAnswer: -5*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 + 463. Let x = y - 576. Let g = x + 201.999758. Round g to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1310*d + 1 - 982*d + 1728*d + 1577*d - 370*d as y + a*d and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 491*o - 193*o + 516*o - 124*o + 497*o in the form q + g*o and give g.\nAnswer: 1187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 52*y + 49*y + 27 = 0, 2*y = -5*t + 18. Which is the third biggest value? (a) -17 (b) -2 (c) -0.07 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -956710*i**6 + 2*i**2 - 8*i - 346840?\nAnswer: -114805200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let h(q) be the second derivative of 31*q**3\/6 + 4550*q. What is y(h(f))?\nAnswer: -62*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5209*o**2 + 19964 wrt o?\nAnswer: -10418*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2500 and 15.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 5*g**3 - 45*g**2 + 2*g**3.\nAnswer: -6*g**3 - 45*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -200, -262, -336, -416, -496, -570?\n\"Answer: r**3 - 12*r**2 - 33*r - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21224034.\nAnswer: 2, 3, 13, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 0, -2*l = 33*j - 32*j + 16. Let d(c) = -5*c**2 - 43*c - 7. What is d(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/3779389?\nAnswer: -6\/3779389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a353b - -4?\nAnswer: 1a353f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:25 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 37*n + 2975. Determine x(49).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -537745626 rounded to the nearest 10000?\nAnswer: -537750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.99 - -0.01. Let v = j - 5. Let r = 4\/13 - 88\/117. Sort v, 0.2, r.\nAnswer: v, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49021 and 47047.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 78. Is v equal to 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) -1\/3 (c) 1.02 (d) 1 (e) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*y - 587 + 1911 + 3054 = 0 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + 186*l**2 + 30*l**3 - 42*l**3 + 11*l**3 to w + n*l**2 + i*l + j*l**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -4, -19013 in decreasing order.\nAnswer: 103, -4, -19013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.13, 3, -794344, -11 in descending order.\nAnswer: 4, 3, 0.13, -11, -794344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 7. Let r be g(-15). Let c = r + -22. Which is bigger: 3\/67 or c?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -848 divided by -2?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*f + 37, 22 = 2*f + 3*b - 6*b. Suppose 0 - 49\/9*q**f + 0*q + 4\/9*q**3 - 49\/9*q**4 + 4\/9*q**2 = 0. What is q?\nAnswer: -1, -2\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 691395 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = 12. Let a = y - -4. Let h be (-6)\/(-4) + a\/(-4). Solve -2*p + 6 = 0, -f - h*p = 4*f - 31 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 89*l + 402 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 1050.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25887 - 25883. What is the smallest value in 3, 180, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546799 to the power of 1\/2, to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 28 + 42 + 18*x + 33.\nAnswer: 18*x + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 q, and 1 s when three letters picked without replacement from qqssqohqb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -160 (c) 9 (d) 8 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16825.\nAnswer: 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42412*k**3 + 42*k**2 - 31*k - 1 wrt k?\nAnswer: -254472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 0, -3, 5, 6, -4, -27.\nAnswer: -52, -27, -4, -3, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6 + 5*m**2 + m - 4*m**2 + 2 - 2*m. Let n be y(3). Solve 7 + 1 = -n*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 816097.\nAnswer: -1\/816097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -34*p - 16. Let f(o) = o**3 - 5*o**2 + 4*o - 6. Let k be f(4). What are the prime factors of z(k)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 69.842 and 0.1822.\nAnswer: 70.0242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33923863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 + 3 - (1 - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -21*y - 14. Let g(t) = 19*t**2. Determine g(c(z)).\nAnswer: 8379*z**2 + 11172*z + 3724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 4*a - 8. Let o be v(-9). Let b = o - 40. Sort -1, b, 1.\nAnswer: b, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-4)\/42 + (-50)\/175\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1012 by 9947.\nAnswer: -1012\/9947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f + 105 - 285 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 25. Let k be (1\/a)\/(9\/(-54)). Solve 0 = -k*n + 3*s - 24, -2*n = 3*n + 5*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 51*p**2 - 902*p + 476. Calculate b(17).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -7\/78 (c) -614\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u + 11 - 336 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21074 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 e, and 1 n when three letters picked without replacement from {c: 1, e: 4, o: 7, j: 3, n: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -9. Suppose -h*o + 12 = 2*v, 5*o - 4*o = -2*v + 3. Factor n**4 + v*n**4 + n**5 - 5*n**4 - 2*n**3 - 3*n**5.\nAnswer: -2*n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 5 (b) -1 (c) -1\/87 (d) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/((30\/174)\/(-5)) is divided by 2\/(-7) - (-37)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 3, -154.54, -2\/5, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -354880.5, 1\/4, -0.2, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(((2 + 20 - 2)*(-2*w + 5*w - 4*w) + w + 0*w + w - 1 - 3*w + 1 + (5 - 4 + 1)*(w + w + 0*w))*(0 - 1 + 5) - 6*w + 26 - 26).\nAnswer: 74*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -79\/9. Let f = 4144\/5 + -838. Calculate the common denominator of h and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-724)\/(-10) - 7*14\/245. Calculate the highest common divisor of 36 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -686798, -686743, -686688, -686633, -686578, -686523?\n\"Answer: 55*j - 686853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o*o**(-10)))))**(1\/37)\/(o\/(o**14\/o)*o\/(o*(o*o\/(o*o*o**(-4\/11)))\/o*o*o*o)) assuming o is positive.\nAnswer: o**(5956\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10749417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-9)\/((-405)\/(-80)) - (12396\/864 + -14)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 - 82 = 5*f. Which is the closest to 2\/3? (a) -5 (b) -6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*(sqrt(136) + 2*sqrt(136)) - sqrt(136)))\/(sqrt(24)\/((sqrt(24)*1)\/sqrt(8))).\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.4 - 6.4. Let m = 103 + -108. Let y be (6\/(-28))\/(3\/(-12)). Which is the nearest to -0.1? (a) m (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -44*g**2 + 8*g + 9. Let u be j(4). Suppose -3*s = -2*s + 1. Is 21 a factor of (u\/(-34))\/(s\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1.34, 4, -22, 1\/3, -3, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 20\/187, -0.03?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 6 (b) 5 (c) -3 (d) 0 (e) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 43440000 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + i + 11. Let d be c(-4). Does 3 divide -2 - (d\/15 + (-164)\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26016911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -52*d**2. Let w(n) = -166*n**2. Let y(p) = -16*m(p) + 5*w(p). Let t(r) = -2*r**2 + 655*r. Calculate t(y(c)).\nAnswer: -8*c**4 + 1310*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 497 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3637673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/75351808 and -53\/462539.\nAnswer: 828869888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 274 = 0. Suppose -3*k + 2*k - b = -4*n, -4*n - 5*k + 286 = 0. Is n a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 + 4*l + 3. Let k be 4\/(-4) - (-48)\/6. Let h(p) = -5*p**2 + 2*p - 4 + 0*p - k*p. Calculate -3*h(z) - 4*m(z).\nAnswer: -z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 + 2. Let f(k) = -9*k**2 - 4. Give -3*f(r) - 5*g(r).\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3164 = 9*x - 2*x. Suppose 0 = -z - 4, 2*o - 2*z - x = 378. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-6)*99\/(-44). Suppose -4*j = 4*c - 6*j - 22, 0 = -3*c + z*j + 21. What is the least common multiple of (-2)\/(-1)*(3 + -2) and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*o + 18 = 0, 0 = -4*j + 2*o + 17 - 1. Suppose 0 = 3*i + j + 4. Let k be 78\/(-14) + 2 - -3. Which is greater: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.7 + 22. Let s = -4.7 - b. Let v = 5.99983 + s. Round v to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 178 = 5*f, 4*f - 21 = -4*b + 195. What is the remainder when b is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3198 divided by -533.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m - m**2 - 6*m - m**2 + 29*m - 8*m + 954.\nAnswer: -2*m**2 + m + 954","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*x - 219*x + 46*x)*(2*x**2 + 1 + 0 + 2).\nAnswer: -480*x**3 - 720*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m*w**2 + m*w*x + 2*m*x - 37*w**2*x - 22*x wrt w?\nAnswer: -4*m*w + m*x - 74*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0839 - -4.9161. Suppose 9 = -2*q + 29. Suppose 5*k = 2*a - 4, 3*a - q = 4*k - 2*a. What is the closest to -15\/8 in -2\/9, k, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247798.74 months in millennia?\nAnswer: 20.649895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -7*z + 6. Suppose -2*h + 38 = z. Suppose -7*t + 9*t = h. Calculate the highest common factor of t and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13628 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 + 115 - (-87 + 37).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1359 + -1004. What is the remainder when k is divided by 99?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbmngmmgmnmgbnmgma. Give prob of picking 3 n.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-28))\/((-6)\/4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 6. Let c be w(-11). Let l = 2 + -4. Put l, -3, -4, c in descending order.\nAnswer: c, l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.3, 1\/13, -3\/2, 6\/13, 126?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (8246 - 3)\/(7 - 10)*-9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -264, -400, -538, -678, -820?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 2*l + 4*k + 205, 4*k = 3*l - 123. Suppose 12 = 4*s - 5*x, s - 3*x = -3 - 1. Suppose -s = i - 24. Solve i - l = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (0 - -9)) + (6 - -12) - 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 8. Let a(b) = -b + 2. Let h be a(p). Suppose 0 = -2*t + 3*o - h + 29, -4*o = -5*t + 25. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.6. Let f(n) = -n**3 + 4*n**2 - 3*n + 8. Suppose 2*v - 6 = 0, -2*b + 8 = 3*b - 4*v. Let q be f(b). What is the nearest to 1 in q, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/10, 0.1, -97, 1, -2\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 4:00 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*a + 65, -3*f + 0 = 2*a - 53. Let v = f - 12. Find the third derivative of 12*q**2 - 11*q**v + 10*q**2 - 4*q**2 - q**2 wrt q.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:38 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*d + 37 + 11, -3*d - 12 = 0. Let j = 3 + o. Let f = -216432 + 216432. Solve -5*k - r = 11, f*k - 3*r = 4*k + j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176*s**2 + 7*s + 20*s**5 - 176*s**2 + 358*s**2 wrt s.\nAnswer: 1200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + (-15)\/(-10))*46. Let c = 7 + -3. Suppose -4*a + t = r, 0*a - c*a + r + 217 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501 = -79*z - 48 - 83 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27466848*c**3 - 595848825*c wrt c.\nAnswer: -164801088*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1074691 divided by -12.\nAnswer: -1074691\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173353163\/406 - -426978. Let f = 3\/58 - c. Let g = -0.06 + 0.36. What is the nearest to -0.1 in g, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288485284?\nAnswer: 2, 19, 103, 137, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11*-50\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 2*b + 422. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/84 + 29\/(-42).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 57\/21 + 2\/7. What is the second derivative of 2*s - s**v + 4*s**3 + s**3 wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/15*-5*235\/15.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqgffgggqf. Give prob of sequence ffq.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 280201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -869225 divided by 35.\nAnswer: -24835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzd when three letters picked without replacement from {h: 1, d: 5, x: 7, z: 1}.\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 20*z**3 + z**2 - z - 41. Let g(u) = 7*u**3 - 14. Let d(p) = 17*g(p) - 6*n(p). Let x be d(-7). Suppose 0 = -2*t + 5 + x. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3089050 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 13 - 19. Determine c, given that -1\/3*c**w + 2\/3 - 5\/3*c + 4\/3*c**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 150968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78050411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 + -106. What is the highest common divisor of r and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08756+1\nAnswer: 1.08756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -693 + 380. Let z be 10\/4 - (-21 - (-8267)\/(-14)). Let h = j + z. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 35) + 53 + 16?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 8:25 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9948 + 9976. Solve p = -1128*f + 1132*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + 2*v - 2*v + (-2*v - 1 + 1)*(4*v - 5*v + 0*v))*(-2348 + 2348 - 562*v**2) to o*v**3 + a*v + z + g*v**2 + n*v**4 and give n.\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from vhvvhvzevvehn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 52*r**2 - 4057*r - 2662. Determine o(95).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 258*x**4 - 58155*x**3 - 146871*x**2 - 29658*x + 58800 = 0?\nAnswer: -2, -1, 1\/2, 9800\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 14*x - 4. Let j be p(14). Is (-16)\/j*521\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111\/29873 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570*s + 22695 = 585*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a hour?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.281441 take away -12889?\nAnswer: 12889.281441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -278255.0161 rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52, -587, -2110, -5137, -10184?\n\"Answer: -86*x**3 + 22*x**2 + x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13*y = 6996. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 6*c - 5*c. Let h = c + 108. Solve 2*u + 6 = h*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 12893416*m - 10390011009316.\nAnswer: -4*(m - 1611677)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -914*u**2. Let m(x) = 11*x - 3. Determine n(m(p)).\nAnswer: -110594*p**2 + 60324*p - 8226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/(((b\/(b*(b*b**(5\/3))\/b*b)*b)\/b)\/b))\/(b**(2\/9)*b)**28 assuming b is positive.\nAnswer: b**(-293\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 3*d**2 - 5*d - 17. Let l be c(-3). Find the common denominator of 616\/48*l*(-2)\/56 and 115\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v. Let o(b) = 2*b**2 + 10*b. Determine i(o(t)).\nAnswer: -6*t**2 - 30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2670 divided by -76261\nAnswer: -2670\/76261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 - -9 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + q + 65 = 0, 4*s = q - 64 + 3. Round s to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 9. Let g be r(-7). Let v(y) = -8*y**3 - 2*y - 1. Let n be v(-1). Is g\/n - 1606\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3 + 108*q**2 + 1005*q + 2450 = 0.\nAnswer: -98, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70149603*r**6 - 38959224*r**2 - r wrt r?\nAnswer: 8417952360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 7*r**2 + 3. Let v = -1 + -6. Let h be g(v). Suppose 20 = -h*d + 8*d. Solve -4*c = -d + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 3) to base 2\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 22.5 (c) 4\/3 (d) 2\/5 (e) 6\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 773*u**3 - 62*u**2 + 831 - 831 - 5*u wrt u?\nAnswer: 4638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 384, 742, 1100, 1452, 1792, 2114, 2412?\n\"Answer: -t**3 + 6*t**2 + 347*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11303000211321 + 11?\nAnswer: -11303000211310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -26*u**3 - 5*u**2 + 13*u - 2. Let w be j(2). Let y = 218 + w. Sort 3, 0, y in descending order.\nAnswer: y, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a*(a**(1\/2)\/a)\/a*a)\/a)**49)**(-47))**2 assuming a is positive.\nAnswer: a**(-2303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 2, m: 4, b: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12154)\/177)\/103 + 8\/3. Suppose -21\/5*v + 9\/5*v**z + 6\/5 = 0. Calculate v.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**4\/3 - 5*t**3\/6 + 3*t**2 - 15*t. Let p(i) = 3*i**2 + 4*i - 5. Give -5*p(x) - 4*r(x).\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (324\/(-14))\/(10 + (-2992)\/308)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9170*a**3 + a + 22975*a**3 - 10179*a**3.\nAnswer: 3626*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 4*o - 4*o)*(o**3 - 2 + 2) + 4*o**3 - o**4 - 4*o**3 + (-6*o + 6*o - 4*o**3)*(3*o + 2*o - 4*o) + 4*o**4 + 0*o**4 - 3*o**4.\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**23*(r\/r**(-1\/5))**(-14))**25 assuming r is positive.\nAnswer: r**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q + 5*q - 25*q + 10*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 372 + -192. What is the greatest common divisor of 36 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 5, -450, 0, 1, 90 in descending order.\nAnswer: 90, 54, 5, 1, 0, -450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -5 - (18 + -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14 - 26 - 24 + 14 + 32*l wrt l.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r - 2*r**2 + 3*r + (-18*r + 0*r - 8*r)*(0 + 1 + 17*r - 8*r) + (0 + 1 + 0)*(2*r**2 + 3*r**2 - 4*r**2).\nAnswer: -235*r**2 - 26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/28)\/((-3)\/(-4)). Suppose -a - 2*a = 0. Suppose -4*d = -j - 5*d, a = -2*j + d - 15. Sort k, 1, j.\nAnswer: j, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18464 - -19014. Calculate the highest common factor of 220 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 4*f**2 + 2*f + 11. Calculate the remainder when 102 is divided by v(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c. Let k(p) be the second derivative of -5*p**4\/4 + 20*p. Give s(k(v)).\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*5 - (-3 + 0). Find the common denominator of 1116\/96*8\/c and 14\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180676245 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81*j**3 + j**2 - 8624*j - 49626171.\nAnswer: 243*j**2 + 2*j - 8624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23.5, 4, -25.\nAnswer: -25, -23.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 2\/9, 1\/15, 8?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvvvnvvvvnnn. Give prob of sequence vvvn.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53877923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2*(7 - (-3 + 9)). Suppose v = -5*s + 2*n + 3*n + 295, 5*s = 4*n + 297. Let q = -7 + s. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1698, 3355, 5012, 6669, 8326, 9983?\n\"Answer: 1657*l + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7855 + 54991\/7. Determine r so that -4*r**3 - d*r**5 - 2\/7 + 12\/7*r**2 + 22\/7*r**4 + 2\/7*r = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9151000?\nAnswer: 2, 5, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404*g**2 - 400*g**2 - 399*g**2 + 1596*g**2 - 399*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/9)\/r*(r\/((r**3\/r*r)\/r))\/r)\/((r\/(r**(-2\/3)\/r)*r)\/r**0))\/(r**(-1\/2)\/(r*r**6)*(r*r**1\/r)**(2\/7)) assuming r is positive.\nAnswer: r**(97\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.61 + -0.61. Is t <= 1\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116.9 at least as big as -146468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-88)\/8)\/(-242))\/((-2)\/8).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 329843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 50371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*a + 7, 3*b = 2*b + 3*a. Let n = 10 + -10. Suppose n = -2*f + 1 + 7. Which is bigger: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87098739 and 2457.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.027 + -0.537. Let z = -19.89 - -20. Let b = z + h. Sort -0.3, -5, b in decreasing order.\nAnswer: -0.3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 330444?\nAnswer: 330441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7973.186818155 - -7973.684. Let q = v - 0.12018109. Let x = q - 0.377. Round x to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1345705*r**2 + 1700050 wrt r?\nAnswer: -2691410*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**2 - 148*c - 477. Calculate n(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/16 + (-13 - -1)\/6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*f**4 + 5032*f**2*w + 76*f**2 - 31*f + 10*w - 7032 wrt f?\nAnswer: -360*f**2 + 10064*w + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (35 + (-2844)\/84)\/((-3)\/3 + 2057\/2023)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3251925.\nAnswer: 3, 5, 97, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540909 is divided by 1069.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*x + 2*x + 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3)*s**(-1))\/(s**3\/s*s*s**(-7)))**(-19) assuming s is positive.\nAnswer: s**(-209\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (256\/(-9408))\/(4\/(-336)).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**4\/8 + 3*d**3\/2 + 4*d**2. What is the lowest common multiple of 18 and k(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxjzzzzcz. What is prob of picking 2 z?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -29\/15*c**5 - c**2 + 0*c**4 + 31 + 28\/3*c**3 + 0*c. What is the first derivative of o(k) wrt k?\nAnswer: -232*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 314*y**2 + 18229*y + 112560.\nAnswer: (y + 7)*(y + 67)*(y + 240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 3 - -23)\/1 - -2. Suppose -10*h = -r - 63. Suppose -j + 4*q - 892 = -2*j, 0 = -3*q + h. What is j rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - v**3 + 5*v**3)*(-2*v + 0*v + v) + 0*v**2 + 2*v**4 + 0*v**2 + (-5*v + 2*v + 2*v)*(v**3 - 4*v + 4*v) + 7*v**4 - v**4 - 3*v**4.\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 + h - 1. Let l(b) = 8*b**2 + 3*b - 1. Calculate 5*j(i) - 2*l(i).\nAnswer: 4*i**2 - i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 4*k + 7. Let r be o(5). Let p(d) = d**2 + 4*d - 3. Suppose -5*f + 81 = 76. Let v(n) = -n + 1. Calculate f*p(m) + r*v(m).\nAnswer: m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27824*t - 27881*t = -2109 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2563 or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30442845)\/(-648261) + (-2)\/(-51).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3. Let p = m + 1.1. Let w = 0.06 + 3.94. What is the nearest to p in w, 1\/2, 4\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 8:59 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23674895 divided by 11?\nAnswer: 23674895\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*j**2 - 8 + 2*j - 209*j**2 + 8 to the form f*j**2 + v*j + h and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 43*s + 195. Let y be d(38). Suppose 6*u - 4 = -4*c + 3*u, u = 3*c + 10. Put c, 4, y in increasing order.\nAnswer: c, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 156, 329, 560, 843?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 3. Let v(u) = 3*u**3 - 7*u**2 - 4*u - 15. Determine -4*p(c) + v(c).\nAnswer: 3*c**3 - 7*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 17, 28, 43?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/7740 and -37\/5580.\nAnswer: 239940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.292 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38433 + -4833. What is p rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t*t**(-2)\/t)\/t)**(6\/11)*t**(-5)*t*t**7)**(1\/75))**(-3\/8) assuming t is positive.\nAnswer: t**(-27\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f**2 - 56*f + 25. What is a(2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**2 + 2209 + 2165 - h**3 + 0*h**3 - 4507 as f*h + l*h**3 + m + z*h**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 11*t = 6*t - 4, -5*f + 23 = -4*t. Let g(q) be the first derivative of 5*q**2\/2 - 4*q - 12. Give g(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432919 is divided by 2867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 5. Let a(b) = 6136*b**2 + 19175. Calculate a(d) + 3835*i(d).\nAnswer: 2301*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342 (base 15) to base 13.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11212202011101020 - -10?\nAnswer: 11212202011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.4326718 minutes?\nAnswer: 25960308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646289 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/2 + 522167*z\/2 + 261083 = 0.\nAnswer: -522166, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 4)*510\/(-306). Solve v - 5*o = 20, -b*v + 3*o - o = -31 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -8 + 57. Let l(o) = o**3 + 9*o**2 + 7*o - 5. Let m be l(-8). Suppose a + 4 = d, 0*d + 10 = m*d - 4*a. Which is bigger: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*v**3 - 65*v**2 + 67*v**2 + 4 - 6 + 2*v**4 to i*v + l*v**4 + c + r*v**2 + j*v**3 and give j.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 26*h**2 - 30*h - 2. Let p = 258 + -280. Is x(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68.8 - -69. Sort 0.1, 2, 3\/4, o.\nAnswer: 0.1, o, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*x - 67005*x**2 + 183*x**4 - 162*x**4 + 66996*x**2 to the form s*x**4 + l + k*x + h*x**3 + t*x**2 and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c + 3. Let y(n) = -17*n - 10. Let k(r) = 11*o(r) + 4*y(r). Let v be k(-6). Suppose -13 = -v*a + 2. Solve 4*j - 1 = a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2536 is divided by 122?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cty. What is prob of sequence cy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*(-3 + 2))\/(-1). Let a(p) = p**2 + 2*p**2 + 0*p**o + 2*p**2. Let c(n) = n**2. Give c(a(m)).\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7367656693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 89*j - 193*j + 97*j - j + 0*j + 2*j + (2 - 5 + 2)*(-2 - 2*j + 2))*(-6 + 8 + 2).\nAnswer: -16*j - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**7\/840 + n**6\/72 - n**5\/24 + 13*n**3\/6 - 18*n**2. Let g(q) be the first derivative of b(q). Give g(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*w + 9, -15 = -39*y + 42*y - 5*w. Factor 4\/9*p - 2\/3*p**2 + y + 0*p**3 + 2\/9*p**4.\nAnswer: 2*p*(p - 1)**2*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 2*q**2 + 5*q**2 - 5 - 3*q**2. Let b(l) = l**2 + 3. Let t(u) = u - 11. Let y be t(6). Give y*b(s) - 3*d(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-2 - -2) + 22. Let q = -10 + k. Solve -5*w = -0*w - q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 8:25 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*sqrt(7)*3 - -2*(sqrt(7) + sqrt(21)\/sqrt(3)))**2 + ((-1*sqrt(84))\/sqrt(12) - sqrt(7)) + 1)*-2*-2.\nAnswer: -32*sqrt(7) + 11216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 498909 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -142*t**2 - 6*t - 3. Let k(o) = -284*o**2 - 14*o - 7. Calculate -7*i(q) + 3*k(q).\nAnswer: 142*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 29 = 3*t, 6 + 10 = -2*r + t. Put 4, -3, r, 3 in descending order.\nAnswer: 4, 3, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 0 + (-13)\/(-1). Let o = 15 - c. Let f(i) = -i**3 + 3*i**2 + 4*i + 2. Let t be f(o). Solve -3*n + 25 = 2*n, -3*x - t*n = -10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33528)\/(-2912) + -11 + (480\/(-180))\/(14\/3)\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.096 + 7.156. Let r = a - 3.06. What is the third biggest value in -3, r, -4, 0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -166 - -166. Suppose y = 8*a - 7*a. Solve l + a = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11045.9 - -11046. Put -1.17, a, 5, 2\/3 in decreasing order.\nAnswer: 5, 2\/3, a, -1.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -3\/8 (c) 5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32548.45km in micrometers?\nAnswer: 32548450000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-18))\/((-8)\/9 + 2). Put 0, 23, y in increasing order.\nAnswer: 0, y, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 1. Let o(m) = -3*m + 113. Calculate -3*g(p) - o(p).\nAnswer: -3*p - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-4) - (-2 + 2). Suppose -6 = -3*q - d*n + 21, 33 = 2*q + 5*n. Solve 15 = -q*z - z + 5*h, -7 = -3*z - 5*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4649*t**4 - 2045*t**4 - t**2 + 171*t - 1209*t + 3658*t**4 wrt t.\nAnswer: 150288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9*1262\/(-12)*(-4)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -11. Let w(c) be the third derivative of -1\/75*c**5 + 0 - 2*c**2 + 1\/60*c**4 + 0*c**3 + 1\/300*c**6 + v*c. Factor w(j).\nAnswer: 2*j*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128b (base 14) in base 13?\nAnswer: -1639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 0\/(-1))*-1. Let j(d) = d - 1. Let g be j(3). Let a(v) = 7*v - 3*v**2 - 4*v + g*v**w. Calculate a(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2920 divided by 5.\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 8. Let q = 9 + -11. Let u be (10 - 4 - 4)*(-2)\/(-4). Which is the nearest to u? (a) h (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1701*0.18.\nAnswer: -306.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 6301385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43455 and 11665?\nAnswer: 101380515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*p + 2 + 59 + 303 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*l - 68*l - 2*l**2 - 48*l as s*l**2 + j*l + g and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -876710 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5 + 176*w**4 - 362*w**3 - 176*w**2 + 360*w = 0.\nAnswer: -90, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + 253. Let c = -636875583.999753 - -636875261. Let r = h + c. What is r rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-9\/4)*a**(-10)*a**(2\/53)*a\/((a\/(a**(4\/9)\/a))\/a*a) assuming a is positive.\nAnswer: a**(-24361\/1908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -794 + 20*b - 778 - 18*b + 1572.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from eybeby.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + 96*x - 2. Let b be h(-36). Calculate the greatest common factor of b and 774.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*-2*sqrt(220))\/((sqrt(100)*1)\/sqrt(10)))\/(sqrt(1250)*-2 + sqrt(6050) + (sqrt(6050) - sqrt(6050)*2)))**2.\nAnswer: 176\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*l = 0, -6*n + 3*l = -n. Are n and 6\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i**3 - 11*i**3 + 27*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e155 - 0?\nAnswer: -e155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrrrhhhhllrlhrrrl. Give prob of sequence hrl.\nAnswer: 49\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3 - 10 + 5*t**2 + 5 + 14*t + 9 - t**3. Let j be u(7). Suppose -2238 = -j*o - 586. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 105346708 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 <= 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5*s + 15, 3283*s - 3287*s - 18 = 2*k. Solve k*w + 12 = -0*g - g, 3*g + 6 = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + 74. Let z = -73 + 143. Let n = w - z. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 7*w + 6. Let b be x(-8). Let y(h) = h**2 + 3*h + 3. Let g be y(b). Calculate the remainder when g\/(2\/61)*2 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/21 + 100*p**3\/3 - 4184*p**2\/7 - 71760*p\/7 + 158400\/7 = 0. What is p?\nAnswer: -12, 2, 30, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 299872\/(-8)*1\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**40*k\/(k\/k**4) assuming k is positive.\nAnswer: k**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**3 - 590*u**4 + 2*u**2 - 2*u - 3 + 589*u**4 - 8 in the form y*u + m + r*u**3 + l*u**2 + q*u**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14433, -14843, -15267, -15711, -16181, -16683, -17223?\nAnswer: -17807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 6. Let l be (3 + -1)*x\/2. Suppose 5*t = 2 + l. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*2 + -3)*5.\nAnswer: -15 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 323 + -322.9995686. What is j rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1044*y**2 - 43866*y - 32. Calculate u(-42).\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 5*v - 3*v + (-4 + 0 + 1)*(-6*v - 1 + 1) + 4*v - 2*v - v to x + g*v and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 136*a**4 - 479 + 9*a**4 - 8*a + 8*a - 11*a**4 wrt a?\nAnswer: 536*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222091 is divided by 1749?\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077234560 to the power of 1\/2, to the nearest integer?\nAnswer: 32821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2252 - -39. Suppose 3*m - i = 5*k, k - 1019 - 491 = -2*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 416369.\nAnswer: 2081845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3)*v*v*v**(-2\/11))**45)**(16\/5) assuming v is positive.\nAnswer: v**(3408\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74616 - 564?\nAnswer: 74042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -486, -5.\nAnswer: -486, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t - 64. Let d be o(-12). Let z be ((-2)\/(d\/(-11)))\/((-43)\/86). Which is the second biggest value? (a) z (b) -0.03 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -104\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 9. Let l be (-85)\/(-10) + 6\/4. Let j be s(l). Put -5, -4, j in increasing order.\nAnswer: -5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7968871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 2700*p - 13600.\nAnswer: 4*(p - 680)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 42 = 2*u. Let q = u + -18. What is the second derivative of 3*a**4 + 7*a - 6*a + q*a + a wrt a?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116020194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 u when three letters picked without replacement from ddudu.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.08 (c) -2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/9, 25, -6 in ascending order.\nAnswer: -6, -8\/9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2 + 3. Suppose 2*z = -4*s + 2, 9 = 2*z + 4*s - 7*s. Let w(r) = -r**2 + 14*r**z + r**2 - 15*r**3. Let o(t) = 2*t**3 - 2. What is v*o(q) - 3*w(q)?\nAnswer: q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:54 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(-2 - 3 + 3)*(5*q**3 + 2*q**5 - 5*q**3).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**6\/33 - 12*y**5\/55 + y**4\/2 - 4*y**3\/11 + 79. Determine w so that x(w) = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16114019 and 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355 divided by -1821?\nAnswer: -785\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-1 - 0)) + 2 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 17*x**6\/120 - 2*x**5\/5 - 13*x**4\/2 - 40*x**3\/3 - 3*x**2 + 439. Factor n(h).\nAnswer: (h - 4)*(h + 2)*(17*h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2 + 449*y - 6. Let i be d(0). Put -2, 3, i, 15, 12 in increasing order.\nAnswer: i, -2, 3, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, u: 7}. What is prob of picking 4 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3746 and 11.\nAnswer: 41206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/219, 0.3, -239 in increasing order.\nAnswer: -239, 2\/219, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 3*u + a + 13, a = u + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -189 - -204. Let w(f) = 3*f**2 + 44. Is w(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 88669, 177334, 265999, 354664?\n\"Answer: 88665*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 169*k**6\/90 + 39*k**5\/2 + 1817*k**4\/36 + 166*k**3\/3 + 30*k**2 - 950*k. Suppose i(z) = 0. Calculate z.\nAnswer: -5, -1, -6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-8 - (4 + -4)) - 0. List the prime factors of 210 + j - 1\/(-2)*0.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 0*b**2 - b**2 - 4*b**3 + 5*b**2 to d*b**2 + c*b + x + k*b**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkk. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.242 to two decimal places.\nAnswer: -2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2643 from 2.\nAnswer: -2641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*2*-2*-1)\/((5*sqrt(504))\/sqrt(8))*5.\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c + 72. What is the tens digit of m(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 33*s + 231. Determine k(20).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 19112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b*c*k**3 + b*c*k - 19*b*k**2 + b*k - 2*b - 2*c*k**4 + 10*k**5 wrt k?\nAnswer: -30*b*c - 48*c*k + 600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 86\/347?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(27))**2 - (sqrt(54)\/sqrt(9))\/sqrt(3).\nAnswer: -sqrt(2) + 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -18 (c) -1 (d) -29 (e) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2\/3 - 2*y**5 + 22\/3*y**4 + 4*y**2 + 2\/3*y - 28\/3*y**3 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57684 and 2185.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31285, 31260, 31233, 31204, 31173?\n\"Answer: -u**2 - 22*u + 31308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -1 - ((6 - (10 + 17 + -14)) + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i + 15. Let a be 2 + (-1 - 6\/i). Suppose a*t = -t + 44. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 505122565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2871 and 1472040.\nAnswer: 16192440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 247 - 27. List the prime factors of t.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -6. Let z be ((-7232)\/904)\/(3*(-66)\/9). Let p = 0.03 + 1.97. What is the closest to p in 3\/4, z, b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 - i. Let g(n) be the first derivative of -n**2\/2 - 11. Give d(q) - g(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -44*(-7)\/140*-10*(-10)\/(360\/(-3))\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.003835 litres in millilitres?\nAnswer: 7003.835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 28.982 centuries?\nAnswer: 2.8982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvnxvvvvvvvvvxn. What is prob of picking 4 v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -36 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1111057911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by 49.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1 + 0 - 3 + 1 + (2 + 1 - 1)*(-1 + 2 + 1) + 8 - 6 - 6)*(p - 3*p - p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -55248.781 rounded to the nearest 10?\nAnswer: -55250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7, 20, 39, 64, 95, 132?\n\"Answer: 3*o**2 + 4*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:25 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22112102002 (base 3) to base 5\nAnswer: 20333334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3 - 364*a**2 - 3340*a - 8100 = 0. What is a?\nAnswer: -81, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -893, -38, 2, -1, 6, 1, -4 in ascending order.\nAnswer: -893, -38, -4, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) 4\/7 (c) 1\/350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 5*r - 15, 10*r + 237*o = 236*o + 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.9376.\nAnswer: -0.28128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.047 - -17678.031.\nAnswer: 17677.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 97*b = 92*b + 17, -2*c - 3*b + 10 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -161\/5. Let q = -5467.5 + 5467. Sort q, l, 4.\nAnswer: q, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, o: 3, t: 4, n: 3, c: 1, j: 4}. What is prob of picking 1 t, 2 n, and 1 j?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l + 402. Let g be s(-39). Let c(m) = 11*m - 6. Let w(f) = -12*f + 7. Let u(j) = 4*c(j) + 3*w(j). List the prime factors of u(g).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 * 972326.\nAnswer: 36948388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 589 + 41e94?\nAnswer: 4252d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ojao.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 3:18 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24433458*s**3 - 10244167*s?\nAnswer: 146600748*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Let z(q) = -1 + 0 - q + 6. Let g be z(0). Solve -i*h + g = -7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35754*v - 11905*v - 11960*v + 1 + 39*v**2 - 11889*v.\nAnswer: 39*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9895341 rounded to one decimal place?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13983 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzzzztt. What is prob of picking 2 t and 1 z?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131568 by 65784.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 1564.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 15231085.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 55\/(-20) + 3 + 0. Suppose 2*p - 5*p = 48. Let n be p\/(-252) + (-2)\/(-9). What is the closest to 1\/3 in a, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/8))**(-43)*(y**(-6))**3 assuming y is positive.\nAnswer: y**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*r = 228*r - 206. Let y be 3*(-1 + 10\/6). What is the second derivative of 11*a**2 + 11*a**r - 2*a**2 + 5*a + 8*a**y wrt a?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 717 = -5*i + 774, 0 = i - w - 0*w - 13 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657172531?\nAnswer: 16091, 40841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -62*w. Let o(r) be the third derivative of -1\/8*r**4 - 116*r**2 + 0*r**3 + 0*r + 2. Determine m(o(l)).\nAnswer: 186*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*n**3 - 21*n**3 - 16*n**3 - 8*n**2 + 17*n**3 as b*n**3 + g*n**2 + j*n + a and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -246*k - 1 - 14*k - 127*k + 44*k - 58*k to t + z*k and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2166 + 3048. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 + 221*r - 40. Suppose -2*l - 3*x + 67 = -0, -4*x + 62 = 2*l. What is the remainder when l is divided by w(55)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by 23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 2)*1 + -1. Are 2\/3 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4652416 * 4\nAnswer: 1.8609664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by -18655858?\nAnswer: 23\/9327929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = f - 4*t + 809, 0 = 5*f + t - 806. Let u(m) = -39*m**2 - 1. Let x be u(-1). Let v = f - x. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18192.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74728 - -26368. What is o rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224032691 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -12321?\nAnswer: 12317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 627601 - -1010?\nAnswer: 630611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5*s - 5 = 0, 2*w - 2*s = -6*s - 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 19. What is the common denominator of (-6)\/10*21\/i and (-35)\/12*(-27)\/60?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 = 4. Suppose t*u + 5*x = 10 + 21, 0 = 4*u + 4*x - 28. Find the third derivative of -35*a**u + 7*a**2 - 13*a**5 + 13*a**2 wrt a.\nAnswer: -780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1700 + 3145 + 3435 = 92*u for u.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7*q**(-7)*(((q*(q**(-2)*q*q)\/q)\/q)\/q)\/q*((q\/(q**(-5)*q)*q)\/q)\/q assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -42.1. Sort y, 1, 5.\nAnswer: y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -5768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m. Suppose 5*j + x = 5 + 7, 3*j - 2*x = 15. Let u(b) = -8*b - 3. Let v(s) = -8*s - 4. Let i(h) = j*v(h) - 4*u(h). What is -17*a(n) + 6*i(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (316451*t - 316451*t + 296*t**2)*(-3*t**3 + 20*t**3 - 7*t**3).\nAnswer: 2960*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(-1)*4. Is 1*(-257)\/2*y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25639991 to the power of 1\/2, to the nearest integer?\nAnswer: 5064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345895 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2107 (b) 1 (c) 6 (d) -40 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 1315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 5. Let g be b(-7). Let v = -1 + g. Suppose 0 = 3*h - s - v - 6, -2*h + 2*s = -2. Solve -2*k - 23 = -3*i + h*k, -5*i - 7 = 3*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65417 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2970*t**4 + 8*t - 1235445 wrt t.\nAnswer: 11880*t**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -19, -2168, -3 in decreasing order.\nAnswer: -3, -9, -19, -2168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51\/16 - -7681\/1968. Let u = 2\/41 - t. Let v = -0.05 - -0.15. Which is the second smallest value? (a) -0.4 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 20. Let i(d) = 12*d + 6. Is 5 a factor of i(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28288 + 142293\/5. Let j = 2512 + -2682. Let u = y + j. What is the nearest to 2\/5 in 1, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, m: 3, u: 2, b: 4, f: 2, s: 1}. What is prob of picking 1 x and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*c + 2*m - 16, 5*m = -3*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 10*y - 2. Let c be k(-16). What are the prime factors of (-1)\/2*2*c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.393 - 1.093. Which is the third biggest value? (a) -0.3 (b) -9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/39 and -51\/22672?\nAnswer: 68016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/4 (b) -2\/5 (c) 1829 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l + 48 = 0. Let x(s) = 2*s**2 + s. Let v be x(3). Let i = v - l. What is the lowest common multiple of 2 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 14*f - 24. Let w(n) be the third derivative of n**5\/60 + n**4\/12 + 28*n**2. Let c be w(1). What is the remainder when 45 is divided by g(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 219 - 109 - 8445*m - 110 - 1991*m to the form u + v*m and give v.\nAnswer: -10436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 1168 in descending order.\nAnswer: 1168, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240646?\nAnswer: 2, 7, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 877\/6512 + 1\/592. Let l = v - -79\/66. Sort 3, 0.4, l in descending order.\nAnswer: 3, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21653245*w**4 - 41092467?\nAnswer: -86612980*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.121 and -0.84.\nAnswer: 5.14164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*p + 25, 3*w = -4*p - 8 - 18. Suppose 0*k - 2 = -2*o + 3*k, 0 = -4*k + 8. Suppose -19 = -o*l - 0*m + 3*m, 2*m = -5*l + 18. Sort p, l, 2.\nAnswer: p, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -382 - 8?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -351.0074*-25.\nAnswer: 8775.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 + -4.99. Let p = -30 - -149\/5. Which is the biggest value? (a) 4 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92.2 - -95. Let a = -36.8 + 31. Let l = i + a. What is the closest to l in -1, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5503755, -5503754, -5503753?\nAnswer: -5503752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23805 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -65, -102, -145, -194, -249?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -12*l + 15. Give c(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110011100101100011 (base 2) to base 8.\nAnswer: -4634543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 2*z + 6. Let p(j) = -9764*j - 2. What is p(o(r))?\nAnswer: -19528*r**2 + 19528*r - 58586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w - 6. Let c(d) = -5*d + 7. Let z be (-75)\/(-11) + 8\/44. Let v(s) = z*o(s) + 6*c(s). Let i(t) = t**2. Give v(i(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -855 (c) 2\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3707077\/726 - 4\/(-18)*(-6)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14325 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23 and 0.109.\nAnswer: 0.02507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*u + 155, -3*u = -3*m + 308 - 62. Let k = m - 49. Is 36 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -298746 divided by -21339.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 40. Let d(y) = -1 + 1 - 2*y - 3 + p. Let i(q) = 1. Let f(o) = 2*o**2 - 6*o - 19. Let t be f(5). Give t*d(k) + 2*i(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -1700 and -82.\nAnswer: -1782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - 16*h**2 + 16*h + 16. Let z(b) = b**2 - b - 1. Let u(v) = k(v) + 14*z(v). Factor u(q).\nAnswer: -2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -443 - -303. Let g = 142 + v. What is the closest to 1 in g, 0.1, -24?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29070?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**2\/7 - 846*k - 2848800\/7 = 0.\nAnswer: -400, 2374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -871*t**4\/12 - 755*t**3\/3 - 22*t + 1. Find the second derivative of j(p) wrt p.\nAnswer: -1742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 136602?\nAnswer: -136611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h**3 - 19*h**2 + 27*h + 1. Let v(z) = 12*z**3 + 18*z**2 - 28*z - 2. Let w be (-14 - 1)*(0 + (-3)\/9). Let p(g) = w*v(g) + 6*r(g). Factor p(f).\nAnswer: -2*(f + 2)*(3*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171\/5 - -34. Which is the nearest to -4? (a) -1 (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 317, 4 in increasing order.\nAnswer: 4, 13, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 4*d**7\/35 + 11*d**5\/20 - 22*d**2. Find the third derivative of i(w) wrt w.\nAnswer: 576*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/30)\/(3\/6). Let y = -42 - -22. Let o be (-2)\/15*(-30)\/y. Which is the second smallest value? (a) o (b) -6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -3. Let f be (1*(-12)\/16)\/(15\/(-40)). Put x, -1, f in descending order.\nAnswer: f, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1108, 2216, 3324, 4432?\n\"Answer: 1108*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d + 2. Let h be x(-2). Suppose h*i - 172 = 3*p, -5*p = 2*i - 0*i - 112. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22134, -22067, -21974, -21855, -21710?\n\"Answer: 13*s**2 + 28*s - 22175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 9:44 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 798.9517kg?\nAnswer: 798951700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108))**2 + 1 + sqrt(108) + (0 + sqrt(108))**2 + (3*sqrt(15)\/(sqrt(5)*-2) + (5 + 1*sqrt(3) - 2*sqrt(363)))**2.\nAnswer: -219*sqrt(3) + 8339\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 5*(-3)\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -7. Let v be -1 + -1 - 5*o. Solve 4*k = 3*k + v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -9*y + 7*y + 2*u, 3*u = 5*y - 187 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30485156 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -938 or -21?\nAnswer: -938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1193948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1190 or 1191?\nAnswer: 1191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 471*x**2 - 3. Let k(n) = -n**2. Give o(k(t)).\nAnswer: 471*t**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (-6 + 4 - (-6 - -12) - 2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 + -75. Suppose 7*h = x*h - 72. Does 36 divide 24\/h + (-572)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 20*v + 1176. Let p be t(0). Suppose 5*f = -3*f - p. Is f smaller than -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**2 - 51*p + 27*p + 24*p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117044977129\/7056 + 16588007. Let x = j + -1\/392. What is the common denominator of 131\/6 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a gram in milligrams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 196 + -983\/5. Which is the second biggest value? (a) -3 (b) 0.3 (c) q (d) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 + -115. Let d = w - -58. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -454) + 12 + -14?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3780 - 3778. Put 91, -3, t in descending order.\nAnswer: 91, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -991*b = -1006*b + 340005. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -22)*(-6)\/(-6)*-2. Let s be (-26)\/(-91) - (w\/7 + 3). Do 23 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 2*a + 4. Suppose -5*x - 35 = -4*l, -l = 2*x + x + 4. Let d(v) be the second derivative of v**3\/6 - v**2 - 2*v. Determine l*d(f) + 2*y(f).\nAnswer: 2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o + 8 - 8 + 22*o to the form j*o + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*z + 24*z - 561 = 654 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 4*m**2 - 7*m + 8. Calculate f(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -221*p**3 - 1104*p**2 - 41. Calculate m(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/6329073 and -71\/976971.\nAnswer: 145568679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) 0 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 2*g + g + (3 - 3 - 1)*(14*g + 8*g + 2*g).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 13*z**2 + 0 - 4 - 14*z**2 - 6*z. Let j = 0 - 0. Suppose 2*o = 2*m + 2, -5*m - 5*o - 45 = -j*m. Determine p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219 + 429 + 6*v - 215 to z*v + j and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 26 + 16 + 52 + 28.\nAnswer: -3*k**2 + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325924 + 325946 + 2*g**3 - 651870.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 59*x**4\/4 + 3*x**2\/2 + x + 25. Find the first derivative of p(m) wrt m.\nAnswer: 354*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-6)\/((-12)\/10). Suppose 2*k = -3*r + 7, -t*k + 4*r + 55 = -r. Calculate the least common multiple of k and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j. Suppose j = m - 4*m - 3*h + 69, m + 3*h - 29 = 0. Let l = m + -13. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -244, 2, -2\/9, 0.1, -118.\nAnswer: -244, -118, -2\/9, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.06 + -4. Let z = x - -0.14. Let g = 22 + -27. Which is the closest to -1? (a) -2\/11 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -23. Let t be 2\/(-3)*f\/4. Factor -10*h**2 - 3*h - 2*h - 8*h**3 + t*h.\nAnswer: -2*h*(h + 1)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 303*m - 11783. Calculate f(39).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by -2522045.\nAnswer: 47\/2522045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*i**2 - 28*i**3 - 2 - 3*i - 89*i**3 + 1 + 4 to the form d*i**3 + q*i + r*i**2 + y and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-2)\/22)\/(3\/6).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**2 + 7*o + 3 + o**3 - 2*o + 5*o. Let y be c(-4). Let z(l) = l**2 - 6*l + 3. Let w be z(6). Put 4, y, w in ascending order.\nAnswer: y, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6642 (base 9) to base 14.\nAnswer: 1adc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j + 9. Let q(l) = -l - 4. Let p be q(-8). Let d(t) = 4*t - p*t - t**2 + 6 + 0*t**2. Let x be d(0). Calculate h(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 9.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*f + 8*f - 144. Which is the closest to 7\/5? (a) f (b) -0.5 (c) -1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f - 35*f + 3*f + 6*f - 1 + 9*f. Let v(h) = -12*h**2. What is v(b(l))?\nAnswer: -432*l**2 - 144*l - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 31396*k + 34*k**2 + 31396*k in the form q*k**2 + s*k + w and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 21*v**2 + 4*v + 3. Suppose -3*u = 4*f + 15 + 10, 4*u + 4 = 2*f. Is 37 a factor of d(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6947*m - 1 - 6947*m - 17*m**2 - 32*m**2.\nAnswer: -49*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(2 + (sqrt(30)\/(-2*sqrt(150) + sqrt(6)))**2).\nAnswer: -410\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.06502 decades in millennia?\nAnswer: 0.5606502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 minus 454?\nAnswer: -453.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79\/56 + 9\/8. What is the closest to r in -2, -25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19298.58 years to millennia.\nAnswer: 19.29858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l = -48*l + 65 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 46, 170, 418, 832, 1454, 2326?\n\"Answer: 7*v**3 - v**2 - 4*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or -39?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 0 - 4\/33*f**3 + 0*f**2 + 4*f + 14\/33*f**4 - 49\/110*f**5. Factor g(n).\nAnswer: -2*n*(7*n - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96915.37ml to litres.\nAnswer: 96.91537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjwwwwweewwwy. What is prob of sequence jey?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 - -90 - (18 + -45) - (71 + -1 + 0).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 790123065 divided by -3\nAnswer: -263374355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkmkkemmkkmkmme. What is prob of sequence ee?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20546?\nAnswer: 2, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -2 - -13) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(52)\/sqrt(4))*-5 - (sqrt(13) + 3 + 5))**2.\nAnswer: 16*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 12:10 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-2 - 4)) + (-22 - -46)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -742, 39, -2?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*a**3*t**2 + 397786*a**2*z**3 + 25030*t**2 + 10569*z**3 wrt a.\nAnswer: -273*a**2*t**2 + 795572*a*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -730 + 21937\/30. What is the common denominator of v and 17\/190?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 727503 - 179590 = 3*o - 4*f, -2*o - 3*f = -365315. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1024, -1480 in decreasing order.\nAnswer: 1024, -1, -1480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/r)**34*(r*r\/r**(-1))\/(r*r\/r**(-2\/13)*r) assuming r is positive.\nAnswer: r**(-1336\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 141\/6)*-2. Suppose q - z = -g - 2*q, 0 = 4*g + 2*q - 212. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5676.2 - -5676. Let a be 0\/(0 + 2) - -5. What is the biggest value in s, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:30 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433*m + 487*m - 15336 = 0. Calculate the remainder when 957 is divided by m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 348220 + -949038. Let f = 600850.0023 + t. Let s = 32 - f. Round s to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 34*b + 34. Let x(c) = -122*c - 137. Calculate -11*d(l) - 3*x(l).\nAnswer: -8*l + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x + 16. Let o(l) = -2*l - 6*l + 3 + 9*l. Let v be (-9)\/(-6)*4\/3. What is v*c(p) - 11*o(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -6\/11 (c) 2 (d) 20058\/17 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -164 - 100. Suppose 121 + 55 = 2*i. Calculate the greatest common factor of i and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338396 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-52 - -44) + 19?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014347771 rounded to 4 decimal places?\nAnswer: 0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, -9, -115, -291?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**3 + 3*f**2 + 4*f + 37. Let n(o) = -4*o**3 - 3*o**2 - 5*o - 38. Let s(k) = -4*n(k) - 5*t(k). What is the first derivative of s(v) wrt v?\nAnswer: 3*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5271, -29664, -70313, -127212, -200355, -289736, -395349, -517188?\n\"Answer: f**3 - 8134*f**2 + 2*f + 2860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 217963685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4479954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 0 + 21 + -2. Solve -4*k - u = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jliyf. What is prob of sequence fi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/(-144))\/(1\/(32\/(-6))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13)\/v*v\/(v*v**(-3\/5)\/v*v)*v**4*v*v**2)**29 assuming v is positive.\nAnswer: v**(12731\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 73, 2, 0.24, 1, -3\/4 in decreasing order.\nAnswer: 73, 5, 2, 1, 0.24, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.05, 40, 11, -3\/7 in increasing order.\nAnswer: -0.5, -3\/7, 0.05, 11, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*u = 13, 2*b + u = -6 + 5. Let l(c) = 632*c + 1. Let q be l(b). Let p = q - 5077\/8. Calculate the common denominator of -97\/2 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/114 and 37\/1233894?\nAnswer: 23443986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0974 * 1.\nAnswer: -0.0974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18123691?\nAnswer: 853, 21247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12b (base 15) to base 8.\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + 10011.32894.\nAnswer: 10011.30894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.29925?\nAnswer: 0.05985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**14)**(-21\/2) assuming a is positive.\nAnswer: a**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 147*x + 154. Let p be l(-1). Calculate the greatest common factor of p and 184.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/2120 and -23\/20.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4)*i)\/(i*i*i*i\/(i**7\/i)*i*i))**(-38)*(i**4*i)\/((i*i*i*i**(-6)*i)\/i)*(i\/(((i*i*i*i\/(i**(-4)\/i))\/i)\/i))\/((i*i**4)\/i) assuming i is positive.\nAnswer: i**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifygfi. Give prob of sequence yg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:06 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977 = 4*j + 989 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064.088 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 5045520.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(396))\/((sqrt(4) + -1*sqrt(4)*-2)*-2).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011010 (base 2) to base 8.\nAnswer: -632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o. Let n(g) = 5*g + 4*g - g. What is n(x(t))?\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382, -520, -758, -1090, -1510?\nAnswer: -2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 3587.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 - (-52)\/(-12). Put s, 7, -1 in increasing order.\nAnswer: s, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 406 and 351712.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 14996973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1694 - -311. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 42\/(-91) - 11?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from usssmshe.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.82 - -0.18. Which is the closest to 1? (a) f (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530644 and 2252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(120))\/sqrt(4))\/((sqrt(80)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -419\/1496 + 1\/136. Let o = -33509\/1479 - 5\/493. Calculate the common denominator of s and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2822489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360\/(-220))\/((-11)\/((-968)\/(-4))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*y**3 + 8*y + 144 wrt y.\nAnswer: 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -19?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from yhqso.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 385 = 5*i, -x + 82 = 4*i - 227. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d - 15 + 6*d + 0*d**2 + d**3 - 7*d**2 - 5*d. Let k be p(6). Let w(f) = 242 + 6*f - 242. Calculate w(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*s = 129, -5*z + 5*s + 110 = -55. Let b be 2\/(-6)*(11 + -11). Suppose b*l = -l + z. What is the highest common factor of 319 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 7) to base 11\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*v - 1610 = -82*v + 85*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5450064*f**3*x - 7660*f**2*x - 100*f*x wrt f.\nAnswer: 32700384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/21)\/(((-561)\/990)\/17).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 11:03 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102755*k*x**3 + 2*x**3 + 3120*x + 4 wrt k?\nAnswer: 102755*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 32 = -4. Suppose o = -3*o + p. Calculate the remainder when 15 is divided by (4 + -3)*(o + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 6 = -s, 4*t + 5*s = -21. Suppose u + 10 + t = 0. Let d = 18 + u. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:31 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Let v(y) = 1178096*y + 0 - 1178059*y + 4. What is o(v(r))?\nAnswer: 1369*r**2 + 296*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 21992685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 69*t - 1181. Let o be w(15). Let f be (0 + 2)*(-25)\/(-2). Let p = f - o. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - h. Suppose 3*z + 22 = 4*d + 15, 4*z + 5 = d. Let y(f) = 24*f**3 + 20*f - 4. Give z*y(o) - 20*u(o).\nAnswer: -4*o**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1315?\nAnswer: 1\/1315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3584*q - 152943 - 230545 for q.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v + 1720 + 576 = 215*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39 + 156 + 32)*(z**2 + z**2 - 5 + 3) to c*z**2 + l*z + m and give c.\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:21 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7.11. Let n = 0.61 - o. Let k = -0.50000053 + n. What is k rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -115, -113, -111, -109, -107?\n\"Answer: 2*c - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 1. Let m = -44497235\/399 + 111522. Let s = 2\/57 + m. Put 4, n, s in ascending order.\nAnswer: s, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**3 + 23*x**2 - 23*x**2 + (2*x - 6*x + 2*x)*(-9*x**2 + 10*x**2 - 51*x + 5*x) as j*x + h*x**3 + t + b*x**2 and give b.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7*d = -96. Which is greater: 25 or d?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 3198286180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 57915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqvqqqqqq. Give prob of picking 2 q.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*p, 2*z + 2 = -5*p - 10. Let j(a) = a + 1. Determine j(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1051\/2760 + -2\/345. Which is the fourth biggest value? (a) 4 (b) h (c) -2\/9 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one fifths of a century?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 5. Let v(x) be the first derivative of -4*x**2 - 14*x - 1. Determine 11*c(l) - 4*v(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/10)\/((-54)\/180)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226 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: Sort -4, -2\/795, 0.2 in descending order.\nAnswer: 0.2, -2\/795, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 6, 2\/2100923, 0.09?\nAnswer: 2\/2100923","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 15*b**2 - 16*b - 2. What is the hundreds digit of i(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 15?\nAnswer: -22\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/3 - 0)*-3. Let y = -15 - v. Solve 2*f + 1 = y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, 49632, -5 in increasing order.\nAnswer: -5, -3, -0.1, 49632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 197*h**3\/3 - 2*h**2 - 3*h + 4. Is l(-1) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j - 6*j + 3*j)*(-59 - 95 - 43) + 7*j + 7*j - 4 - 16*j.\nAnswer: 1968*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 23*j - 43 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/72)\/(1\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 13*a. Let m(j) = -13*j. Suppose 44*u - 39*u + 5 = 5*r, r = 4*u + 16. What is u*w(t) - 6*m(t)?\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - v**2 - 1)*(2*v - 3*v + 0*v) + 358*v**3 + 268*v**3 - 2676*v**3 to d*v**2 + o*v + h + l*v**3 and give l.\nAnswer: -2049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/94572 and -65\/9324?\nAnswer: 662004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31371669 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4 - 6 + 5*b**2 + 2. Let n(y) = -6*y + 22*y - 4*y - y - 10*y. Calculate n(x(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 13*j**2 - 103*j + 1007. Give h(10).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/14*(616\/22 + -21) and -41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2285\/3 - -762. Let a(f) be the second derivative of 0*f**2 - n*f**3 - 6*f + 0. Let o(y) = -2*y. Calculate a(o(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33695711 + -33695562.99921. Let w = -148 + o. What is w rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 134*c - 118*c. Suppose -2*h + 16 = -c*m + 5, 2*h - m = 7. Determine x, given that 46\/11*x**h + 20\/11*x**4 + 0 + 24\/11*x**2 + 0*x - 2\/11*x**5 = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/(-33) + (1 - (-11)\/(-3)). Is -2 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-7) - (-30132510)\/4382.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.59775 centimeters in meters?\nAnswer: 0.9959775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f*f**(-1\/4))))**49*(f\/f**1)**(-36\/11))**(-12))**(-15\/2) assuming f is positive.\nAnswer: f**(6615\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -172181, -344359, -516539, -688721?\n\"Answer: -j**2 - 172175*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97439453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/218 and 21\/69722?\nAnswer: 7599698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.008 + 63.992. Let c = u + -67.1. What is c rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**5 - 15*v**4 = 0. What is v?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n, -3975 = -79*f + 77*f - n. Does 51 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 202, 290, 362, 412, 434?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-3))**(-23)\/((p**(-2\/3)*p)\/p)**(9\/5))**(7\/5))**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 100 + 31*w - 11*w to p + v*w and give p.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*b - 60, 4*h - 44 = -5*b + b. Let k = 32 - h. Calculate the remainder when 46 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = 2*s - 4, -s - 5*p - 6 = 0. Suppose -16*w = -14*w - 506. Suppose -w = -s*b - 4*z - 21, 3 = 3*z. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2330 or 1?\nAnswer: -2330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, 1258, 8 in ascending order.\nAnswer: 3, 8, 11, 1258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from zpzzzadbzdzd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 72\/5 of a second?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7 + 13 = 0. Let r = -8 + v. Let g(s) = -s**3 + 2*s**2 + 10*s - 8. Let t be g(3). Sort t, 4, r.\nAnswer: r, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkqkkkkqkqkk. Give prob of picking 1 q and 3 k.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -4*u - 55 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5*u = -10, -4*u = -9*j + 7*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h - 8. Let v(o) = -1. Let u(c) = 2*c - 3. Let s(q) = 7*q - 10. Let f(i) = -3*s(i) + 8*u(i). Let w(d) = f(d) + 2*v(d). What is -4*l(m) - 7*w(m)?\nAnswer: -m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 9:14 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g - 312. Let a be j(-78). Solve a = -77*f + 61*f - 32 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*h*m - 14*d*h*n + d*m*n + d*m - 8*d*n - 23*h*m + h*n + 2*h + 394*m - 1 wrt h?\nAnswer: -d*m - 14*d*n - 23*m + n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/124448 and -85\/31112.\nAnswer: 124448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 360 - 204?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*w - 7 + 6 = 0, -5*w - 3 = -2*i. Suppose 2 - 8 = -2*j. Put -4, i, j, 7 in descending order.\nAnswer: 7, j, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/(((j\/(j\/j**(1\/4)))\/j)\/j)))\/(j\/(j\/(j*j**(-3))*j)*j))**(3\/8) assuming j is positive.\nAnswer: j**(15\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100220 (base 4) to base 12.\nAnswer: -748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -847 = -5*h + 193. Let j(z) be the second derivative of 4*z**3\/3 - 15*z**2 - 43*z - 1. Let w be j(7). Calculate the greatest common factor of w and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -18*u**2 - 21*u - 21. Let s be ((-3)\/2)\/(14\/(-196)). Let h(n) = 4*n**2 + 5*n + 5. Let c(i) = s*h(i) + 5*l(i). Let x(w) = 19*w**2. Give x(c(k)).\nAnswer: 684*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 27 + -15 - 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 1. Let f be y(4). Let v be 30\/180 + (-26)\/12 + 102\/(-17). Let j(a) = -2*a**2 + 14*a - 11. Let x(i) = -i**2 + 5*i - 4. Give f*j(g) + v*x(g).\nAnswer: 2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 3 + 12 - 3*l - 21. Let u be r(0). Is u != -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 142260*n**3 - 5*n**2.\nAnswer: 142260*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-16)\/18)*3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*c + 73628 = 72755 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2 - 8. Let w(x) be the third derivative of -x**5\/60 + x**4\/24 - x**3\/3 - x**2. What is w(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(24\/7)*(o**37\/o)\/o*o**4\/o**(-11\/2) assuming o is positive.\nAnswer: o**(671\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2815246 and 7742.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*r - 40*r = -30*r + 2540 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87 and 8031?\nAnswer: 232899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 993 != 994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 6*l**2 - 2*l - 1. Let m be n(-6). Suppose 7 + 4 = m*r. Which is greater: 5 or r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**3\/4 + 165*u**2\/8 - 129*u\/4 + 87\/8 = 0?\nAnswer: -29, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -4 - 21\/(-1). Suppose 0 = 3*m + 3*s - d, -m - 5*s = 2*m - 31. Find a such that -3*a**4 - 2*a**2 - m*a**3 + 6*a**3 + a**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406869 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 + 60*z**2 - 9*z**2 + 116*z**2 in the form x*z**2 + w*z + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnenneennjnnnnnn.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 30 - 85 - 4*f + 42. Let y be n(-4). Suppose 0*l + 0*l**y + 0 - 2\/3*l**4 + 2\/3*l**2 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)*1*3*6)\/(-2*sqrt(63)\/sqrt(9)*-2).\nAnswer: 27*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.9 - -25. Let l = 0.16 - -10.84. Let j = -15 + l. What is the closest to -1\/4 in p, j, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211027117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3979 days in microseconds?\nAnswer: 379978560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/12)\/1)\/((-301)\/(30401\/(-606))).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -4867386992.\nAnswer: -4867386997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4849757*q**2 + 33108424 wrt q?\nAnswer: -9699514*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7 + r - 7*r + r. Let v be q(-9). Let m = v + -20. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67 - 72) + (0 - (0 - 8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -524 * -10\nAnswer: 5240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22902, -22907, -22924, -22959, -23018?\n\"Answer: -y**3 + 2*y - 22903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 38 = 25*u. Solve -3*z - u = -2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 191 + 233)*(0*v + 0*v + v).\nAnswer: 457*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -13*q + 60. Let x(r) = 33*r - 150. Let f(o) = 5*x(o) + 12*z(o). Let n be f(4). Suppose n = 14*i - 12*i. Solve -6*d = -i*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1064\/76)\/(4\/(-2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1\/12))\/l)\/(l*l\/(l*(l*l**(-10))\/l)))**(-19)*((l**(-1\/2))**(-2\/23))**42 assuming l is positive.\nAnswer: l**(58625\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = 6*r + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2. Let i(u) be the first derivative of u**2 - 11. Calculate i(g(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -570.693 plus -35709?\nAnswer: -36279.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8)*l*l\/(l**16*l*l)*l assuming l is positive.\nAnswer: l**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1835 - -1834.9. What is the nearest to y in 3.3, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-5 - ((-5 - -2) + 1))) + -16.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 103. Let g be (-5)\/((1 - -2)\/(-3)). Suppose x = 5*f + 3*m - 39, 25 = f + g*m. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(2\/33)\/i)\/i)\/i)\/i*i*i)\/i**(-30) assuming i is positive.\nAnswer: i**(926\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 3\/40*d**6 - 1\/10*d**5 + 0*d + d**3 - 3*d**2 - 3\/8*d**4 + 0. Factor f(x).\nAnswer: 3*(x - 1)*(x + 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(700) - (sqrt(700) + 1 + sqrt(700)))*-3 + -1)**2 + -3)*5*-5.\nAnswer: -945150 - 18000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**4 + 181914850*r**3 - 181914840*r**2 - 181914850*r + 181914845 = 0.\nAnswer: -1, 1, 36382969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - j = 2*j - 57, 3 = 3*j. Calculate the common denominator of 36\/(-80)*(-15)\/18 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 13. Suppose s = -4*z + 20, 2*z = -5*a + 8 + 77. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -55*s + 5. Let g(h) = -18*h + 2. Let w be 190\/(-18) - 7*(-12)\/(-189). Let j(b) = w*g(b) + 4*d(b). What is the derivative of j(m) wrt m?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.81, 3, -0.61?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -192 divided by 1\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519731 is divided by 278.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 5069.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -17. Suppose y - 4*y - 6 = 0. What is the lowest common multiple of c and (-834)\/(-42) + y\/(-14)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 6*s. What are the prime factors of (-160)\/(-8) + (s - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:06 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -30*5\/4*12\/15\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 - -4. Let g be ((-7)\/1)\/((-9)\/b). Let a = g - -349. What is the greatest common factor of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3, d - l + 5*l = -1. Let t(n) = -n**3 - 4*n**2 + 7*n + 11. Let h be t(d). Which is bigger: h or 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p**(3\/7)*(p*p**(-4)*p)**(4\/3))**(17\/4) assuming p is positive.\nAnswer: p**(-2941\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (5 - 3 - -2 - (-7 - 45 - 9))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 150, 303, 520, 801, 1146?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -58 and 24.\nAnswer: -1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33d (base 15) to base 7.\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 189883 from -21361.4.\nAnswer: -211244.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from zfdzzzzwzzzfzz?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5544752?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53868 times 25?\nAnswer: 1346700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3168650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92869 and 14.\nAnswer: 185738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -331 + -0.05987874389.\nAnswer: -331.05987874389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 0*d - 6*d)*(2*d + d - d)*(2 - 2 + 2*d + (0*d + 4*d - 2*d)*(0 - 1 + 3) + 4*d - 2*d + d).\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7.7506763303+76\nAnswer: 68.2493236697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 5*(sqrt(68) + 3*sqrt(68)))\/(sqrt(216)\/sqrt(6))*5.\nAnswer: 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, -46\/3, 4\/5 in descending order.\nAnswer: 10, 2, 4\/5, -46\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -133\/6 + 22. Let k = -6 + 5.6. Which is the third biggest value? (a) k (b) n (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(99))*1 - (5 + (-1 + sqrt(396))**2).\nAnswer: -397 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189434892?\nAnswer: 2, 3, 15786241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189453 and 41151?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 + 542*d - 7973. What is q(16)?\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 3*h**2 + 2*h - 2. Let f be k(3). Let z = -4.1 - -5. Let t = z - 1.2. What is the third smallest value in t, f, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*r - 7. Suppose -119*p = -3*z - 116*p + 15, 2*z + 4*p + 2 = 0. Solve -r = t + z*c - c, 0 = t - 5*c + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i + 1. Let b be j(-1). What is the remainder when 59 is divided by (3 + b)\/(1\/5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-3 + -5 + 372\/24). Sort z, -281, -1\/7, -2\/9.\nAnswer: -281, -2\/9, -1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, -0.00344, -1\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 - -1.3. Let i = 169\/4 - 42. What is the nearest to d in i, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-70))\/(135\/675)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 12:15 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 < -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 42\/21710573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.144*1017.\nAnswer: 146.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20846, -33108, -45372, -57638, -69906, -82176?\nAnswer: -94448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/17, -361.\nAnswer: -361, -2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -30?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 - 1586869173\nAnswer: -1586869174.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -19*d + 35*d - 21*d + 53. Let b be h(10). Let z(v) = -1 + 16*v - 17*v + 0*v**b + v**3. Determine z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/388*-10*88\/660?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*k - k. What is the smallest common multiple of k and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4*1)\/(9\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**(-13)*w*w*w\/(w*(w*w*w*w\/((w\/w**(5\/3))\/w))\/w) assuming w is positive.\nAnswer: w**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 58*o + 700. Let u be i(-12). Let f = 805\/12 - 67. Put 0.1, f, u in descending order.\nAnswer: u, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/4*740\/925?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 + (-4071)\/161. Let j be (-16)\/v - (22\/6 - 3). Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 28?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 + 4410?\nAnswer: 4241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 439184*a**4 + 2*a**3 - a**2 + 2*a + 86809.\nAnswer: 10540416*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1068616?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1122 and 0.58.\nAnswer: -650.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25978119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.3 - 37. Let j = b - -3. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 3. Let i = f + 45. What is the greatest common divisor of 130 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1091194547*l + 1091194547*l - 4*l**3 + l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -14*a**2 + 11*a - 38. Let i(o) = 7*o**2 - 5*o + 19. Calculate -13*i(s) - 6*m(s).\nAnswer: -7*s**2 - s - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/12*33*378\/(-1155)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-14) - (-1788420)\/3022866?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 18 = -8*r. Let h = r + 42. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1511279 (base 10) to base 5\nAnswer: 341330104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/(-28))\/(-5))\/(1\/(-2))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18683436 + 18683436 - 4*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2. Let z(p) = -4*p + 0*p + 6*p + 4*p. Calculate z(r(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-36) + 70\/12. Suppose j*w = w + 5*d + 15, 2*d - 4 = 0. Let v(r) = -r**2 - 2*r + 1. Let l be v(-3). Put l, w, -3 in descending order.\nAnswer: w, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.049999402 + -7.05. Round u to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 364 and 2352.\nAnswer: 30576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 1:31 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -512?\nAnswer: 10.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-495)*10\/(-96). Let p = c - 1231\/264. What is the common denominator of p and 113\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 84\/8*(-2)\/3. Let f be (4 + s)\/(1\/(-3)). Suppose 5*b = f + 21. What is the highest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.08 - 3.82. Let n = b - -5. What is the closest to n in -0.2, -3\/4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 6:26 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*g - 20. Let l(c) = -g*c + 11*c - c - c**2 + 1. Determine l(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -96866, -96867, -96870, -96875, -96882, -96891?\n\"Answer: -g**2 + 2*g - 96867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12716, 25706, 38972, 52508, 66308, 80366, 94676, 109232?\n\"Answer: -n**3 + 144*n**2 + 12565*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1097760 divided by 4.\nAnswer: -274440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 44\/5 of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4464b (base 12) to base 8\nAnswer: -261233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119407883 a multiple of 938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**5\/10 + g**2 + 41*g. Let p(r) be the first derivative of 1 + 3\/2*r**2 + 0*r. Give d(p(w)).\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 445072.234 rounded to the nearest 10000?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/8)\/((i**14*i*i)\/i) assuming i is positive.\nAnswer: i**(-117\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)\/(-2*sqrt(8)))\/(sqrt(144)\/sqrt(4)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -3*y**2\/2 + 14*y + 32. Let g be r(-11). Let w = g - -77. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -560?\nAnswer: 55b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 315?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*y + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 10*v + 18. Let h be j(-8). Suppose 0 = -5*c + c + 8. Let i(m) = -m**h - 812*m + 812*m - m**c. Let k(u) = 2*u**2. Give k(i(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -24*z - 209. Calculate t(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + l - l)*(-7*l - l + l).\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 2*f**2 + 0*f**2)*(4*f + 0 + 0) + (2 + 2 - 2)*(-f**3 - 2*f**2 + 2*f**2) + 3*f**3 - 4*f**3 - f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196537, -17, 5 in increasing order.\nAnswer: -17, 5, 196537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 6 = 13*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 184*j = 189*j - 30, -3*l + j - 8 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4492 - 3626. Let h = g - -6296. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m - 58 = a, -m - a = -60. Suppose -223 = -2*i - 73. Suppose 0 = -t + 6*t - i. What is the remainder when m is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -2*u**3\/3 - 1. Let v(c) = -2*c. Determine p(v(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -787, 0, -28, -1\/7?\nAnswer: -787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 242 divided by 2\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 15 - 21*k**2 - 39.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from ejhup.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2254190 is divided by 2254186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 65 = s - 0*b, -2*s = 2*b - 130. Suppose -3*v - 2*v = -5*m + s, 4*m = 5*v + 64. What is the common denominator of -43\/4 and v\/4 - 290\/(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*l - 2*a, 4*l + a - 69 = -20. Let x(i) = i**3 - 15*i**2 + 2*i + 24. Let d be x(l). Let m = 2849 - d. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = 46*p + 46*p. Put -926, -1, -4, p in decreasing order.\nAnswer: -1, -4, p, -926","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-306)\/(-45))\/((-170)\/(-425))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4) + (-2 - (-6)\/4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 b when three letters picked without replacement from iiibiibbbibbieiii.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + sqrt(66)\/sqrt(6) + sqrt(11) + 2)*-4 + -5.\nAnswer: -60*sqrt(11) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373237378 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**3*h*i**2 + 18*g**3*h*i + 1337*g**3*i**2 - 5*g**2*h*i + h*i + 3*h wrt i.\nAnswer: 8*g**3*h + 2674*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1815)\/(-33) - 41 - 122\/7.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4409 is divided by 1033?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2928001*d**3 + d**2 + 4165965*d?\nAnswer: -17568006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 897383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -289 + 300. Suppose 32 = 4*k + 3*s, -i*k - 40 = -15*k - 5*s. What is the highest common divisor of 45 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 183 = -21. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-1 + 0 - 1)) + (87 - 82).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671744 is divided by 61063.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2152856439 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y - 2*y)*(22 - 41 + 414*y + 17).\nAnswer: -1242*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14\/23 - -694\/69. Calculate the common denominator of h and -6\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39605, 79245, 118885, 158525?\nAnswer: 198165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 14, -11, -108, -301, -614, -1071, -1696?\nAnswer: -2513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -0.1, 184\/81, -1, 1.58 in descending order.\nAnswer: 184\/81, 1.58, 1\/7, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2561343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/9)\/(85\/34)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 7*z + 6. Let h be v(7). Let t be (-2)\/h - 26\/(-6). Suppose -t*o + 313 = k, -2*o + 5*o + 4*k = 251. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 19*u - 1. Calculate the remainder when n(21) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833834339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*r = -r - 16320. Calculate the greatest common factor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. Let k = -32 + 72. Suppose 0*w = n*w - k. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 1. Suppose 3 = g*s, 0*c + 2*s = -3*c + 8. Solve -3*n + 0*n = 4*u - 22, 3*n - u = c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415900741 to the power of 1\/3, to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by 372716.\nAnswer: 65\/372716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -606, -597, -584, -567, -546?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618 = -230*m - 79*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 13*h**3\/3 - 11*h**2\/2 + 17. Find the second derivative of t(f) wrt f.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 1:49 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-65))\/(((-216216)\/(-21632))\/(-693)).\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2966*s - 3097. Is z(75) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 9. Let m be 2\/9 + 1280\/72 + -7. Suppose r - 5 = -m. Is r at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 2:00 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.712 and -1676293.\nAnswer: -1193520.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4\/3 - 16*y**3\/3 + 8*y**2\/3 + 16*y - 12.\nAnswer: -4*(y - 1)**2*(y + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l + 70*l + 282 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1)\/(6\/(-24)*-54)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -q + 4*v, 0 = 4*q - 0*v + 2*v + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, -0.2, 0, 187 in descending order.\nAnswer: 187, 3, 0.2, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*b - 2)*(-23 + 97 + 116)*(-b + b - 3*b**3) as c*b + l*b**3 + a*b**4 + i*b**2 + w and give a.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 5*j + 5. Let o be l(4). Factor 5*t + 0 - o*t**2 - 2 - 29*t + 6*t**3 - 10 + 3*t**4.\nAnswer: 3*(t - 2)*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2)\/(-42)*-15.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*y + 3*l + 1, 3*l = 3*y + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n*n\/(n**(2\/23)\/n)))**(3\/31))**7)**(1\/7) assuming n is positive.\nAnswer: n**(-63\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 81933.47nm in micrometers?\nAnswer: 81.93347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-2))\/3*-1. Is ((-2)\/6)\/(b\/501) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6613 - 0.3387. What is the closest to i in 3\/2, 4, 3, -7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174 + 176. Let m be (4\/26)\/c - (-143)\/(-1859). Solve 5*a - 3*a + 6 = m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 6:32 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v**4\/7 + 28809*v**3 + 2267583*v**2\/7 + 942876*v + 1511460\/7 = 0. Calculate v.\nAnswer: -16794, -6, -5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-25)*(-10)\/4. Let d = 5.91 + 0.09. Suppose 4*f = -99*s + 94*s - 9, 0 = -2*f - 5*s - 17. Which is the closest to d? (a) 3 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 25. What are the prime factors of t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19063, -76247, -171557, -304993, -476555?\n\"Answer: -19063*t**2 + 5*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 4 (b) 1 (c) -4 (d) -0.08 (e) 3181672 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 - n**3 + 35*n**2 - 24*n**2 to v*n + c*n**3 + r*n**2 + z and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*1)\/sqrt(8).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 1. Let s be (6 + 0)*7\/(0 - 7). Let y(a) = a**2 - 8*a - 5. Calculate s*z(w) + y(w).\nAnswer: w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i - 3*i - 336. List the prime factors of 695 - 4\/(28\/i).\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 + w - 5 + 0*w + 2 as p*w + x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -36830 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-310) + 153\/31. Solve -21*c + y*c = -80 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20132 + -20147. Which is the closest to v? (a) -2\/3 (b) -42 (c) -3\/8 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 464*p**2 - 24576*p.\nAnswer: p*(p - 48)*(p + 512)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**3 - 2*v**2. Let s(o) = -3*o**2 + 64*o - 21*o**3 + 12*o**2 - 29*o - 35*o. Let z = -38 - -47. Give z*g(t) + 2*s(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-18))\/(1\/(-6)). Let o be ((-7)\/(-35))\/((-4)\/90)*-16. Calculate the greatest common factor of x and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 193 = 2*y - 2*r, y + 5*r - 89 = 0. Let a = -31 + y. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*o - 0*o. Let q = 9 - o. Solve -q*v - 12 + 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.9 times -0.2\nAnswer: -2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 264\/(-319) + (1 + -2)\/(-1). Let h = p + -11\/232. Put 3, h, -0.5, -1 in decreasing order.\nAnswer: 3, h, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.475 - 311.475. Let l = 311.00323 + d. Round l to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = -4. Let f be p + 7 + 51\/1. Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*1\/(-4))\/(264\/(-96))*-3?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33485 and 110413439?\nAnswer: 6697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**2 + 0*c + 0*c)*(378 - 10 + 46) to the form b*c**2 + a + r*c and give b.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1801*-1\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**6\/30 - 22*c**5\/3 + 3577*c**4\/6 - 19208*c**3 - 117649*c**2\/6 - 688*c + 1. Determine r, given that h(r) = 0.\nAnswer: -1\/3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2609*d - 5252*d + 2593*d.\nAnswer: -50*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9157*i**3*p*z**3 - 233*i**3*p*z - 33407*i**2*z**2 + 2*i**2*z - 5*i*z**3 - p*z**3 wrt i.\nAnswer: 54942*p*z**3 - 1398*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.53687 (b) -0.04 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 14*o**3 + 3*o**2 - 2*o - 2. Let c(u) = 42*u**3 + 10*u**2 - 7*u - 6. Let f = 9102 + -9109. Give f*m(g) + 2*c(g).\nAnswer: -14*g**3 - g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7472307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d - 9. Let s = -41 + 45. Let q be r(s). Solve -4*g + q + 5 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*t + 61*t + 138 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78490426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -12*c**2. Let x(u) = u + 25. Calculate x(p(m)).\nAnswer: -12*m**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -122585.7943 rounded to the nearest ten?\nAnswer: -122590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3037, 3033, 3027, 3019?\n\"Answer: -u**2 - u + 3039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -110*s + 1099. Determine m(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 86*k + 38. Let d = 401 + -374. What is the units digit of o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131376023, 262752042, 394128061, 525504080, 656880099, 788256118?\nAnswer: 919632137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2951346401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 0 - a**2 - 7 + 2. Let m be 6\/33 - (2 - (-40)\/(-22)). Let t be w(m). Sort t, -6, 3.\nAnswer: -6, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 133.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48760 and 79904.\nAnswer: 487014880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*f, 0*f - 2*f = -3*d + 17. Let h(b) = -2525 + d*b + 2525. Let n(l) = -11*l. Determine h(n(t)).\nAnswer: -33*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58737*g**4*s**3 - 22*g*s**3 - 975*s**3 wrt g.\nAnswer: -704844*g**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178296 divided by -969.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -1\/5669 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 30*g**2 + 98*g + 9. Suppose -300 = -10*a - 0*a. Is n(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 16, 2, -371197, 1 in increasing order.\nAnswer: -371197, 1, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Let f = r - -1. Let x = f - 5.2. What is the second smallest value in -3, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56.6 + 12.4. Let l = f - 68.6. Which is the second biggest value? (a) 0.2 (b) l (c) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.475512l?\nAnswer: 3475.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12*n**3 - 577*n**2 + 1146*n - 35. Determine u(46).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 87113 * -0.049\nAnswer: -4268.537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -469 + 312. Let g = p + 348. Suppose 4*s - 21 - g = 0. What are the prime factors of s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 66*k**2 - 11*k - 3453. Determine y(65).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -10.91. Sort -0.3, w, 1\/7 in descending order.\nAnswer: 1\/7, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 5*k + 9. Suppose -4*o = -j + 174, -k*j + 2*o + 578 = 4*o. Suppose -8*q - 2*q + j = 0. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-49) + 2\/(28\/(-106)). Is 0 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -db (base 16) to base 3\nAnswer: -22010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 222*y - 151. Is q(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/7 + 10*d**2\/7 - 2*d\/7 - 10\/7 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 441549 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2 + sqrt(13) + -2 - (sqrt(13)*1 + 5))**2.\nAnswer: -18*sqrt(13) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -17\/6, -25.\nAnswer: -25, -17\/6, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 969 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 36*r**4 - 10*r**3\/3 + 15*r**2\/2 - 7*r + 15. Let h be c(7). What is h rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 1 - 14*r**3 + 13*r**3 + 4*r - 2. Let n be x(3). Suppose 2*z + 1 = -h, 0 = 4*h - 4 - 8. Sort 4, z, n in ascending order.\nAnswer: z, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:17 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1165\/7 or 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -697, -698, -699, -700, -701, -702?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 633931.9 centuries in decades?\nAnswer: 6339319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58263 divided by 19421?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.39 - -28.37. What is the biggest value in -3, -16, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 4 (b) -2\/7 (c) -109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/3)*m**(-8) assuming m is positive.\nAnswer: m**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 632100812.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + -3 + 1 - 0. Calculate the highest common divisor of 186 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wffwfwwwwwff?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 5*f - 5. Suppose 2*m = 3*b - 13, 8*b = 4*b + 20. Let i be m\/(-2) + (-44)\/8. Let v be u(i). Solve -v = -5*g - 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34, 50, 66, 82, 98, 114?\n\"Answer: 16*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n**2 + 25*n - 71. Determine p(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.43966 litres?\nAnswer: 7439.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + -1000?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + f + 16 = -2*f, 0 = 4*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3)\/(338\/10 + -34) + -5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-15*21\/105.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35475\/2 - 17738. Let w(i) = -i**2 - 7*i + 1. Let z be w(-7). Suppose -z = -d - 0*d. Which is the closest to j? (a) 0.1 (b) d (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7*m = -680. Calculate the highest common factor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u. Let n(r) = 40*r - 3. Calculate n(y(j)).\nAnswer: -200*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**6\/60 + y**4\/4 + 8*y**2. Find the second derivative of x(a) wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 3. Let c be p*(-1)\/((-4)\/4). Let k = c - -9. Let z(s) = -s**3 + 5*s**2 - 2*s - 2. Give z(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**5\/60 - 58*i**3\/3 + 21. Let u(k) be the third derivative of g(k). Let p(s) = -s**2. Determine u(p(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -60. Find the common denominator of (-2)\/(-10)*(-13 - (-91)\/(-2)) and (-71)\/i - 2\/(-1).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 9:28 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**2 + 2. Let i(c) = -c**3 + 8*c**2 + c - 9. Let l be i(8). Give w(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 958001260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqn when three letters picked without replacement from {n: 5, q: 7, p: 7}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5608*v**2 - 5359*v**2 + 106007*v - 98041*v wrt v.\nAnswer: -21934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84 - (31 + -119)) + -24 + 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 2*q)*(787*q**4 + 4982*q**4 + 759*q**4).\nAnswer: 6528*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -652435 divided by 69.\nAnswer: -652435\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-14)*(-42)\/198.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 15, x: 5}. What is prob of sequence xxxo?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/(382415\/4499).\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1038\/(-12) - -2)*((-12)\/(-4) + -5). What is the highest common divisor of 52 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6405797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-910)*-15)\/(132\/4312).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1518.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/10364346 and -137\/384.\nAnswer: 663318144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 9 = 3*g + 2, 9 = -3*j + 3*g. Let c = -4 - j. Solve -2*z - c - 9 = s, -z - 5 = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5961b + 4?\nAnswer: -59617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1640964 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*u = -2*a - 494, -5*u = 15. What is a rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.19 + -16.69. Let w = 2\/13 + 5\/52. Which is the nearest to 2? (a) w (b) 9\/8 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 3*s - 3. Let h be (80\/24)\/(1\/(47 - -4)). Let u(x) = 55*x**2 + 85*x - 85. Give h*o(y) - 6*u(y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 450 - -46.1.\nAnswer: 496.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**2 + 12*t + 418. Let v = -12 + 6. Let r be h(v). What is the nearest to -1 in r, 2, 3\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(77) + (sqrt(77) - (sqrt(77) - -1*sqrt(77))) + sqrt(77) + sqrt(77))*4)\/(sqrt(1331)*1 + sqrt(11))*-5.\nAnswer: -10*sqrt(7)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 6*p. Suppose 0 = -s + 4*b - 2, 0*s - 1 = s - 3*b. Suppose p*m - s = -m. Solve 5*t - 11 = -m*d, d + 14 = 5*t + 4*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0 + 1\/24*j**4 + 1\/60*j**5 + 1\/6*j**3 + 2*j**2 - 1\/12*j**6 + 0*j. Determine a(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2*c)\/(c\/(c*c*c**(-1\/3))*c))**(-18\/5) assuming c is positive.\nAnswer: c**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1845 = -2*f + 5*v, 8*f = v - 2294 + 9731. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - q = 2*q + 34, -3*q = -6. Let j(z) = 6*z**2 + 9*z + 43. Is j(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 4, -371, 2 in decreasing order.\nAnswer: 5, 4, 2, -5, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -691088355 + -1.2.\nAnswer: -691088356.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -258*l + 72948. Give p(283).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1 + c - 10 + c**2 - 4*c. Let l be o(5). Let a = 0.39 + 4.61. What is the nearest to -2\/7 in a, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.3 and -1302.7767904?\nAnswer: 1304.0767904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-1*-3 + 4*2*sqrt(65))\/(-4*(sqrt(25)*-4)\/sqrt(5)).\nAnswer: 11*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -1\/57, 3?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmm when three letters picked without replacement from {m: 5, g: 2, b: 1, h: 1, x: 2, k: 2}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 + -83. Suppose -5*c - 19 = -3*p, 5*p - 3*c - 25 = k*c. Calculate the highest common divisor of p and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 395487237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*w**3\/7 - 59536*w**2\/7 + 3727750*w - 3937500.\nAnswer: 2*(w - 875)**2*(17*w - 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b52c0 (base 13) to base 9.\nAnswer: 2007308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -295, 1, 4, -13 in decreasing order.\nAnswer: 4, 1, -13, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/(-54))\/((-1)\/34). What is the greatest common factor of n and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*v - 0, -5*l + 51 = -v. Suppose 0 = 5*a + 5*i + 15, l = 2*i - 0*i. List the prime factors of 6\/a - (-492)\/16.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 - 0.03. Let y = n + 0.289956. Round y to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ku when two letters picked without replacement from {u: 7, k: 1, r: 2}?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6) + (-56)\/(-21))\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4375728, -4375730, -4375732, -4375734, -4375736, -4375738?\n\"Answer: -2*o - 4375726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 - 1 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 5*w**2 - 5 + (6*w + 0*w - 4*w)*(3*w - 3*w + w) + (-3*w**2 - 1 + 1)*(-1 + 3 - 1) in the form l*w + p + g*w**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oltttqtttotqqtql. Give prob of picking 2 o.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f - 50*f + 38*f + 37*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-142 - -154)*10\/(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -4, -0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232 - 16858 = 9*q. What is q rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -405203 (base 8) to base 9\nAnswer: -223435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12560*m + 957022 = -562738 for m.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {c: 1, s: 1, i: 3, b: 6, h: 1, r: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 1174.\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -17. Let r = 20 - p. Calculate the smallest common multiple of r and 13 + 1\/(-1) - 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 1025. Let k(y) = 13*y**2. What is k(f(l))?\nAnswer: 13*l**2 - 26650*l + 13658125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2293964 and 1548.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-417)\/423 + 1). Let k(f) = 3*f**3 - 6*f**2 + 2*f + 10. Let g be k(5). Let x = g - h. What is x rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 34*d**2 - 41*d - 142. What is the remainder when 543 is divided by r(-35)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 44. Let p be (-207)\/(-222) - n\/(-10). Let l = p + -565\/1221. Is 1 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 - -167. Solve -v = -2*u + u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 1566327?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 64 - t + 72 + 13*t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 302398 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: Expand (-4*a**2 - 5*a**2 + 5*a**2)*(-a**3 - 2*a**3 + 5*a**3) + (2*a**2 - a + a)*(2*a**3 - 3*a**3 + 3*a**3).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1144, -2754, -4834, -7378, -10380, -13834, -17734, -22074?\n\"Answer: d**3 - 241*d**2 - 894*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 1\/3 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(sqrt(8)*-1)*2)\/(-4*2*sqrt(10)*-1)*1)**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*q + q - 83 = 0, -3*z - 4*q = -244. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*i + 200 = -82*i. Let p(f) = 2*f**3 + 19*f**2 + 22*f - 13. Let k be p(i). Let l(b) = -b + 9. Let c be l(5). Put -5, k, -2, c in decreasing order.\nAnswer: c, k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-179 - (-3 + -1)). Let b = y - -470. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 7 = 3*u - 5*c, -4*u = 5*c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 678.1731 to the nearest integer.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-22)*-4*1\/(-2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 4*a**3\/3 - 5*a**2\/2 + 3*a. Let c(g) = -g**3 + 6*g**2 - 4*g. Let r be c(5). Is q(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, 12, -5, -0.06, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34281\/10 - -3431. Suppose -5*r = -3*r - 80. Let l = -116\/3 + r. Find the common denominator of l and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 9:39 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -221541*c. Let h(j) = -55*j**2. Calculate h(x(z)).\nAnswer: -2699422807455*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.10643 and 15731.\nAnswer: 15729.89357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*r - 6 + 697*r + 6 to the form a + u*r and give u.\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 - 0.33. Let j be 1\/(16\/20) - (-1)\/(-2). Which is the closest to -1? (a) t (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34415*o = -34423*o + 40. Solve 4*r = o*j + 27, 5*r + 10*j = 6*j + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, u: 5, a: 3, r: 1, p: 4}. Give prob of picking 2 a, 1 v, and 1 u.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 8*g**2 + 6*g + 7. Give o(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 23. Let p be z(-10). Suppose -o - p = -80. Suppose 5*a - o - 83 = 0. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/(m**(1\/5)*m)*m)\/m**(-4))**(5\/3)\/((m\/((m\/m**0)\/m))\/(m**(-6)\/m)*(m**(-1)\/m)**50) assuming m is positive.\nAnswer: m**(310\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/8 + 1065\/(-20). Let b = 212 - x. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 937, 466, -17, -518, -1043, -1598?\nAnswer: -2189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6160892 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 15 - 9. Solve d = -r*x - 10, 5*d + 17 = -2*x - 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86462636?\nAnswer: 2, 13, 37, 44939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*-1 + (-65 - -70). Solve p*v - i - i + 6 = 0, 3*v - i + 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 607, 1394, 2551, 4114, 6119, 8602?\nAnswer: 11599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/791 or -76\/7?\nAnswer: -2\/791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*(-3)\/(-6))\/1. What is the nearest to j in -2\/17, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/825 + 3862\/2475. Find the common denominator of z and 127\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -41. Which is the closest to 0? (a) 3 (b) l (c) -9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -33. Let w = m + -4. Let n = -5.9977 - w. Round n to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4 - 3*f**2 + 1 - 3*f + 1 - 4. Let g be n(-3). Let v = -5 - g. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072920104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11242570?\nAnswer: 2, 5, 691, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k. Let m = -390 + 23012\/59. Let x = m - 65\/177. Which is smaller: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -52*b + 49*b. Suppose 6*w = -0 - b. Let m be 2\/(-8) - ((-531)\/(-228))\/w. Is 2 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01082 - 0.013. Round d to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*y + 188, y - 2*p + 0*p = -79. Let r = y - -535\/6. Let l = -7.7 + 8. What is the smallest value in l, r, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157*s**2 - 2*s + 2*s - 197*s**2)*(-2*s**3 + 12*s**3 + 4*s**3).\nAnswer: -560*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4 + 23*k**3 + 41*k**2 - 23*k - 42 = 0. What is k?\nAnswer: -21, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2276\/3 - -773. Let h = r + -212\/15. Let w be (1632\/1360)\/((-16)\/(-10)). What is the second smallest value in h, 0.3, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29588906, 29588902, 29588898, 29588894, 29588890, 29588886?\nAnswer: 29588882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 - 137 + 256 + 26*u.\nAnswer: 26*u - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262197*a**4 + 2*a + 10705 wrt a?\nAnswer: 3146364*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((3*4*-1*sqrt(136)*-2)\/(1*sqrt(128) + sqrt(64)\/(sqrt(8)*3)))**2.\nAnswer: 88466\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in minutes?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 17*q**3\/3 - 366. Let d(c) = 0*c**2 + c**2 + 0*c**2. Determine d(g(s)).\nAnswer: 289*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1.1780655\nAnswer: 1.1780655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124348032.\nAnswer: 2, 3, 107941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262274?\nAnswer: 2, 71, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25112 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191706 > 191710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 29*k**2 - 181*k - 188. Is j(-63) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 23590*z + 13849440.\nAnswer: -5*(z - 528)*(z + 5246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*g + 8. Let v = 7 + g. Suppose 0 = -v*c + 3*c + 15. Solve 16 = -c*i + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 0, -105 in increasing order.\nAnswer: -105, -73, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 817 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 8*c - 9. Let a be z(-6). Suppose -5*n = -3*v - 0*v - 87, -4*n = -v - 71. Factor n*p**a - 258 - 22*p**3 - 242 - 300*p - 60*p**2.\nAnswer: -4*(p + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845916*i + 171 = -845920*i - 5*s, 6*i = -s - 289 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Solve 3*t - b*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-5))\/(-1 + 4). Suppose o = -6*l + 9*l + 21. Is 22\/(-5)*(l + -3) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - (-10 - (-45 - 37)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7525\/1403 > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-3) - (-2)\/(-6). Let m be (n\/(-4))\/((-2)\/(-8)). Let f be (-48)\/m - (-1 - 1). Calculate the greatest common factor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16648, 4, -0.134, 2.\nAnswer: -16648, -0.134, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*a - 82*a - 87*a - 73*a)*(2 - 2 + 2) to the form x*a + n and give x.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 828\/180 + (-2)\/(-5). Suppose 0 = -3*r + 5*j + b + 4, 4*j = -4*r + 12. Solve i - r = -k, -2*i - 2*i = 5*k - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 35239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide -390*6\/48*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(2\/11)\/t)*t*(((t*t**3*t)\/t)\/t*t)\/t)\/(t**0)**(-44))\/((t\/(t**(-1)*t))**(6\/13)\/(t\/t**(-1)*t)**(-11)) assuming t is positive.\nAnswer: t**(-3953\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1843084.\nAnswer: 2, 460771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-3))\/1 + 9. Does 20 divide (-16)\/(-40) + 233\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(90\/(-6)))\/((-5)\/25)*748\/(-44).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5157a2 (base 11) to base 3.\nAnswer: -1120001010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 299647*t - 4 + 2 - 299776*t. Let d(l) = 2*l**2. Give z(d(r)).\nAnswer: -258*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2857*g - 36149*g - 214264*g.\nAnswer: -247556*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -15 + 35 - 20 - 2*b. Let u(c) = -c - 3. Let w be u(-5). Let i(r) = -r**w - 3*r**2 + 2*r**2. Determine d(i(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.05 - -0.05. Let t be (-4)\/(-12)*(-19)\/5. Let f = t - -239\/165. What is the closest to 1 in f, 1\/9, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30311001 (base 5) to base 2.\nAnswer: -111011101100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 920 + -855. What is the highest common factor of 416 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - 1 - -8) + 9\/(-5). Let m be ((-15)\/12)\/5*-4. Which is greater: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17, 48, 99, 170, 261, 372?\n\"Answer: 10*q**2 + q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**3\/3 + 23*s**2 + 3*s + 4. Let x be f(-23). Suppose -3\/4*p + x*p**3 + 3\/4*p**5 - 3\/2*p**2 + 3\/2*p**4 + 0 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24535249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -n + 5*w - 0*w, -5*n + w = -13. Suppose 3*k + 8 = 5*r, 2*r = -n*k - 2*k - 3. Let t be (1 - 0)\/(r + 0). Which is smaller: t or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w - 3. Suppose 4*n - 5 = 5*j - 0, j - 13 = -2*n. Give l(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 + -6 + 3)*(-11835000)\/(-6). Round v to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -20165c98?\nAnswer: -20165c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-42)\/(0 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16418617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6083205377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82611610 divided by -2.\nAnswer: -41305805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -102*y**3 - 2*y - 3. List the prime factors of t(-1).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5320, -11061, -17232, -23833?\n\"Answer: -215*f**2 - 5096*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from dwddsvfdwsdsw?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -33 + -35 - (-2 + 3 + (8 - (-6 + 9)))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(30)*1)\/sqrt(6))**2 + 3 - (-1*sqrt(45) + -4)**2).\nAnswer: 53 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 4, o: 1, z: 3, p: 8}. What is prob of picking 2 z?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.491 - 0.0644. Round a to 2 decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.4. Let d be (-6)\/27 + 256\/18. Let h be 1\/(-4) - d\/(-24). Which is the smallest value? (a) z (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 147\/1633456?\nAnswer: 147\/1633456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-2880)*-8)\/(2\/(-6))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 8:46 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963542, 963540, 963536, 963530, 963522, 963512, 963500?\nAnswer: 963486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33\/(-24)*-18*(-2 - -6) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*r - r + 6 - 5 in the form x + i*r and give i.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, 4, 8, -2\/11 in ascending order.\nAnswer: -2\/11, 4, 8, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and (-6)\/(-8) + 750\/24?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000772276 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-1125))\/((-15)\/50)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((36\/15)\/(-2))\/2. Which is the biggest value? (a) -2\/5 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1241 - 420230?\nAnswer: -422021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/15 + 28\/(-70). Solve k*p = -p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 821 - 819. Solve 2*j = 5*g - 21, 6*j - 2*j + k = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*m - 85 = 8*m, 0 = 5*u - 5*m - 140. Let w be (9\/(-7))\/(84\/(-588)). What is the greatest common factor of w and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/7)*p**(-1\/7)*(((p\/(p\/((p\/p**3)\/p)))\/p)\/p)\/p**5 assuming p is positive.\nAnswer: p**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 33 (c) 1\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6928, 7984, 9040, 10096, 11152, 12208?\n\"Answer: 1056*f + 5872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 5:30 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112010112021 + -1112200?\nAnswer: -112012001221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 15, 0.4, -3.32, -2 in descending order.\nAnswer: 15, 0.4, -2, -3.32, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33307 + 33336 + s**3 - 66643.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8176944*q**3 + 6*q**2*r**2 - 7*r**2 + 11529466*r wrt q.\nAnswer: 24530832*q**2 + 12*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 17746?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 19*h - 346. What is w(18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 641952324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.9827 - 0.22566248.\nAnswer: -31.20836248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91? (a) -15\/13 (b) 3\/7 (c) -3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/22428 and -145\/134568.\nAnswer: 134568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 + (1 - 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 466391192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**6\/96 - 5*b**5\/48 + 35*b**4\/96 - 5*b**3\/8 + 10*b**2. Factor a(p).\nAnswer: 5*(p - 3)*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/378)\/(106\/4293)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 1602?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 6 = 24*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -988*x - 8 + 66*x**2 + 1 + 994*x. Let l be y(2). Suppose -l - 31 = -2*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-8)\/258)*4. Is l\/(-4) + (-6)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, g: 4, o: 3}. Give prob of sequence ogok.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 76, -27, 62, -5\/4, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, -23, -54, -99, -158?\n\"Answer: -7*w**2 + 4*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770409 is divided by 770408.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooossosm. What is prob of picking 1 s and 3 o?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - 6021?\nAnswer: -6068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2. Let u = -114 - -116. Let m(x) = 3*x**2 + 0*x**2 + 2*x**2 - u*x**2. Determine -7*i(w) - 3*m(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by 6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 48.7 (b) -2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 125444*w**2 + 35*w - 2. Is o(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 275725945 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbg when three letters picked without replacement from sgebosg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829139 is divided by 853?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6279170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406560 and 451290?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260376 is divided by 86775.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 91\/(-245) + (-3)\/15. Let b = -1 + 0. Is o != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okb when three letters picked without replacement from {b: 3, o: 1, q: 1, j: 5, z: 6, k: 4}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d - 8. Let r(n) = 7*n - 7. Let f(h) = -7*r(h) + 6*v(h). Let b be -2 + (0\/(-4) - -4). Give f(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -h + 509969, -3*z + 764951 = 703*h - 701*h. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 5 + 2*q - 5*q. Suppose -t + 54 = 50. Let p(f) = 1. Let n(y) = -y**3 + 9*y**2 + y - 8. Let g be n(9). What is g*m(k) + t*p(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (123\/(-369))\/(-2*1\/1506)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 10) + -4 + -11 + 18 + 0\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90360650?\nAnswer: 2, 5, 1807213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*f + 3. Let s be 3\/(-2)*2\/(-3). What is the second smallest value in s, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*z - 36*z + 6*z + 33*z**5 + 6*z wrt z?\nAnswer: 660*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 91*j - 45 = -96*j, -4*j + 60 = 5*y + j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 136. Suppose -z + 147 = 5*c, -27 = -5*c - 2*z + s. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 + q - 5. Let j be b(3). Let u = j + -16. Solve 0 = 2*d - u*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3491292 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20505 - 170?\nAnswer: -20675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + z + 202 + 77, -5*z = -2*p + 543. Is p - -5 - (-8)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416206 is divided by 4242.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1982\/3 + 661. What is the third smallest value in 2, k, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v - 3*v - v)*(4 - 4 - 2*v) + (-v - 2*v + v)*(-3*v + 7*v - 2*v) - 3*v**2 + 5*v**2 - 4*v**2 in the form q*v**2 + t*v + m and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 + -331*20\/30. Let c = q - -821. List the prime factors of c.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:06 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/17 + ((-6534)\/14790)\/1 and 58\/95?\nAnswer: 2755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1206 + 1256. Solve n*l - 49*l - 5 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**3 + 2*j**2 + 3*j - 13. Let u(t) = -t**3 - t + 1. Let f(r) = r**3 + 13*r**2 - 35*r - 76. Let c be f(-15). Give c*a(k) - 3*u(k).\nAnswer: -k**3 - 2*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 377.47 - 776.34. Let c = -400.6 + 7.6. Let n = o - c. What is n rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6854146 decades to centuries.\nAnswer: 0.06854146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2161, -3701, -5231, -6745, -8237, -9701, -11131, -12521?\n\"Answer: h**3 - h**2 - 1544*h - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393, 834, 1343, 1932, 2613, 3398, 4299, 5328?\nAnswer: 6497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4301\/2 + -2102. Find the common denominator of -37*(-2)\/(0 - -6) and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from cnncchacuh.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1066*g - 9600 = -45844 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 1 + 17. Let b be 1*3 - (-1 + q). Let f(m) = -2*m**2 + 3*m - 5. Let v(t) = 6*t**2 - 10*t + 16. What is b*f(z) + 3*v(z)?\nAnswer: -2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 14) to base 16.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 4253*r**6\/30 + 3155*r**3\/6 - 2*r + 443. Find the second derivative of j(c) wrt c.\nAnswer: 51036*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(200\/10))\/((5\/10*-4)\/106).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3352, 4031, 2038, -2627?\n\"Answer: -1336*f**2 + 4687*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1162022)\/(-1532)*(-2)\/(-41)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-10 - -11) + (-1 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4532 greater than or equal to 13.1157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000131442 rounded to 7 decimal places?\nAnswer: 0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-68)\/(-272) - (-42)\/(-8). Let g(w) = -40*w - 198. Let a be g(p). Let o = -1 + 3. Solve -o*d + a = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3 + 0*y + 0 + 2*y. Suppose 0 = -v - 2 - 1. Let b be (-1)\/(-2) + v\/(-2). Give o(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*k + 5, -3*a + 13 = -5*k + 3*k. Suppose -4*w - 3*u = -219, -a*w - 2*u = -4*w - 61. Let b = 90 - w. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**3 - 981*s**2 - 532*s**4 + 2453*s**2 - 169*s**4 + 0*s**3 wrt s.\nAnswer: -16824*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1699\/231 + 43\/7. What is the common denominator of c and -47\/6444?\nAnswer: 70884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46501 and 737646?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27477364 by 5.\nAnswer: 27477364\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -59*m**4\/6 - m**3\/6 + 11*m**2\/2 + 2*m - 132. Find the second derivative of k(d) wrt d.\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 4*z**2 + 12*z - 4. Let o be a(-6). Let l = o - -9. Suppose -4*k = 2*y + 159 - 551, l*k = -2*y + 390. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 8. Let c(l) = l + 1. Determine -24*c(w) + 3*o(w).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 0*l**5 + 16*l**2 + 0*l**4 + 1\/105*l**7 + 37\/20*l**6 + 0 + 3*l - 11\/3*l**3. What is the first derivative of x(w) wrt w?\nAnswer: 8*w**3 + 666*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 o when four letters picked without replacement from {g: 8, k: 5, o: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50888545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 0)*(0 + 1)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1808 - -10324077.\nAnswer: 10322269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -65699.\nAnswer: -65696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34610.48 nanometers in micrometers?\nAnswer: 34.61048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(120) + sqrt(120) + sqrt(120) - sqrt(120))\/sqrt(12))\/(sqrt(16)\/(sqrt(32)\/sqrt(4))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 0 + 0*u**2 - 8\/135*u**6 - 1\/3*u**4 + 7\/30*u**5 + 1\/189*u**7 - 79*u + 0*u**3. Factor s(m).\nAnswer: 2*m**2*(m - 3)**2*(m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 7.6 (b) 0.2 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/27 - (-2)\/9. Sort z, -5, -1\/2 in ascending order.\nAnswer: -5, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3892 - 11190 = 0. Is (h\/(-2))\/((-7)\/14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1280, 1276, 1270, 1262, 1252, 1240?\nAnswer: 1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m - 1. Let j be s(-12). Let f = j - 42. Let k = 456\/7 - f. What is the closest to -1 in 0, k, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72555 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4 + 16664*k**3 + 803328*k**2 + 9653760*k = 0.\nAnswer: -24, 0, 8380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 969.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o*w**3 + 428*o*w**2 + 83493*o + 8740931*w**3 wrt w?\nAnswer: -18*o + 52445586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*l + 37*l + 12354 = -21032 + 4266 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**4\/12 - 5*j**3\/6 + 5*j**2 - 6*j - 3. Calculate y(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001354541 to five dps.\nAnswer: 0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (35 - (58 - -5)) - 22.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-20)\/75*(-35)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 8701. Let g(u) = 7*u. Determine q(g(n)).\nAnswer: 7*n + 8701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-18) + 5\/3. Let f = 0 + y. Find the second derivative of -3*j**f - 11 - 2*j + 11 wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/1568 and 79\/18.\nAnswer: 14112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7008959?\nAnswer: 79, 88721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 25?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 11*q - 16. What is m(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11376 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + 35 - 11) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*m + 5 = -2*q, 2*m - 15 = -3*q. Suppose 5*y - f + 4 - 14 = 0, -y - 3*f = -2. Which is the third smallest value? (a) y (b) q (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 14. Let u(i) = i**3 - i**2 - 3*i**w - 3*i - 3 + i**2 - 3*i**2. Calculate u(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*t + 855641 = -704059. Calculate the least common multiple of t and 10.\nAnswer: 34660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -55*((-48)\/15)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6557 - 6551. Let k(u) be the second derivative of 7\/2*u**3 + 0 + 21*u + v*u**2 - 3\/20*u**5 + 1\/2*u**4. Factor k(y).\nAnswer: -3*(y - 4)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -242\/603? (a) -1 (b) 0.05 (c) 2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, u: 3, q: 1}. What is prob of sequence uu?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -2303?\nAnswer: -6\/2303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 - 3a37?\nAnswer: -3a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 22 = r, 5*w = 3*r + 8 + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {c: 2, y: 6, m: 7}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u - 21. Give w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 28*f - 92. Let p be n(8). Which is the nearest to 2? (a) 0.5 (b) 0.032 (c) 5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -101?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 plus -0.077?\nAnswer: 10.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*u - 12. Suppose -3*j - 21 = -5*o, o + 3*o + u*j - 6 = 0. Suppose -o*q + 202 + 86 = 0. What is the greatest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(2) + (sqrt(2) - sqrt(4)\/sqrt(2)) + sqrt(2)))\/(sqrt(2) - sqrt(32)\/sqrt(4)) + -5.\nAnswer: -5 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Suppose -10*y + 6 = -8*y. Let d be y\/(77\/18 + (-10)\/(-45)). What is the closest to d in 0, 3, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2. Let c(i) = -161*i**2. What is -3*c(y) - 168*t(y)?\nAnswer: 147*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 10 + 2. Let t be 2\/(-8) - 858\/p. Let d be t\/4 + 1\/4. Solve -3*g + 17 = -4*a, -4*a + 2 = 5*g + d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2 + 1053*l + 1050 = 0.\nAnswer: -350, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yee when three letters picked without replacement from dyeeyyeeedeedeeede.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = d + 4*n, -d + 3*n + 7 + 11 = 0. What is the greatest common factor of 21 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 4*b + 117 - 19, 5*b = 3*o + 44. Let p(v) = -v**2 - 19*v - 23. Let h be p(o). Sort -1, h, 186 in descending order.\nAnswer: 186, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*m**3 - 6601*m**3 - 6507*m**3 - 546*m**3.\nAnswer: -13723*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21073 and 0.44?\nAnswer: 21072.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2592\/20 + (-6)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 21*v - 22. What is n(5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 695244672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {s: 2, l: 1, w: 1, j: 1, c: 1, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 938*q**4 + 2785*q**2 - 2*q + 1. Let v(k) = -940*k**4 - 2790*k**2 + 3*k - 1. Let i(y) = -5*f(y) - 4*v(y). What is the third derivative of i(z) wrt z?\nAnswer: -22320*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -18*o**2 + 2077*o + 1197. What is q(116)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 + 4*a**3 + 6*a**2.\nAnswer: -2*a**2*(a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 6*a**2 - 3*a**2 + (0*a + 0*a + a)*(2*a - 2*a - a) + 2*a - 2*a + 2*a**2 + (2 + 2*a**2 - 2)*(3 - 3 + 2) + 2*a**2 - 4*a**2 + 4*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2483*g**3 + 6*g**2 + 60*g. Let j(r) = 3510964*r**3 - 8483*r**2 - 84830*r. What is -8483*d(w) - 6*j(w)?\nAnswer: -2495*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(162) - -1*sqrt(162)) + (sqrt(162) - (1 + sqrt(162))*2))*-2*2*1)**2.\nAnswer: -576*sqrt(2) + 2656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 1. Suppose 0 = 5*x, -5*c + 4*x - 3 = 2. Let w be z(c). Suppose w = -3*l + l + 38. What is the least common multiple of l and 7?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 850 + -85854\/101. Let w = l + -275\/707. What is the nearest to 0.8 in -2\/17, 2\/9, w, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/24)\/(2\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1415\/4272 + -5\/267. Let m = p - 9\/16. Which is the closest to m? (a) 0.2 (b) -2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from {t: 2, u: 2, x: 4, r: 2, z: 3, q: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 78625.16 and -2?\nAnswer: -157250.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**4\/3 + 188*m**3 - 1440*m**2 + 8512*m\/3 = 0.\nAnswer: 0, 4, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*-2*(-36)\/144.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2. Let n(i) be the third derivative of -5\/12*i**4 + 0 + 0*i - 2*i**2 + 0*i**3. What is n(a(d))?\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -7*a**3\/3 - 9*a**2\/2 - a - 5735. Let y(c) = -3*c**2 - 4*c. Give 4*t(j) - 9*y(j).\nAnswer: -j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3. Suppose 5*q + w = 11. Factor 11*n**2 - 8*n**3 - 13*n**2 + 4 - 10*n - 20*n**q.\nAnswer: -2*(n + 1)*(n + 2)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-2)\/(-3)) + (-348)\/18. Let h = v + 28. Suppose -h*t = -5*t - 780. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -35 + 5. Let o(p) = -5*p**3. Let v be o(-1). Is ((-56)\/l)\/(1\/v) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2295 and 115\/8262.\nAnswer: 41310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 3. Let r(k) = k - 2. Let j(q) = -3*c(q) + 4*r(q). Let f be j(-1). Suppose f*i + 19 = -2. Does i = -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjijicjyikc. What is prob of sequence cc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 20. Let f be (-2)\/4*2*5. Let q = k + f. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(1\/2))**(-2\/17)\/(q**4*q)**(-2\/15))**(-3\/5))**(-4) assuming q is positive.\nAnswer: q**(20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022220210010 (base 3) in base 13?\nAnswer: -627618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 6976.961.\nAnswer: -6976.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**3\/3 - n. Let t be 2 - 1 - (2 - 3). Let m(p) = -p + 5*p + t*p - 3*p. Give c(m(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 114?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-10)*16\/(4\/(-1)). Let r be ((-2)\/(-2))\/(13\/84*k). Is 3 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 9*o - 7. Let j(r) = -1. Let s(n) = 5*j(n) + k(n). Let g be s(5). Suppose -g*f = -11*f + 3. What is the smallest common multiple of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99560 (base 10) in base 15?\nAnswer: 1e775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 17*k + 5 = 0. Let j be 4 - k - (-1 - 0). Solve -3*m + 0*m - 3 = j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1993? (a) 0.19 (b) -5 (c) -52 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-6)\/b*b*(b\/((b**(-2\/7)*b)\/b))\/b*b**5*b*b**(2\/3) assuming b is positive.\nAnswer: b**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 157*s**6\/120 - s**5\/12 + s**4\/24 - s**3\/3 - 247*s**2. What is the hundreds digit of c(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -169, -2\/13, -4575\/2, 29?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-39)*1665\/4625*14\/((-70)\/(-75)).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 8:47 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/2))\/a)**29\/(a\/(a*a*a\/(a*a**(-2))))**34 assuming a is positive.\nAnswer: a**(175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/3 + 1)*9. Suppose 3*a = 6*a - 5*d + 4, f*d = 6. Let j be (-5 - -4)*a\/(-18). What is the smallest value in j, -2\/11, 0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 8. Let v be 1\/h - (-230)\/(-8). Let l = v + 115\/4. Which is the nearest to -0.1? (a) l (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/51054 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69\/44 + -7\/4. Let b = -0.8 + 0.6. Sort b, l, 2 in decreasing order.\nAnswer: 2, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1395)\/1240*9\/54?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l + 24. Let o be m(3). Suppose 5*a - 10 = o, -4*u - 4 = -6*u + 3*a. Solve 3*r - 7 = 4*p, -p = 5*r - u*p - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**2 + 9*l - 1. Let d(p) = 14*p**2 - 26*p + 4. Suppose -18 = -35*i + 38*i. Let x(u) = i*d(u) - 17*n(u). What is x(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12\/25 (b) 68 (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-843)\/562)\/(2\/(-32)*-2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 211f + 21?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3417875 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 96*s + 97. Let y(z) = -289*z - 291. What is -7*c(j) - 2*y(j)?\nAnswer: -94*j - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -53 (b) 12\/11 (c) 2 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1255 or -1?\nAnswer: 2\/1255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:29 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 16 + 17*x**3 - 13*x + 18*x**3 + 3*x**2. Let f be q(8). Round f to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 218658 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -8 + 8 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-585)\/(-50))\/(-13)*-2*((-1160)\/12)\/29?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 1:21 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-27))\/5*(-24)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*g**3 + 8*g**3 - 16*g**3)*(-14 - 17 + 10*g + 30).\nAnswer: 1030*g**4 - 103*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 61*x**2 - 143*x + 2801. Give q(-58).\nAnswer: 1003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (6*1\/(-5))\/(60\/(-700)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 9. What is the third derivative of -y - s*y**2 - 601*y**3 + 598*y**3 + y wrt y?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 10*l**5 - 741964*l**4 - 1187216*l**3 + 3561440*l**2 + 4748704*l - 2374336 = 0.\nAnswer: -2, 2\/5, 2, 74198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1627 - 641 = -158*b + 260 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 13. Let x be c(-8). Let a = 41 + x. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpwuphnpsuphp. Give prob of picking 1 u, 1 p, 1 s, and 1 n.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6\/11)\/g*g*g\/g**(-1\/5))\/(g**(-1\/3))**(1\/4))\/(g**(7\/3)\/(g**0*g)*(g\/((g\/g**1)\/g)*g)\/g**(-6)) assuming g is positive.\nAnswer: g**(-2111\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 293668632 and 18?\nAnswer: 293668632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -595\/4 + 148. Let s(k) = 3*k + 10. Let v be s(2). Suppose -15 = -3*x - 4*w, -3*x + 7*x + 4*w = v. Which is the smallest value? (a) n (b) x (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 13 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a hour in minutes?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.3 and -0.14?\nAnswer: -0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 35002 = -956*r for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/14*24\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9575.\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 3*h. Let p be g(-1). Let q be (-15 - (p - 3))\/(-2). Let c = 11 - 8. Solve 0 = -c*t + q - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2700)\/(-5850)*1\/1.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by (-4 + 644\/(-16))*(-16)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -811\/29 - -13729\/493. What is the fourth biggest value in 0.01, 0.2, 17\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:27 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*n**2*w**3 - 5*n*w**3 - 2*w**3 wrt n?\nAnswer: -86*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250, -502, -754, -1006?\nAnswer: -1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -147, -5, 4, 1, 11 in descending order.\nAnswer: 11, 5, 4, 1, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 100887 (base 10) to base 4\nAnswer: 120220113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2\/(-10)*-1). Suppose 3*z - 5*c = -22, 4*c - 42 = z - 30. Sort x, 0.3, z, -1.\nAnswer: z, -1, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 1)*(-1)\/1. Suppose 0 = -3*v - c*v. Let w = 2 + v. Solve -a = -w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -920*f**2 + 1611*f - 691 = 0.\nAnswer: 691\/920, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, h: 3}. Give prob of sequence hnhn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 5303*z + 5303*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/o*o\/(o*(o*o**(1\/4)*o)\/o*o))\/(o**(-1\/3)*o**(2\/7)) assuming o is positive.\nAnswer: o**(-521\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**5\/30 + 13*x**4\/12 + 29*x**2\/2 - 6*x + 4. Let p(m) be the first derivative of l(m). Find h, given that p(h) = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a813a - 4?\nAnswer: a8136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 2\/7*w**3 - 11\/84*w**4 + 0*w + 1\/35*w**5 + 0 - 1\/420*w**6 - 39*w**2. Factor a(f).\nAnswer: -2*(f - 3)*(f - 2)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*h**4*y**2 - 8*h**4*y - 22*h**2 - 9*y**2 wrt h.\nAnswer: -480*h*y**2 - 192*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 1725247?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.083 + -3.083. What is the second smallest value in -1\/25, 2\/21, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -12. Suppose -4*i + h*i = -5. Which is the third biggest value? (a) 2\/19 (b) i (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7018313 to the power of 1\/2, to the nearest integer?\nAnswer: 2649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27001358?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**14)**(-9) assuming o is positive.\nAnswer: o**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-2)*6*25\/(-225)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26661 - 26307. Solve f = h + 345 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12438, 3, -2 in decreasing order.\nAnswer: 3, -2, -12438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from haaayuqah?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.158 * -3.2.\nAnswer: -0.5056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 58. Calculate m(-20).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = -1. Suppose -3*u + 4*u = -3*y + 13, -5*y = -u - 27. Let n = m + y. What is the highest common divisor of 14 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 22 - 1)*(-p + p - 2*p)*(0 - 1 - 3).\nAnswer: -456*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 49*p**2 + 210*p - 109. Calculate w(-53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -5 - 7. Suppose -i + 4 = -n. Suppose -i*m = 1447 + 629. What is m rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 854194?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**2 + z**2 + 0*z**2)*(-16*z**2 - 8*z**2 + 43*z**2) - 18*z**4 - 2192*z**2 + 2192*z**2 to x*z**2 + p*z**4 + l*z**3 + i*z + c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -460133 (base 10) to base 13\nAnswer: -13158b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1785020587085.38+6\nAnswer: 1785020587091.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05343843617 and 33.5.\nAnswer: 33.55343843617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -k - 4*c, -7*c + 5*c = 4*k - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r - s - 4, -2 = r - 4*s. Let f be (5 - 3)\/((-2 - -3)*r). What are the prime factors of (-123)\/9*-3 - f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hce when three letters picked without replacement from {e: 2, h: 1, c: 4, d: 1, o: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c - v = -49*c - 8, 3*v - 47 = -5*c - v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39720557 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*a**2 + 6*a**2 - a**2)*(-4*a - 5*a + 0*a).\nAnswer: -27*a**3 + 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-three tenths of a kilometer?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 + 22122412?\nAnswer: 22122311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -15, t = 2*y - t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 391 and 935037400.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2752*h*n - 10790*h - 1794*n - 9717 wrt h.\nAnswer: -2752*n - 10790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 21*b = -216. Is -198\/31 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137\/33996 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/(-75))\/(40\/(-40)*3\/1)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1394675.01199932 - 1394710.012. Let v = 72 + -37. Let p = v + w. What is p rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 = -23*t - 148. Let x be (5\/(-3))\/((-3)\/108). Calculate the greatest common factor of t and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9482341, 9482342, 9482343, 9482344?\nAnswer: 9482345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 311 * -643.\nAnswer: -199973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 627202334 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 9) in base 10?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Let u be -3*3\/((-3)\/1). Which is the nearest to i? (a) u (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83638760 by 4.\nAnswer: 20909690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 10 = -f - 5*z, -f - 5*z = 0. Suppose 0 = -a + f*a - 40. Let t(x) = 2*x - 8. Let p be t(a). Calculate the greatest common factor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*0\/11. Suppose z*k - 2*x - 23 = -3*k, 0 = 5*x - 10. Let m = -4 + k. What is the remainder when 12 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (338 + -331 - (-3 + -1 + 1) - 3) + -56?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 6190653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*o = -918, 95*f - 306 = 94*f - o. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -9 + -44 + -40?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 16, 25, 34?\n\"Answer: 9*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**4 + 214*r**3 - 3379*r**2 + 5910*r = 0.\nAnswer: 0, 2, 15, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.737 - 0.737. Put -1\/2, 2, -2, u in descending order.\nAnswer: u, 2, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16 and 2316?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 111010010100110000?\nAnswer: 111010010100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*(-2 - 33\/6). Let o(c) = -c**3 + 6*c**2 - 2*c + 6. Let p be o(4). What is the highest common factor of i and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 3.3059?\nAnswer: -2.9059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2988 = 441*y - 8478 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11804*-3.36\nAnswer: -39661.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 25*g - 84. Let p be y(5). Let t(k) = -8*k - 65. Determine t(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 3*l - l + (3*l + 2 - 2)*(4 - 5 - 1)*(0 + 6 - 1).\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2835.585898 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10223 (base 5) in base 4?\nAnswer: -22300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74*-0.32.\nAnswer: -23.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12399 = -2*j - 20*j - 13653 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 less than 94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(320)*-2*-4)**2.\nAnswer: 81920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/22*(-8)\/(-6). Suppose 2*x - 32 = f. What is the remainder when x is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(28)*6 - sqrt(3388)*-1)\/((sqrt(220)\/(sqrt(25)\/sqrt(5)))\/(sqrt(77)\/(sqrt(7) - 3*sqrt(7)))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 21*f**4\/2 + 13*f**3\/3 - f**2\/2 - 62. What is the third derivative of u(w) wrt w?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*g**2 + 0 + g**2 - 3*g**2 - 2*g**2 + (-4*g + 3*g + 4*g)*(-6*g + 13*g + 27*g).\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/25371 - 8455\/25371. What is the fourth smallest value in t, 0, 15\/8, -2\/11?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 16*t - 1)*(-20 + 54 - 139).\nAnswer: 1680*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -125.6 and -77.91682.\nAnswer: -203.51682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 13 + -1 - (63 - (-9 - -32)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 9) to base 16.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-4\/5)*l)**18\/(l**(-5))**(2\/5))**(1\/14) assuming l is positive.\nAnswer: l**(176\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 54*n**3 - 2*n**2 - 3*n - 7. Let t be y(-2). Let p = t + 758. What is the remainder when p is divided by 157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/5190 and -163\/3600?\nAnswer: 622800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-2*-4 - (-2*sqrt(119)*2 + sqrt(119)))\/(sqrt(14)\/sqrt(2)*6 - (sqrt(112) - sqrt(112)*-2)).\nAnswer: -11*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30 and 104.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xudusgi. What is prob of picking 1 i and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) -42 (d) 0.5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b (base 14) in base 7?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 * 5\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 479 - 71 = -32*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -961955 and 0.8.\nAnswer: -769564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 3695. Let s be j(0). Let d = s + 22229\/6. Calculate the common denominator of 77\/8 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2. Let r(m) = 146157*m**2 - 2. Determine r(g(y)).\nAnswer: 584628*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -2\/59, 3729 in increasing order.\nAnswer: -5, -4, -2\/59, 3729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.052818 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 137200 divided by -9800\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272075240?\nAnswer: 2, 3, 5, 181, 58567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + 5 + sqrt(180)*-1 + sqrt(180)))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132 + -205?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 273036745041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97342 - -97275.037. Let f = -12970 - -13037. Let o = f + n. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d - 4. Calculate l(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 12 = -5*l + 7, 2 = l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25506 and 26160?\nAnswer: 1020240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 5*w - 9. Let x be 360\/32 + ((-15)\/4)\/w. Let b be 6\/(-18) + 220\/x. What is the highest common divisor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4 - 6. What is the least common multiple of u and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (6\/8*4 - 1). Suppose o = -d - v - 0 + 3, 5*v + 33 = 3*d. Let s be d + -1 + 0 + 5 + -2. Which is smaller: 9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 398*a*y**2 - 4501*a*y + 84*a + 2*y**2 + 723871 wrt y?\nAnswer: 796*a*y - 4501*a + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(12 + -3 - 2). Suppose -2 = -3*k + 2*o, 2*k - 4*o = -o - z. Solve -k*m + i + 5 = 0, -2*m + 5*i - 16 + 5 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -407*p + 2886. Determine t(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*n + 3 = 2*x + 450*n - 0, 0 = 2*n - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 283*x + 12. Let g be -7 + 2 + 3*1\/(-3). Let p be a(g). Is (-4)\/10 + p\/(-15) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2899*a + 20224. Calculate z(-7).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 30*y - 3113. Let z be d(110). What is the greatest common divisor of z and 6919?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 8*w**2 - w + 18. Let n be d(8). Solve -n = -2*o + 7*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008480666 to five dps.\nAnswer: -0.00848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1750119 millilitres to litres.\nAnswer: 0.0001750119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2057) + 2 + -5 + 3.\nAnswer: -4 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-5) + (-3)\/5. Suppose -3*f = -f - z. Let l be 16\/54*(-6)\/(-8). Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2262*j - 15926 = 2258*j - 3*q, 19942 = 5*j - 2*q. What is the remainder when j is divided by 50?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*i = 229*i - 534. Let x = -88 + i. Which is smaller: 39\/23 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckddm. Give prob of sequence ck.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/3 (b) 2 (c) -4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3995 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9516432227069 and -0.3?\nAnswer: 9516432227069.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*(-15)\/(-75)*-15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -8, 5, -2 in ascending order.\nAnswer: -20, -8, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 462757538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40680 + -135180. Round n to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 121*r - 2204. Let m be h(-16). Let f(g) = -11*g - 122. What is f(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6884 or -6886?\nAnswer: -6886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081362850?\nAnswer: 2, 5, 2069, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1) + -8*56\/(-160).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (3 + 93\/(-6)))*2. Suppose v = -l - 4*n - 18, -4*n = -5*l - 215. Let i = -41 - l. Solve f - i = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - 2*f**5 - 133*f**3 + 133*f**3 + 2*f**5 - 2*f**5 - 3*f**5 + f**2 + 3*f**5 - f**2 + (-2*f**3 - f + f)*(-4*f**2 - 2*f**2 + 3*f**2).\nAnswer: 4*f**5 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*k = 9 - 1, 3*m + 2*k - 14 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 6:44 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 23. Suppose 2*i = -3*o - 35, 3*o + 3*i = 2*o - 7. Let k be 0\/(-1)*o\/(-26). What are the prime factors of t(k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 973966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45270 by 3.\nAnswer: -15090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4167853 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2992 + 2998 - 8996 + 3006 + 722*l.\nAnswer: 722*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15376056 or -15376058?\nAnswer: -15376058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2690 and 3460?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 428.096 milliseconds?\nAnswer: 0.428096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 9*j**2 - 2\/15*j**5 + 0 + 1\/6*j**4 + 0*j + 0*j**3 - 1\/24*j**6. Determine q, given that y(q) = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -15*c**2 - 2*c - 7. Let j(z) be the first derivative of z - 5459. Give -i(h) - 6*j(h).\nAnswer: 15*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4150 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-8))\/(6\/8). Suppose 14*w = 18*w - 80. Suppose -4*i = -0*i + w. Which is the nearest to 2? (a) 0.1 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57959922 to the power of 1\/2, to the nearest integer?\nAnswer: 7613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9772595?\nAnswer: 5, 7, 31, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000770851485 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 102.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -39 (b) 2\/15 (c) 3\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3 - 4*m**2 - 2*m + 4 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 118*y**2 + 130*y**2 + 4.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (sqrt(17) + 0)**2 + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one quarters of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 158?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, q: 4, v: 4}. Give prob of sequence qqw.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 0 - 16\/19*j**2 + 106*j - 19\/10*j**5 - 9\/2*j**4 - 56\/19*j**3. Suppose b(l) = 0. What is l?\nAnswer: -1, -4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 133*d - 12. Let w be z(1). Suppose 0 = -5*t + 229 + w. List the prime factors of t.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 109*x = -219*x + 108*x + 1, 4*g + 48 = 12*x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852856.\nAnswer: 2, 17, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 18*d - 2142 = -110*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/171562 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, -6, -29, -62, -105, -158?\n\"Answer: -5*r**2 + 2*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 + 9.9. Let r = 17 - a. Let l = 7 - r. Sort 1\/8, l, 0.1 in ascending order.\nAnswer: l, 0.1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*w - 42 = -5*w, -2*r + 12 = -3*w. Solve -p - 5*f + r = 0, 2*f - 5 + 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 886 divided by -1298170?\nAnswer: -443\/649085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2937159260 to the nearest integer?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/6637095 and -18\/8885?\nAnswer: 6637095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o. Let q(k) = -19*k - 1. Suppose -2*v - 44 = 9*v. Let j(x) = v*q(x) + 11*l(x). What is j(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: a4 (base 12) to base 15\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -37779*y - 37706. Calculate h(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 118.4 (b) 3 (c) 0.6 (d) 0 (e) -2\/3 (f) -3 (g) 11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12*x**2 - 2*x + 5. Let l = -1 - -5. Suppose -3*v = l*w + 13, 4*w + 3 + 4 = -v. Let b be n(v). Calculate the highest common factor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, 30, 134, 344, 696?\n\"Answer: 6*h**3 - h**2 - 5*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 - (2 + 0)) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-12 - -4 - -4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -402041a (base 11) to base 6\nAnswer: -412304331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 4*f + 122. Give h(20).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3)\/r*r)**(7\/5))**(1\/4)\/(((r*r**(-1\/2)*r*r)\/r**(-4))\/(r**2*r\/(r\/r**(-2\/19)*r))) assuming r is positive.\nAnswer: r**(-6523\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -66?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -227*o**6\/30 + 2467*o**5\/60 + 244*o**2. Find the third derivative of u(j) wrt j.\nAnswer: -5448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 + 0)*(166953*z**2 - 43128*z - 43134*z - 43136*z + 129398*z) to the form h*z + j*z**2 + a and give j.\nAnswer: 333906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**3 - 2*h**2 + h - 2. Let p(z) = 26*z**3 + 11*z**2 - 5*z + 9. Calculate 11*l(s) + 2*p(s).\nAnswer: -3*s**3 + s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -0.3 (b) -12 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (-2 + 0 - 1). Suppose 0 = b*x - 16 + 1. Suppose 0 = -4*n - 0*f - 5*f + 83, x*n - 5*f - 70 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y - 6. Let x = -22 + 26. Let l be 5\/30*15*x. Let a be q(l). What is the greatest common factor of 96 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1003 = w + 303, -3*u + 2*w + 514 = 0. Let z = u + -168. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71\/4047*-1007*(-3)\/5?\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20930 is divided by 276.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggeggggge. What is prob of sequence egge?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 27 = 9*t. Solve -t*v + 12 = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 6*j**2 + 2*j + 1. Let t be c(-5). Suppose 4*k = 6*k - 48. Calculate the highest common factor of k and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48423257.72369+-7\nAnswer: 48423250.72369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-3 + 0 + 7 - (21 - 18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/119?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 65*o**2 - 1088*o + 1024.\nAnswer: -(o - 32)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 12*k - 24. Let g be x(-9). Suppose -g*d - 3*w = -36, 0 = -6*d + 2*d + 3*w + 34. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 8. Let p = -458 + 25. Let l = -424 - p. Calculate f(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 1617*n - 28 = 1613*n, 18*n + 27 = -s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 6*b**2 + 2*b - 6. Let g(o) = 3*o + 22. What is the remainder when g(-5) is divided by t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**13\/(b\/(b*(b\/(b\/(b*b*b**(2\/9)\/b)))\/b)))\/(b*b**0*b*b)**(2\/57) assuming b is positive.\nAnswer: b**(2243\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 b when three letters picked without replacement from obbwdbbodjbooiddbbo?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35, -131, -253, -407, -599, -835, -1121?\n\"Answer: -a**3 - 7*a**2 - 68*a + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*v + 19 - 1, -32 = -4*b - 3*v. Suppose 2 - 32 = -b*h. What is the units digit of 12 + (-8)\/h*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 + 32 - 15*y**3)*(0 + 4 - 5 + (0 - 2 + 0)*(2 + 2 - 3)) + (0 + 0 - 2*y**2)*(-y + 0*y - y) to the form h*y**2 + q + a*y**3 + i*y and give a.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -20 + 32 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15488 and 114864816.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 4*a + 16. Let g be w(7). Let d = -40 + g. Let c be -3 + -1 + 7 - (d + 0). Which is smaller: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/1645227 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/70 - f**4\/42 + f**3\/21 + f**2\/7 - 9*f. Solve d(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -764*s**4 + 42*s**3 - 305*s - 81182066 with respect to s.\nAnswer: -3056*s**3 + 126*s**2 - 305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5417737133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, x: 7, y: 2}. What is prob of sequence xxmx?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnw when three letters picked without replacement from {d: 7, b: 5, n: 3, w: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (0 + (-2 - (-1 + -2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w**2 - 2*w**2 - w**2)*(15*w + 1720*w**2 - 419*w**2 - 15*w) to the form v*w**4 + a + g*w**3 + o*w**2 + u*w and give v.\nAnswer: 1301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, p: 12}. Give prob of sequence vpvp.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12914\/14599 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (23\/7 - (-6)\/(-21))*1. Solve 0 = -20*m + 17*m - x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139*2\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1319\/15 - -88. Let n be 0*(-4)\/(-8) + 3. Suppose 0 = -3*b - n*b - 6. Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*l + 8, 4*p - 16*l = -18*l - 4. Which is bigger: -19\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 11 = -5*b, 19 = 3*u + 2*u + 3*b. Does 6 divide 1*(u*6 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 4*p + 1928. List the prime factors of p.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 12*q**2 + 16*q**3 + 2*q + 2*q**2 - 17*q**3 + (-3*q**2 + 3*q**2 + q**2)*(2*q + q - 2*q) - 2*q**3 + q**3 - q**3.\nAnswer: -2*q**3 + 14*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 5:18 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 8*a - 8*a = -7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42599964 < 212999817\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13727.6 + -13728. Let k = 31 - 24. Which is the closest to -2? (a) k (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/4)*x)**(-28)*x**(-6\/7)*x*x*x**5*x assuming x is positive.\nAnswer: x**(-391\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8688863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1467950617.\nAnswer: 7, 37, 1471, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 24 = 18*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 2*i + 1. Let r be w(-2). Let l = 1 - r. Let a(o) = o. Let b(c) = 2*c - 5. Let n(f) = -3*a(f) + b(f). Give n(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -421 + 421 + 1 + -1 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10695480 by 2673870.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -39, -120, -261, -474?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8991 divided by 3?\nAnswer: -2997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/(-315)*-15 + (-4270)\/560.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = -8*p + 4*p, -5*p - 3*n = -3. Let h be p\/((4 - 0)\/4) + -1. Sort h, -17, 5 in decreasing order.\nAnswer: 5, h, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31621?\nAnswer: 103, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g = -2*i + 43*g - 33, -3*i + 2*g = 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -590, -877, -2030, -4481, -8662, -15005, -23942, -35905?\n\"Answer: -72*z**3 - z**2 + 220*z - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 12328.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566 (base 8) in base 14?\nAnswer: 71c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20566525 divided by 126175?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 11:20 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -124*r**4 + 1683*r**3\/2 + 1238*r**2 + r. Find the first derivative of p(o) wrt o.\nAnswer: -2976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + s**3 + 0*s**3)*(-272 - 188 - 291).\nAnswer: -751*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -1. Let l(j) = j**2 + 7*j + 9. Let y be l(-6). Suppose -y*r = r. Which is the smallest value? (a) r (b) 2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h + 4. Let y = -1 - -1. Suppose 5*n + 5*c + 479 = 449, -3*c - 14 = 5*n. Solve 8 = -h*i + 2*a, -a + n = -y*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*((j\/(j*j**(-1\/10)))\/j)\/j*j\/(j\/(j*j**5)))\/(j**(-13)\/j*j**(3\/14)) assuming j is positive.\nAnswer: j**(696\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + 6*4*(sqrt(72)\/sqrt(54) + (6*sqrt(24)\/sqrt(2))**2)).\nAnswer: -10368 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*i**2 + 35*i**4 - 146*i**2 + (-i + i - 2*i**2)*(-4*i**2 + 0*i**2 + i**2) as n*i**2 + k*i**3 + z*i**4 + d*i + a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/30*-12*3\/(-27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -j - 21, 3*m - j = -3*j + 10. Suppose -4*u = -u + 4*f - 11, 0 = m*u - 2*f. What is the second smallest value in u, 1\/62, -2?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxisvss. What is prob of picking 1 u, 1 x, and 1 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f**2. Let b(p) = -2288*p**2. Calculate b(j(d)).\nAnswer: -146432*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3800 and 2660.\nAnswer: 26600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-37)\/q)**44 assuming q is positive.\nAnswer: q**(-1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/35 > -486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 31 = 3*q, 4*k + 0*q - 92 = 4*q. Calculate the remainder when k is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**4 - 20*i**3 + 47*i**2 - 34*i + 4. Let x(l) = 21*l**4 - 141*l**3 + 330*l**2 - 237*l + 27. Let q(z) = 27*w(z) - 4*x(z). Let q(r) = 0. What is r?\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 - 1 = -3*b, 0 = -5*b - 15. Suppose 5*q + 4*n = 8, n - 5 = -4*q + 8. Solve 2*v - 4 = -2*v + q*d, z*d + 9 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2541284714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 54 = 106. Let s be 4\/j*-4*(-20)\/10. Let x be (-16)\/(-10) + (-2 - 0). Which is the closest to 1? (a) s (b) -1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1 + -28) - (-4 - -1). Suppose -4*u + 8 + r = 0. What is the remainder when 58 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaiaaaaiaaaa. Give prob of sequence aii.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.6315 times -0.4817?\nAnswer: -13.31009355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43809012 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 7 = -14. Suppose -4 - 11 = -2*o - n, -z*n = -o - 10. Calculate the least common multiple of o and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0) + 3\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*i + 39 = 0, 5*v - i - 25 - 98 = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 20 = -l. Let k be l + -4 + 0 - 3. List the prime factors of k\/5 - (4 + 2910\/(-25)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - 7*j**2 - 4*j + 7. Let k be u(-4). Let c = k - 27. What is the remainder when c is divided by (1*-6)\/(-1) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 8*k + 12. Let q be h(9). Suppose -2*o + o - a + 102 = 0, 3*o - q*a - 318 = 0. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 + (-2 - 4 - -3) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) + 0 + 1)**2 - (1*(sqrt(27)*-3 + 0))**2.\nAnswer: 48*sqrt(3) + 1486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 11*n + 11404 = 2*c, -11426 = -2*c - 3*n. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 73341*y**2. Let k(p) = -p**2. Calculate l(k(b)).\nAnswer: 73341*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**6 + 220222*b**3 + 115*b**2 - 2*b + 69 wrt b.\nAnswer: 360*b**3 + 1321332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8247 and 8459343595.\nAnswer: 8459351842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 8*r**2 + 4\/9 + 34\/9*r**3 + 14\/3*r = 0.\nAnswer: -1, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-15) + -16 + 10?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -161\/29 greater than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 175 = 5*n, 3*v - n - 17 = 92. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*m*q**2*v - 138*m*q**2 - 4*m*q*v + 3*m*v + q + 6*v wrt q?\nAnswer: -150*m*v - 276*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, n: 6, i: 6, g: 1, p: 5, b: 1}. What is prob of picking 1 g, 1 j, and 1 n?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/242836 and 89\/20?\nAnswer: 1214180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-538*i + 495 - 249 - 247)*(-2*i + 5 - 5) to the form y*i + w*i**2 + p and give w.\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55.55 - -42. Let l = -0.478 - s. Let v = 13 - l. What is v rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*x - 129*x = 18400. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1366?\nAnswer: 136.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3247897926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-2586)*749\/(-420)*622. Let x = 9\/431 + w. Let h = 1\/178 - 1427\/534. Find the common denominator of h and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -14878*k + 21. Let x(w) = -14851*w + 17. What is -4*d(z) + 5*x(z)?\nAnswer: -14743*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -25*g + 7. Let p be v(-6). Let q = p - 58. What is the greatest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.28 times 4816?\nAnswer: 189172.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 195 - 18 = 0. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**3 + 561*y**2 - 2*y - 2. Let w(k) = 10*k**3 - 1684*k**2 + 7*k + 7. Determine -7*p(t) - 2*w(t).\nAnswer: t**3 - 559*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 26 = h, 43*a - 45*a + 8 = 5*h. Let p(i) = -11*i**3 + 4*i**2 + 4*i + 5. Let t(j) = 10*j**3 - 5*j**2 - 5*j - 6. Give h*t(m) + 5*p(m).\nAnswer: -15*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -219760276.4 to the nearest one hundred thousand.\nAnswer: -219800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 7*a - 6. Let i be q(-7). Let n = i + 9. Let f = 13 - n. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16d + 8da95?\nAnswer: 8d926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -139\/2, 2.93, 20?\nAnswer: 2.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*m - 22. Let q = 95 - 5. Suppose 0 = -3*p - 3*r + q, -143 = -4*p - 2*r - 25. Calculate the remainder when p is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11698, -23069, -34440, -45811?\n\"Answer: -11371*k - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 + 34 - 36 - 2*t - 2*t - t**4 + 1 in the form b + a*t**3 + k*t + h*t**4 + f*t**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3 + (-1 - 1 + 4)*(0 - 3 + 1) - 4 + 2 + 0 + (-4 + 5 + 1)*(2 + 0 - 1) + 6 + 0 - 2)*(-u + 8*u + 3*u).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 4*m - 133. List the prime factors of g(-11).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/4 (b) -2 (c) -0.9331 (d) 119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10005723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-21)*2 - 4718\/99078\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3557, -14257, -32105, -57101, -89245?\n\"Answer: -3574*c**2 + 22*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6774289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 3*j + 6*j**3 + 15*j**3 - 18*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a - 8. Suppose -4*y = -0*y - 16. Find the second derivative of 2*b + y*b**4 - 2*b**4 - a*b**4 wrt b.\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19272.58124 - -19273. Let n = 0.42 - h. Round n to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -1.7972.\nAnswer: 0.71888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11358?\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -5 + 2 + 197. Let v = -224 + 106. Let u = n + v. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 9*c + 9. Let n be b(-8). Suppose n*p - 87 = 32. Calculate the highest common factor of 105 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*c - 222*c = 145*c + 40050 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/10 + 3 + 4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 1. Let d be l(-1). Suppose -2*z = 3*h + 11, -2*z = h + d + 7. Let p = z + 6. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 421527.\nAnswer: 2529162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*v**3 + 7*v**2 + 11*v + 2*v**2 + 9*v**3 + 14*v**3 - 6*v as w*v**2 + y + s*v**3 + a*v and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -547\/9116 + -7\/212. Does c = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-four fifths of a tonne?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**5\/420 + 11*h**4\/2 + 925*h**3\/42 - 892*h**2 - 5*h. Factor i(v).\nAnswer: -(v - 925)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 3. Let w be (-1)\/1*0\/1. Let a be n(w). Suppose -10 = -a*v - 1. Solve 0 = v*u - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*i**3 + 62*i - 8 + 28*i**4 + 64*i - 90*i - 20*i**2.\nAnswer: 4*(i - 1)**2*(i + 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650 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: 0.37 times 0.26\nAnswer: 0.0962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*c + 4*y, -y + 24 = 2*c - 5*y. What is the lowest common multiple of 3*(-8)\/c + 11 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 3)*(4*k - 2*k - k)*(k + 3*k - 2*k).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30074 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 1. Suppose -2*o = -8 - 20. Let i(v) = 21*v + 5 - 44*v + o*v. Give -2*i(h) + 11*j(h).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m = 358. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**5\/60 + 5*s**3\/3 - 5. Let n(k) be the third derivative of m(k). Let c(z) = -148 + 148 - 2*z. What is c(n(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4 - 16, 104 = -5*n + 3*x. Let b = n + 20. Which is bigger: 5 or b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44 - 2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.16765 (c) 0.1 (d) 3\/7 (e) -1 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 10)*(-2*f**3 - f + f).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from wwiwiewiiwwiwiwwww.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570430 divided by -24455?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23251 + -23250.967565. Round g to four dps.\nAnswer: 0.0324","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 6) + -22 - -28.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423663635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 23.4. What is the second smallest value in 4, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -298, -447, -596, -745?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-5 - (30 + -10)) - (2 + 0 + -4)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 - 9 = 0. Let s(g) = -3*g**2 - 4 - 5*g + 0*g**2 - 5*g**3 + 4*g**3. Is s(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, u: 4, v: 1, e: 2}. What is prob of picking 1 v and 3 u?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/9522 and 11\/56676.\nAnswer: 89944812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2231 at least as big as -1700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 1.1. Let w = -3\/55 - -119\/165. Which is the closest to w? (a) -2\/13 (b) n (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Suppose -2*l + 19 = 15. Solve -2*u - w*u = -3*y + 27, -l*y = 4*u + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62121 rounded to the nearest 1000?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 352075.7 rounded to the nearest 1000?\nAnswer: 352000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/(-25) - 1*(-4)\/(-20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/25)\/(-4)*2\/(-4). Let y(f) be the first derivative of 0*f + 0*f**2 - 1\/15*f**6 + j*f**4 - 4\/15*f**3 + 4\/25*f**5 + 2. Solve y(o) = 0 for o.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 17750*f - 256. Let m(w) = w**2. Give l(m(u)).\nAnswer: 17750*u**2 - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/3 - 9620*h**3\/3 - 22757878*h**2\/3 + 606415940*h - 11920990107 = 0 for h.\nAnswer: -4849, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19\/4 of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*(-2)\/(-15)*21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20436*k + 45 = 20451*k. What is the lowest common multiple of k and 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(5*d**3 - 4*d**3 - 2*d**3)*(-2 - 4 + 4).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243794047.\nAnswer: 7, 43, 163, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.0089us in nanoseconds?\nAnswer: 181008.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 14*j - 28. Calculate p(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*-3*1\/(-9). Let x = -0.02 - 0.18. Sort t, 1, x in descending order.\nAnswer: 1, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*u = -10, 0 = 3*k - 6*u + 2*u - 13. Let b = k + -5. Let x = b + 13. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s\/s**1)))**(6\/17)*(s*s\/s**0)**(2\/71) assuming s is positive.\nAnswer: s**(494\/1207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*t + 136*t - 10250 = 57*t for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -474835*q - 3*q**2 + 237418*q - 2*q**2 + 20 - q**3 + 237427*q. Calculate m(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.0039\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7029 - 3) + 5 - 3. Let r = q + -2323. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110)*-2*1 + sqrt(110))\/(sqrt(90) + sqrt(90) + -3*sqrt(90) + sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/947 + 2809\/7576. Which is the closest to -1\/4? (a) -1\/10 (b) 2 (c) -4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 l, and 1 s when three letters picked without replacement from jvjdsjvvjjdldjjvj?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1\/41, -154, -0.1, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 8:58 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 452433 and 2296688?\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/468 and 137\/1716.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + (5 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*t + 2 - 2)*(0 + 0 - 1) + 2*t + 2*t - t)*(24*t - 69*t - 34*t) in the form r*t + p + a*t**2 and give a.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8 = -1. Solve c = 1 - u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -15. Let s be 0\/2 - (d - 10). Let j(p) = p**2 - 3*p. Let x be j(4). Solve -x*k + 15 = s*z + 1, -5 = -k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 18838, -1.\nAnswer: -1, 5, 18838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w. Let p(t) = 7*t**2 + 8. Let o(c) = -6*c**2 - 9. Let v(f) = 3*o(f) + 2*p(f). Let x(q) be the first derivative of v(q). What is x(g(i))?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4273215521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 3, 714 in ascending order.\nAnswer: -3, 1, 3, 714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*d + 23*d + 10. Suppose 2*o - 19 = 2*i + i, -5*o = d*i + 15. Solve 0*f + f + 15 = -4*n, o*n - 3*f = -11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from gmgbbhbhmgbb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 36696\/(-12232) - (101\/(-16) + 2)\/((-9)\/(-6))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 1:24 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 4*d + 31. Calculate i(-8).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12095536 - 567.\nAnswer: 12094969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9793584 + -4.9?\nAnswer: -9793588.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + 0*r**2 - 70*r + 145*r + 101 - r**3 - 76*r + r**2 in the form n*r + w + j*r**3 + f*r**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1647 equal to -70770\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 118*f - 355. Let l be s(3). What is the second biggest value in -2, l, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 2*n**2 - n - 4. Let s be p(-3). Suppose -21 = -5*r + 3*z, 4*r - 3*z + 4*z - 27 = 0. Is (-24)\/s*75\/r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -603 + 605. Solve 2 = 2*c, r*c + 2*c = 3*m + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q - 5*x + 11, -5*q = 2*x - 55. Suppose -4*g = -q + 31. Let z = 3 - g. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 - -124. What is the smallest value in 4, d, 38?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194*0.035.\nAnswer: -6.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6. Suppose s = -u + 6*u - 25. Find the second derivative of -5*z**5 + z**u + 6*z**5 - 6*z wrt z.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1097, -17, 3, -36 in increasing order.\nAnswer: -36, -17, 3, 1097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n\/n**23)\/(n\/n**(5\/6)*n))\/((((n*n**18)\/n*n*n*n*n)\/n*n)\/(n*n**(-26))))**(-1\/6) assuming n is positive.\nAnswer: n**(409\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 7*z**4\/12 - z**3\/2 + 2*z**2 + 28*z + 11. Let a(q) = 8*q**2 - 2*q + 3. Give -3*a(h) + 2*x(h).\nAnswer: -10*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flj when three letters picked without replacement from fllljlolo.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9*b + 15 = 0. Let q be 0\/((0 - -2) + b). Suppose q = -5*h - 4 - 6. Let f(o) = -2*o**2 - 2. Determine f(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30565?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d - 6. Let c be l(5). Let n be 19*(c\/(-4))\/(-7). Which is bigger: 11 or n?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 2*w**5\/15 - 5*w**4\/24 + 7*w**3\/3 - 3491*w**2. Let m(y) = -15*y**2 + 9*y - 27. Give 11*l(v) + 6*m(v).\nAnswer: -2*v**2 - v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 397244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902105.\nAnswer: 5, 17, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25186 - -52808. What are the prime factors of u?\nAnswer: 2, 7, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/6*-4*472\/(-590).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -192*u + 15. Let v(m) = 77*m - 6. What is -5*f(s) - 12*v(s)?\nAnswer: 36*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 848262143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 30*l**2 + 9. Calculate b(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -664, -1333, -2006, -2683?\n\"Answer: -2*s**2 - 663*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -3473993804.\nAnswer: -3473993804.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 309\/(-15) + (-3948)\/(-188).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 3*j**2 - j - 1. Let b be p(-3). Suppose -b*q + 2 + 30 = 0. Let x = q - -9. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327, -341, -355, -369, -383?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.87 + -21. Let i = -0.17 + g. Which is greater: i or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a + 20. Calculate the remainder when 18 is divided by (2\/a)\/(3\/90).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 76*t**2 - 20*t + 28. Let p(h) = -11*h**2 + 3*h - 4. Let j(u) = -20*p(u) - 3*z(u). Differentiate j(i) wrt i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -4) + (2 - 0) + 145 + -151?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**3 - 13*f**3 - 40*f**2 + 50*f**4 + 8*f**2 + 0*f**4 - 8*f = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -4 + -5 + 1. Let b(p) = p**2 + 5*p + 3. Give b(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -75100401, -75100405, -75100409, -75100413, -75100417, -75100421?\n\"Answer: -4*r - 75100397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 42. Do i and 1\/18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633*y - 446*y - 12934 = 682*y - 1315*y for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34706 (b) 2 (c) -8 (d) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 163*-3\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5458, -21836, -49136, -87358, -136502?\n\"Answer: -5461*q**2 + 5*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 0.0267?\nAnswer: -0.001068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 3*u + (-u - 3*u + 2*u)*(9 + 27 - 15).\nAnswer: -39*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000066756999 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-218)\/(-10) + (-99)\/55. Let f = 11 + -21. Let r be -25*(1 + 22\/f). Calculate the greatest common factor of r and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.043 and 3.\nAnswer: -3.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let x be 1*(2 + -2 - -1). Let o be ((-2)\/4)\/(x\/(-12)). Suppose s + p = 4, -p + o = p. Determine y(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 + 33 = -39*k - 389 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 502988 + 837.35.\nAnswer: 503825.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/m**(-1))\/m))**(6\/11)\/(m\/m**(-6\/7)*m\/(((m*m\/m**1*m)\/m*m*m)\/m)) assuming m is positive.\nAnswer: m**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + -70. Find the second derivative of -b*l + 7*l - 8*l - 4*l**3 + 11*l**3 wrt l.\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -6.2. Let r = g - -2. Sort -1\/2, 5, r.\nAnswer: r, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/3 in 32, 1, 247, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 5.878097\nAnswer: -0.5878097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/352)\/(28\/(-1792))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54.1 + 8.1. Let u = g - -46. What is the third biggest value in 0.1, u, 4, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353920926 to the power of 1\/3, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 3*p - 6 = x, -4*x - 2 = p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 3*f - 3. Suppose 5*h = 15, -4*t + t + 9 = -4*h. Let v be k(t). Solve 0 = -5*z + v, 5*z - 58 + 13 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m + 2*m - 1 + m + 1 - 2*m + m + 2*m + (3*m - 4*m + 3*m)*(1 + 1 - 1) - 10*m - 6*m + m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -21. Let r(b) = -55*b**3 - 3*b**2 - b - 1. Let c be r(p). Let t = c - 238. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5748 divided by -958?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*z = 140 - 1, -4*z = -16. Let c = w + 127. Is c at least as big as 1\/84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1391.197 rounded to zero decimal places?\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -188 - -242. What is the remainder when s is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 351852.177969 - 1.\nAnswer: 351851.177969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 5*r**2 + r**2. Let b(o) = 84*o**2 - 38*o**2 - 43*o**2. Determine a(b(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-35)\/14)\/(-2 + 28\/24). Let j = -45\/4 + 111\/8. Is a <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 2. Let k(p) = 3796*p**3 + 3783. Let y(d) = -4*g(d) + k(d). Differentiate y(z) with respect to z.\nAnswer: 11400*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 38 = -4*k, -o + 2 + 0 = 0. Suppose -55*n = -52*n - k. What is the derivative of -10*l**2 - 6*l**2 + 16*l**2 + 5*l**n - 14 wrt l?\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*l**3*t**2 - 16*l**3*t + 2*l**3 - 3*l**2*t - 119436*l**2 wrt t?\nAnswer: -62*l**3*t - 16*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 48. Let y be m(28). Let b = -22 + y. Sort b, -4, -1, 1.\nAnswer: -4, b, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from lrliittftnit.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + 5 - (-12 + 23)) - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 209127098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657032 to the power of 1\/2, to the nearest integer?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103 + -60. Suppose -4*d = 5*u - 156, -3*d + 5*u + s = -39. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 27. Suppose -3*f = -k + 464, 0 = -v*k + 3*f + 684 + 738. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108624 divided by -100784?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5152 + 0.7321. Round u to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.0736 - 2.5678. What is n rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*a - 39*a - 37 = -220 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8274 + 8274. Let y(n) be the third derivative of 0*n**5 - 7\/24*n**6 + 23\/6*n**3 + 0*n**4 - 27*n**2 + k*n + 0. Find the first derivative of y(s) wrt s.\nAnswer: -105*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/11 (b) -1\/7 (c) -0.4 (d) -46 (e) -3\/2777 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from fgag.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 26*s - 4. Let z(i) = -i**3 + i**2 + 6*i + 1. Let o be z(3). What is the remainder when b(o) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 1 - 10. Let z be (1\/v)\/(6\/126). Let g be (18\/z)\/(-1) + 2. Put 0.05, g, 1 in increasing order.\nAnswer: g, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65861 bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -4?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1010101110011111111 (base 2) to base 15\nAnswer: -6e227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*i = 5648 + 1426, 4*p - 2*i = 9462. Does 49 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 77*p + 318. Let q be k(-34). Solve -2*y + 6*y + q = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4795692 to the nearest integer?\nAnswer: 2190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13312 - 10?\nAnswer: -13322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3021648 divided by -11109.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(sqrt(76) + sqrt(76)*-2)*-6)\/(((sqrt(200) - (sqrt(200) - sqrt(200)*2 - sqrt(200)))\/sqrt(10))\/(sqrt(35)\/(sqrt(7)*1))).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 26828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 10 - 23. Let l = 35 + t. What is the greatest common factor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3787\/49 + 10416\/6076.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/13 (b) -0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11c97 (base 15) to base 7.\nAnswer: 324502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*p + 5*p - 37425 + 48449 = 0 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*p**2 - 363*p**2 + 82*p**2 - 1022145 + 1022145.\nAnswer: -323*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 552342 - -130?\nAnswer: 552512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v**2 - 5*v + 54. Determine c(-5).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 331230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(76\/8 + -2). Is s != 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8138 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.88828 milligrams in micrograms?\nAnswer: 21888.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 62*d**2 + 362*d - 22444. What is v(62)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = -t - 3, 10 = -a - 4*t. Let g be (-60)\/(-25) - a\/(-5). Suppose -2*r + r + 3*n = -127, -r - g*n + 152 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 12:19 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/15 - 1174*q**2\/15 - 4114*q + 12210594\/5.\nAnswer: -2*(q - 139)*(q + 363)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213995435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23580*n**3 - 152435*n**2?\nAnswer: 141480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 39, 83, 143, 219, 311?\n\"Answer: 8*v**2 + 4*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 9:18 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 23950738\nAnswer: -19\/23950738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96669102*h**5 - 93451523*h**2 wrt h?\nAnswer: -5800146120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Let k(s) = -2*s + 3*s**3 - b*s**3 - 3 + 4*s**2 + 2. Give k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/114525400 and 133\/5726270.\nAnswer: 114525400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -a - 1, 49*j - 2 = 2*a + 51*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:22 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -105, 3815, 13\/8?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3952 and 5776.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 10*x**2 + 2*x - 20. Let u be c(8). Let y = u + -119. Does 6 divide 157\/4 + y\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 14 + -50 + 18\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17948 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - q**2 - q + 32. Let h be i(0). What is the greatest common divisor of h and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 + 2*j**2 - 1. Let s be p(-1). Let d be (2\/s)\/(10\/(-15)). Let w = 0.2 - -0.3. Which is the third smallest value? (a) w (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, e: 3}. What is prob of picking 1 l and 3 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 9:27 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + (0 - -5))*3. Suppose -5*h + 0*h + x = 0. Solve 0 = 2*g + 2*g - 5*b - 25, h*b = -3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10941 - 6103. Let h = f - 3237. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3487008 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**3\/3 + 9*l**2 + 35*l - 402. Give v(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-126)\/(-168))\/(406\/8 + -1). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 e, 1 u, and 1 n when four letters picked without replacement from fnfqnfquufefuqyyfyu?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 less than -0.06?\nAnswer: 312.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8091\/186)\/(-87))\/(14\/88).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + d + 3. Suppose d*c + 8 = 4*z - 6*z, -2*z - 8 = -5*c. Suppose c = 3*a - 2 - 4. Solve 0 = k + a*k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1998960*f**2 - 894016.\nAnswer: 3997920*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.163 - 3.78. What is b rounded to 2 dps?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 39 = -158 - 153 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*b + 12, 0 = -6*b + b - 20. Let d be -27 - ((-6)\/(-9))\/2. Let l = 28 + d. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170 and 765.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 362178.9ml?\nAnswer: 362.1789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77237465.\nAnswer: 5, 15447493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 3)*((-4 + 1 + 1)*(0 - 2*l + 0) + 0*l + 0*l - 2*l - l + 6*l + 0*l)*(-3 + 0 + 2 + (1 - 3 + 0)*(4 - 3 - 3)) in the form w*l + m and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.02408 + 0.02408. Which is the second biggest value? (a) -0.5 (b) 6 (c) s (d) 2\/3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1520 and 190?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*d*v**4 - 196*d*v - 2*d + v**4 + 4*v**3 - 2*v**2 wrt v.\nAnswer: -1416*d*v + 24*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 995 divided by 3093.\nAnswer: 995\/3093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -174375.\nAnswer: 1\/174375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 5:58 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8434 - 8438. Put y, -3, 3, -68, 1 in ascending order.\nAnswer: -68, y, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + 48*o + 7. Let r(n) = n**2 + 29*n. Let k(c) = 2*r(c) - y(c). Calculate k(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822082.\nAnswer: 2, 411041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -2\/7, 215, -0.4, 49 in descending order.\nAnswer: 215, 49, -2\/7, -0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 10*d**2 - 5*d - 2. Let z be j(0). Let m(r) = 2*r + 6. Let k(c) = 2*c + 7. Give z*k(n) + 3*m(n).\nAnswer: 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(45)\/(1*sqrt(36)) + (sqrt(4235)*-1 - sqrt(35))\/(-1*sqrt(112) - sqrt(112)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -3611, 4, -22, 3, -1 in descending order.\nAnswer: 4, 3, -1, -2, -5, -22, -3611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/8)\/((-4191)\/3810).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0*x + 0*x**3 + 0*x**6 + 0*x**7 + 0*x**5 + 1\/48*x**8 + 0 + 6*x**2 + 5\/24*x**4. What is the second derivative of q(i) wrt i?\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/9)\/(u*u*u*(u*u\/u**1*u)\/u*u*u*u)*u*u\/u**(1\/2)*(u\/(u*u\/(u\/(u*u**(-1\/2)))))\/u assuming u is positive.\nAnswer: u**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a. Suppose -w - 4*y + 8 = a, w + y + 1 = -0. What is the tens digit of 24*w*12\/(-64)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*d*h**2*t - 3*d*t**2 - 1265*h**3*t**2 + 21*h**3*t + 13*h*t - 4*t**2 wrt t?\nAnswer: -6*d - 2530*h**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 170498?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/10 + 7 + 5)\/(2\/4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 11*p + 4. Let d(s) = -s**3 + s**2 + s. Let y(f) = 2*f**3 + 6*f**2 + 10*f - 11. Let z(t) = p*y(t) + 3*d(t). List the prime factors of z(9).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*x - 3*n + 162, -4*n = 4*x - 1 - 39 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 3*l + 4. Let q be f(-4). Let m = 0 + q. Suppose 4*r - 18 = -2*u, 0 = -2*u - m*r + 3*r + 46. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 348*x**2 + 175*x**2 - 11*x + 178*x**2 to the form f*x**2 + k*x**3 + z*x + m and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((1*sqrt(65) + sqrt(65) - sqrt(65)) + sqrt(65))\/sqrt(5)*5 - sqrt(91)\/(1*sqrt(7)*2)).\nAnswer: -4 + 19*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + sqrt(133) + sqrt(133)*-3*-6 + sqrt(133) + sqrt(133))\/sqrt(7)*-3 - (-5*(sqrt(76) + sqrt(76) + sqrt(76) + sqrt(76)*3 + -4))**2.\nAnswer: -68800 + 2334*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1, -3\/5, -1\/9, 6, 3 in descending order.\nAnswer: 6, 3, -1\/9, -3\/5, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(2 + (-42)\/(-4)). Let o = -3 + 3. Suppose o = -5*u + 2*u + 6. Solve -n = 3*h + u*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2835\/13 and -218 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w - 8. Let y(q) = 5*q + 9. Let u(g) = 4*j(g) + 3*y(g). Let k be u(5). Let s = k + 82. Calculate the highest common factor of s and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x - 30. Let z be m(11). Suppose -4*d + 4 = -z*w + d, 0 = w + 2*d - 6. Suppose w*v = 5*v - 150. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:00 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2840000 = 7*v. What is v rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 90 - 90 = 5*h - 183, 15*s = 5*h - 75 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 241537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -552.09956703 + 552.1. Round g to five dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105.987 + 0.013. Put 0.3, -3\/2, x in ascending order.\nAnswer: -3\/2, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**(-5)*q*q))**(-5\/2))**48 assuming q is positive.\nAnswer: q**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*n**3 + 4*a**2*n**2 - 18088*a**2 + n**3 + 1365*n**2 + 45*n + 2 wrt a.\nAnswer: -2*a*n**3 + 8*a*n**2 - 36176*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 - -0.2. Let o = b + -0.31. Put 0.2, -2, o in increasing order.\nAnswer: -2, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.2. Let t = l - -0.3. Let x(f) = -5*f - 188. Let j be x(-38). Is j less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 + 709 - 2*a + 8*a.\nAnswer: 6*a + 927","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -4*s**6\/15 + s**4\/4 - s**3\/6 - 333*s**2\/2 + 520*s. What is the second derivative of n(r) wrt r?\nAnswer: -96*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*t - 1 = -11, t + 4 = 2*m. Suppose 0 = 2*f + m*k - 0*k - 14, 3*k - 1 = -f. Calculate the remainder when 29 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -2 (c) -1120 (d) -3\/8 (e) 0.08 (f) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/52200 and -82\/3915.\nAnswer: 156600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1715*l**6 - 3*l**4 - 2*l**3 - 93302*l**2 wrt l?\nAnswer: -205800*l**3 - 72*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1386 and 109\/3234.\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09554 + -0.01554. Put c, 0, 2\/21, 5, 2.2 in decreasing order.\nAnswer: 5, 2.2, 2\/21, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**3 - a**2 + a. Suppose -3 = -4*w + 1. Let y be j(w). Is y > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**8\/60 + w**7\/21 + w**6\/30 + 26*w**3 + w**2 - 48. Let f(o) be the first derivative of g(o). Let f(l) = 0. Calculate l.\nAnswer: -1, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 2.35, 194, -0.06, -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -327 - -331. Let j(y) be the second derivative of 0*y**3 + 1\/3*y**d + 0 + y + 5\/2*y**2. What is the derivative of j(f) wrt f?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 4*j**2 + 3. Let p(b) = -b**3 + b**2 + 1. Let u(m) = 7*m**3 - 13*m**2 - 11. Let a(k) = 6*p(k) + u(k). Give 3*a(r) + 5*q(r).\nAnswer: -2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1434 - 1463.72. Let f = 77.5 + n. Round f to the nearest integer.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + -206 + 202 + -15.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {m: 5, d: 1, z: 7}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7531927 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10763530 to the nearest integer?\nAnswer: 3281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47395290.\nAnswer: 2, 3, 5, 59, 26777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-4 - -9) + -3 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m*m\/m**(2\/19)))\/(m**(1\/4)*m))\/(m*m\/(m**(-2\/5)\/m))**(-12)*((m\/(m**7*m))\/m**2)\/(m**(-1)*m)**(-1\/14) assuming m is positive.\nAnswer: m**(10509\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30\/32477 + 2238395\/489493344. Find the common denominator of w and 21\/8.\nAnswer: 15072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 421429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*m - 55*m - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h = 22*h - 20*h - 374 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) -189 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*f + 22. Suppose -28 = -f*t + 22. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8587*f - 343484. Give s(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/178146 and -119\/40.\nAnswer: 3562920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**5\/3 - 8324*y**4\/3 + 24995*y**3\/3 + 116566*y**2\/3 - 99964*y\/3 - 333080\/3 = 0.\nAnswer: -8327, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 9*a - 9. Let k be y(-9). Is 3 a factor of (0 - -3)\/(k\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/15*-5)\/(-2*2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61659 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 24*d**2 - 5. Let l(r) = -551*r**2 + 114. Let w(t) = -14*t**2 - 161*t - 30. Let p be w(-12). Calculate p*h(n) - 5*l(n).\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69.086 - 69. Let n = 0.045 - v. What is n rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 124 = 18*z - 4*u, -z + 52 = -2*u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 186 - 161 - (10 + -2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101480149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7841*l**2 + 7846*l**2 - 15689*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 611883234 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 2*p - 189. Calculate the remainder when p is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsxx when four letters picked without replacement from xspvvsnnxpxnn?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 5:42 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 10:28 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 3\/20*j**5 + 0*j - 3\/16*j**4 + 3\/8*j**2 - 105 - 1\/4*j**3. Factor z(f).\nAnswer: 3*f*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2639491 or 2639487?\nAnswer: 2639491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6893, 6847, 6801, 6755, 6709, 6663?\n\"Answer: -46*q + 6939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31293 is divided by 1953.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34998447 - -97.45?\nAnswer: 34998544.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -166953, -166943, -166919, -166875, -166805, -166703?\n\"Answer: x**3 + x**2 - 166955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-12 + 17 + -13)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/(-15)*2\/(-12)*(41 - 59).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -1\/8, 0.07099 in decreasing order.\nAnswer: 25, 0.07099, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1360 and 48348.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 3*x**2 - 2*x**2)*(1 - 4 - 3)*(7*x - 19*x - 15*x).\nAnswer: -486*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Let v(g) be the first derivative of -g**2 - 2. Calculate w(v(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 21*j**6\/10 + j**4\/6 - 99*j**2 + 117*j. What is the first derivative of l(q) wrt q?\nAnswer: 252*q**3 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18\/23, 0.43, 7, -3\/5, 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**4 - 6*g**3 - 34*g**2 + 78*g - 40 = 0.\nAnswer: -4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 80680 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3184784*b + 3359644 wrt b?\nAnswer: 3184784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437311614 to the nearest integer?\nAnswer: 20912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -619? (a) -2 (b) 4 (c) -1 (d) 1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 69. Let j be 6\/(-21) - k\/(-7). Suppose 4*p - 2 = y - 4, j*y - 2*p = 16. Calculate the remainder when 11 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 450500 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1363816, -2727633, -4091450, -5455267?\nAnswer: -6819084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 7*v + 69 - 102 = 0, 5*t + 5*v = -20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44225*g + 19110*g**3 - 44225*g - 19122*g**3.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 6143143.\nAnswer: -5\/6143143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1155 - -1192 - (-13 + -1)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 26*t - 28. Let x be r(-7). What is the greatest common factor of 168 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 7*r - 18. Suppose 0 = -k + r*k + 3*j - 584, -468 = -4*k - 2*j. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956890 rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 7:49 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318000 is divided by 158858?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 32, -1\/5, -1\/134?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4935541 or 4935515?\nAnswer: 4935541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4724638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/912*5\/(5\/(-6)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t + 12. Suppose -4*c - 48 = -5*g, g = 2*c + 3*g + 6. Calculate the remainder when o(c) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w = 4*b - 27*w - 12656, 0 = -4*w + 12. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695002 is divided by 180.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and -6.\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015262365?\nAnswer: 5, 13, 15619421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24990543.\nAnswer: 3, 2776727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3179461662 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -289, -3230, -12011, -29806, -59789, -105134?\n\"Answer: -529*r**3 + 254*r**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8\/12*-3 - (-6)\/6 - -14202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(204)\/(-1*sqrt(12)*-5)*3.\nAnswer: -18*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19310.34 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eieiyyeoeeeeseeeee. Give prob of picking 1 s, 1 y, and 1 o.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1034 and 282.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-2 + -11)) + -28 - (-10 + 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = u - 2*u + 4*a, 0 = -5*u - a + 4. Suppose -5*w + 52 - 7 = u. What are 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 9 + 480\/(-50) + (-616)\/(-10). Suppose -2*u + o = -t - 133, -4*o = -8. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 10*i**2 + i. Let a be h(3). Solve -11*p = 13*p + a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 h when three letters picked without replacement from {i: 2, k: 1, h: 7, f: 9}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.9 and 31.3?\nAnswer: 122.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5, -5*r - 31 - 16 = -3*q. Suppose 3*v - 2*m - 15 = 0, m = v + 18 - q. Let o = -1 + 1. Solve o = 2*t - v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 5, -41 in decreasing order.\nAnswer: 5, 3, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - 6*q + 0*q)*(-7*q**3 - 13*q**3 - q**3 - q**3) to z*q**4 + g*q**3 + m*q**2 + r + a*q and give z.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 42401 + 8462 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1394 and 151\/102.\nAnswer: 4182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 - 1 + 1 + (-d + d - 2*d)*(-d + d - d**2) + 8*d - 146260*d**2 + 73167*d**2 + 73162*d**2 - 2*d**3.\nAnswer: -d**3 + 69*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07792172672 take away -2.24?\nAnswer: 2.16207827328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 323 - 323 + 13*l as q*l + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 7. Let a(v) = -11 + 6 + 4. Let r(d) = 3*a(d) + h(d). Let w(z) = z + 2. Let t be w(4). Give r(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 56*z**3 - 10126*z**2 + 18238*z + 3580 = 0?\nAnswer: -5\/28, 2, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10134 by -3.\nAnswer: -3378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267020 divided by 4.\nAnswer: 66755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from {v: 1, f: 1, w: 1, l: 1, y: 2, z: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021002022111 (base 3) in base 16?\nAnswer: -a3cbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 8. Let q be (16\/20)\/(2\/10). Let y be b(q). Suppose -12 = -y*i + 8. Calculate the greatest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18360, -18185, -17812, -17175, -16208?\nAnswer: -14845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, -0.5, -4, 0.2 in increasing order.\nAnswer: -87, -4, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 - -172715.6829182.\nAnswer: 172715.7229182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442744697 + 17*y + 442744697.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28859 - -48086.8.\nAnswer: 19227.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917901046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 0*y - 18*y - 4*y. Let n(p) = -11*p**2. Give n(c(o)).\nAnswer: -4400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/475165 - 359708753\/525532490. Let o = d + -8\/79. Calculate the common denominator of o and -13\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 - -113. Find the second derivative of 6*z + 11*z + 2*z**2 + 13*z + c*z**2 wrt z.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 20 = 3*r, -r + 3 = -3*s - 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2020 (base 3) to base 4\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/(-8) + (-3)\/12. Let p = m + 7. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 c when three letters picked without replacement from oocoocoooocoooooococ?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.26 (b) 2\/5 (c) 4\/3 (d) -5\/12 (e) 3\/4 (f) -6 (g) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-171) + 291\/57. Solve -4 = -3*j + 5*n, t*n = 5*j + 2*n - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 14.59212 centuries?\nAnswer: 1459.212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 179 (b) 0 (c) 3 (d) 37 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22672, 181519, 612682, 1452319, 2836588, 4901647, 7783654, 11618767?\nAnswer: 16543144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 30812708446.077 - -0.1\nAnswer: 30812708446.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 5085 and 15259\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/9 + 2*b**3\/9 - 2*b**2\/3 - 10*b\/9 - 4\/9.\nAnswer: 2*(b - 2)*(b + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-3) - (-13 + -4 - -9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10062 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10 = 8*q - 2*x, -q + 5 = x. Solve -5*o = 4*s + 6, 3*s + 1 + 11 = q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 364835848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-182))\/(324\/(-24) - -12). Which is smaller: k or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -43.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -440 + 441.965. Let y = i + 0.135. Let m be -2 + 14\/(34\/4 + -1). What is the closest to y in m, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(3)*3 - (sqrt(9)\/(sqrt(48)*-3))**2) + -5.\nAnswer: -241\/48 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (156\/(-42) - -4) + 24\/14. Suppose -3*p + 38 = 4*q, -4*p - l*q + 78 = 14. Calculate the remainder when p is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-257)\/(-4) + (-3)\/12. Suppose -4*g + d = -8. Calculate the highest common factor of g and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-2 - 45\/(-24)). Let w = d + -149\/88. What is the closest to 2 in 3, w, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 23 = -15*n + 4*m, 18 = 4*n + m. Suppose -n*h = 10, 16*d - h = 11*d + 8602. Does 40 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2 - 3*v + v + v. Let k = -13458 - -13467. Give t(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160139 plus 18962?\nAnswer: 179101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*z = 54*z + 1365. What are the prime factors of z?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-11)*(-8)\/24?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 119*r**3 + r**2 - 4*r + 4. What is the tens digit of c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 434, -0.1, -40041?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 274 - 259. Solve 3*x + 3*f = i, x - 5*f = -3*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*k + 4*i = -71*k + 61, -28*k + 2*i - 23 = -29*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/27 (b) 1\/4 (c) 0.04 (d) -1\/3 (e) -97 (f) 1\/2 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 39*t**3 + 2*t**2 + 11*t - 18. Let i(m) = -78*m**3 - 4*m**2 - 20*m + 32. Determine 6*i(q) + 11*l(q).\nAnswer: -39*q**3 - 2*q**2 + q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - j. Let x be f(-1). Let k(d) = -d**2 - 6*d + 10. Let u be k(-7). Suppose 6 = u*t - x. Solve t*c + 5 = -5*l, -3*l + 4 = 4*c - 7*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d*d**(-10\/11))\/d))\/(d*d**(-1\/20)\/d))\/(d**(-8\/7)*d*d\/(d\/d**3)) assuming d is positive.\nAnswer: d**(-2923\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a week in minutes?\nAnswer: 64260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*k, 2*t + 6*k = k + 3146. Is t at most 1578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 842135 = -5*i + 1251871, -5*i + 2094008 = -4*m. What is i rounded to the nearest ten thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/300 and -785*17\/5100*(-3)\/(2 - -1).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 261, -5, 760 in descending order.\nAnswer: 760, 261, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 + 94768*d\/5 + 3983784\/5.\nAnswer: -2*(d - 47426)*(d + 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72*o**2 + 5*o - 1756 wrt o.\nAnswer: -144*o + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4410*x + 108 + 8790*x - 4372*x. Calculate m(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1915.\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, r: 4, a: 1, v: 1}. What is prob of picking 1 k and 1 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -187.7 and -1419396.\nAnswer: -1419583.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyky when four letters picked without replacement from yyyk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-253*y + 18*y - 568*y)*((y - y + 2*y**2)*(2*y - 3*y - y) + y**3 + 0*y**3 + 0*y**3) to the form q*y**3 + n*y**4 + u*y + a + k*y**2 and give n.\nAnswer: 2409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i + 5. Let k be c(-4). Let l(g) = -g**3 - 20*g**2 - 7*g + 231. Let u be l(-19). Solve -u*o + 8*o = k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 31584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2723652 is divided by 971?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -1\/14*l**4 + 2\/3*l**3 - 6\/7*l**2 - 14 + 0*l. Let p(y) = 0. What is y?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 16*h - 8. Let b be x(12). Suppose 4*f + 5 = 5*m + b, -2*m = -5*f + 31. Suppose 73*a**5 - 3*a**3 - 33*a**5 - 37*a**f = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4 - 15*z**2 + z + 3*z**3 - 9*z**2 + 27*z**2 = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (1 - (0 - 2))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1616.1015199 and 0.7.\nAnswer: 1616.8015199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 15*k**2\/2 - 15*k - 155. Let t(p) = -7*p + 8. Determine 11*t(y) + 6*z(y).\nAnswer: 13*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 393*c = -5*b - 432*c + 281, -2*c + 12 = 2*b - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 22. Calculate the greatest common factor of h and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 12:41 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 262, 520, 812, 1144, 1522?\n\"Answer: t**3 + 11*t**2 + 218*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/12*(-466)\/1165.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -674090.53+3\nAnswer: -674087.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Suppose -9*n = -8*n. Suppose -6*q + 4*q - 8 = n. Sort 3, g, q in descending order.\nAnswer: g, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-5))\/(-1))\/((-18)\/20)*3099\/1033.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 32. Let i = -104 + 198. Calculate the remainder when i is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782141343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.033, -0.5, 5, 4 in ascending order.\nAnswer: -0.5, 0.033, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 20*c**2 + 37*c + 40. Let z be g(18). Suppose -52*w - 24 = -z*w. Solve 0 = 4*f + w, -4*f = -5*r + 3 - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((h\/((h\/h**(-6\/11))\/h)*h*h)\/h)\/h)\/h)\/h)**(-2\/27))**40)**(1\/24) assuming h is positive.\nAnswer: h**(170\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 69*m + 4. Determine b(-15).\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2548639 rounded to three dps?\nAnswer: -1.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 733926 to the power of 1\/2, to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 195 + -123. Let y = w + -67. Calculate the remainder when 5 - (-2)\/(-2)*-1 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2042409*v = -2042557*v - 10804 for v.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**2 + 204394488*x + 2611069170298884 = 0?\nAnswer: -25549311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 747.3194 centuries?\nAnswer: 7473.194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 + j**4 + 0*j**4)*(-2*j - 1 + 0*j + 2).\nAnswer: 4*j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*q = 174*q - 34. What is the highest common factor of 85 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*n + 364, 360 = -10*n + 12*n + 2*r. What is the highest common divisor of 391 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10181121323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7707 + -4440. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3632989.\nAnswer: 3632989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92209 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eepeememdeeeemm. Give prob of sequence edep.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 - (1970\/(-35) + 0). What is the greatest common divisor of 84 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 922, 923, 924, 925, 926?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -83 in 4\/9, -4\/7, 1, 14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*b + 1725127 - 5776720. What is the ten thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**3\/6 - 2*s. Let y(w) = -w**3 - 6*w**2 - 8*w - 11. Let o be y(-5). Determine k(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 229*w**2 - 4*w - 3. Let j be t(-3). Let p = j + -1310. What is p rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*f - 25 = 5, -f - 4 = 0. Suppose 4*z - 4*t + 4 = 2*z, 0 = -4*z - t + y. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 101224, -12, -3 in increasing order.\nAnswer: -12, -3, 101224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 6144618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 5 - -5) + (-15 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 652.\nAnswer: 3\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2840 and 288828?\nAnswer: 2888280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36592640 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 584, 1297, 2292?\nAnswer: 3569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 + 76*z - 343. Let g(h) = h**2 + 25*h - 114. Let v(r) = -6*c(r) + 21*g(r). Factor v(f).\nAnswer: -3*(f - 16)*(f - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 20 - 145 + 48 - 2*x.\nAnswer: -2*x - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149*h**2 - 105*h**2 - 86*h**2)*(87 + 3*h - 87).\nAnswer: -126*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3118815 divided by 9901\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, l: 10}. What is prob of sequence bbl?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (26*(-747)\/(-32370))\/((-2)\/(-15)*(-54)\/(-128))\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from oeos.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/(-27) - (-1 + -1). Let a be (-1)\/(-3) - (-5)\/3. Let z be (-1)\/(-4)*8\/(-5). Sort a, s, z in ascending order.\nAnswer: z, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34340 - 15477. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-60)*-232)\/8?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.18.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Let s(n) be the first derivative of 9 - 6*n**2 + n**2 + 5*n**2 - 3*n**2. Determine s(g(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1937 - -20938?\nAnswer: 1c001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.01067, -0.5, -2\/5, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 + 0.4. Put 0, 0.2, t, 0.5 in increasing order.\nAnswer: t, 0, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1301, -2255, -3209, -4163, -5117, -6071?\n\"Answer: -954*d - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6792)\/(-2830) - (1 - -2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (2 - 10)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 50, 43, 16, -37, -122?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**2 - 4*v**2 - 32*v**2)*(0 + 2 - 4)*(2*v + 0*v - 4*v)*(2*v + v - v).\nAnswer: -336*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2 and -52\/1529.\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + 3*(sqrt(30) + sqrt(30)*-1))\/(sqrt(10) + sqrt(40)*4).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 3. Let d be n(-5). Suppose 4*r - 5 = 2*f + 7, -5*r = -f - 12. Let v = 4.4 + -4. Which is the closest to f? (a) d (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (9 + -4 + -2). Is (-2)\/(-12)*w - 3030\/(-36) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 13*v**2 + 30*v + 5. Let u be j(10). Solve 4*y + 4 = p, 0 = -u*p + y + y - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11 + 71*v - 7*v**3 - 14*v**2 + 8*v**3 - 104*v. Determine q(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + 18*i + 4. Let c be d(-5). Calculate the common denominator of -39\/7 and (c\/(-22))\/((-54)\/(-142)).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -11013?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 - (-12)\/24. Let f(u) = 8*u - 2*u + 0 - v. Determine f(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1098 - 893 = -19*m - 258*m + 502 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*g - 182 - 102, g = h - 72. Let c be 42\/g + 126\/(-15). Is 39 a factor of c*19*(-5)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-525)\/70*((-45)\/36)\/(1*(-1)\/(-8)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*4\/12*11. Let x(i) = -i. Let q be x(-7). Suppose -5*g + q*g - 22 = 0. Calculate the greatest common factor of g and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqq when three letters picked without replacement from {e: 3, q: 3, a: 2, t: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -85288188 divided by 1102\nAnswer: -77394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwswvswvws. What is prob of sequence wws?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*p - 0*p. Let l be (8\/p)\/1*18. Suppose v - 48 = 2*r, 3*r + 144 = v + 2*v. Calculate the highest common factor of v and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 14*h + 2. Let l be g(-6). Suppose 10 = 3*m - l. Calculate the remainder when 11 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185*m**2 - 11*m - 3*m - 6*m wrt m?\nAnswer: 370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 - o**4 - 3*o**4 + (-2*o**4 - 3 + 3)*(2 - 3 + 3))*(-8 - 4 + 1).\nAnswer: 66*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.5 + -16. Let f = 0.7 + n. What is f rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*n**3*y - 2*k**2*n + 1806*k**2*y + k*n**3 + 6*k*n - 2*n**3*y - 2*n*y wrt k?\nAnswer: 2*n**3*y - 4*n + 3612*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 12:42 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2. Let b(k) = -47*k**2. What is b(f(z))?\nAnswer: -47*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -270 + 124. Let v = m + 146.000305. Round v to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**2 - 57 - 12533*y + 12533*y as d*y**2 + w*y + o and give o.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82304, -82298, -82300, -82304, -82304, -82294?\nAnswer: -82268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxggggxgxxxgg. What is prob of sequence xgxg?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1. Let l = -27 + 28. Let n(k) = k**3 - k**2 - 3*k + 1. Let m(y) = l*n(y) + 4*q(y). Determine m(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 15*t**2 + 14*t + 174. Calculate s(-14).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 156*i**2 + 663*i + 2. Determine q(-4).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 95\/6*h**3 + h**2 + 1\/30*h**5 + 0*h - 2 + 0*h**4. What is the first derivative of q(c) wrt c?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25.407558 months?\nAnswer: 0.21172965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1431.6 + -1526.6. Which is the third biggest value? (a) i (b) -2\/3 (c) 0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 21*v - 10. Suppose 3*w = v*w + w. Solve w = -3*i - 3 - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803652 is divided by 102?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 198 - 167. What is the remainder when 76 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*u = 80*u + 34200. What is the greatest common divisor of 120 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((6\/15)\/(4*11\/(-165))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*o - 4. Let b be 2 - (o + 0\/(-2)). Let l be 17\/8 + (-315)\/2520 - (-1 + 2). Sort b, -3, l in ascending order.\nAnswer: -3, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10791.\nAnswer: 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 + 933*m - 18656. Calculate g(21).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76127 is divided by 1410.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26398*s = -27069*s - 41602 for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**3 + 3*z**2 - 6. Let u(j) = j**3 + 9*j**2 + 25*j + 36. Let n be u(-6). Let o(v) = -11*v**3 - 9*v**2 + 17. Calculate n*o(m) - 17*s(m).\nAnswer: -2*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by -471545?\nAnswer: -19\/94309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/60 - a**4\/3 - 6*a**2. Let f(x) = -x**2 - 9*x. Let i(n) = -5*f(n) + 6*k(n). Calculate i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*z = -8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/31))**(-7)*(j*(j*j**(1\/5))\/j)**(10\/3) assuming j is positive.\nAnswer: j**(110\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 150531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-315)\/1305*-29?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 1 = 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let a = h + 1. Let v be 22*1892\/968 - 38. What is the nearest to a in -0.5, v, -4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738*z + 761*z - 153 = -4*j + 108, 0 = 4*z - 2*j - 40 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 9.3. Let i = 15 + m. Let v = i + -5. Which is the second biggest value? (a) 3\/5 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1133001 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56441*b + 15324*b + 3 - 3.\nAnswer: -41117*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 132*i - 2316. Let x be (-2)\/21 + (-1804)\/462. Let a(m) = -m**2 + 133*m + 2315. Let d(t) = x*a(t) - 3*j(t). Factor d(w).\nAnswer: -2*(w + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/42 and 67\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1025050 (base 11) to base 9.\nAnswer: 3354442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9662 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pprw when four letters picked without replacement from {c: 4, w: 2, j: 3, r: 1, k: 3, p: 3}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002674 to six decimal places.\nAnswer: -0.000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + (100 - (120 + -66)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -79. What is the greatest common factor of h and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from bivvibivv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 70*s + 65 = -63*s + 130*s, 3*j - j + 50 = 2*s for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 73 = -7. Let p = c + 71. Find the third derivative of -15*a**p - 8*a**2 + 3*a**2 - 5*a**2 wrt a.\nAnswer: -900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 11:07 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -30, -1\/53, -4 in increasing order.\nAnswer: -30, -4, -2\/7, -1\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11866 * -0.4\nAnswer: -4746.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -983 - -1799. Suppose 3*y = 4*z + z + 494, -5*y + r = -z. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3087) - sqrt(63) - 2*sqrt(448) - (1 + (sqrt(21)\/sqrt(3))**2 - sqrt(448)).\nAnswer: -8 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3*(7 - 4). Let l be (6\/(-12))\/((-1)\/6). Suppose 0 = -2*v - l*v - 2*u - 35, -u = 5*v + 30. Put s, 3, v in descending order.\nAnswer: 3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -2\/5 (c) -49\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*p - 0. Calculate the remainder when 33 is divided by (-27)\/p*22\/(-33).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/117, -2, 1, 1.1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -602, -3, -5, 5, -4, -100, -2 in descending order.\nAnswer: 5, -2, -3, -4, -5, -100, -602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -15) + (7 - -8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5976 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.109 + 51.891. Let k = u + -33. Let h = k + 1. Is 1 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 5 = -v. Let m(c) = c**2 - 7*c + 5. Let f be m(5). Put -4, f, v in descending order.\nAnswer: v, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14169237 - 229.4.\nAnswer: -14169466.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42773874 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 62 (c) -0.3 (d) 985\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + x = 14, -x + 10 = -p + 4*p. Suppose -188 + 36 = -p*w. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8769791*r. Let z(y) = 2*y**2. Give s(z(g)).\nAnswer: 17539582*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 13472183387.\nAnswer: 13472183404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-808)\/3 - 10\/15. Let f = r - -381. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 412.229 * 524.\nAnswer: 216007.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -5\/12429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((((z*((z**(4\/3)*z)\/z)\/z)\/z)\/z)\/z))\/(z\/(z\/((z\/(z*z**4))\/z)*z)*z) assuming z is positive.\nAnswer: z**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, p: 2, k: 5, r: 7}. What is prob of sequence nnn?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111010011 - 100?\nAnswer: 11111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-10))\/(2\/10). Let j be 7\/30 + y\/(-10). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**3 - v**2 + 5*v - 6. Determine c(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-30)*460\/(-138)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-1*3 + 2 + 5 + (sqrt(7) - sqrt(63)*-3).\nAnswer: 7 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, s: 5}. Give prob of sequence srr.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10791 divided by -981?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - 21. Suppose 0 = -3*g - i + 13, 2*g - 10 = -5*i + 16. What is the remainder when q is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-255422)\/(-24))\/((-6)\/(-9)). Let n = -2712691\/168 + x. Let o = n - -183. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -618, -1\/5, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**4 - 900*u**3 + 40190*u**2 - 548100*u + 508805 = 0?\nAnswer: 1, 29, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 15*f + 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/53 and 0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.9 + 7.1. Which is the third smallest value? (a) m (b) 1\/3 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 1, -1.\nAnswer: -1, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1952432391 plus 3.535?\nAnswer: -1952432387.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-7 - (-6)\/(-3)). Suppose -2*w - x - 7 = 0. Let z = -2 - w. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -31933468408?\nAnswer: -31933468407.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -325169*c**4 - 246620*c wrt c.\nAnswer: -3902028*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 106, -0.3, 2, 0, -1107, -0.2, -4?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**3 - 5*w**2 + 7*w. Let g(p) be the second derivative of -3*p**5\/20 - p**4\/3 + p**3 - 31*p. Let u(l) = -6*g(l) + 5*z(l). Calculate u(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385691356 - 51*k - 385691356.\nAnswer: -51*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 + 7*v - v**2 - v**2 + (-63*v + 7*v + 33*v)*(-7*v - 4*v + 6*v) to l*v + j*v**2 + k and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(((p\/(p*p*p**8*p))\/p)\/p))*p*p**(3\/11))\/(p**(-3\/5)*p)**49 assuming p is positive.\nAnswer: p**(-1613\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5\/23 + 22*j**4\/23 + 18*j**3\/23 - 238*j**2\/23 + 196*j\/23 = 0?\nAnswer: -7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let k(c) be the second derivative of 35*c**4\/6 - 41*c**3\/6 + 2*c**2 - c. Let z(a) = -2*k(a) - 6*p(a). Factor z(b).\nAnswer: -4*(5*b - 2)*(7*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*g = g + 4, -2 = -3*s - 2*g. Let x be (4844\/(-24))\/(0 + s\/4). Let d = -2689\/6 - x. Find the common denominator of d and -79\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 301855 and 2920.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 + 275*g + 93. Give a(-55).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10744 + -10594. Let j = -2 + 10. Let p = 25 - j. Calculate the remainder when z is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 + o**2 + 395*o - 47*o - 3*o**2 + 5*o**2 in the form h*o + x*o**2 + l and give h.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -595174? (a) 0.5 (b) -0.21 (c) -1 (d) 3 (e) -3 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from mtcttmzct.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(891))**2 + 3.\nAnswer: 126*sqrt(11) + 943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/((-1)\/3). Suppose -4*k = -u*k - 10. What is the smallest value in k, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 2*g + 1. Let v be i(-1). Which is bigger: 1\/10 or v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 329 + -340.21. Let q = o - -5.21. Sort 3\/5, 4, -8, q in descending order.\nAnswer: 4, 3\/5, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7856*i**3 - 3918*i**3 + 54383*i**2 - 3936*i**3 - 54383*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243723 divided by -33.\nAnswer: -81241\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccfcffccc. Give prob of sequence cf.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 350\/19, 2, -2\/3 in descending order.\nAnswer: 350\/19, 2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*w + 53*w = -36. Suppose -w*i + 6*i - 1674 = 0. Does 62 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - p + 98 = -10*n, n - 3*p + 19 = 0. What is the nearest to n in 2\/23, 1, -3\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -195*d**2 - 4*d - 25. Let w = 249 + -224. Let g be o(w). Round g to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 2*r - 5. Give a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/789?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5128*h**3 - 5*h**2 - 68*h + 84.\nAnswer: 30768*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b - 8. Let w be j(-6). Suppose 0 = 34*i - 10*i - 1728. Let x = i - w. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(136) - (sqrt(136) - (sqrt(136) + sqrt(136)*-1 - sqrt(136)) - sqrt(136) - sqrt(136))*5)\/(1*(sqrt(200) - -2*sqrt(200) - sqrt(200))*-2).\nAnswer: 9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0229328 - 0.0238. What is o rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 428, 1599, 3528, 6197, 9588?\n\"Answer: -3*h**3 + 397*h**2 + h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**4\/12 - 2*x**3\/3 + 3*x. Let j be w(5). Let o = 1 + 5. Solve 0 = 2*k - j*k - o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574704 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a - 62?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 35.7582, 5 in ascending order.\nAnswer: -2, 5, 35.7582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9512 = 9*q + 274*q - 5339 - 8921 for q.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4536496.\nAnswer: 2, 37, 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**3\/11 - 50968*p**2\/11 + 19176392*p\/11 + 3505152 = 0?\nAnswer: -2, 384, 25102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57\/4*j**2 + 189\/4 - 495\/8*j + 3\/8*j**3 = 0.\nAnswer: -42, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 9 = i, -4*i + 3*o + 39 = 6*o. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*u. Let q = 0 - -0.2. Let x = q + -0.1. Which is the nearest to x? (a) u (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 12:26 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**2. Let n(k) = -31*k**2. What is n(v(p))?\nAnswer: -1116*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 4, i: 5, a: 2, j: 2, f: 1}. What is prob of sequence jja?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 199079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsvv when four letters picked without replacement from {d: 2, w: 1, r: 4, v: 4, s: 3}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-27))\/(1\/(-15)). Suppose -68 = g*t - 6*t. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12201020000 (base 3) to base 8.\nAnswer: -333454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 q, and 1 x when three letters picked without replacement from {n: 2, x: 1, b: 7, q: 1, c: 1, p: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + j - 21, -1 = -2*j - 7. Is 19 - (-5)\/((-10)\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/6)*p)\/p*p*p\/p**(-2))**(22\/7)*p**(-5)*(p*p**(-6)*p)\/p*p**(-1\/4)\/(p*p**(2\/13)) assuming p is positive.\nAnswer: p**(1847\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 507*b**2 + 374*b + 2926. Is 44 a factor of v(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 101.41765628?\nAnswer: -102.41765628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*n - 3 = 0, 3*n + 0 = -3. Suppose -3*x + x + 36 = k. Suppose 0*p + 32 = 2*p. Calculate the smallest common multiple of p and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22294 and -0.2.\nAnswer: 22293.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(1900) + (5*(sqrt(1900) + -1 - sqrt(1900)))**2) + (4 + (3*-2*sqrt(76))\/sqrt(4))*-1.\nAnswer: -54*sqrt(19) - 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + z**5 + 2*z**5 + 3*z**5 + (9 + 10 - 18)*(39*z**5 - 10*z**2 + 10*z**2) + 3*z**2 + 4*z**5 - 5*z**2 + 2*z**2.\nAnswer: 49*z**5 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2722 + 380 = -103*n - 385 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 472923163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.936916 centuries to decades.\nAnswer: 59.36916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 44*u**3\/3 + u + 2. Let w be m(-1). Let x = 8 + 10. What is the greatest common factor of w and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4249 to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -362 and -0.31.\nAnswer: -362.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -197, -1, 36, -18117 in decreasing order.\nAnswer: 36, -1, -197, -18117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - 73*b + 27. Let u be d(24). Suppose 9*o - u*o - 3594 = 0. List the prime factors of o.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millennium in years?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1056024154 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l - 23*l + 44*l - 25*l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -90, -136, -182, -228?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1634.6932 and 1583?\nAnswer: 51.6932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/76*(2\/(-2))\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by (2\/9)\/(-1) - (-4000)\/180?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l - 16. Let q be h(6). Suppose 227 = 3*f + q. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-8 - (8 + -2 + -6 - (-5 - -8)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16502205 = 108*g + 16502637 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**3 + 6*v**2 + 23*v - 2. Let n(u) = 6*u**3 - 7*u**2 - 25*u + 3. Determine 6*n(d) + 7*s(d).\nAnswer: d**3 + 11*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 241 - 377. Let y = 300 + h. Suppose 3*s = 5*s, 2*v - y = 5*s. List the prime factors of v.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Let m = 115.62 - 115. Let a = m - 0.32. Sort -0.1, c, a in descending order.\nAnswer: c, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139.8 - 187.8. Let d = o - -327.597591. Round d to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + y. Suppose -q - 23 = 3*t - 2*q, t = 3*q - 21. Let z be (-3)\/(-5) - ((-140)\/(-25) - 6). Let r(v) = 8*v**2 + 7*v. Calculate t*j(b) + z*r(b).\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 15*x + 23. Let j(c) = -7*c - 142. Let u be j(-19). What are the prime factors of i(u)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 935*u - 1918*u + 984*u + 1595*u**2 + (-u**2 + 3*u - 3*u)*(0 + 0 - 2) as y + f*u**2 + m*u and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 206, 312, 418, 524, 630?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-20))\/((-22)\/55)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = 14*v + 8*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6728 = -t + 3*t, -4*q + 4*t + 6704 = 0. Suppose 10*s = 3*s + q. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 0.0862?\nAnswer: 0.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15052 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -284505, -284502, -284499, -284496, -284493?\n\"Answer: 3*z - 284508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 28, 68, 144, 268, 452, 708, 1048?\n\"Answer: 2*k**3 + 2*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + -1)*3 - ((-2*(sqrt(2299) + 0) - sqrt(2299) - sqrt(2299))**2 + sqrt(2299))) + -2 + -5.\nAnswer: -36794 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 33 + 41 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246145 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -13307124605*i**2 + 825424*i - 64\/5 = 0.\nAnswer: 8\/257945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i - 3*a = 1781, -4*a = -3*i + 2673. Let t = i - 410. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*k - 31 = 0, -1044 = -4*i + 2*k - 1074 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 3. Let m be n(8). Suppose 44 = -4*c - 0*c. Let d = c + m. What is the highest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(80) + sqrt(80)*-2 - sqrt(80) - (sqrt(80) + -1 + 2)**2) + -3 + sqrt(80) + sqrt(80) + -2*sqrt(80) + -4.\nAnswer: -92 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -93?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12062 + -12062.1. Let y = 2 + 0. What is the nearest to y in -3, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j + 2. Let p be 90\/(-20) - (-1)\/j. Let v(r) = -2*r**3 - 3*r**2 + 4*r. Is 16 a factor of v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 14*r**2 + 20. Suppose 7*v - 8*v + 29 = -3*k, -34 = -v + 4*k. Give q(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13432 divided by -146.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -380 + 400 - (3 - 52)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (21 + -31 - (-3 + -32))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-1)\/(-22)*-1). Let k(x) = -x**3 + 15*x. Let y be k(3). Suppose 0 = y*t - v*t + 344. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 4377525*g**2 + 958094668440*g - 18205379021180.\nAnswer: 5*(g - 19)*(g + 437762)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169.2 - 169. Let p be (3\/20)\/(81\/(-72)). Put 0.1, d, -0.9, p in descending order.\nAnswer: d, 0.1, p, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 10. Let t be j(-7). Suppose 0 = 2*m - 4. Let h = m - t. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182670 divided by 6?\nAnswer: 30445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {a: 4, w: 4, d: 1, e: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 36 = 5*d. Let c(w) = w**3 + 18*w**2 - 4*w - 45. Let o be c(-18). Let f = d + o. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*z**4 + 3*z**4 - 17 - 5*z**4 + 7 with respect to z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*t + 36 = 0, 569*j - 565*j + t - 18 = 0. Solve 2\/7*d**j - 3\/7*d + 1\/7*d**3 + 0 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7838 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 7121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/12 and ((-2)\/(-136))\/((-12840)\/(-2144) + -6)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21cc2a (base 14) to base 6\nAnswer: 40345114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 249331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754868?\nAnswer: 2, 17, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = -26. Let t = -6 + a. Solve 5*z = 5*y - t*z - 10, -5*z = -3*y + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3910*i**2 + 64 - 10*i**3 - 4*i**3 - 3910*i**2 with respect to i.\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23739 take away 5?\nAnswer: -23744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-184)\/(-12) + 4\/6. Suppose 0 = 2*v - g. Suppose 0 = -3*w + 6 + 39. What is the remainder when w is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.246789 less than -1?\nAnswer: -0.753211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1475 or 7.48?\nAnswer: 7.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32926*r**3 + r - 15349 wrt r?\nAnswer: 197556*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -2\/145944683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = -5*s, -3*y - 13 = -2*s - 6. Let u be 3\/(-3) + (0 - -1). Solve u = -v - s - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/2 - 27*f**3\/2 + 114*f**2 - 392*f + 480 = 0.\nAnswer: 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -362, 537, 3958, 11155, 23382, 41893?\nAnswer: 67942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037626064385 to 5 decimal places.\nAnswer: 0.00376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2379 + -49.\nAnswer: -2428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110111211 - 12?\nAnswer: 1110111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(72)*5 + sqrt(72) - sqrt(72)) - 3*(sqrt(72)*4 + sqrt(72)))*-6)**2.\nAnswer: 8640*sqrt(2) + 259344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6951 + 52802*l**2 + 17115*l**2 + 6951.\nAnswer: 69917*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -30, -6, -2, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 + 153.999755. What is d rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 + -117. Let v = 296.8 + -326. Let h = v - y. Which is the biggest value? (a) h (b) 0.01 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 13*l**4\/12 - 2*l**3 + 20*l**2. What is the derivative of r(a) wrt a?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 21*o + 99 = 0. What is the smallest value in 0.3, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llzz when four letters picked without replacement from {z: 2, l: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 6*z**2 - 3*z + 3. Let s be g(-6). Suppose 7 = 4*c - s. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + -3 + -7 + 7 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1316, 1288, 1260, 1232, 1204?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -2) + 2594 + -2561.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 5*z + 0*z)*(z - 3*z + 5*z) + 18*z**2 + 2*z**2 - 56*z**2 + (0 + 2 - 3)*(27*z**2 + 47*z**2 - 9*z**2).\nAnswer: -107*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 69*v - 248. Let q be c(-5). Let z = 593 + q. Solve -4*w - 10*w - 28 = z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -67.044. Let a = -0.045 + k. Let x = a + 0.621. Round x to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8515343*m**2. Let v(i) = i. Calculate u(v(y)).\nAnswer: -8515343*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -2*z**6\/105 - z**5\/70 - 23*z. Factor x(r).\nAnswer: -2*r**3*(2*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {m: 1, z: 1, j: 8, c: 1, f: 2, d: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/(-8379)*1350\/(-750).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 6. Let b be 24*((-3)\/(-9) - 0). Let z be c(b). Factor -1\/3*r**5 + 2\/3*r**4 - 2\/3*r**z + 0*r**3 + 0 + 1\/3*r.\nAnswer: -r*(r - 1)**3*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*w + 15 - 8, 2 = 2*y + 4*w. Solve 4*l + 3 = f, 4*f - 4 = y*l + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 22*y**2 - 56*y - 37. Calculate the remainder when l(6) is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1720 - -9670. Suppose 83*u - 88*u = -x. Round u to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2 + 172*k + 1632. Calculate n(51).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.57944 weeks in milliseconds?\nAnswer: 35428845312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 8*t = 5*t. Solve 0 = -5*d - 4*z + 5, 5*z = 4*d - 4 - t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 + 11*b + 1. Let x(s) = -2*s + 4*s + 17*s**2 - 16*s**2. What is 11*x(u) - 2*y(u)?\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {n: 4, c: 2, l: 2, b: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110053 (base 7) in base 5?\nAnswer: 1103441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 178*v - 257*v + 1278378. Is 174 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27294 is divided by 6637.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1074\/9)\/((-2)\/12). Let k be -2 - q\/(2 - 4). What is k rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 14 = 3*n. Suppose -4*p - 5*z - n = 0, 0 = -0*p + 4*p + 2*z + 18. Let i be (4\/2)\/((-3)\/p). Solve i*c - 3*h = 3*c + 11, -3*c + 17 = -5*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -2, 36, -165, 1 in descending order.\nAnswer: 36, 2, 1, -2, -3, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-24)\/(o\/(o**(-16\/7)\/o)))**(-34) assuming o is positive.\nAnswer: o**(6732\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 74. Let c(t) = -2*t. Let h be (3\/2)\/(9\/12). Let y be (h + -3 - 1)\/1. Let o(d) = -4*d - 1. Give g*c(a) + y*o(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -126, 1, -5, 2.\nAnswer: -126, -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 35*a - 135. Determine j(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/19))**(3\/11) assuming i is positive.\nAnswer: i**(-6\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*i**2 - 12*i**2 - 6*i**5 + (-i**3 - 2*i**3 + 0*i**3)*(-3*i**2 - 3*i**2 + 5*i**2) + 3*i**5 + 0*i**5 - 2*i**5.\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -165, -512, -1177, -2262, -3869, -6100, -9057?\nAnswer: -12842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172061.00000180123 + 172061. What is r rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -448\/11 in -144\/11, 6, 2?\nAnswer: -144\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 2 (b) 7 (c) 0 (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxr when three letters picked without replacement from ytyesttyyyyrx.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 435764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 0.4, 7, 5, -6 in decreasing order.\nAnswer: 76, 7, 5, 0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 20. Calculate d(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 59. Let z = 0.6 - 0.2. Which is bigger: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 + -3.08. Let y = -3 - w. Let j = -70846\/9 - -7872. Which is bigger: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 152, -38, 0.\nAnswer: -38, -7, 0, 4, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-9))\/2)\/(2\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5667294\/(-4056) - -1 - 3\/(-12). Let a = l - -1396. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 522 - 255. List the prime factors of v.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 1649. Let x(w) = 58*w - 2. Calculate x(u(s)).\nAnswer: 116*s**2 + 95640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p - 5*q - 56, 2*p - 88 = 4*q. Let h be (-16)\/(-70) - p\/84. What is the second biggest value in h, 2\/13, 1\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3003119, -6006235, -9009337, -12012419, -15015475?\n\"Answer: i**3 + i**2 - 3003126*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -11*j**4\/6 - j**3\/3 + j**2\/2 - 70*j - 1. Determine m(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7363 + -7190. What is the remainder when y is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - m**2 + m + m**4 + (102 - 3*m - 102)*(-4*m**2 + 3*m**2 + 3*m**2)*(-m - 5*m + 2*m).\nAnswer: 25*m**4 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 322, 305, 278, 235, 170, 77, -50, -217?\n\"Answer: -o**3 + o**2 - 13*o + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 + (-184)\/12)*(-2189 + -1). Suppose -21*u = v - 37903. What are the prime factors of u?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718 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: Factor 3*k**2 + 27*k.\nAnswer: 3*k*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, d: 1, f: 3, w: 3, k: 1, j: 3}. What is prob of picking 1 f, 1 j, and 2 w?\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (3 - (4 - 1) - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217489 by 3.\nAnswer: 217489\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 6*t - 5*t + 5, 2*z = 4*t + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.3. Let m = 0.47 + 0.03. Let n be (-7 + 1216\/176)\/((-1)\/2). Which is the nearest to n? (a) 4 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (-3)\/((-15)\/25). Suppose 6*b + l*b = 3060. Find the second derivative of s**3 - b*s - 504*s + 1003*s wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 625168.38+0.9892\nAnswer: 625169.3692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -27 - -10) + (-4 - -26)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l - 6. Suppose -l*q - 5*f = -72, 0*q - 3*q - f = -60. Is 19 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from {b: 1, s: 1, x: 3, y: 1, e: 3, z: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5265 divide 3067457905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 10:30 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**18\/p)\/p*p*p)\/(p**1*p) assuming p is positive.\nAnswer: p**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-2)*s*s**(1\/6)*s*s*s*(s\/s**(-2\/5))\/s**(-1\/10)*(s**0*s**(1\/3))\/(s*s**(1\/2)*s*s)**(-7\/10) assuming s is positive.\nAnswer: s**(149\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6 = -24. Let l be (2\/13)\/(k\/(-8)). Let i = -446\/455 + l. Which is the smallest value? (a) 0.2 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 16*v**2 + v + 19. Let n be h(-16). Suppose n*u + 4*d = d - 312, -20 = -4*d. Let o = u + 102. Which is smaller: o or -22\/3?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 5*w**2 + 2*w. Let g(j) be the second derivative of -j**5\/10 - j**4\/3 - j**3\/6 + 12*j. What is 2*c(u) + 3*g(u)?\nAnswer: -4*u**3 - 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 15*w**3 - 7*w**2 + 11*w. Let r(f) = f. Let s(h) = -7*h**3 + 3*h**2 - 11*h. Let p(i) = -6*r(i) - s(i). What is -7*p(x) + 3*z(x)?\nAnswer: -4*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**2 - 370*j + 209. Give y(61).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/4 + 2 + (-987)\/60. Let g = l + 15. Let h be -4*((-8)\/10 + 1). What is the smallest value in h, g, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sffsplffll. What is prob of picking 1 f and 1 p?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 2397450*k.\nAnswer: -5*k*(k + 479490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 535355961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeefueenflluenruull. What is prob of sequence rfl?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-1 + 1 + -83). Let o be (-4)\/(-12) - t\/(-3). Suppose -72 - o = -5*w. Solve 0*l - 5*l = 3*u - w, 4*l + u - 9 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7113, 7096, 7063, 7008, 6925?\n\"Answer: -p**3 - 2*p**2 - 4*p + 7120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*w = 56*w + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*u + 2*h, 1 = -2*u + u - 3*h. Solve 8*t - 30 = u*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 4:58 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 950\/2 + 2 + 18 + -15. Solve 461*k + 152 = a*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432*n - 39 = -435*n. Let h be n*(0\/(-1) - -1). Solve 13*p + 13 = -h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(8\/3)\/s*s)\/s*s)\/(s*s\/(s*s**(1\/2))))**21)**19 assuming s is positive.\nAnswer: s**(1729\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m - 110. Suppose -11*d + d + 230 = 0. Let g be b(d). What is the nearest to 1\/2 in -3, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 + 5*b + 3. What are the prime factors of u(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**2 + 6*n**2 + n**3 + (4 - 4 + 2*n)*(5*n**2 - 4*n**2 + 0*n**2) - 4*n**3 - 1 + 1 + 3 - 3 - 6*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -838, -1667, -2496?\n\"Answer: -829*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6356 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1523 or 3047\/2?\nAnswer: 1523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 53 = 7*c. Suppose 105 = 4*j - 7*v + c*v, -5*v - 63 = -2*j. Let g = -39 + 63. What is the highest common divisor of g and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267.0118 hours in nanoseconds?\nAnswer: 961242480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -70*(-2)\/(-6)*5*51\/(-170)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57620 divided by 14405?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1996, -3453, -4910?\nAnswer: -6367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -2.5. Let i = -4 + d. Let k = i - 4. What is the nearest to 1 in 1\/3, -3, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 7:42 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3089002*x**2 - 7561330.\nAnswer: 6178004*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.05 - 0.05. Sort 1\/6, n, 0.1.\nAnswer: 0.1, 1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -537.08 - -551. What is m rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 5*y**3\/6 - 9*y**2 + 44*y. Let v be i(4). Solve -v*l + 9 = 3*q - 2*q, 5*l - 5 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.12638?\nAnswer: 0.012638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.683 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o + 10*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 8:01 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(99)*-2)\/(sqrt(36)\/sqrt(4)*3) + (3*sqrt(55))\/sqrt(5) + 3 + 3.\nAnswer: -sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 + 0*y**4 - 2*y**4)*(0*y - 4*y - 5*y) + (-2*y + y - y)*(0*y**4 - 2*y**4 + 4*y**4) + 4*y**5 - 2*y**5 - y**5.\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - 5. Let u = n - -10. What is the remainder when (-6)\/u*-23*16\/(-24) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*g - 199*g + 11057 = 60*g + 431 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*n + 3*b, -5*n - 294*b - 7 = -295*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 - 1. Let s(c) = -110*c**2 - 17*c + 16. Let l(q) = -2*g(q) + s(q). Let v be l(6). What is v rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -23*c - 1 + 1 + 24*c. Suppose -15 - 5 = -5*i. Let v = 57 - 56. Let w(x) = -6*x + 2. Give i*r(b) + v*w(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 + 5 + (9 - 8 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 4\/1)*((-5248)\/123 + 42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8990 = 2*j + 4*o + 3732, 0 = -3*o - 3. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 27.8. Let c = x - 5.2. Put 0, -0.2, c in ascending order.\nAnswer: c, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16741 + -2842. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.92451054 - 4.81851. Let l = 0.106 - y. What is l rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666.581 centuries in decades?\nAnswer: 6665.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:35 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1509 is divided by 199.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilttfff. Give prob of sequence flf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 + 3. Let h(z) = 2*z**2 + 1. Let j = 464 + -311. Suppose j = 33*w - 210. Let r = 1 - 5. Calculate r*v(b) + w*h(b).\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9182668?\nAnswer: 2, 11, 208697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 5*i + 1. Let z be c(6). Let j = 10 - z. Solve 22 = -j*r + 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12171 is divided by 869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -306 + 145 - 94*b + 161 in the form i + u*b and give u.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3990*t**3 - 6*t**2 - 6*t - 9. Let o be u(-4). Let r = o - -143441. What is r rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 42*u - 10 - 3 + 22 - 45*u. Give p(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*h**5 + 2*h**3 - 44*h**5 - 10 - 5*h - 46*h**5 wrt h?\nAnswer: 60*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1647\/5 + 330. Factor 0*v + c*v**4 + 3\/5*v**3 - 3\/5*v**2 + 0 - 3\/5*v**5.\nAnswer: -3*v**2*(v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, a: 2}. Give prob of picking 1 a and 3 y.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/2 + 2025*m\/2 + 3024.\nAnswer: 3*(m + 3)*(m + 672)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -27*p**2 + 29*p + 1. Let w be a(1). Solve 11 + 4 = w*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 114.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5\/2, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 22. What is the derivative of 7 - 3 + j**2 - o - 9*j**2 wrt j?\nAnswer: -16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57a - 1243?\nAnswer: -1801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 344*f - 5 - 2 - 8.\nAnswer: -344*f - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.803 + 0.197. What is the second biggest value in z, 0.01, 1\/6, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 1\/2 (c) 2 (d) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21\/3496 - -7265\/45448. Let s = 3 - 3.3. Which is the closest to -1? (a) -0.1 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*((-34)\/(-4) - 6). Let j(o) = 323*o + 36. List the prime factors of j(v).\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 302 and 73862?\nAnswer: 11153162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {o: 1, m: 1, h: 1, l: 6}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 3*p**2 - p - 2. Suppose 0 = -0*j - 3*j - 5*m + 16, 0 = 2*j + 3*m - 10. Let k be s(j). Solve -l - 10 = 5*d, -d - 2*l = 11 - k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(5\/2)\/(p*p*p**5) assuming p is positive.\nAnswer: p**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 29 - 17*z**3.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*r + r + 675 = 0, 2*r = 3*n + 405. Let j = n + 172. Calculate the remainder when 142 is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19456037 is divided by 1806.\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*2440\/192)\/((-1610)\/(-966)).\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18914059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*v + 532. Let a be 1*2\/10 + 1887\/15. Let b = v - a. Calculate the highest common factor of b and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 30*j - 214. Let w be p(12). Find the common denominator of (-37)\/(-8) + 2\/4 and 46\/(-3) - (-1 + w\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 1:59 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -846.1 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d**2 + 35*d + 3. Let s(p) = 2*p**2 - p + 1. Give -i(x) + 3*s(x).\nAnswer: -3*x**2 - 38*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160*h**3*q - h**3 + 161*h**2*q wrt h.\nAnswer: 960*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 41472200?\nAnswer: -41472184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/787 and -65\/13666.\nAnswer: 10755142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829481593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five halves of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 4:34 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/58824 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69952 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 19 = -4*m + 17, 38 = 2*n + 5*m for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 4*a + 4. Give v(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/60 + 4*s**3 + 20*s**2. What is b(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*w = 309*w. Solve w*q = 2*q - 4*g + 8, 3*g = 4*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from qqqqqqqhhqhhqqqh?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f. Let a(o) be the first derivative of -3*o**2\/2 - 15*o - 1. Let p(n) = 6 - 5 - 2. Let k(y) = a(y) - 15*p(y). Determine k(w(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(18) - sqrt(54)\/sqrt(3))*-6)**2 - (5 + sqrt(72) + (sqrt(2178) + -1 - sqrt(2178)) + sqrt(2178))**2.\nAnswer: -3054 - 312*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -1) + 1 + 2. Suppose -5*x + 2*x + 2*w - 101 = 0, u = -2*x + w - 67. Is x greater than or equal to -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 + 14 - 46)*(-2*l + l - l)*(0 + 1 - 5).\nAnswer: 320*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.6 in -0.10996, -1\/2, -2\/9, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 5*u - 1, 2*u = 2*h - 2. Suppose 2*k = r + 3, k - 18 = -5*r - 0*r. Suppose -5*i - 10 = -k*o, 7*i = o + h*i. 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 next in -461, -925, -1389, -1853, -2317?\nAnswer: -2781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*a, 2*a = 3*b + 3*a - 232. Let u be 4\/3*21\/14. Suppose -2*d = -5*d + 3*v + 249, b = d + u*v. Is d a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31816 is divided by 549?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1539) + sqrt(2299) + (-1*sqrt(2299) - sqrt(2299))**2 - (5*sqrt(114)\/(-1*sqrt(6)))**2.\nAnswer: 20*sqrt(19) + 8722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 550 - 484.3. Let r = x - 66. Which is the smallest value? (a) -1\/6 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97877 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.047 in -1, 0.385, -0.5, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2874)\/(-11920) - 120\/(-2400)*8\/(-2) and 91\/894.\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5894 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**4\/4 - 5*i**3\/3 - 5*i**2 + 9*i - 23. Determine q(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*i**3 - 14*i**3 - 10*i**3 + 10 - i**2 + 3 - 11*i**3 as d*i + q + g*i**2 + y*i**3 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*c + 24. Suppose -6*z = -2*z + c. Which is greater: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g**2 - 8*g + 0*g)*(7*g**2 - g**2 + g**2).\nAnswer: 7*g**4 - 42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6719533493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3730593 centuries in decades?\nAnswer: 3.730593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 149 - 298. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177.999999772 - -178. What is n rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*w = -22, -5*w = j - 0*j - 4. Let t be 3 - 0*3\/j. What is the third derivative of -t*z**4 + z**4 + 0 + 0 - 5*z**2 wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -185\/61322184 and 83\/297418?\nAnswer: 674544024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*17\/9*3. Suppose 2 = 3*x - l. Solve r = -2*r + x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y\/(y**(1\/2)*y))\/y)\/y*y)\/y**(-3\/8))\/(y**(2\/3)\/y**(-10)) assuming y is positive.\nAnswer: y**(-259\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*z + 5. Let d = 26 - z. What is the greatest common factor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -15*k. Let h(j) = 4677 - 603*j - 2331 - 2346. Determine h(c(q)).\nAnswer: 9045*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2 + 265067*w = 0. What is w?\nAnswer: -265067, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -51*l**4\/8 - 53*l**3\/6 - 244*l**2 - 2*l. Differentiate u(q) with respect to q.\nAnswer: -153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 5 (c) 1\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -11*s + 2. Let j be (-11)\/((-56)\/(-42) - 7\/3). Let d(c) = 42*c + 1 + 13*c - 12. Determine j*q(z) + 2*d(z).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.2 + -13.19999451. Round c to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231005783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/sqrt(40))\/(sqrt(242) - sqrt(242)*-1))**2.\nAnswer: 13\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*y = -122*y + 100*y - 2160 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**4\/4 + 44*p**3\/3 - 242*p**2 - 32. Solve g(n) = 0 for n.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 + -0.32?\nAnswer: 351.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2499 and 5.\nAnswer: 12495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 - 13*g - 5. Let c be m(9). Let s = -359 - c. Solve 3*u = s, 0 = -5*i - 4*u + u + 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-12) + (-42)\/(-9). Suppose -5*y = 2*h - 51, 4*h = -f*y + 62 + 58. What is the greatest common factor of h and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 101 - 6 + 13 - 135.\nAnswer: -u**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3872 and 94.\nAnswer: 3966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 314157 and 276?\nAnswer: 1256628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 - 2319 + 4629 - 2310.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7766 - -0.5.\nAnswer: 3.2766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 129. What is the greatest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*z + 15*z - z. Which is the second smallest value? (a) -4 (b) 0 (c) 27 (d) z (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f + 10 = 53*f. Suppose -26 = -f*z - 1. Suppose -j + 3*j = 2*p - 268, -2*p - z*j = -261. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 367, 418, 469, 520, 571, 622?\n\"Answer: 51*a + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1021 - 10.9691. Let f = -0.233 + n. What is f rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31956 by 31956.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35993 - 35990. Sort 2, -441, h in decreasing order.\nAnswer: h, 2, -441","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283*f + 1144*f**3 - 958*f**3 - 523*f**3 wrt f?\nAnswer: -2022*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295196383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 24 = 6*v, 172*l - 8 = 168*l - 2*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Suppose p*k - a - 42 = -4*a, -72 = -5*k - 4*a. Is (-4)\/k - (-442)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0*d**4 + 13\/60*d**5 + 0*d**6 - 1\/56*d**8 + 17\/210*d**7 + 0*d**3 - d**2 + 0*d - 55. Find the third derivative of o(g) wrt g.\nAnswer: -360*g**2 + 408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d**3 - d**2 - 2*d - 1. Let c be h(-2). Factor v**2 - 3*v**2 + 69 - 4*v - c.\nAnswer: -2*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 55. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvoxubxkoxokbv. Give prob of sequence kbo.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwx. What is prob of sequence xw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2644 + -2636. Let s(r) = -4*r. Let h(o) = o**2 - 13*o. Give d*s(q) - 3*h(q).\nAnswer: -3*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46117, 91943, 137771, 183601, 229433, 275267?\n\"Answer: m**2 + 45823*m + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1266439 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 10. Let z(o) = -1. Let w(g) = j(g) - 5*z(g). Give w(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -3.9. Let f = u - -4.1. Let g(s) = -4*s**2 + s - 1. Let b be g(1). Sort f, 3, b in decreasing order.\nAnswer: 3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 41 = 5*q, 17*g - 12*g = 3*q + 112. Suppose -5*c + g = 3*z, 0 = c + z + 3*z - 8. Solve -4*o + 2*o = t, 3*t + 2*o - c = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48201 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2874 - 2874.3. What is the smallest value in -4, l, -2, 0.1, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1263 and 3789?\nAnswer: 3789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.056 and 0.4?\nAnswer: 0.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 668 or 669?\nAnswer: 668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21\/5 + 27\/10. Suppose 5*d - u + 22 = -31, 0 = -4*d + 2*u - 46. Let f = d + 7. Which is the second smallest value? (a) 3 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 22*n - 15. Give r(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2143 + -33?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u + 1. Suppose -10 + 0 = -2*q + 4*k, 0 = -q + 5*k + 5. Let r be h(q). Calculate the greatest common divisor of r and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.4 (c) 27075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 6 = -6*n. Suppose -n*i = 9 - 0. Let u(x) = -4*x**3 - 5*x**2 - 5*x - 5. What is the units digit of u(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + (-11)\/(-2))\/((-6)\/(-8)). Suppose -4 = -l - p, -5*l + 4*p = -k - 9. Let 0*y - 3*y**2 + 0 - 27\/2*y**l = 0. What is y?\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let x(o) be the first derivative of o**3 - 2*o**2 - 1. Let p(n) = -2*m(n) + x(n). Find t, given that p(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/27 + 446\/18. Suppose -s = 4*s - k. Solve 0 = -2*j - s - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(95\/(-35) + 8\/(-28)). Let k(m) = 5*m**2 + 2. Let a(j) = 6*j**2 + 3. What is s*k(x) - 2*a(x)?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - -1.67. Let j = -3.7 - q. Let z = j + 0.7. Round z to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 17*v**2 + 17*v + 20. Let l be s(18). Suppose -2*b = 5*m + 31, m + 5*b + 18 = -l. Does 4 divide m*((-9)\/6)\/((-15)\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g = -29*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 711312 and 4267872.\nAnswer: 4267872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 604\/29, -1\/2, -3, -15 in ascending order.\nAnswer: -15, -3, -1\/2, 604\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12766 + 14522. What is the remainder when w is divided by 1750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 0, -6, -5 in increasing order.\nAnswer: -6, -5, -0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eth when three letters picked without replacement from heewehteohwhehrew.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.8 + -2.8. Let d = i + -10.8. Suppose 0 = 4*v - 12. Which is the second smallest value? (a) 5 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3068)\/(-3835))\/(4\/280).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13170442361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228431377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 13*r - 1 + 12*r - 9*r + 10*r.\nAnswer: 26*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 50*i + 19. Let y be s(2). Suppose -y - 97 = -6*u. What is the greatest common divisor of 666 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**4\/2 - v**3\/3 - 695*v**2\/2 + v - 1436. What is the second derivative of b(f) wrt f?\nAnswer: -12*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13726 (base 9) in base 4?\nAnswer: -2101323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-7590)\/(-368)*24\/30 + -9)\/((-7)\/84)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 3. Suppose 0 = -u*n + 1 + 3. Find the common denominator of 4\/(-11) + (0 - 1) and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*x + 2*x. Let m = x - 8. Solve m*o + 0 + 12 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 150518931 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = c - 5*y, 0 = -c - 3*y - 7 + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17*(-58)\/493)\/53.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 64 + 16 = 0. Solve 0 = g*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30044983, -60089960, -90134937, -120179914, -150224891, -180269868?\nAnswer: -210314845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 663026731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 + -101?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -127. What is the hundreds digit of 10\/3*((-11130)\/o + 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.029499 + 418.799499. What is t rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (354\/(-3))\/((41 - -52) + -91)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -3*d**5\/20 - d**4\/6 + d**3\/6 + d**2. Let w be n(-3). What is the units digit of w\/(-20) - 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7945571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*c + 2, 2*c = -3*r + 21 + 1. Let z be (-6)\/5*(-10)\/r. Let i(u) = -2*u**2 + 3*u - 2. Let g(v) = -3*v**2 + 4*v - 2. Determine z*g(o) - 4*i(o).\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -1 (c) 1517267.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 12*k - 7*k. Suppose 2*s - 19 = -3*y + s, 4*y + 5*s - k = 0. What is the biggest value in -4, 3\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8926?\nAnswer: 2, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.99 + -0.01. Let x = 754.3 - 754. Which is the biggest value? (a) d (b) x (c) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3 = -3*g, -5*g = 4*o - 10 - 17. Suppose -o*y = -0*y. Suppose -39*s + 37*s + 120 = y. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17 - 0) + 10288239\/611793. Let k be (-1159)\/1743 - 2\/(-3). Let i = k - q. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/10*-1*(-882)\/(-54) and -67\/86?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27333942 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Let a(r) = 9*r - 9*r**3 + 7 - 7*r**2 + 5*r**3 + 3*r**3 + 0*r**3. Let q be a(-8). Is q greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = -5*c + 217. Let m be c*10\/12*(-3)\/(-20). Let n(v) = v - 7. Let p(z) = 1. Calculate m*n(j) + 6*p(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/60 - b**4\/3 + 5*b**3\/6 + 4*b**2. Let k be z(-7). Does 8 divide k\/12 + 20 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450)*5 + 4.\nAnswer: 4 + 75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 394 - 200. Let x = -2336 - j. Round x to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*i + z, 4*i - 5*z = -3*z. Suppose 0 = -i*u - 2*u - 8. Let x be u*(-2)\/(-4) + 2. Which is the nearest to x? (a) 0.4 (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*(-3 - -7). Solve d*u - 2 = 3*y - 0*y, -3*y = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 4*p**2 + 6*p + 9. Let d be x(-5). Let s(b) = 15*b - 11. Let k(m) = 5*m - 4. Let f(o) = -17*k(o) + 6*s(o). Is f(d) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.19 + -0.01. Which is the nearest to -1? (a) -4\/3 (b) m (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:25 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15819930?\nAnswer: 2, 3, 5, 7, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10203 = -w + 3*m, -w + 10173 = 40*m - 38*m. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + f = -812, 58*s - 2*f = 57*s + 175. What is the highest common divisor of 3151 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**6\/3 - 16*b**5\/5 - 12*b**4 - 64*b**3\/3 - 16*b**2 - 3. Factor x(a).\nAnswer: -2*a*(a + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256991013 divided by -3\nAnswer: -85663671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9542449 divided by -1?\nAnswer: 9542449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 5*g + 51 - 69, 2*g = -2*a + 4 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*6 + (sqrt(425))**2 + 3.\nAnswer: 12*sqrt(17) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 707240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11015\/22 - -1001\/2. What is the closest to -1 in f, -32, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Suppose r*d - 8 = -2*f, -2*d - 27 = -5*f - 0*d. Put -3, 1, f in ascending order.\nAnswer: -3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035492 + -134091062.\nAnswer: -134091062.035492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -149043, -149047, -149053, -149061, -149071?\n\"Answer: -r**2 - r - 149041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 100817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g - 202. Let c(n) = 3*n + 51. What is 9*c(o) + 2*q(o)?\nAnswer: o + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -27. Solve -16\/5*k**4 + 0 - 2\/5*k**2 + 0*k + 7\/5*k**5 + 11\/5*k**g = 0 for k.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*8\/312 + 196\/(-78). What is the closest to 1 in 1, u, 0.3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16 + 6\/3*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.2, -3\/2, 3\/7, 3 in ascending order.\nAnswer: -3\/2, -0.2, -2\/13, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 22*o**2 + 2*o - 2. Give t(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 f when four letters picked without replacement from {f: 2, g: 7, u: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 1241a96?\nAnswer: 1241a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 15. Suppose -2*s - b*s - 142 = 3*f, 0 = -5*f + 5. Let x = s + 33. Sort x, 2, -9 in decreasing order.\nAnswer: x, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2101126520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/7)*p*p)\/(p**(1\/5)\/p))\/(p**2\/p*p\/p**(-49)))**(-1\/13) assuming p is positive.\nAnswer: p**(1682\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-3 + -3 + 1). Let i be h\/(-9)*3*2. Let w(v) = v**3 + 5*v**2 - 2*v - 1. What is the remainder when w(i) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -14)*((-2)\/(-6))\/(-1). Let t = -10 - -10. Suppose -j*d - 29 + 49 = t. Sort -4, d, 7.\nAnswer: -4, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21709 (base 13) to base 8.\nAnswer: -166137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 2:16 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (456\/((-480)\/40))\/(-1*2). Let l(b) be the second derivative of 0*b**4 + 0 + 7\/5*b**5 + 3\/2*b**2 + 0*b**3 + v*b. What is the derivative of l(f) wrt f?\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.005 + 0.026. Let c = 250 - 250.02078. Let f = c + j. What is f rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1*r**3*(r**(-8))**(13\/3))**(-7\/3) assuming r is positive.\nAnswer: r**(623\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27423 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 6 = 2, 4*t - 4*c + 312 = 0. Let k = -148 - t. What is the remainder when (-1309)\/k + (-3)\/(-4) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o = -15. Is (-2)\/o*(-684)\/(-8) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-5) - 3)\/((-10)\/(24 + -44)). Let t = -2 + 4. Let j be 1 + 0 + 0\/t. Which is the closest to j? (a) 0.05 (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 49*d**2 - 6*d**3 - 20*d**2.\nAnswer: -6*d**3 - 71*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-22)\/(-10))\/((-12)\/((-3960)\/6))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 29*k**3\/6 - 56*k**2 - 57*k - 29. Calculate t(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2004*d - 17423. Give j(-9).\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1345 + 1343. What is the third biggest value in 3, -1\/12, 1\/5, d?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -1316235.\nAnswer: 1\/87749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53714 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6948355159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 477785?\nAnswer: 2\/477785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/612*-54)\/((-9)\/6)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 3 + 3)*(3 + 3 - 4) + 1 + 3*q - 1 + (-9 + 1 + 1)*(-q + 1 - 1) + (2*q - 5*q + q)*(4 + 1 - 4) - 3*q - 4*q + 5*q to the form j*q + v and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Suppose g - 3*z - 17 = 0, z - 15 = 4*z. Let r(q) = 8*q**2 + 2*q**g - 14*q**2. Give r(y(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9146 - -9164.679. Let k = l + -8.576. Let x = -0.097 - k. What is x rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.6 (c) 2\/3 (d) 4 (e) -124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00169844861 rounded to six decimal places?\nAnswer: -0.001698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2 - 2498*y + 2*y**2 - 5654*y - 8306888 - 7*y**2 + y**2 = 0.\nAnswer: -2038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 12:52 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117.0939 + -5008447.9061. Let c = v + 5008360.00259. Let s = c - -205. Round s to four decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53370*d - 53383*d + 39 = 0. Let z(n) be the second derivative of 1\/5*n**5 + 2\/3*n**4 - 2*n**d + 35*n + 0*n**2 + 0. What is q in z(q) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16678452?\nAnswer: 2, 3, 7, 198553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 0*d. Suppose 12 = 3*y - d*y. Is y + (-4 + 1 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13627 + 13636. Let y = 16\/11 - 91\/55. Let j = 3 - 2.9. What is the closest to q in j, -2\/7, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 510 - 304. Suppose 3*k = -u + 2*u + a, -k + 65 = -4*u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/13)\/(a\/(a**13\/a)))**(20\/9) assuming a is positive.\nAnswer: a**(940\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 60460837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.78 - -30.7. Let r = 14.66 - 0.36. Let n = y - r. Round n to one decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98609 - 109859 = -250*j for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 1. Let x be q(3). Let y be x\/6 + (-4)\/(-6). Let d = -1 + 0.5. Which is the second biggest value? (a) y (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.25469 from 33193659786.\nAnswer: 33193659786.25469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -3*y**4\/4 - 3*y**2\/2 + y + 5. Calculate the remainder when j(-2) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 17. Let h = 13 + 21. Let q = h - n. Calculate the remainder when 31 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*d + 21123, a + 5493 = -d + 26607. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 52, 152, 342, 652, 1112?\n\"Answer: 5*t**3 + 5*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 518.9243 nanometers in centimeters?\nAnswer: 0.00005189243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 12, -127*s = -126*s - 4*q + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 8 = 4*h + 7*r, 0 = -3*h + 2*r + 6. Let j(n) = 29*n**3 + 2*n**2 - 1. Let t be j(1). Suppose 0 = -h*i - i + t. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g + 3*g - 15*g = -2522 for g.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/20*-4)\/((-108)\/90)*21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 e, and 2 j when four letters picked without replacement from {b: 2, e: 1, f: 2, n: 2, r: 2, j: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*h + 61*h**2 + 10 + 71*h**2 - 140*h**2.\nAnswer: -8*h**2 + 51*h + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40309724930766 and 10.\nAnswer: 40309724930776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -307*(-1 - 131) + (-18 - -21). Let g = -1215953\/30 + q. Let h = -919\/2 - -437. What is the common denominator of g and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.107 - -0.067. Let c = 0.012 + h. Which is bigger: -2\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*x, 178*l + 5*x = 177*l + 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 447101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.493232 centuries to millennia.\nAnswer: 0.1493232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 3 - 1 - 2*o + 3*o**2. Let y be s(2). Suppose 10 = 5*n + 5*i, 4*n - 3*i - y = 2*i. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22393.\nAnswer: 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q - 56. Let k(i) = 3*i + 28. Let h(b) = -2*f(b) - 5*k(b). Let d be h(-13). Solve -3*r + 4*j = 19, -3 - d = -2*r - 4*j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191757 to the power of 1\/2, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 14*f - 9. Let m be z(15). Let i = m - 3. Suppose -2*x = -0*x - 2*c - 12, -28 = -i*x + 5*c. Solve -2 = h - 2*v, -v = -2*h - 2*h - x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137.2 - -718.2. Let d = i - 580.99999932. Round d to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 162 + 51 - 33*t + 58.\nAnswer: -33*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 91.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*f + 96 = 222*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**3 - 20*h**2 + 11*h + 9. What is b(-7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zaggkki. What is prob of picking 1 z and 2 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**(6\/11)*y*y*y**(-8)*y**(-1\/33)\/y**(7\/3) assuming y is positive.\nAnswer: y**(-76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6665 or -6672?\nAnswer: -6672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -197*t**2 + 16*t + 27. Let o be g(-3). Let r = o - -2681. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551803634.\nAnswer: 2, 113, 281, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 6*c**2 + 2*c + 7. Let g be z(-6). Let a(j) = j + 4. Let s be a(g). Let m = 3\/7 + -5\/7. Is s >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**12*n**(-1\/14)*((n\/n**12)\/n)\/(n**(-1)*n) assuming n is positive.\nAnswer: n**(-1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18013654?\nAnswer: 2, 853, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29188 + 29188. Solve 3*d - 6 = f, -5*y + 16 = 16*d - 13*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 - 3*h**2 - 3*h + 3. Calculate the least common multiple of f(-2) and 1.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x + 4*x**5 - 5*x + (-2*x**5 + 2*x**5 + x**5)*(2 - 1 + 1) + (-3*x**2 + 0*x**2 + 5*x**2)*(-4*x**3 - x**3 + 3*x**3) + 11 - 4*x**2 - 11 - x**5.\nAnswer: x**5 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**3 - n - 2*n**2 + 89 - 89 + n**4 to the form r*n + y*n**3 + u + o*n**4 + c*n**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12221331 (base 4) to base 13.\nAnswer: c540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28.3523418 and 1.\nAnswer: -27.3523418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, f: 10}. What is prob of picking 2 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 2, -2, 3 in descending order.\nAnswer: 24, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.098 * 0.18.\nAnswer: -0.01764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 - 8 - 2*k + 3 + 6 wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/7, -402, -21?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 8968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24370 + 45571899\/1870. Let w = r + 5241\/9350. Calculate the common denominator of 55\/8 and w.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3014 (base 6) to base 9.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, g: 3}. Give prob of sequence ggfg.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {e: 2, z: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -876*o + 2081*o + 22965 = -1049*o - 64941 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 21765?\nAnswer: 21765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.868621 - 18.5686222. Let p = 1334.7 - 1346. Let c = t + p. What is c rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -729, -38 in descending order.\nAnswer: 10, -38, -729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16*(-7)\/(-21)*(-15)\/4. Suppose -4*s - 6 - 9 = 5*p, 10 = -5*p - 5*s. Is (-15178)\/p - 1 - q\/(-70) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330100 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*k - 58*k = -890*k + 7062 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + t**3 + t**3)*(-2*t**2 + 3*t**2 + 0*t**2) - 4*t**5 + 3*t**5 - t**5 + 0*t**5 - t**5 - 2*t**5.\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 - 6*o + 10. Let j(z) = 4*z**2 + 11*z - 8. Let v(l) = -4*j(l) - 5*s(l). Give v(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 415348 by -4.\nAnswer: -103837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101.9612 * 1.2.\nAnswer: 122.35344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -4*r - 8, -58*v - 58*v + 34*v + 36*v + 12 = r - 33*v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1209\/(-1560) + (-39)\/(-104). Sort 6, a, -1\/326 in descending order.\nAnswer: 6, -1\/326, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 2*c + 2*c - 2. Let g be p(5). Let m = 11 + g. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0)*2\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/30 - y**3\/6 + 62*y**2 - 4. Let q(j) = -2*j**2 + 4*j**2 - 3*j**2. Calculate -o(a) - 4*q(a).\nAnswer: 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3637*h - 218*h - 29107 + 243556 = -9141 for h.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:21 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1491 + 1495. Solve -3*h + 0*a + y = 4*a, 0 = -3*h + 2*a - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696206669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 + 36\/(-4))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -56316996.\nAnswer: -56316991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2659000?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*l - 35, 9950*l - 9954*l - 79 = -5*a. Suppose 6*o + 5 = t + 3*o, 5*t + 23 = -o. What is the smallest common multiple of a and 6\/(-8)*3*t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1898 + 6273 = -265*d - 1190 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i - 1. Suppose 2*o = -i*o - 60. Let j be (4 + 42\/o)*1. What is the second smallest value in j, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*i*p*x**3 + 2*i*p - 3*i*x**3 + p*x**3 - p*x**2 - 2*p*x - 39*x**2 wrt x.\nAnswer: -66*i*p - 18*i + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, v: 2, d: 4, c: 1}. What is prob of sequence cvd?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 - (0 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 238, 16, -14, 10, 4 in increasing order.\nAnswer: -14, -5, 4, 6, 10, 16, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 - 85. Let s = o - -174. Let r(n) = n**2 - 5*n - 1. What is r(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**3\/3 + k**2\/2 + 12*k + 32. Calculate s(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-2 - 149\/7). Let c = 25 + h. Let r be 37\/7 - (1 - -3 - -1). What is the closest to c in -3\/5, -4\/3, r?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/3767?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2832\/27 - (-9)\/81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6075975.\nAnswer: 3, 5, 81013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -13. Let k = l - 20.19. Let m = k + -0.08. Round m to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112) + -1*sqrt(2112))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 6) in base 15?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from {z: 2, v: 2, n: 1, p: 1, h: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*j + 59*j + 94 + 290 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnwnowowwnwwwnw. Give prob of picking 2 w and 2 n.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*s - 32*s = -9*s - 1020 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137 + 81. Let r = k - -56.0000073. What is r rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4290448*s**4 - 2*s**2 - 101930029*s.\nAnswer: 51485376*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + (6*(sqrt(208) + 0 - sqrt(208)) - sqrt(208) - sqrt(208)) - 4*-1*sqrt(208))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - x + 4*x - 2*x. Let u(k) = -k + 4. Let m(z) = -1. Let a(d) = 3. Let t(o) = 3*a(o) + 8*m(o). Let b(p) = -4*t(p) + u(p). Determine s(b(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*c - 109*c + 11032 = 190*c for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 11.792?\nAnswer: 3.5376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -273, 4, 9, -2, 0, 2 in descending order.\nAnswer: 9, 4, 2, 0, -1, -2, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8189344 and 5.\nAnswer: 40946720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7. Let v(s) = j*s - s - 3*s + 1. Let p be v(2). Solve -5*f = -3*h + 6, p*f + 12 = h - 2*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30, 62, 94, 126, 158, 190?\n\"Answer: 32*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(98) + sqrt(2) - 6*(sqrt(2) + 1)*-2.\nAnswer: 9 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 956987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/1*6\/4. Let g = y - 0. Let c = -1 + g. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 0 + sqrt(99))*-6 + sqrt(99) + (-3 + sqrt(99) - sqrt(99)) + -4)**2.\nAnswer: 462*sqrt(11) + 12028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46053884 to the power of 1\/2, to the nearest integer?\nAnswer: 6786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/24)\/((3\/(-16))\/(-1)). Suppose -4*s + n - 12 = 0. Let g(z) = -2*z**3 + 1. Let x be g(s). Solve -2*k + 3*m + 6 + 7 = 0, -x*k - 8 = m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1722253143 to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-44)\/(-594))\/((-2)\/24)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-12)\/(-3) + -5). Let d = 19 - 22. Which is the nearest to 0? (a) 0.1 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -20*w - 29. Let f(a) = 59*a + 87. Let d(q) = 4*f(q) + 11*r(q). Let u be d(-2). Suppose -5*o = -4 + 24. Which is greater: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmvtvvvmvvtvttt. Give prob of sequence tm.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + w + 2*w + (3*w - w - w)*(-3 + 3 - 2))*(4 + 2 - 5 + (-1 - 1 + 0)*(2 - 2 - 2) + 0 - 1 + 0)*(w - 4*w + 4*w).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10701835.\nAnswer: 5, 2140367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*x + 4*y, -2*y + 20 = 5*x - 10. Suppose 16*d = x*d + 2412. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -31 + 19 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 182 = 5*s - 993, 5*z - 5*s = 5965. Let w = z + -681. Suppose 2*c = -77 + w. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 8*w**2 + 1. Calculate the smallest common multiple of v(8) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -186 or -177?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 554*y = 550*y + 22, 48 = 4*h + 4*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 25*s**4\/4 - 2*s**3\/3 - 4*s**2 - 20*s. What is the second derivative of c(p) wrt p?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92 or 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 38*r - 160. Let p be n(5). Solve -4*q + 0*z - z + 5 = 0, p*q + 5 = z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n + 1 + 1)*(-21 + 31 + 2*n - 26).\nAnswer: 4*n**2 - 28*n - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-5 + sqrt(104)\/sqrt(2)*4 - -6*(sqrt(52) + sqrt(260)\/(sqrt(20)\/sqrt(4)))) + 5))**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 37*r**2\/2 - 55*r + 41. Let y be c(3). What is the highest common factor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f. Let c be s(-1). Let r = -6352 + 6355. Put c, r, -12, 4 in increasing order.\nAnswer: -12, c, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58b7a (base 15) to base 2\nAnswer: 1000101000001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - h = -13, 3*h - 19 = -3*g + 2*g. Solve -51*s + g = -46*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4586*u - 8222*u - 323*u - 682812 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) + sqrt(119)*-2)*3 - (2*sqrt(119) + sqrt(119))*-1)\/(-4*-3*sqrt(42)\/sqrt(6)).\nAnswer: 7*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8120799 millennia to months.\nAnswer: 9744.9588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51313 + 20?\nAnswer: -51253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3761 and 3.\nAnswer: 11283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1170.5 to the nearest 10.\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7873, -11699, -18069, -26983, -38441?\nAnswer: -52443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/24)*u**(-13\/2)*u*u)**(1\/22) assuming u is positive.\nAnswer: u**(-107\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1429744 (base 10) to base 5.\nAnswer: -331222434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 121, 2 in decreasing order.\nAnswer: 121, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202 + -203. Let b be ((-5)\/(-1))\/(6\/(-6)). What is the nearest to -0.1 in -1\/6, b, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 4*u**2 - 2. Let p = 33 + 105. Let d = -154 + p. Let w be (-4)\/d + (-60)\/(-16). Calculate b(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1 = -2*j, 0 = 64*j - 69*j + 15. What is the second biggest value in 0, -145, t, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 256 - 347 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 46*b**2 + 45*b - 96. Calculate x(-47).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/14)\/((18\/(-16))\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 515 - 513. Let u = -0.2 + -0.8. Let m = -1.1 - u. Put 9, m, v in decreasing order.\nAnswer: 9, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 1?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154997 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -11*k + 258. Calculate y(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 - 12*o - 2. Let u be z(-6). Let y(f) = -2*f**2 + 4*f - 1. Let s(i) = -i + 1. What is u*s(r) - y(r)?\nAnswer: 2*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/67, -8, 0.03, 5?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(8\/(-12) - -4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*a - 12, 20 = 5*p - 4*a - a. Determine r so that r**2 + 0*r + p*r**3 - 1\/2*r**4 - 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15373.9 and 513.31013.\nAnswer: -14860.58987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17575496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1449 + 1452. Let k(x) be the first derivative of -25\/2*x**2 - 10*x - 20\/3*x**q + 17 - 5\/4*x**4. What is j in k(j) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 4.22\nAnswer: -12.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -250 + 5946. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 - 326*k**2 + 3*k. Let j(c) = 5*c**3 - 326*c**2 + 4*c. Give -4*d(h) + 3*j(h).\nAnswer: 3*h**3 + 326*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -118\/11, -375, 0.1, 0.5, 31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 19 = -5*n + 12, -3*s - 3*n = 57. Let d be s*(-5)\/(-10)*-2. Suppose -29 = -d*l - 1. Solve -3*m + 6 = -0, 3*m = 4*v - l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v. Let m(o) = 7893*o**2. Calculate z(m(g)).\nAnswer: 23679*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4*o - 172. Let q = 88 - o. Let t be (0\/(-2))\/((2 + 2)\/q). Solve t = 4*s + 2*f - 20, 0*s + 2*s - f = 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**5\/180 - q**4\/18 - 2*q**3\/9 - 4*q**2\/9 + 39*q. Find p, given that z(p) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + -65 + 65.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 200808479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/17696 and 113\/28288.\nAnswer: 15643264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753904281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 13*s + 2. Let m be u(2). Let f be m\/16*(-16)\/(-2). Solve -3*q - f - 1 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 863067 to the power of 1\/2, to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9668920449 to the nearest integer?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -75*v + 2544. What is b(36)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.7102 grams to kilograms.\nAnswer: 0.0067102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6660 and 8233758?\nAnswer: 82337580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11808 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(2*-1*1). Let j(m) = m - 2. Let y be j(d). Let n be 6\/(-8)*6\/(-9). Which is greater: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 26. Suppose y*o = -16, -2*u = 2*u - 2*o - 156. Calculate the remainder when 67 is divided by u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 13*c - 9. Give y(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, 213, 806, 1957, 3852, 6677, 10618?\n\"Answer: 31*p**3 + 4*p - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67305.127 rounded to the nearest 1000?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x + 5*s = 35, -3*x + 3 = -4*s. Solve -3*n + x*n = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9685)\/6825 + (-63)\/(-49) - 289\/(-30)\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -13*w. Let t(m) = 6*m - 6. Let v(a) = -47*a + 51. Let f(i) = 17*t(i) + 2*v(i). Determine q(f(k)).\nAnswer: -104*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020100211 + -1220121?\nAnswer: -2022021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 1. Let p be n(4). Let s = 14 - 9. Let r(c) = 3 + s*c - p. Determine r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 2*p**2 - 4*p**2)*(1 - 3 + 3)*(2 - 1 + 0) - 1 + 2*p**2 + 1.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20315617 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9425\/2 in 3, -43, 0.3, -1?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30159407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2\/7 + 19520*f - 1503524\/7 = 0. Calculate f.\nAnswer: -34171, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 9:21 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 12. Let q(x) = x**2 + 13. Let f(c) = -6*m(c) - 5*q(c). Calculate the lowest common multiple of f(0) and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.44558km to meters.\nAnswer: 77445.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88504 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: List the prime factors of 168103965.\nAnswer: 3, 5, 193, 58067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 65 = -x + 78, -340 = -2*x - c. Calculate the highest common factor of 18871 and x.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -8*w + 80. Let p be w + -6 + (-26)\/16. Is p >= 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3167*c - 12673. Determine a(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4020 and 39419584.\nAnswer: 591293760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + 751?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 23 = -2*a - 2, 5*a = t - 28. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*c + 19 = 95. Solve 29 = 3*f - 4*r - r, f = -c*r - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 - 57. What is the highest common divisor of 286 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 41. Let s(m) = -m**3 - 15*m**2 - 19*m - 28. Let b be s(c). What is the greatest common divisor of 21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 4034497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 7*o**2 + 5*o**2 - 53*o + o - 22*o**2 + 4. Let w be f(26). Solve -w*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from snncc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)\/z)\/(z\/(z*z**(2\/3))*z))\/((z\/((z**4*z)\/z))\/z*z**(2\/15)\/z)*((z*z**(-1))**44)**(1\/15) assuming z is positive.\nAnswer: z**(-37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**3 + 33 + 26 + 8*q**2 - 59.\nAnswer: -9*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 81?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-54)\/42 + 1)*(-8 - -1). Let k be 3 - x\/4*146. Let v = 85 + k. Which is bigger: 16 or v?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -43 - 117. What is the highest common factor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 27*g**2 + 93*g - 13. Let i be r(7). Which is greater: i or -1\/3913?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 108. Let l be r(31). Solve -8*k + 0 = l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2525025+102.21\nAnswer: -2524922.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325417654.\nAnswer: 2, 11, 59, 1021123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 6, -5*n + r = -0*n + 5478. Let f = 9898\/9 + n. What is the common denominator of 50\/9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 8:37 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 - 20*p**5 + 4*p**3 + (0 - 2*p + 0)*(0 + 0 + 2*p**4) + 15*p**5 - 15*p**5 + 2*p**5 + 3*p**5 + 3*p**5 + 0*p**5.\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289 + 288. Put -8, 5, n, -5 in ascending order.\nAnswer: -8, -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - q**2 - q + 2. Let u be 4\/10 - (-4)\/(-10). Let f be l(u). Suppose k - 5 + 4 = y, 0 = -f*k + 5*y - 7. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6939438*k**4 + 4266918*k**2?\nAnswer: -166546512*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 835 divided by 5.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 12*r - 5. Determine g(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4247 = 87*n - 1656 + 1640 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-207)\/(-36) + -6)*2. Sort 2, 3, -0.1, f, 1\/2.\nAnswer: f, -0.1, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -8020*z**2 + 176448*z - 176.\nAnswer: -4*(z - 22)*(2005*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cee when three letters picked without replacement from akeeaeeeaaaeeeaca.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5496743713?\nAnswer: 5496743713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 + 2*h**5 - 5*h**5 + (-3 + 2 + 3)*(h**5 + 2*h**5 - 2*h**5) + 0*h**5 - h**2 + 2*h**5 - 3*h**2 + (-6 + 0 + 4)*(h**5 + h**5 - 3*h**5).\nAnswer: 7*h**5 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398\/12 - (-9)\/(-54) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 66184, 264678, 595500, 1058650, 1654128?\n\"Answer: 66164*v**2 + 2*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 f when three letters picked without replacement from kkkkkkkkfxfkkxxkfk?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 8*s - 60. Let t be (3\/9 + (-2)\/(-12))*0. Is (12\/s)\/(t - (-1)\/(-55)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = 3*g - 8*l + 496, -g + 3*l - 158 = 0. Which is greater: -154 or g?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 0*g + 1\/12*g**4 - 2 + 2\/3*g**3 - 1\/60*g**5 + 0*g**2. Let i(c) be the third derivative of d(c). Differentiate i(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48960 to the nearest 1000.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3089 - 1254. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10cb3 - -617?\nAnswer: 114ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.8 + -19. Let g = -5 + k. Which is the nearest to 0? (a) g (b) 4\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9199\/84*(-5)\/30. Let k = -1\/504 - a. Calculate the common denominator of 111\/56 and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**3)\/r)\/r)\/r*r*(r**1\/r)\/r*r assuming r is positive.\nAnswer: r**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-75)\/(-27) + 3*-1. Let i be ((-32)\/14 - -2) + 9\/105. What is the closest to i in l, 2\/11, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2*q**3\/3 + 3*q**2 + q + 7. What is the tens digit of j(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630 is divided by 370?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18170 and 7268.\nAnswer: 36340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5065\/(-10)*(-24 + 2). Is v <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 15. Let q(r) = -4*r - 28. Let k(g) = -6*q(g) + 11*v(g). Calculate k(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85*968\/(-7260)*(-18)\/4\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 26.27, 1, 1\/2, -0.3 in increasing order.\nAnswer: -3, -0.3, 1\/2, 1, 26.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -159*r**3 - 9*r**2 - 3. Let c(z) = z**3 + 3*z**2 - z + 2. Calculate -2*c(y) - g(y).\nAnswer: 157*y**3 + 3*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 100, 206, 302, 382, 440, 470, 466?\n\"Answer: -m**3 + m**2 + 110*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969*u - 8940 - 1835 = 17326 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 20*a - 272. Calculate u(31).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -33*b**2 + 12*b + 1. Let z(a) = -67*a**2 + 26*a - 4. Give -13*q(c) + 6*z(c).\nAnswer: 27*c**2 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(0*f + 4*f - 3*f)*(-301 + 114 + 109) to r + x*f and give x.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + k**2 + 1. Suppose 0 = 4*q - 3*g - 15 - 5, 0 = -5*g - 20. Suppose q*x - 4 - 1 = -3*f, x + 4*f = 10. Determine w(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 15*j**2\/2 + 16*j + 104. What is the remainder when u(2) is divided by ((-16)\/6)\/(1\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 106549 and 346824.\nAnswer: 453373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 84444.6 times 72\nAnswer: 6080011.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 85831935 to the power of 1\/2, to the nearest integer?\nAnswer: 9265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/39? (a) 1\/3 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 29 = -2*c - 19, c - 4*s = 5. Solve k = 2*d - 4*k + 9, c*d + k = -9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244*l + 144*l - 19*l**4 + 168*l - 6*l**4 + 3*l**2 wrt l?\nAnswer: -300*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + (-100 - 66) + 23.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.48 - -4.5. What is p rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38794704?\nAnswer: 2, 3, 13, 62171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6697*t = -6679*t - 1026. Calculate the remainder when 534 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 - 2*d - 4. Let l = -203 + 248. Suppose 41*x = l*x - 72. Calculate the remainder when u(-4) is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180*-1.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 338, 681, 1024?\n\"Answer: 343*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(8 - 354\/45). Let s be (1*(-24)\/w)\/(4\/(-605750)). Round s to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -14. Suppose -t + 28 = -b. What is the remainder when t is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6308.26 - -74.\nAnswer: -6234.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3589256 times 66?\nAnswer: 236890896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*1)\/((-11)\/22). What are the prime factors of (4\/l)\/((-1)\/(-7))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7081*k + 127159. Give b(-18).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2156387010 to the nearest integer?\nAnswer: 46437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 945344402?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*k + 22*k + 50 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -9, 5 in increasing order.\nAnswer: -9, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14589 is divided by 588?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*t - 497 - 692 - 713 = 0. Let y be 1\/(-2) - 1\/(-2). Solve 2*x + 19 = 5*b, -3*b + 3*x = -y*b - t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 15*g**2 - 4*g - 25. What are the prime factors of r(10)?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from swmsasmsssmsm?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 328042?\nAnswer: -328040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8 = 4*o, 0 = -2*d - 2*d - 2*o + 4. Suppose 4*s - 6*w = -2*w + 60, 4*s + w - 70 = d. What is the remainder when 32 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15086472, 30172962, 45259452?\nAnswer: 60345942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 7) + -41 + 51.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-12 - -6) - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -4164.7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 4, n: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -233, -454, -663, -854, -1021, -1158, -1259, -1318?\n\"Answer: p**3 - 228*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 7 - 2121\/(-101). Suppose 0*g = -g + 39. Calculate the greatest common divisor of g and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11066982 plus -0.2?\nAnswer: 11066981.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5441544 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 102431.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7018 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o. Let z(t) = 14*t - 70. Let s(r) = 1. Let c(n) = 70*s(n) + z(n). Calculate c(p(w)).\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -163000 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -605\/89, -2\/11.\nAnswer: -605\/89, -5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, 4, -573, -3 in descending order.\nAnswer: 11, 4, -2, -3, -573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 123. What is c rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s = -25*s. Suppose s = -42*z + 45*z - 90. What is the highest common divisor of z and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 6 (c) 1\/4 (d) -12\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b. Let a(p) = 17*p**2 - 431*p + 87. Give u(a(j)).\nAnswer: 34*j**2 - 862*j + 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 7*z - 12*z + 19*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3346627 kilometers?\nAnswer: 334662700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 - -69. Suppose -1164 = -3*l - 3*g, 0 = -2*l - l - 4*g + 1167. Find the common denominator of ((-16)\/10)\/(42\/l) and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -27 - 17*x**2 + x**3 + 8*x**2 - 4*x**2 - 26*x - 13*x**2. Let i be d(27). Solve 4*h - 16 - 4 = i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417*s - 30 = -423*s. Let m = 457 - s. What are the prime factors of m?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (102\/27 - 2) + 4\/18. Let z(g) = 3*g**2 + g - 1. Give z(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 38 - 8. Let x(c) = -6*c**3 + 5*c - 5. Let k(h) = 3*h**3 - 2*h + 2. Calculate l*k(v) - 4*x(v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -800863.9 and 0.33.\nAnswer: -264285.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 4:58 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (9 - (14 + -8 - 11 - -6)) + -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550570 is divided by 438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 23 - 118*q**2 - 18 + 54.\nAnswer: -118*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.9999992. Round t to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 22014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2523*p**2. Let l(u) = -3*u. What is l(x(c))?\nAnswer: -7569*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12)*f**(-3))**(-5\/16) assuming f is positive.\nAnswer: f**(75\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11611850 to the nearest integer?\nAnswer: 3408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 527 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 819425848 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*y + 60535, -60584 = -5*y + 312*z - 310*z. What are the prime factors of y?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(27\/432)\/((-6)\/(-8)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from {e: 1, o: 2, q: 2, u: 8}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1368388944 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5 = 0, 2*n - 7*n = 4*x - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 135 = -3*a + 429, 5*y - 555 = -3*a. Suppose 4*n - a = -30. Suppose i - n = -3*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 8) to base 3.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 3, 5, -8, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 2 - (-347)\/6. Let t = 58 - m. Which is the second biggest value? (a) -0.2 (b) 0.01 (c) 4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 3 (c) -0.65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 53175 = 335*v - 330*v, 0 = 5*c + 3*v - 88625. Is c a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9975775597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = m - 11, 0 = 4*m - m + 3. Let a be ((-20)\/r)\/(2\/(-3)). Suppose 5*x - 3 - 7 = 0. Solve 3*z = 4*g - 23, 0 = -0*z - x*z - a*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100101111 - 10101111100?\nAnswer: 10000110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19399197*b**4 - 2678*b**2 + 145 wrt b.\nAnswer: -465580728*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 9*y - 34. What is l(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1 = -m. Let q(y) = y - 2. Let u be q(6). Put m, 5, u in decreasing order.\nAnswer: 5, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 22411424210?\nAnswer: -22411424200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s + 4*s. Let f(r) = -6*r. Let v(b) = -3*b. What is s*f(p) + 9*v(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efififefwffeffue. What is prob of sequence fwff?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 334.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -232*z + 1. Let l be j(-1). Suppose p = 2*d + l, 2*p + 0*p - 431 = -3*d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1338 + -14678\/11. Calculate the common denominator of -137\/684 and f.\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-6\/11)*i*(i**(-4\/7)*i*i*i)\/i)\/(i*((i**(-4\/5)*i)\/i)\/i*i)**(-17\/3) assuming i is positive.\nAnswer: i**(4639\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 0*a**2 + 3*a - 9*a - 67*a in the form p + i*a**2 + l*a and give l.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1256, -5034, -11340, -20180, -31560, -45486, -61964, -81000?\n\"Answer: -w**3 - 1258*w**2 + 3*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1848 = 4*h, 27*h - 1836 = 23*h + 5*j. Does 29 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79193534816 + -79193533630.99998258. Let q = l - 1185. Round q to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*x**3 + 13*x**2 + 1604*x + 396394.\nAnswer: -6*x**2 + 26*x + 1604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/10)\/(18\/60). Suppose 2*r + 3*w = 17, r + 0*w + f = w. Let p(v) = 2*v**3 + v**2 - 2*v + 1. Let y be p(r). Solve -3*q = -y*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t - 1. Let s = 0.1 + 6.9. Let m = s + -6.9. What is the closest to m in 0, -5, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 153668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (232\/23 - 130\/26) + 2\/(-23). Let g(j) be the first derivative of 0*j**2 + 5*j + 1\/2*j**4 + b + 0*j**3. What is the first derivative of g(y) wrt y?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.36 - -15.36. Let o = 20 - g. Let p = -0.58 + 0.08. Which is the nearest to -12? (a) -3\/7 (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102896 + -11791.\nAnswer: -114687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 3)*(-1 + 4 - 1) + 0 + 0 + 1)*(-50 + 50 - p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4062*n - 62414 + 12877 = -24953 + 105400 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56189.009 + -56115. Let t = -74 + k. Let m = t + -0.379. Round m to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, y: 7}. What is prob of sequence yyo?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 + 72*q**2\/5 + 138*q\/5 + 68\/5.\nAnswer: 2*(q + 1)**2*(q + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(3*o**3 - 2*o**3 - 5*o**3 + (-o - 1 + 1)*(-4*o - 2*o**2 + 4*o)).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/33 + 10\/11. Let r = 2.09 - 1.79. What is the closest to a in -0.1, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - (2 + 0 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.1. Let a = 1 - w. Let q = 864 + -861. What is the third biggest value in -0.1, a, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 3. Let k be n(-3). Suppose k = -f + 3 + 2. Suppose -1480 + 1828 = 87*x. Solve x*s - q = 3*s + f, 0 = -2*q - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14538 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8 and (3\/(-42) - -2) + 2?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 422*c**2 + 4*c + 46. Let m(s) = -6*s**2 - s. Let z(t) = d(t) - 12*m(t). Find the second derivative of z(q) wrt q.\nAnswer: 988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 66038680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 994*q + 168 = 1023*q - 180 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/54*6\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqhh when four letters picked without replacement from {t: 1, n: 2, i: 2, o: 3, h: 2, q: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1215 = -3*p, 1175 + 4900 = 5*n + p. Let x = 1710 - n. Calculate the highest common divisor of 55 and x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 3*w**2 + 406410*w - w**2 - 406410*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffx when three letters picked without replacement from fffx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -88, -559, -1862, -4417, -8644?\n\"Answer: -70*n**3 + 4*n**2 + 7*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 1:40 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -566*g - 78153. Give a(-138).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = -4*d, 4*d - 1 = 3*i. Let k(w) = -26*w - 1. Let u be k(1). Which is the closest to i? (a) -1 (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -3, -7, 3, 2322?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**2 - 381*i + 5490 = 0.\nAnswer: 15, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045 a factor of 2416952780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/7 - 3*z**2 - 72*z\/7 + 432\/7.\nAnswer: -(z - 3)*(z + 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76545\/357210*3*42?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.590004l?\nAnswer: 5590.004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1260 + -4.02.\nAnswer: 1255.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 290644553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*o + 7*o**4 + 65*o)*(-3 + 3 - 2*o) + 3 - 3 - o**5.\nAnswer: -15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 30492.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 0.4 (b) -5 (c) -8 (d) -1439 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 34*k - 236. Let r be l(7). Solve -5*h - 1 = 4*p - r*h, -3*p - 2*h = 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*w + 1173 = 4*j, 5*j + 4*w = 1991. Let o = -1 + 5. Suppose p = -o*p + j. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by (-60 + (5 - 2))*(-248)\/93.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*l + 1541 = 0, -l + 2*l + 2286 = 3*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 159*x**5\/20 + 38*x**4\/3 + 175*x. Find the third derivative of c(s) wrt s.\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -53*r + 406*r + 183*r. Let x(d) = -46*d**2 + 260. Let v(p) = -14*p**2 + 78. Let j(n) = 10*v(n) - 3*x(n). Determine j(a(f)).\nAnswer: -574592*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.1. Let f = 2 + -2.3. Let v = 123\/2 + -62. Which is the closest to 0.1? (a) p (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-15)*j)\/j*j*j*j*((j*j*j**(2\/3))\/j)\/j)\/((j\/(j\/(j*j**(-2\/37))))\/(j\/(j*j*j**14*j*j))) assuming j is positive.\nAnswer: j**(-3250\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 + 5*j - j - 4*j - j.\nAnswer: -j - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 265788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027375 is divided by 1474?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89610, -89609, -89608, -89607, -89606?\nAnswer: -89605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 3*r**2 + 17*r + 10. Let p be m(-6). Suppose k + 3*f = 32, -26*k + f = -25*k - p. Calculate the highest common divisor of 740 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-77)\/(-294)*7)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d\/d**(-7)))\/((d*d\/(d*d**(5\/3)\/d))\/d))\/(d**2\/d*d*d*(d*d**(1\/4)\/d)\/d))\/(d**7*d**(-6\/7)*(d\/(d\/d**1))**(-5)) assuming d is positive.\nAnswer: d**(-733\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/88*3*16\/24)\/1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from hqqwczf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 8*o - 1. Let j be n(-8). Let t be j\/(1\/6) - -3. What is the tens digit of t - (6\/(-3) - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1716.441?\nAnswer: -5149.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 + 22*c + 34. Let d(p) = -p**2 - 7*p - 11. Let k(a) = 8*d(a) + 3*m(a). What are the prime factors of k(-13)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {o: 1, y: 2, j: 2, e: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-2)*102\/(-357). Let l(r) = 4*r**3 + r**2 - 2*r + 3. Calculate l(v).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 633813169 - 633813152.56436516. Let x = -1.43563664 + k. Let c = -15 + x. What is c rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 4, p: 10, k: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -925383952*m - 179058736 with respect to m.\nAnswer: -925383952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2) + -2517*(-1)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 97*o**2 - 90*o + 2. Is 14 a factor of z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gffgg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 595210318.024 and -4?\nAnswer: 595210322.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2185 + 2191. Let k(s) = -4*s - 5. Let f(t) = 2*t + 3. What is b*k(z) + 11*f(z)?\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6)**(-22)*r**(-2\/3)\/(r*r*r\/r**(2\/5)*r*r))**(-11\/2) assuming r is positive.\nAnswer: r**(22649\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -14*r**2 + 3*r. Let j(f) = 38073*f. Determine v(j(m)).\nAnswer: -20293746606*m**2 + 114219*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:22 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 9*b - 6. Let o be y(7). Let s be 12\/4 - (o - -1). What is the greatest common divisor of s and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 + -191. Let r = q + 8.2. Let y = 4.88 + 0.12. Put r, 0.5, y in descending order.\nAnswer: y, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 + 518*u + 3141. Calculate q(135).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b + 0*b)*((3 + 3 - 4)*(-2 - 2 + 7) - 2 - 4 + 4 + 2 - 2 + 1 + (3 - 3 + 2)*(-1 + 5 - 2) - 8 + 6 + 12).\nAnswer: 38*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5830594920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1017243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1883 and 106.\nAnswer: 199598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, t: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15358226 to the power of 1\/2, to the nearest integer?\nAnswer: 3919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -240 - -243. Find the first derivative of -23*g**i + 77 + 2*g**2 + 4*g**3 - 15*g**3 wrt g.\nAnswer: -102*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 2, b: 4}. What is prob of sequence bw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -89?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 7*x + 1. Let k be o(6). Let q = 0 + k. Is 6 a factor of q\/30 + 165\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-42)\/t)\/t*t**(-38)*t)\/(((t\/(t**8\/t)*t)\/t)\/(t\/t**36)) assuming t is positive.\nAnswer: t**(-109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44424, -44419, -44414, -44409?\nAnswer: -44404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y + 1898559 = 31*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 + -102.03. Let b = 0.03 + m. Let k = 0.1 + 0. Is k greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, 39 in decreasing order.\nAnswer: 39, 9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 11. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5616)*-6 + sqrt(5616) + 1*sqrt(5616)*-1)\/(-3*(sqrt(972)*3)\/sqrt(4)).\nAnswer: -8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/((-36)\/(-8)))\/(-2). Let c(l) = 2*l - 8. Let r(k) = -1. What is o*c(i) + 10*r(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*k + 61*k + 4 - 6*k**3 as n*k + p*k**3 + i + m*k**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2 - 1206*g - 114287. Determine a(-153).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 2*b**2 + 2*b**2. Let m(q) be the second derivative of -q**3\/3 - 7*q**2\/2 + 2*q - 244. Give x(m(i)).\nAnswer: -4*i**2 - 28*i - 49","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 8*u - 3. Let q be i(8). Let p = 5 + q. Solve p*r = 2*h + 3*h - 18, -h - 2 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 19*o**5\/60 - 31*o**4\/24 - o**2 + 20*o. Let j(s) be the first derivative of z(s). Find the second derivative of j(t) wrt t.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*-1 + sqrt(133) + sqrt(133))*-6 - (1*(sqrt(133) - (sqrt(133) + sqrt(133)*-1)) - sqrt(133)))\/(sqrt(56)\/sqrt(2) + (-1*sqrt(70))\/sqrt(10)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**2 + 8*x. Let w(a) = 5*a - 67. Let j be w(15). Let d(b) = 9*b + 15. Let f(h) = 14*h + 24. Let m(z) = j*d(z) - 5*f(z). Determine s(m(p)).\nAnswer: 28*p**2 + 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/(3\/1180). Suppose 2*k - z = 3*f, k + 10 = -2*f + 298. What are the prime factors of k?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 5*y - 13 - 7, 3*y + 12 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -677744071*d + 1320810347?\nAnswer: -677744071","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-12) - 2\/(-6). Let z = -2.7 - -2.8. Let l = -6 + 3. What is the nearest to z in p, -5, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33114321 and 5228577.\nAnswer: 99342963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(294) + (-2*sqrt(294) + sqrt(294) - sqrt(294) - sqrt(294)) - sqrt(294))*3)\/sqrt(6))\/(-4*4*sqrt(56)\/sqrt(8))*-4.\nAnswer: -9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1575)*-3 + (sqrt(1575) - 1*sqrt(1575))*6)\/((-2*sqrt(36)*-2)\/(sqrt(8)\/(sqrt(8)\/sqrt(4)))).\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45217456*p**5 - 2*p**2 - 69244*p + 11?\nAnswer: -904349120*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*q + 12, -16 = 4*r + 2*q. Find the common denominator of 188\/(-10)*r\/8 and -109\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 0*b**4 - 26\/3*b**3 + 2 + 0*b**5 + 0*b**6 + 26\/7*b**7 + 0*b**2 + 0*b. What is the third derivative of c(k) wrt k?\nAnswer: 3120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*n + n. Let c be 3\/(-4) - 1\/4. Let u(t) = 4*t - 1. Let h be u(c). What is the third biggest value in h, -4\/7, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2 = 2. Suppose 2*z - 3*z - 4*m + 38 = f, -z = -2*m - 14. Calculate the smallest common multiple of 2 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3625 = 3*p, 615 - 4224 = -3*p + 3*g. Is 9\/6 - p\/(-10) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5bb100 (base 13) in base 6?\nAnswer: -115013524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**(-1\/4))\/l*l)*l)**(1\/2)\/(l**1)**(-49) assuming l is positive.\nAnswer: l**(397\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 70\nAnswer: -9\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 811 = 2*v - f + 815, -f - 1 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*x**4 - 61*x**3 - 12*x**5 + 47*x**5 + 13*x**4 + 40*x**3 + 23*x**3 - 5943*x wrt x?\nAnswer: 700*x**3 + 228*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 27802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r = -1760*r - 916*r - 1622*r + 226840 for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16155 = -3*c + 7230. What are the prime factors of c?\nAnswer: 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from ynhynnmnhnnynmhnh?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1776 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/39 - (-2)\/(-3). Suppose o + f - 75 = -c*o, o - 91 = -5*f. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 8) to base 12\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.005 - 76.005. Let k = u - -76.5. Let n = 20 + -41\/2. What is the closest to n in k, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 2:48 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-4)\/30)\/1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**2\/2 + 5*r + 1. Let z be g(-3). Which is the nearest to z? (a) -0.4 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1196 + -826. Let i(l) = -4*l - 134. Let w be i(-36). Calculate the greatest common factor of w and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 53*v**5\/60 - 7*v**4\/8 - v**3\/6 - 22*v**2. What is the second derivative of c(n) wrt n?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -89 + -647?\nAnswer: -6d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2572231 by 132.\nAnswer: -2572231\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - k - 259 + 670 = 0, m = -3*k + 401. Suppose 3*h + 79 = -m. Let f be (-18)\/(-8)*22\/h. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49478563 rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16285\/9884?\nAnswer: -16285\/9884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (47\/(658\/770))\/5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256763406.\nAnswer: 2, 41, 199, 77017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 9*w**2 + 11*w + 14. Give g(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 19856, -2\/5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -2077.1872?\nAnswer: -4154.3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49\/44 + -15\/11. Which is the third smallest value? (a) k (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2704*a**4 + 0 - 46*a**2 - 7*a**3 + 2 - 2702*a**4 to r*a**4 + o*a**3 + y*a**2 + l*a + i and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -125*x**2 + 124*x**2 - 6 + 5*x + 4*x. Let z be i(8). Let j(r) = -r**2 - 4*r - 1. Let b be j(-2). Solve -4*t = b*p - z, -p = -4*t - 2 - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 59 = -5*w + 16, 5*x + 4*w - 10 = 0. Let m(q) = 4*q**2 - 20*q + 5. Let r be m(5). Solve r*d = x*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(21 - 2) - (-26 - (-518)\/14).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72.8 - 8.2. Let v = h - -80.06. Let z = 1.06 - v. Which is the biggest value? (a) 4 (b) z (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 70 = k - 5*m + 74, 0 = 4*k - 2*m + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1703, 1696, 1689, 1682?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22158.694 rounded to the nearest 10?\nAnswer: -22160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1158*l - 233869. Give v(202).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 58*t**2 + 189*t + 7509. Calculate l(-57).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45ca - -5?\nAnswer: -45c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225087 and 192?\nAnswer: 14405568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4649384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142943*u**2 + 2075806*u?\nAnswer: 285886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.89406 weeks in microseconds?\nAnswer: 22313527488000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 0*u + 4. Let v be 1 + -13 - (-32 + 18). Solve -2*l + 12 = -0*s - v*s, l = u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40.28 * -0.2\nAnswer: -8.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 12457\/15034?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -38, -91, -166?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 30 - 40 + 2 + 8.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 652.1885 decades in millennia?\nAnswer: 6.521885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -11\/6*b**3 + 65\/72*b**4 + 0*b + 0 - 31\/180*b**5 + 10*b**2 - 1\/360*b**6. Factor s(v).\nAnswer: -(v - 1)**2*(v + 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232208466 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: Let b be ((-9)\/6 + -1)*54\/(-15). Suppose -4*z = 3*o - b*z - 659, -4*o + 888 = -2*z. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 + 64*d - 129 - 2*d**2 + 393.\nAnswer: -2*d**2 + 64*d + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 6) in base 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5268 = 316*j - 28968. What is the highest common factor of j and 2580?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 + 267. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 n when three letters picked without replacement from nwnwqnlqkkpqnkp?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2 + sqrt(171))*2)**2.\nAnswer: -48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 134 - 1014. Is 16\/j + 3273\/33 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 3*b**2 - 2*b + 3. Let w = -2 + 4. Let a be x(w). Is (-3)\/a - (1 + -46) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.033 - 62901210159\nAnswer: -62901210158.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 70*y + 1773. Calculate t(-25).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**3\/3 - 17*g**2\/2 - 43*g - 51. List the prime factors of x(27).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52051 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149770 (base 16) to base 11.\nAnswer: 841988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 56210\/1021020 + (-2)\/68\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946890 divided by 1670?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 39*w**3 - 40*w**3 + 3*w**2 - 9*w + 9*w - 4 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*b**2 - 1472 + 1472.\nAnswer: -272*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Suppose -u + 33 = n*u. Let v be (u - 2)\/((-2)\/(-2)). Calculate the greatest common divisor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 6*y - 24. Let v(k) = k**2 - 7*k - 11. Let r be v(y). What is the remainder when 5 is divided by 1\/3 - 5\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84217770 divided by 4678765\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 61*q**2 + 7*q - 4. Let z be o(9). Round z to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p. Let h(n) = -9*n - 6. Let f(w) = 117*w + 81. Let t(c) = 2*f(c) + 27*h(c). Give t(b(a)).\nAnswer: -63*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -57*x - 19. Suppose 2*s + 12*s + 42 = 0. Let l be i(s). What is the greatest common divisor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -l + 4*z, 0 = -2*l - 5*z + 6 + 18. Let x(v) = -8 + l*v**2 + 8. Let b(w) = -w**2. Determine x(b(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 16*h + 7. Let t be g(16). Let l = -185 + t. Suppose -105 = 16*y - 21*y. What is the remainder when l is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2*p - 22 = 0, u = 3*p + 96 - 105 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 7*d**2 + 13*d + 48. What is k(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 1\/(-3)*-2. Let d = -174 + 173. What is the third smallest value in d, t, -3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)*-1 + (2 - 1). Suppose i*s + 4*h = -2*s + 42, 3*s - 4*h = 93. What is the lowest common multiple of 69 and s?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 1. Let n(m) = m**3 - m**2. Let j(d) = 2*d**3 - 5*d**2 - 3*d - 4. Let h(k) = j(k) - n(k). Let g(f) = -h(f) + z(f). Give g(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abab when four letters picked without replacement from {w: 8, a: 5, b: 2}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -25*f**8\/288 - 73*f**7\/252 - 43*f**6\/120 - 19*f**5\/90 - f**4\/18 + 7*f**2. Suppose s(q) = 0. Calculate q.\nAnswer: -1, -2\/5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/376400 and -37\/843136?\nAnswer: 21078400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.92133862 rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 10. Suppose -5*v + 185 = -a*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-8))\/((-2)\/8). Suppose 0 = 4*i - 25 + 9. Let d(o) = -5*o + i*o + 4*o - 5*o - 3. Let y(x) = 3*x + 4. Determine b*d(a) + 4*y(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 251190 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3552 and 1248.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*k + 188*k - 353 = 7684. Sort k, -1\/5, -46, 0.5 in decreasing order.\nAnswer: k, 0.5, -1\/5, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21102 is divided by 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2862 divided by 1431\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/26*-2*(-156)\/(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -9072608\nAnswer: -9072607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108009892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 s, and 1 b when four letters picked without replacement from suuubwuuw?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-28) + (23 - 313875\/13860)?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -625*l**5 + 187625*l**4 - 410800*l**3 + 313240*l**2 - 101360*l + 11920 = 0?\nAnswer: 2\/5, 1, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -232, -334, -436, -538?\n\"Answer: -102*m - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 188 + 132 = 0. What is the remainder when 40 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -20, 3*d + 2*k = 32 - 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 18*y - 7. Let g be u(-20). Calculate the greatest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*y**2 + 7015*y + 383690 wrt y.\nAnswer: -14*y + 7015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*l + 6*h - 124, 0 = -3*h + 12. Suppose 25*q = l*q - 84. Suppose 33*o + q = 34*o. Which is smaller: o or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(36)\/((sqrt(108)*-2)\/sqrt(9)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6 = 6. Suppose -t*c - 6 = -5*c. What is the third derivative of -c*d**2 - 2*d**2 + d**6 + 3*d**2 wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*b - 4 + 8 + 2*b**2 + 4*b**2 - b**3 + 2 to the form j*b + a*b**2 + t + y*b**3 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, z: 4, i: 2}. What is prob of picking 1 l and 1 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**4 - 2*t**3 - 3*t**2\/2 + t + 8. Let r be u(2). Solve 3*k = 3 + r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487275115.\nAnswer: 5, 293, 332611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g**5 + 15*g**4 + 886*g**2 wrt g.\nAnswer: -300*g**2 + 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*z**2 - 25*z + 25*z + 67*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*j + 51*j - 6256 = -105*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/547 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) -0.5 (c) 1\/289 (d) 479 (e) -3 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 73*w - 72*w. Is 32842\/8 - 21\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56885333.\nAnswer: 139, 317, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -146. Which is the third smallest value? (a) 5 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -2\/13, -57, 5, 3\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 2*m**3 - 31*m**2\/2 - 8*m - 85. Calculate the remainder when h(-7) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/5)*r)\/r)**39\/(r*r**4)**49 assuming r is positive.\nAnswer: r**(-1342\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48453586?\nAnswer: 2, 4451, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -0.3 (c) 2.3 (d) -5 (e) 2\/11 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 1135*k**2 - 19602*k + 20736.\nAnswer: (k - 1152)*(k - 1)*(k + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21499726 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.3. Let g be 76\/((-13832)\/(-3549)) - (-2 - -24). Which is the fourth smallest value? (a) x (b) g (c) 2 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-8)*8\/(-10). Let o(a) = -10*a**2 - 9*a - u - 6 + 3 + 3. Let g(v) = -v**2. Let c(f) = 3*g(f) - o(f). What is x in c(x) = 0?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d - 17. What is l(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 5\/10*(1882100\/75 - (-4)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 2) + -1 + 5. Suppose 0 = -h + 3, -21 - n = -k - 3*h. Suppose -2 - k = -v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2206581 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167 - 79. Suppose z = f - 5*f. Find the common denominator of f and -11\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -340.41227 - 0.81773. Round l to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11633163 (base 7) in base 5?\nAnswer: 232102420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (19 - -1) - (-54 - 1)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**6\/1260 - c**5\/84 - c**4\/14 + 32*c**3\/3 + 34. Let v(y) be the third derivative of n(y). Suppose v(r) = 0. Calculate r.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idn when three letters picked without replacement from {i: 3, t: 5, n: 9, d: 3}.\nAnswer: 9\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 3*m**2 + 4. Let h be k(-3). Let f = -9816 - -9816. What is the nearest to 0 in -3, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/27 and 7\/117.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 1250?\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (7 + -11 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*i + 21994 - 9317 + 28325. List the prime factors of i.\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 10*w + 56*w + 61*w - 15*w to i + u*w and give u.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 4*n**2 + 0*n**2)*(-1 + 1 - 2*n) - 42*n + 6*n**3 + 42*n - 16*n**3 + 30*n**2 - 30*n**2 + (2*n - 3*n + 3*n)*(-2*n + 2*n - 2*n**2).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 + -132. Let g(m) = -2*m**3 + 3*m**2 + m - 1. Suppose -4*i - 1 = 11. Let o be g(i). Calculate the highest common factor of l and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 5. Let v = n - -14. Let h = 122 + -81. What is the remainder when h is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156087.7895 rounded to the nearest 10?\nAnswer: -156090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 5*j + 6*j + 480*j**3.\nAnswer: 480*j**3 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*-3.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Suppose 0*v - 57 = -2*v - p*t, t = v - 11. Suppose -18*x + v = -16*x. Which is bigger: x or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698858823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, s: 1, p: 3, a: 5}. Give prob of sequence pa.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-35))\/((-18)\/28). Sort z, -2\/7, -3\/5, -1\/3 in increasing order.\nAnswer: -3\/5, -1\/3, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 10137*p - 10133*p - 2*q, -5*p + 34 = 2*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163*z**3 - 138*z**2 wrt z.\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 2 = -3*m. What are the prime factors of (m\/5)\/((-3)\/(-15))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*f - 37*f + 112 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/46745710 and 53\/8499220?\nAnswer: 93491420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 - (-6 + -64)\/7. Solve 2 = -4*x - 6, -w*g - 16 = 3*x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(1\/2))**(-9\/2)*m**7\/(m**(3\/7)\/m))**(1\/10))**(-2\/137) assuming m is positive.\nAnswer: m**(103\/19180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 24*m + 4 - 14 + 133*m + 1 as d + x*m and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -10*l**2 + 2*l - 1. Determine x(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -1020331?\nAnswer: 1020334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, t: 7, n: 2, s: 3}. What is prob of picking 2 s?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42 and -8.13.\nAnswer: -50.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 211314 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -10113030?\nAnswer: -10113103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = -3. Let i be ((2 - 2) + p)*-3. What is the derivative of w**2 - w**i - 1 - w**2 wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z**2 - 9*z - 13. Let o(s) = 4*s**2 + 6*s + 9. Let f(j) = -4*j**2 - 6*j - 9. Let i(r) = 3*f(r) + 4*o(r). Give 5*g(k) + 7*i(k).\nAnswer: -2*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h - 1. Let a(q) = 3*q. Let j(z) = -5*a(z) - 2*p(z). Let d be j(2). Suppose d*b + 4*b - 20 = 0. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 + 479 = 2*d, -p = -d + 240. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177466990 to the power of 1\/2, to the nearest integer?\nAnswer: 13322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4 + 221130*j**3 - 12224176957*j**2 - 48899361420*j - 48900245956 = 0.\nAnswer: -2, 110567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 5:56 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 58 = -2. Suppose -23*q + l = -21*q. Solve -17 = 4*o - q*f + 11, -2 = 2*o + 4*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 163342*a - 65336.\nAnswer: -(a + 32668)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11310288 and 17050?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*m = 15, 4*m - 2 = 2*q - q. What is the units digit of q\/((-1)\/(-1) - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 12:33 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 371*k**2 - 6*k - 19. Is d(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (sqrt(6655) - sqrt(6655)*4) + sqrt(605)\/sqrt(275))\/(((sqrt(100)\/sqrt(5))\/sqrt(4) - 3*(sqrt(5) - sqrt(20)))*-2).\nAnswer: 159*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 905 + 1. Suppose 3*r = -4*h + a, h - 78 - 224 = -r. List the prime factors of r.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 17.04. Let g = -25.66 - -26. Let m = p - g. Which is the third biggest value? (a) m (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86504 - -86502.17899. Let x = f - -1.82. What is x rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9471724, 9471733, 9471742, 9471751?\nAnswer: 9471760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23775 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 14 = 5*t. Which is the biggest value? (a) 0.1 (b) t (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 327*a**2 + 51668*a + 404. What is w(-158)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001827060674 to seven dps.\nAnswer: -0.0001827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21\/5, 2\/19, -6\/7, 1, -2, -1\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 4*x**2 - x - 7. Let d(j) = -j**3 - j**2 + 3*j - 4. Let h be d(-3). What is the remainder when f(h) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16304799 to the power of 1\/2, to the nearest integer?\nAnswer: 4038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 + 6*b. Let n(t) = 12*t**2 + 26*t. What is 9*g(h) - 2*n(h)?\nAnswer: 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1)\/(4\/6). Suppose -6*t = s*t + 45. Is -1 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-24)*108\/(-117)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(88) - 3*sqrt(88)*-2))\/(sqrt(88)\/(sqrt(16)\/sqrt(2)) + (sqrt(33)*1)\/sqrt(3)).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4 + d**2 + d + 2*d + 2*d. Suppose -3*f + 22 = 28. Let l be 3\/f*(-170)\/(-51). What is y(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4*u = 703 - 739, 0 = -2*n + 3*u + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.74, -2\/7, 4386, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 8106984082?\nAnswer: 8106984079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/((-4)\/18))\/1. Suppose -58 = -5*s + 3*s. Suppose 0 = o - 2*h, 0 = -2*o + 3*o + 5*h - 14. Solve o + a = -x - 3*k, -5*k - s = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = 4*f - 3*y, -4*y + 23 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -5*q - 3262. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**2 + 1500*h + 112500 = 0.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*q - 194, 4*m - 289 = -104*q + 101*q. Let y be (0 + 1 + 0)*6. Suppose 5*c + y = 51. Calculate the highest common divisor of c and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11996 is divided by 4682.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9 + 3*q**2 - 2*q**2 + 16 + 4*q. Let v be -2 - (2 + (-1 - -2)). What is the remainder when 21 is divided by d(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 185 and 7?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**2\/2 + 5. Let c be n(-5). Solve 2*j + 0*x = -4*x + 10, -c*j + 4*x + 25 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170942433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-15) - (-44)\/10. Let r = p - 2. What is the third derivative of -6*c**2 + 4*c**r - 2*c**6 + 0*c**2 wrt c?\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 7 = 6*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(405) + -1 + -3 + (sqrt(40) + sqrt(640)*-4)\/sqrt(8).\nAnswer: -6*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 55. What are the prime factors of (5 - h)\/(2 - 1) + 102?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/24 + k**3\/3 - 2*k. Let w(g) be the second derivative of f(g). Let o(z) = -2*z. Give o(w(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5977238 divided by -4.\nAnswer: -2988619\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 15*m - 2. Let h(z) = z**2 + 7*z + 1. What is -3*a(n) - 7*h(n)?\nAnswer: -n**2 - 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16478.\nAnswer: 2, 7, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -822, -3285, -7382, -13107, -20454, -29417, -39990?\n\"Answer: f**3 - 823*f**2 - f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -1 - -3) + (34 - 26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*c + 4*j + 325 = -1259 + 110, -5*c + 2 + 17 = -j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000368074 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -768*f**3 + 2519*f**3 - 713*f**3 - 930*f**3.\nAnswer: 108*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**5\/80 - w**4\/16 - w**3\/8 - 29*w**2\/2 - 19*w + 1. Let o(s) be the first derivative of j(s). Factor o(c).\nAnswer: -3*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*r - 4*r + 5*r + 28*r in the form m*r + v and give m.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l**3\/7 - 870069*l**2\/7 - 434988*l\/7 + 6525495\/7 = 0 for l.\nAnswer: -145011, -3, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4\/9*a + 0 - 2\/9*a**2 + 2\/9*a**5 + 2\/9*a**4 - 2\/3*a**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 11*w - 55. Let y be c(-15). Let k = -43 + y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*u**3 + 6294*u**2 - 6*u - 1077005.\nAnswer: -6*u**2 + 12588*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2498*w + 2221*w + 2491*w - 7174*w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*f - 294. Let u = -9 + f. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 7*g**6\/15 + 11*g**5\/15 + g**4\/3 - 5*g**2 + 42*g. Let p(d) be the first derivative of t(d). Factor p(v).\nAnswer: 4*v*(2*v + 1)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703.9082us to nanoseconds.\nAnswer: 703908.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3001806502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 822*p - 279*p + 3355 = -989 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*b + 243, -4*y - y - b = -299. Let z be (-8)\/y*9\/(-2). Suppose 0*v + 20 = -4*v. What is the second biggest value in 4, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 - 51) - (65558 + -65525)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 85*i**2 + 4. Let u = 21 + -18. Is t(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3095610265.\nAnswer: 5, 11, 4583, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 2. Let k(i) = -9. Let y(l) = k(l) + 5*v(l). Let s(q) = -q. Let a be (3\/9)\/(1\/(-3)). Give a*y(t) - 4*s(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 437.5 - 426.5. Let t = -0.5 + -3.5. Which is the nearest to 2? (a) 0.2 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 at least as big as 209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - ((-38 - 44) + 5)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2795, 2781, 2779, 2795, 2835, 2905?\n\"Answer: q**3 - 21*q + 2815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 455 + 467 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2146433, 2146431, 2146429, 2146427?\n\"Answer: -2*k + 2146435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15477 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: (-1232)\/960*4 + 2\/15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/(1590\/(-120)) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -32. Let h be (3\/(-2))\/((-3)\/8). Are h and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 6:20 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 1 - 1 + 10*k**2 - 4*k**2 + 2*k**2 + k**2 + 0 - k**2 + 0 + (-3*k**2 - 2*k**2 + 3*k**2)*(2 - 5 + 1) + 4*k - 4*k - k**2 + k**2 + 2 - 2.\nAnswer: 14*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c34a1c0 - 0?\nAnswer: -1c34a1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -0.9, 2\/3, 2, -16, -3.28?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/60)\/((-226)\/(-33900)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 728 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36299, 36305, 36309, 36311, 36311, 36309, 36305?\nAnswer: 36299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*d**4 - 2*c*d + 135392*c - 1610*d**4 wrt d?\nAnswer: 4*c*d**3 - 2*c - 6440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c + 2. Let h be 6\/(-9) + 51\/9 - 8. Let m be 2\/((-4)\/h) - (-9)\/18. Calculate w(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34\/13 - 66\/13*x - 30\/13*x**2 + 2\/13*x**3 = 0. Calculate x.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 421*h**4\/4 - 671*h**3\/3 + 609. Find the third derivative of v(s) wrt s.\nAnswer: 2526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 - 2*u - 1. Let f be z(-1). Suppose m + 5 = f*m. Suppose 3*o + 4*g + 14 = 0, 3*o + 3*g = -0*g - 9. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 15. Let k = 5.431 + -3.431. What is the closest to k in n, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 11:59 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/u*u*u**2\/u)\/((u*u*u**(-1\/3)*u)\/u**(-1\/8)) assuming u is positive.\nAnswer: u**(125\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 4*h - c, 13 = 106*h - 108*h - 0*c - c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5452 - 56 = 4*i. What are the prime factors of i?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 782.2682 millilitres in litres?\nAnswer: 0.7822682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1589*y + 27023. Give z(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666338?\nAnswer: 2, 211, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**6\/270 - m**5\/90 - m**4\/108 + 3616*m**2. Suppose k(z) = 0. What is z?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = r + 2*r - 17, -2*r - z + 7 = 0. Suppose 3*u = 12, 5*m - 49 - 7 = -r*u. Suppose -m + 0 = -n. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15023399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -247.54632 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17081 and 74617.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2 + 5*o. Suppose 2*u - 6*i = -2*i, -4*u = -2*i + 12. Let d(w) = 4*w**2 - 4*w. Let r(y) = u*j(y) - 5*d(y). Let t(h) = h. Calculate t(r(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221 - 217. Solve 10*c - 22*c - 6 - 2*c**2 + 8*c**s - c + 12*c**3 - c**5 + 2*c**5 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 480 (base 9) to base 12.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1183, 1178, 1173?\n\"Answer: -5*u + 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9005 + 9005 - r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u**3\/8 + 25*u**2\/8 + 2*u - 3\/2 = 0. What is u?\nAnswer: -2, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8673\/11 - 787. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 < -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 799 and 792 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -37, 225, 0.2, -2, -1, -0.5, -0.2?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 16 = 0, 2107*a = -2*h + 2105*a + 16306. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0*i - i + 1, 3 = 5*p + 3*i. Suppose -4*f + p*o - 2 = -2*o, 0 = -2*f - o + 9. Differentiate c**f + 0 + 4 + 5 - 2 with respect to c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 7*s - 16 + 2*s + 2*s. Let q = -4682 - -4675. Give o(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2 - 11*f + 24 = 0. What is f?\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 5*n**2 + 16. Let d be h(-7). Let p = 87 + d. Solve 4*b + p*s - 20 = 0, b - 20 = -b - 5*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5 - 19. Suppose f*x - 8 = 2*x. Solve 0*n = x*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 - 81 = 43*z. What is the smallest value in -78, -1\/6, z, 0?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*z - 131*n + 116*z with respect to z.\nAnswer: 2*n + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 23*m**2 + 12*m - 28. Let l be f(-23). List the prime factors of -2*((-9)\/8)\/((-4)\/l).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152\/15 - 8\/3. Which is smaller: f or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 2*h. Let k(s) be the second derivative of -s**5\/20 + s**4\/4 + s**3\/2 - 2*s. Let v = 381 + -378. Determine v*c(b) + 2*k(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 765446919 to the nearest integer?\nAnswer: 27667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42265 and 6320?\nAnswer: 676240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -41, -42, -43, -44?\n\"Answer: -o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1148 and 952.\nAnswer: 39032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 57893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 1:48 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 4, 9 in descending order.\nAnswer: 23, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.1 - -0.1. Let d = f - 0.2. Let o = 15 - 15.3. Which is the third smallest value? (a) o (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -4, -99, 5 in increasing order.\nAnswer: -99, -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, i: 1, y: 1, v: 1, p: 1}. Give prob of sequence ip.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -19 - 5 - 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/1351 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 - -2. Let z = 0.058 + 3.942. Let x = -3.7 + z. Which is smaller: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 8*r**2 - 2. Let x(m) = -5*m. Let t(o) = -6*h(o) - 20*x(o). Let v(g) = g**2. Give t(v(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - 4*d - 6. Let k(j) = 7*j**2 - 8*j - 11. Let c(y) = -3*k(y) + 5*r(y). Let i be -1 - (-3 + -4 - -3). Suppose 13 = i*g + 1. What is c(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 n when three letters picked without replacement from {a: 1, r: 4, n: 3, z: 2, l: 2, h: 2}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.19615 - -39.77485. Let n = t + -40. What is n rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*3420\/72 + -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, v: 6, p: 7}. Give prob of picking 2 v and 1 i.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1350) - sqrt(54)))\/((-1*sqrt(14))\/sqrt(7) + sqrt(2)*1*3) + 1)**2.\nAnswer: 36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 8*d + 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2134 divided by -194.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 5*i**3 - 3*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 0 + 5*a**2 - 7\/12*a**4 + 0*a - 5\/3*a**3. Differentiate i(n) with respect to n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(-3 + -3 + (sqrt(704)*1 + 4 + (sqrt(704) - (sqrt(704) + (sqrt(704) - -2*sqrt(704)))) + 3)**2).\nAnswer: -1344*sqrt(11) + 17152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 688 and 20958286?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126899 + -85635. List the prime factors of i.\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 14. Let g be d(12). Let s(z) be the first derivative of -1 - 1\/2*z**2 + g*z. What is s(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11138 by -1.\nAnswer: -11138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*30\/20?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 + 66\/12. Suppose -q + 17 - 4 = -5*l, 0 = w*l - 5. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26664400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 25*q**2 + 6. Suppose 0 = z + 23*z + 600. Calculate the lowest common multiple of 20 and f(z).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 8*j**3\/33 - 35*j**2\/11 + 62*j\/11 + 164. Factor f(p).\nAnswer: 2*(p - 1)*(4*p - 31)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 67?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -110, -230, -374, -542, -734, -950?\n\"Answer: -12*n**2 - 84*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2464 and 1320.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdd when three letters picked without replacement from {d: 2, f: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*o - 8*o, 0 = 2*i - 4*o. Suppose i = -4*u + 108 + 52. Suppose -3*j + 16 = -2*j. What is the highest common factor of u and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 371, 383, 391, 389, 371?\n\"Answer: -s**3 + 4*s**2 + 7*s + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 3. Let l = -12 - -15. What is m(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000045733 to 6 decimal places.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 35 + 42 - 578*h**2 - 206*h**2 + (2 - 2 + 2*h)*(h + 4*h - 3*h).\nAnswer: -780*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1467 divided by 1467.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:20 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -593782 equal to -593797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 - 2?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a\/a**(-1))\/a)\/a*a*a*a**(10\/9)\/a*a assuming a is positive.\nAnswer: a**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-1)\/((-2)\/(-14)). Let h(m) = m - 15. Let c be h(i). Is 2\/c + 73\/4 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -3*q - 5*d + 51, -d = 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k - 3*i + 3, 3*k = -4*i - 3. Solve -4*f - k*w = 0, 2*w = f - 3*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 92 + 5?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1860, 3982, 6104, 8226?\nAnswer: 10348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 352020 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/70 (b) 45 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43890 and 551?\nAnswer: 1272810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*i**4 - 106692*i**3 - 109490*i**2 - 77*i wrt i.\nAnswer: -2496*i - 640152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -975, -2195, -3903, -6099, -8783, -11955?\nAnswer: -15615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260856 is divided by 129879?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(36\/4))\/(13\/4797). Suppose 0 = 2*q - 1 - 5. What is the highest common factor of d and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 2*p - 2*p**3 + 137*p + 263*p**3 - 137*p + (1 + 4 - 3)*(-p**3 + p**3 + 2*p**3) + (-2*p + p**3 + 2*p)*(-1 - 2 + 1) - 3*p**3 + 3*p**3 + 2*p**3.\nAnswer: 265*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 429\nAnswer: -128.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 2:37 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**3 + 24506841*q**2 + 220561770*q + 343096152 = 0.\nAnswer: -7, -2, 8168956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 + -122. Let i be -2*3\/(-2)*x\/9. Suppose i*f - 3*g - 68 = 0, -3*f - 5*g = f - 68. What is the greatest common divisor of 153 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 37 = -89. Let w(k) = k**3 + 4*k**2 - 6*k + 4. Let i be w(-5). Suppose -i = -y + p. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9473 - -9482. Solve 11*t = s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*t + 1283*g - 1280*g, -3*g + 25 = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*r - 4*r. Let q = 28 - r. Solve -d = -u + d - 3, -5*u - 5*d + q = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -384*t**4\/11 - 4192*t**3\/11 - 14760*t**2\/11 - 1350*t + 6750\/11 = 0.\nAnswer: -15\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44058374 by -22029187.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 6*y**2 - 5*y - 11. Let b(d) be the second derivative of 0 + d**2 + 4*d + 1\/6*d**3 - 1\/12*d**4. Give -11*b(v) - 2*j(v).\nAnswer: 2*v**3 - v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*i*q**3 + 2*i*q**2 + 2*i*q - 119*i - 515*q**6 + 3*q**5 - 51*q**2 + 7*q + 4 wrt q?\nAnswer: 264*i - 61800*q**3 + 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*s**2 + 10130*s - 1 wrt s.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/4 - 105*g**4\/4 - 372*g**3 - 1424*g**2.\nAnswer: -g**2*(g + 8)**2*(g + 89)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8338958 millimeters in centimeters?\nAnswer: 0.08338958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -1\/15541, 0.1 in ascending order.\nAnswer: -1\/15541, 0.1, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6696.7 rounded to the nearest ten?\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3204\/24)\/(5 + 22\/(-4)). Do b and -267 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146739 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -799500000 rounded to the nearest 1000000?\nAnswer: -800000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5226166 is divided by 51744.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpbfbppbbpsff. What is prob of picking 3 f?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -16. Let n = 3 - x. Let h = 3 - n. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*h + 6, h = -5*b + 6 - 5. Calculate the smallest common multiple of 24 and ((-22)\/(-8) - 2)*(167 + b).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*l, 63*o + 24 = 68*o + 3*l. Solve -13*w = -o*w - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45855 is divided by 22741?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -31.7?\nAnswer: 6.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 3*s**2 - 40*s - 70. Suppose 0 = -5*c - c + 2592. Calculate the remainder when c is divided by q(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18903914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 270, 453, 636, 819, 1002, 1185?\n\"Answer: 183*k + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88029064\/1525 + -57724. Find the common denominator of a and -89\/610.\nAnswer: 3050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 310018 - 5261922 = -200*j. Is j a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3 - 132*j**2 - 2925*j + 101250 = 0.\nAnswer: -75, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*s**3 - 39\/2*s**2 + 2376 - 180*s.\nAnswer: 3*(s - 12)**2*(s + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1326864 is divided by 7668.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 > -2401\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -47. Which is the nearest to 0.1? (a) o (b) -1\/3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/356 - 3197\/2492. Let n = 297 - 457. Let z = 159.8 + n. What is the fourth biggest value in m, -3, z, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 7:24 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0\/4)\/((-10)\/10)*5\/5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210280*j + 23*j**2 + 420593*j - 210313*j.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 159\/9 - 6\/9. Let j = k - 12. Solve j = -5*x + 6*y - y, -3*y + 1 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 10*z - 13. Let h = 44 + -37. Let t be f(h). Suppose t*v + 317100 = 15*v. Round v to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.2 + 1.2. Let q = -33.11 - f. Sort 0, q, -4 in ascending order.\nAnswer: -4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2486 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25978089 - 2?\nAnswer: -25978090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1117957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117824*i*z**3 + 7334*i - 2*z**3 + 6*z**2 wrt z?\nAnswer: 706944*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 386 = 4*c, 27*z = 24*z - 4*c + 206. List the prime factors of z.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2801 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40438816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a - 2. Let i be j(2). Suppose 5*s + f = 0, 2*s + 7*f = 9*f. Suppose s = -25*c + 5*c + 40. Solve -2*m - i = c*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -4587.\nAnswer: -2\/4587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -4*o - 10, 5*b + 29*o = 24*o + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -313648 - -448803. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 22 = 72. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 287 + -263 - (17 + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*l = -186391 - 630835 - 662094. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 42449456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -738806, -738792, -738778?\nAnswer: -738764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -176, -507, -808, -875, -504, 509?\n\"Answer: 34*l**3 - 189*l**2 - 2*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -9311.\nAnswer: 931.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = -2*d, 281*d + 30 = -3*w + 276*d. Solve -u - 3*a - 1 = w, 0 = -143*a + 141*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57734.\nAnswer: 2, 28867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 1. Which is the nearest to 0.1? (a) 0.13 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 0 - 29)\/(3 + -5). Suppose m = j + 5. What is the remainder when (-1)\/1*1 - -32 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 11*k - 3. Let r be h(-6). Calculate the greatest common factor of r and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/3 + 5135*c**2\/3 + 2799104*c\/3.\nAnswer: -c*(c - 5632)*(c + 497)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/9 and -65\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11342601, 11342616, 11342643, 11342688, 11342757?\n\"Answer: o**3 + 8*o + 11342592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/10))**16 assuming y is positive.\nAnswer: y**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4580 by -4580.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.58616 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(34)*2)\/sqrt(2).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6) + (-189)\/(-378).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -14, 6318 in ascending order.\nAnswer: -14, -2, 6318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2499 - 6.1499. Which is the nearest to 0.1? (a) -3 (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -460888 - 20?\nAnswer: -461018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10632 - 10737.82. Let d = -2.18 + z. Let j = 90.4 + d. What is j rounded to zero dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**2 - 800*k + 1580 = 0. Calculate k.\nAnswer: 2, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 626\/5 - 126. Which is the second biggest value? (a) 2 (b) -85\/4 (c) 2\/3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5268)\/(-16)*6 - 24\/(-16) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2008 = 3*q - 3228, 3928 = 3*z + 2*q. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47372 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(130)*-2 - sqrt(130)))\/((sqrt(10) - (sqrt(10) - sqrt(50)\/sqrt(5)))*-6).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 808572213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 1, k: 2, b: 1}. Give prob of picking 1 b and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) 2 (c) -4\/7 (d) 4\/9 (e) 0.4 (f) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70186643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 37\/2 of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*m + 3*m**3 + 8 + 9*m**4 - 18*m**2 - 5*m**3 + 132*m - 10*m**4 to the form t*m**4 + f + n*m + x*m**3 + c*m**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/(n\/((n\/n**(2\/5))\/n)*n))\/((n**3\/n)\/n**4)*(n**1\/n)**(3\/2)*((n*n*n**(-5\/3))\/n)\/n**(5\/3) assuming n is positive.\nAnswer: n**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199953.\nAnswer: 3, 13, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -1057.\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9)\/b**(5\/4)*b*b\/(b**(-5)*b)*b**2)**(2\/71) assuming b is positive.\nAnswer: b**(235\/1278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276*-91.\nAnswer: 25116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 46*x**2. Let h be t(3). Suppose 12 = -2*k + h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -393 times 871\nAnswer: -342303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 136 - 26202732?\nAnswer: -26202574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/4 + 2*u**3 - 4*u**2 - 8*u + 34. Let m be g(-7). Which is the nearest to 2\/5? (a) -1\/2 (b) m (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/(r*r*r**3)))**(-1\/5))**(1\/6))**(4\/13))**27 assuming r is positive.\nAnswer: r**(-18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let q(m) = 32*m + 52*m**2 - 13*m - 10*m - 58*m**2. What is t(q(o))?\nAnswer: -6*o**2 + 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 + 7\/3. Let b be (-71)\/781*(-3 + (-22 - 3)). Which is greater: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (400\/1600)\/(((-1)\/10)\/((-56)\/20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**3 + 2*s**2 + 2*s + 1. Let a be n(-1). Let l(p) = p - 2. Suppose -13 - 11 = -3*f. Let u be l(f). Is a greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + u + 16 = 0, -5*k = -4*k + 4*u + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 11:38 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 3*a + 9, 6*a - 2*a = 5*k - 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/15*24\/12)\/(27968\/3680).\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-4) + (-6)\/(-8). Let l(h) = -93 + 93 - s*h. Let i(t) = t**2. Give i(l(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*w - 58*w - 149 - 197.\nAnswer: -138*w - 346","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**5\/30 + 13*u**2. Let r(w) = 18*w**2. Calculate r(p(h)).\nAnswer: 72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**4 + 0*r**3 + r**4 + 3 + 2*r**3 - 3*r**4 as t*r**2 + i*r**3 + j*r**4 + a + y*r and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 - 4*a**4 + 2*a**4 + (34*a + 6 - 6)*(-2 - 2 - 2)*(3*a + a**3 - 3*a).\nAnswer: -203*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 10:35 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3380 and -0.1798.\nAnswer: 3379.8202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 17*x - 5. Is b(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 - (-104)\/168. Sort -3, 2\/7, -1, o.\nAnswer: -3, -1, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -4*g + 18. Let o = -5 - g. What is the units digit of (-2 + 1)*(-52 + -1)*o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 20*g**2 - 1. What is f(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-5)\/(-2))\/(8\/112)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1120\/(-19488)*2\/20.\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 p when four letters picked without replacement from pvpvv.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 + 64 = -2*s, 4*s = -2*n - 96. Let r = -2 - s. Let g be (r\/(-15))\/(4\/(-12)). Solve -k = 3*i - 10, -k + g*k = -5*i + 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 170*y**2 + 57*y + 245. What is the units digit of c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(85\/((-91630)\/147))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 6*j + 7. Let b(l) be the third derivative of -l**6\/120 + l**4\/24 + l**3\/6 + 11*l**2. What is -6*b(i) + w(i)?\nAnswer: 4*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = l, 2*n - 2*l - 14 = 0. Let w(x) = -x**3 + 5*x**2. Let a = -135 + 140. Let o be w(a). Solve 2*d + n = 0, 13 = -b - o*d - 2*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*p + 26*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 116634177 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + 57. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 18*b - 24.\nAnswer: -3*(b + 2)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -1. Let d be (-1)\/t + (-2 - -3). Let r be d + (0 + 1 - 2). Solve -o - r = -5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34537, -69348, -104135, -138886, -173589, -208232, -242803, -277290?\nAnswer: -311681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + m + 28. Calculate a(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30807376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 4*j**2 - 3*j - 6. Calculate b(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8\/(-12)*(-2652)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z\/(z*z**(3\/5))*z)))**17\/(z**(2\/29)*(z*z**(-8))\/z*z) assuming z is positive.\nAnswer: z**(4456\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 4*d**2 - 3. Let h(u) = u**3 + 4*u**2 + 2. Let r(i) = 5*c(i) + 6*h(i). Let b be r(-3). Suppose v - b = -v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n**2 + 0*n**4 + 1\/2*n**3 - 1\/4*n + 0 - 1\/4*n**5.\nAnswer: -n*(n - 1)**2*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - 1*(-9)\/(1 - -2). Let l(z) = z + 1. What is l(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260060 (base 7) to base 15\nAnswer: -e392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6776153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Suppose -2*o + 14 = 4*u, -4*u = -a - 8. Sort o, -4, 3.\nAnswer: -4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00038869804 to five decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 2*q - 1. Let l = 39 - 38. Let h(t) = t**2 + 2*t - 1. Let z be h(l). Give b(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 11.6. What is the third biggest value in f, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/5 (b) 2 (c) 2\/3 (d) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 3*j + 2*j - j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 3, 3\/2, -1\/126, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 20. Suppose -t - c = -3*j, -j - 13 = 4*t + 2. Suppose -11 = -b - j*r, 2*b - 4*r = 6 + 2. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*w = 258*w + 16. Let h = 90 - 56. Calculate the highest common divisor of w and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4232 + -4211. Solve -5*i - m = -4*a, -21*i - a = -23*i - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - -f?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-429)\/(-858) + 41\/(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 19. Suppose -z*n = -18 - 6. What is the hundreds digit of 100 + (-3 + 3)*3\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccct. What is prob of sequence tc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1055*u**3 - 8*u - 117291 with respect to u.\nAnswer: -3165*u**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2. Let a(i) = -15*i**2. Calculate y(a(k)).\nAnswer: -450*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, -3, 2\/5, 140?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 424 - 1808 = 0. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82 - 12*o - 82 - o**3 in the form k*o + r*o**2 + x + w*o**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*b + 6 = 0, -15 = 5*c + 3*b + 2*b. Let g(k) = -3*k - 3. What is g(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 2*n**4\/3 + 3*n**3 + n**2\/2 - 13*n. Is t(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 3*j + 5. Let x = 5 + -9. Let s be q(x). Let a = -41 + s. What is the highest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 25*b**2 + 11*b + 10. Calculate c(25).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 452 = 2*s, s - 6*s = 5*g - 2290. Suppose 7*z + z = g. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) 8.72 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4, -9*n + 15 = 2*s - 4*n. Suppose 3909 = 5*p - 4*z, -4*z + 3907 = s*p - 6*z. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8605433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 + 51876*f**2 - 1009480950*f + 12106302408.\nAnswer: -2*(f - 38901)**2*(f - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1393825928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-54) + (-985)\/(-45). Differentiate 17*b - 45*b - 144 + 53 - q*b with respect to b.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603*q - 11405 + 78633 = -1798*q for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 + -88. Let s be 6 + 9*(28\/(-12) - x). Calculate the greatest common divisor of 27 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -2, 5, 3 in increasing order.\nAnswer: -2, 3, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjjzjjj. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 16*a**3 - 25*a**2 - 6*a - 11. Let h(t) = 3*t**3 - 5*t**2 - t - 2. Let o(i) = 11*h(i) - 2*u(i). Let f be 66\/(-48) - -1 - 27\/(-8). What is o(f)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**4\/24 - y**3\/2 - 9*y**2. Give q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - q**2 + 45. What is the tens digit of t(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*n + 5*m, 0 = 2*n + 3*m - 5 - 20. Solve 2*f + n*t - 5 = 0, -13 + 0 = -3*f - 2*t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -947 - -944.454. Let a = 0.7 + -3.2. Let y = a - c. Round y to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Let x = 7 - 11. Which is the closest to 0? (a) x (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 9. Let g = 5 - 5.4. Let p = -3.5 - -4.5. Which is the nearest to p? (a) 2\/15 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-152 + 110 + 2*c - c).\nAnswer: -c + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 15, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 422752 and 422752?\nAnswer: 422752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1120577 by 2.\nAnswer: 1120577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-13) - 950\/(-247). Find the first derivative of -15 - 12*s**2 - 33 - 92*s**y + 12*s**2 wrt s.\nAnswer: -368*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245 (base 7) to base 2.\nAnswer: 10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-2 - (-292948)\/(-40)). Let h = n + 7315. Calculate the common denominator of h and (12\/10)\/(32\/(-105)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.026.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 9000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52542 + 1003?\nAnswer: 53545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5974875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 - 10.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 - 3*i. Suppose 5*j = 2*j + 9. Let r(s) = -3*s**3 - 2*s. Give j*r(b) - 2*l(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3938746292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 34?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 4 + 34 = 0. Solve -4*a = -6*a - 5*i, 3*a = c*i - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + 48713663.\nAnswer: 48713663.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 11:36 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1595 - -2246. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*7*(100\/10)\/(-70)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**4\/12 + 3*q**3\/2 + 17*q**2 + q + 59. Let h(p) = -p - 6. Let r be h(5). What is the units digit of b(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -36. Find the common denominator of -109\/18 and (852\/(-144))\/(k\/(-2)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + (-1274)\/210)*(-240)\/208.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0675, -0.3, -0.2?\nAnswer: 0.0675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182964114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79.805 + 0.195. Let o = -77.68 + g. What is o rounded to 1 dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.903 (b) 66 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*t - 13 = 1, -p + 4*t - 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 9) in base 15?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2442*t - 1821*t + 5754*t - 1493*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 12679020 to the nearest ten thousand.\nAnswer: 12680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31072, 31075, 31078?\n\"Answer: 3*d + 31069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -c - 26, 0 = 58094*w - 58091*w - 2*c - 31 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 8*t**2 - t**2 + 26*t**2 - 4*t**2 - 100 + 100.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 3 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -17931 < -17946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 896 and 32.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -265 + 268. Solve 6*d + 12 = w*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10344 - 10417) + (-1 - -101)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2 - 1) + -4 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 2\/7, 0.5, 4.78449?\nAnswer: 4.78449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686482 is divided by 187?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = -4. Suppose 4*j + 8 - 32 = 0. Let n(r) = -r**3 + 7*r**2 - 6*r + 4. Let c be n(j). Solve -c*b - s = -13, 0*b + 4*s = -v*b + 24 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 2450089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.216 - 0.116. Sort -0.5, u, -0.2.\nAnswer: -0.5, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Suppose -18*n = -13*n - 10. Suppose n + 28 = 6*t. Solve -t*p + 10 + 10 = y, 2*v - 4*p + 16 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25800, 25884, 26090, 26472, 27084?\n\"Answer: 9*d**3 + 7*d**2 + 25784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/11*q + 2\/11*q**2.\nAnswer: 2*q*(q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72082 is divided by 89.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 7*x - 2. Calculate t(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118679 is divided by 9128?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 121616433?\nAnswer: -121616436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-40)*1\/4. Which is the closest to -9? (a) -4 (b) 4\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 33163 = 10*q - 5*o, 2*q + o = 22111. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**5 - 905*i**4 + 39575*i**3 + 124205*i**2 + 126040*i + 42320 = 0.\nAnswer: -1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - ((-140)\/105)\/((-20)\/(-54)). Factor -2\/5*t**3 + 6\/5*t**2 - y + 0*t.\nAnswer: -2*(t - 2)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 - -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from ntoototrtwoomtrmt.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*d + 5 = 450*d, -4*l = -7*d + d - 17 + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111189, -222342, -333495?\nAnswer: -444648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -14. Let i be 8 + -2 + 0 + f. Suppose o - 232 = -i*o. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 1)*2\/(-2). Suppose -7*f = -4*f - 231. Suppose -18 = -j*l + f. Solve -v + 9 = -5*p - 2, -5*p = v + l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {h: 8, c: 2, v: 8, g: 1, m: 1}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 4 - 4) + 53 - (-26 + 18 - -4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9 + (84\/238 - (-2978)\/714)?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-115)\/(-391))\/(5\/85)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 6. Let a be p(-4). Suppose -3*n = t - 49 - 0, -5*t = 2*n - 11. Let o = 13 - n. Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*s - 10882*a**2 + 2*a*s + 28*a - 41109*s with respect to s.\nAnswer: -3*a**2 + 2*a - 41109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -2\/67 (b) 6\/11 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5247491*y**6 + 156154955*y**2?\nAnswer: -629698920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = 7*w. Let z(c) = 2*c**2 + c + 1. Let b be z(w). Suppose m - 45 = -b*m. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16863457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e7b6 - -13?\nAnswer: -2e7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*a, -38*a + 43*a + 13 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 5*o + o**2)*(-o + 2*o**2 + o) + (1 + 3 - 1)*(0*o**4 - 3*o**4 + 2*o**4) - 198 - 19*o**4 + 198.\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2490577 and -5?\nAnswer: 12452885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5863327049 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 - 21171104*v\/5 + 21171106\/5.\nAnswer: -2*(v - 1)*(v + 10585553)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**3 - 32*l**3 + 23*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/3074?\nAnswer: 1\/3074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*d**3*j*k - 2*d**2*j*k - 11*d**2*j + 3*d**2*k + 3*d*j*k - 4*d - j*k - 7*k wrt d?\nAnswer: 48*d*j*k - 4*j*k - 22*j + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*o - 100287, 4*o + 100028 + 265 = 3*z. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76381, -76300, -76219, -76138?\n\"Answer: 81*c - 76462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153*t**3 + 130*t**2.\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 + 27*b**2 - 4*b + 13. Let r be u(13). Let n = -66 + 92. Calculate the greatest common divisor of r and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1875*q**4 - 427200*q**3 + 4530888*q**2 - 716736*q + 28560 = 0. What is q?\nAnswer: -238, 2\/25, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -424433 divided by -5\nAnswer: 424433\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 4, l: 1, t: 2}. What is prob of picking 2 t and 1 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.2427 rounded to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/42*154\/(-660)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1364081 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 884 - 883.99. Which is the biggest value? (a) -0.5 (b) n (c) 4 (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/4636032 and -107\/216?\nAnswer: 41724288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-86613)\/9)\/((-2600)\/(-6)). Let z = m - -2511\/52. Let o = -26 + z. Is o less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 270 = -6*t. What is the highest common factor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*j**4 + 9*j**3 - 4*j**4 - 9*j**3 + 3*j**2 - 3*j**2 + j**4 + (2 + 2*j**2 - 2)*(-2 + 2*j**2 + 2) - j**4 + 2*j**3 - 2*j**3.\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97490 is divided by 9501?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 5, p: 1, u: 1, y: 1}. What is prob of picking 1 p and 1 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1. Let i = -22 + 27. Let u(d) be the second derivative of d**3\/6 + 5*d**2\/2 + d. Calculate i*g(p) + u(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5265 divided by -6.\nAnswer: -1755\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15545 is divided by 2249.\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + b3?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4) - (-209)\/(-44). Let n(p) be the third derivative of p**4\/12 + 2*p**3\/3 - 3*p**2. What is n(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3809 and -1.1457?\nAnswer: -4363.9713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + p**2 - p**2 + (4*p - 4*p + 2*p + (1 - 2 + 0)*(5*p - 5*p - 2*p) + 8 - 8*p - 8 - p + 3*p + 3*p)*(3*p**4 + 2*p**2 - 2*p**2).\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1635c5 (base 14) in base 7?\nAnswer: -6416235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17512.14 + 17512. Sort -9\/2, g, 7 in decreasing order.\nAnswer: 7, g, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + -7 + (-1*15)\/(-3). Find the second derivative of -21*o**2 + t + 4*o**2 - 15*o**2 - 7*o wrt o.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 12:41 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412*i - 437*i + 175 = 0. Let x(w) = 103*w. Let u(s) = -52*s. Calculate i*u(c) + 3*x(c).\nAnswer: -55*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m - 10. What is s(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 58, 7, 24302 in increasing order.\nAnswer: 1, 7, 58, 24302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/7 - 412802*j\/7 = 0.\nAnswer: -412802, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/235680 and -113\/5444208?\nAnswer: 54442080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1) + (-10)\/(-5). Let x(w) be the third derivative of w**5\/30 - w**4\/4 - 7*w**3\/6 + 53*w**2. Let z be x(h). Solve -b = z - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 5*t + 348 = 0. What are the prime factors of t?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2))**(-1\/2))**(-46)\/(((p*p**(-4))\/(p\/(p\/p**(-7))))\/((p\/p**(4\/5))\/p**(-1))) assuming p is positive.\nAnswer: p**(87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4, -4, -1\/16, 0.1.\nAnswer: -4, -1\/3, -1\/16, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/5, 3, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.859 + 6.11. Let u = c + -0.384. What is u rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1167.4294853 + -11.31\nAnswer: -1178.7394853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + 12)*(-26 - 1). Let f = g - -180. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671.987 centimeters to millimeters.\nAnswer: 6719.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + (-11 - 1) + 49 + (3 - 47).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.36 + 0.36. Let f = -26.0081 - m. What is f rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 840223854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-15)*3 - 771680\/(-100) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40 and 15.8.\nAnswer: 55.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -63 - (5 - 26)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 176 and -0.04.\nAnswer: -7.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/211770 and -19\/9412?\nAnswer: 423540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/((-17)\/51). Let v(y) = 20*y - 18. Let l be v(k). Solve -11 = -0*t + l*t + j, -2*t - 3*j - 21 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -7*(-19)\/2 + 4\/(-8) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9693 and 223326.\nAnswer: 240522102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, 0.3, -0.23, -1\/2, 102, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.6902182um?\nAnswer: 0.00006902182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w - 1. Let u be i(1). Find the second derivative of 4*l**3 - 11*l**3 + u*l + 2*l**3 + 3*l**3 wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.35 and -0.31?\nAnswer: 1.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 1. Let n be w(3). Suppose n*o = -20, -2*m + o = -4 - 13. Is (2\/m)\/(4\/132) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(5\/2)\/n)*n)**28\/((n\/(n*n**(5\/8)))\/n*n**24) assuming n is positive.\nAnswer: n**(157\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 0.5 (c) -0.1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(96) - (sqrt(2) + sqrt(128)*3))**2.\nAnswer: 9801\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 6*x + 4*x)*(-2 + 2 - x**2) - 418*x**3 - 496*x**3 - 72*x**3.\nAnswer: -985*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 22810038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60, -119, -178, -237, -296?\n\"Answer: -59*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 5 = 3*q. Differentiate 3 + q + 16*p + 1 - 4*p wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 7 - (4 - 1). Suppose -2*z = -6, -4*b + 5*z - 21 = -r*b. Round b to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -984.68979 take away -6.5?\nAnswer: -978.18979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, u: 12}. Give prob of picking 3 u and 1 k.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x - 105*x - 3*l = -53*x - l + 13, 4 = -l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 3*p - 13. Let i be j(12). Suppose o = 0, -4*o = -3*r + 1406 - i. List the prime factors of r.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 - -0.064\nAnswer: -1.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -57256.\nAnswer: 171768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57 + (15\/(-5) - 2). Suppose -4*t - o = -6*t. Calculate the greatest common factor of 26 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24400708 is divided by 476.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -3\/2, -0.1, 23, -3\/20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000478079544 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -336245 (base 7) in base 13?\nAnswer: -212c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - 3*s**2 + s**2. Let h(d) be the second derivative of -d**4\/6 - 22*d + 2. What is h(u(r))?\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177230898 to the power of 1\/3, to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 34*o**2 + o + 2. Calculate the remainder when z(1) is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -160, -97, -64, -61?\n\"Answer: -15*g**2 + 108*g - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5520432 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/16 and 29\/1446.\nAnswer: 11568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-45)*(-5845)\/(-2). Let a = -229\/9 + f. Let h = -4235 + 38162\/9. Find the common denominator of h and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 2603?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 407 by -13.\nAnswer: -407\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10792\/(-475) - -22)*(4 - 84\/18)*5.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 27 = -12. Suppose a + 3*r - 8 = 3, 3*a + q*r - 13 = 0. What is the tens digit of 12\/a - -3*11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15272557 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 27*a - 6. Let t(g) = -13*g + 3. Let b(k) = -7*t(k) - 3*v(k). Let u be b(8). Calculate the greatest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/2 - 5474637*o**2\/2 + 2737320*o.\nAnswer: -3*o*(o - 1)*(o + 1824880)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 + 110*a**3 + 656*a**2\/3.\nAnswer: a**2*(a + 2)*(a + 328)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 5) in base 6?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 58*x + 6241. Let d be q(-106). Solve d*j + 106 = 40*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 3*h + 1 + 3*h + 0*h. Let g(r) = 10*r**3 - 4. Let l(n) = 3*g(n) + 14*u(n). What is the first derivative of l(k) wrt k?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5262\/13 - 47332\/117. Suppose -40\/9*s - 16\/9*s**2 + 32\/9 + p*s**5 - 16\/9*s**4 + 38\/9*s**3 = 0. What is s?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - 3*sqrt(156))\/sqrt(12) + -3*sqrt(208) + ((1*sqrt(130) - sqrt(130))*-4 + sqrt(130))\/(sqrt(160)*-1))**2.\nAnswer: 42237\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**3 - 12*z**2 + 12*z**2)*(-4*z + z - 2*z) - 1 + 1 - z**4.\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 9:15 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*i - 6. Solve r - 6 = -c, 5*r + 0*r = i*c + 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 616650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 304? (a) -0.04 (b) 1\/21 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7445 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001011001001011000 (base 2) to base 4.\nAnswer: 2023021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.274854903 rounded to 4 decimal places?\nAnswer: -0.2749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 179*v**4\/12 + v**3\/3 - 2*v. Let y be f(2). Suppose 2*j - 3*j - y = 0. Round j to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 70746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((4\/12 - 3) + 2). Let c be 2\/(-2 + 0\/u + -1). Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 39*v**2 - 145*v + 1329. What is z(36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(198))\/((-2*sqrt(11) + sqrt(11))*-6) - ((sqrt(144)\/sqrt(4))\/sqrt(2))\/((sqrt(90) - sqrt(90)*2)\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 - 6*k + 552. Let l(t) = -14*t**2 + 17*t - 1564. Let v(q) = 17*j(q) + 6*l(q). Let g(c) = -367*c**2. Give g(v(z)).\nAnswer: -367*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11062, 22206, 33286, 44302, 55254?\n\"Answer: -32*g**2 + 11240*g - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9153 divided by 1017?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (2 + 2 + -2). Let q(p) = -p**z - 3*p**2 - 5*p**2 + 0*p**2 - 7. Determine q(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36b8 (base 16) to base 2.\nAnswer: 11011010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 12 = -9. Let w be 240\/70 - l\/7. Solve 8*s + 15 = w*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5\/9 - 16*x**4\/9 - 32*x**3\/9 + 4*x**2 + 18*x + 12 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(3\/8)*-39. Let w(x) = 68*x - 52. Let q(z) = -4*z + 3. Suppose -22*n = -14*n - 48. Let i(h) = n*w(h) + o*q(h). Determine i(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-2 + -3 - sqrt(204)\/(-1*sqrt(12)))*-5.\nAnswer: 15 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 193805335 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158725*p**2 - 7091*p + 9 wrt p.\nAnswer: 317450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/3 and 144\/14 + -7 + 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 3*r**2 + 4*r - 5. Let i be h(2). Let z be (10 + i)\/((-9)\/(-24)). Let k(t) = z*t - 76*t + 22*t - t**2 + 24*t + 6. Give k(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4787 + -2 - (40 - 43)?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664784 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 45*u**2 - 56*u + 150. Calculate q(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0306+28\nAnswer: 27.9694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39286565 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*((-4 - (2 + -50)) + -5). What is the second derivative of -133*n**3 + 3*n**2 + 44*n - 3*n**2 + w*n**3 wrt n?\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (2\/(-5))\/(111\/(-183150))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 761594413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/84 - (-34)\/(-119)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 - 68.8. Which is the closest to j? (a) 4 (b) 1\/19 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/2*9\/18. What is the greatest common divisor of m and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 56 + 31 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z + 2*z. Let n = -2 - z. Sort 0, n, 2 in decreasing order.\nAnswer: n, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 37. Let s = -8 - -4. Which is the second smallest value? (a) s (b) -2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -5 + 16 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = -3. Let j(o) = -7*o. Let y be j(-1). Let p = y + q. Solve -p + 4 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m. Let k(t) = -t**2 - 67*t - 2. Let s(b) = -2*b**2 - 68*b - 3. Let y(p) = 3*k(p) - 2*s(p). Calculate y(n(j)).\nAnswer: 16*j**2 - 260*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14902733 and 11853?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -56. Suppose -l + 1 + 3 = 0. Let o(i) = -i**2 + 6*i - 3. Let z be o(l). Calculate the highest common factor of z and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from {t: 1, f: 4, k: 5, d: 8}?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015452 to six decimal places.\nAnswer: -0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25947*s**2 + 52452*s + 26508 = 0.\nAnswer: -94\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-21)*((-93457)\/(-158))\/(-169)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96727892509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h - 20. Let b(r) = r**2 + 9*r - 19. Let z be b(-10). Calculate the lowest common multiple of 48 and v(z).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from {j: 2, q: 1, t: 14}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 22, 41, 66?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8701, 8696, 8695, 8704, 8729, 8776, 8851, 8960?\nAnswer: 9109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*q + 15, l + l = 4*q - 10. Suppose -1 = -l*f + 9. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.954 - 0.046. Let s = -58 - o. Let b = -59 - s. What is the nearest to -0.1 in b, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67107414 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: Collect the terms in -311726*d**2 + 311726*d**2 - 2*d**3 + 0*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 5, -3\/2, 25, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 12 = -0. Suppose -5*w - 2*l = -174, v*w = 3*l - 4*l + 105. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1749 + 1734. Put 3, c, -0.3, -1\/6 in ascending order.\nAnswer: c, -0.3, -1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000011302 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -48, 118713, -11 in ascending order.\nAnswer: -48, -11, -2, 0, 118713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 10*h - 12. Give p(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 0*y**2 + 0 - 1\/3*y**3 + 2*y. Let f(c) = c. What is n(f(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2141 - 2052. Calculate the remainder when 181 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0)\/((5\/(-5))\/1). Suppose f = -3*s + 4*s - 11. Factor -8*x + 26*x - 3*x**3 - 4*x**2 - s*x**2 + 18*x**2.\nAnswer: -3*x*(x - 3)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + b + 5, 3*b - 3 = 2*v + 3. Suppose i - 21 = 5*n, 0*n = v*n. Let m = i + -36. Is m less than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 - 23*x**3 + 143 - x**2 - 325.\nAnswer: -23*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.99 or 3\/20?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = s - 2*l, -9 = 5*s - 5*l + 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*o - 238, 5*i + 2*o = -2*o + 266. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6152584133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.990744 + 221544702\nAnswer: 221544703.990744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19893 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -276841.2 - -276841.3800003. Let u = o - 0.18. Round u to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 224 - 44?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*o = -46, 2*p - 24 = -4*o + 10. Solve p = 4*u - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 6. Let s be c(7). Let d(f) = f**2 - f. Let u(j) = 9*j**2 - 5*j + 3. Let q(x) = s*u(x) + 5*d(x). Differentiate q(i) wrt i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 4*i**2 + 2*i - 3. Let t be r(-5). Let q be ((-1)\/(-3))\/(1\/(-3)). Let v = t + q. Calculate the greatest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534*q - 292171593 - 193574354 = 143*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60518.\nAnswer: 2, 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(102) - sqrt(102))*3)\/(sqrt(6) + -5*(sqrt(6) - 2*sqrt(6)) + -2*sqrt(600)).\nAnswer: -3*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 20, -2*u + 3*j = -4*u - 12. Determine f so that 0*f**3 + 0*f**4 + u*f**2 + 0*f + 0 - 1\/4*f**5 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbj. Give prob of picking 1 b and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -236.410046 - 0.051229\nAnswer: -236.461275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at most as big as -0.498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15050 and 7700?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221784581.\nAnswer: 221784581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3516, -2\/889, 2\/7?\nAnswer: 3516","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 + 85*f**2 + 317*f + 90. Calculate q(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, w: 1, t: 1, y: 1, d: 2, f: 2}. What is prob of sequence qdwy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128844 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**4\/5 - 453*g**3\/5 + 68853*g**2\/5 + 431697*g\/5 - 500094\/5 = 0?\nAnswer: -243, -7, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 3)\/(-1 + -1). Let o be (1*-9)\/(f\/2). Let t = o - -58. Round t to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11437 + 22875 - 16269*x - 11438 to the form v + a*x and give a.\nAnswer: -16269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3602338381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119727 + 1938.\nAnswer: 121665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejejieejejjjepeje. What is prob of picking 1 p and 3 e?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.37 + 0.27. Suppose -4*u + 10 = -14. Let l be (-6)\/(-8)*12\/u. Sort l, -9, o in decreasing order.\nAnswer: l, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 37*c + 21. Let i be b(6). What is the highest common factor of i and 456?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012 = -113*k + 329*k + 7492 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/290 + 39026\/(-2291).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thdttttdtdyy. Give prob of picking 3 t.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10210 (base 3) to base 8\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 537775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.888 + 5.188. Let g = 0 + -12. What is the nearest to h in g, 2, 4\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 5. Let n be i(-5). Let h(l) = 3 + 3*l + n*l + l. Calculate h(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - q + 1. Let o(h) = 2*h**2 - h - 4. Let z(v) = -b(v) - o(v). Let r be z(4). Let p = -1 - r. Solve x = p*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1\/(-1)*2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55625.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 j when three letters picked without replacement from paaapppajapapjpaap.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1602\/42 - (-3)\/(-21) - (7 - -4). Let l(u) = -u**2 - u. Let x be l(0). Solve -5*v + 3*y + c = x, -2*v + 7*v - 35 = 5*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1455 (base 7) to base 12\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -843 (b) 2.1 (c) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -2*q - 5. Let x = 32 - q. Is ((5179 - 3)\/(-4))\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 471, 1867, 4195, 7455, 11647?\n\"Answer: 466*x**2 - 2*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-64)\/(-5) + 1\/5. Suppose 15 = 3*d + 3. Suppose d*b - 242 = -0*v - 2*v, 5*b = -3*v + 361. What is the greatest common factor of v and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77780489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/70896 and 151\/96.\nAnswer: 141792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12786 is divided by 1272?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 18. Let z be s(15). Let v = -68 - -68. Suppose 20 = 4*i - v*i. Solve i*n - 17 = z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiqg when four letters picked without replacement from giqiffbqfiq?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 28*u + 16. List the prime factors of n(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1001 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 3 = 34*v. Suppose -v*j = -15 - 15. What is the units digit of (-6)\/4*(j + -36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.148 + -0.522. Let o = -0.113 - i. Let m = 0.6 - o. Round m to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 + 18 = 2*a. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12 + ((-34)\/5)\/((-24)\/40). What is the fifth biggest value in -0.1, b, -2, 1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5838 + 52540\/9. Sort p, 7, 2\/547 in decreasing order.\nAnswer: 7, 2\/547, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-25)\/15 - -2)*57. What is the greatest common factor of 76 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + 3. Let l(i) = -2*i + 4. Let d(r) = 5*b(r) - 6*l(r). What are the prime factors of d(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*a - 10380 - 15028 = 0 for a.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9540247 divided by -5?\nAnswer: -9540247\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -1)*690\/(-45). Suppose -4*y = 34 - l. Suppose -7*h + 8 = -y*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 17*j**2 + 3*j + 373. Give i(16).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -908 (base 15) in base 14?\nAnswer: -a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*z + 5*z. Let j = z + 48. Solve j = -3*c + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 1 - 2)*(-3*p - 1 + 1)*(-2 + 4 - 1) + 0*p - p - p)*(-9565*p + 162*p**2 + 9565*p) as v + t*p + j*p**3 + y*p**2 and give j.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-225)\/9 + 432*38\/(-532).\nAnswer: -41\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 29321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*f - m, 15 + 9 = -f - 3*m. Let u(s) = -4*s**2 - 4*s + 6. Let q(k) = 3*k**2 + 4*k - 5. Determine f*q(c) - 5*u(c).\nAnswer: 2*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 419 - 256 = 0. Let o = p - 217. Calculate the greatest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5125 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00322663 rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 134 - 150 + 0*t - 5*t + 5*t + 3*t - 2*t + 1 - 1 + (2 - 5 + 4)*(-4*t + t + t) - 2*t - 2 + 2 + 1 - 1 + 2*t)*(-2 + 3 + 1).\nAnswer: -6*t - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 53380230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 8 = -2*d, -5*z = 44*d - 39*d + 5. Which is the closest to d? (a) 209 (b) -2 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-7) + (-6)\/(-21). Let b be (-1 - (-4)\/2)\/l. Is b\/(-2 - -1) + 13 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4304? (a) -2 (b) -333 (c) 1 (d) 0 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.002 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -31) + 3074 + -3093\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 16. Let p be h(-11). List the prime factors of ((-610 - p) + -3)\/(-1).\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2576576*z + 5 + 1.\nAnswer: 2576576*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i = 50. Let o = i - -44. Suppose 5*q = v - o, 5*v + 0*q = -5*q + 285. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 3. Let s be k(-2). Let z = 21 + s. What is the lowest common multiple of z and (15\/(-1))\/(21\/(-14))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**3*w + 235*s**2 - 194*s*w - 5*w + 43320 wrt s.\nAnswer: -3*s**2*w + 470*s - 194*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 6*a - 248. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d**2 - 46*d + 64. Does 7 divide v(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 0*m**5 - m**5 + m**3 + 7*m - 4*m**5 + 3*m**3. Let t(f) = f + 8*f**2 - f**5 - 8*f**2 + f**3. Let w(p) = -c(p) + 6*t(p). Find i such that w(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 2 - (9 + -6) - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27432?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**4\/4 + d**3\/3 + d**2\/2 + 5*d + 5. Suppose 0 = 2*n - 3*n. Is 3 a factor of u(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + v - v + (3*v + 0*v - 2*v)*(3*v - 4*v - v) + (-124756*v - 104460*v + 211703*v)*(2*v - 3*v - v) to the form y*v + f*v**2 + k and give f.\nAnswer: 35025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 18 = -2*r, 4*w + 7 = 3. Suppose 3*p - p = r. Let x(o) = o**3 - 4*o**2 + 3*o - 6. What are the prime factors of x(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What is the next term in -944, -959, -998, -1073, -1196, -1379, -1634?\nAnswer: -1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwrruurxrxwxrxxxrr. Give prob of picking 2 r and 2 u.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 44*s - 44. Determine k(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**3 - 1398*d**2 - 18984*d = 0.\nAnswer: -452, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*10\/((-500)\/110). Let z(y) be the second derivative of 2\/3*y**2 + 0 + 11\/9*y**3 + 1\/2*y**4 + l*y. Suppose z(t) = 0. What is t?\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*h + 6*h. Calculate the least common multiple of h and (-1)\/(8\/9 - 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -8. Let a be 5 + -1 + (c - 0). Suppose -5*v - a*r = 1, 0 = v + 4*r - 0*r + 7. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*n - 5*n - 30 = 0, -5*n + 7 = -2*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (20 + -10 + -3) - 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217194739109 take away 15?\nAnswer: 217194739094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13270 in 4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 1\/7, 0.3 in decreasing order.\nAnswer: 0.3, 1\/7, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Let g(i) = 2*i. Suppose -5*p = -3*w + 16, -5*p + 19 = w + w. Calculate the remainder when w is divided by g(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*m = -15, -3*x = -214*m + 210*m - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q + 5. Let x be h(4). Let s = 45 - x. Is 9 a factor of (-9 + 0)\/((-15)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + 9. Let h = q - 84.999951. What is h rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 586 = 525*q - 523*q, 4*q = 3*k + 1186. Calculate the highest common factor of 10 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from {m: 14, z: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s + 3*u - 13 = 0, 0 = -5*s + 5*u - 15. Let f be (s\/10 + 23\/(-5))\/(-1). Solve -2*q + f = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 127*w - 4 = 131*w, 4*u - 2*w = 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) - 6\/(-4). Let g = n + 2. Suppose -5*w + 5*t + 10 = 0, 2*t = g*w - 3*t. Solve 0 = -5*c - 5*h - 15, w*c - 2*h = 7 - 29 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 25008860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9044.86 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20684769, -41369543, -62054317, -82739091, -103423865?\nAnswer: -124108639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 0*k**2 + 0*k + 2\/3*k**3 + 19. Let j(b) = -11*b - b + 10*b. Calculate m(j(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - -6. Suppose 0 = -3*i - m + 170. Calculate the remainder when i is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-800)\/30)\/((-1)\/3). Let u = -67 + i. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvddvuvomoouevu. What is prob of sequence de?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(3*sqrt(7)*-1))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 127*s**7\/210 - s**6\/60 - s**5\/30 + 19*s**3\/3 - 9*s**2 - 6*s. What is the third derivative of p(y) wrt y?\nAnswer: 3048*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -173390 and -14?\nAnswer: 2427460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -511 < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -509096807\nAnswer: 509096814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -132 - 3?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 31338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 329 = 2*g - l, 2*g = -2*l - 230. Let w = 267 + g. Calculate the remainder when w is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/15 - 196*p**4\/5 + 14896*p**3\/15 - 38688*p**2\/5 + 60896*p\/3 - 16960 = 0. What is p?\nAnswer: -318, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 64, -2, -9, 2, 52 in descending order.\nAnswer: 64, 52, 4, 2, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4354475256.\nAnswer: 2, 3, 67, 902669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -47*w**3 - 10*w**2 - 32*w + 55. Let o(s) = 9*s**3 + 2*s**2 + 6*s - 11. Determine -11*o(j) - 2*z(j).\nAnswer: -5*j**3 - 2*j**2 - 2*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16 - 0*7\/35. Let h be ((-25)\/(-15))\/(2\/6). Suppose -3*d - a = -528, -d + h*a - 880 = -6*d. What is the highest common factor of d and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3)*(119 + 11*w - 119)*(2*w - 4*w + 0*w).\nAnswer: -66*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -9*g - 52. Calculate p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*n + 5*h + 19, 5*n - 3*h = 5. Let r be -2*(-4 - n)\/4. Let d(w) = -45*w. Let q(k) = -11*k. Let j(b) = 2*d(b) - 9*q(b). What is j(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 819 divided by 12.\nAnswer: 273\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4490 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/7 (b) 5\/3 (c) -14 (d) 5767\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 divided by -8?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*z + 42*z - 3676680 = z. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -60*u + 963. Let y be p(16). Let a(m) = 10*m + 3. Let s(l) = -10*l - 2. Determine y*a(z) + 4*s(z).\nAnswer: -10*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15554416 or 15554413?\nAnswer: 15554416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001633 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2277 - 2227. Calculate the highest common divisor of 150 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5, 4*c + 151 - 783 = -4*g. Is (c\/(-2))\/(18\/(-156) + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18 + 18 + -3*2. Let n(p) = 3*p + 15. Let t be n(m). Which is the third biggest value? (a) t (b) 1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 11*q**2 + 8*q + 2. Let k be h(-10). Find the third derivative of k*x**4 + x**2 - 31*x**4 - 3*x**2 wrt x.\nAnswer: -216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -236324*y**5 - 122*y**2 - y - 13 wrt y?\nAnswer: -14179440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53912 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 11*s**2 - 8*s. Is 12 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3533291863 to the power of 1\/3, to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29690?\nAnswer: 2, 5, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*a + 6*a. Let g(s) = s + a*s - s**2 - 3*s - 5*s**2. Let v(c) = 2*c - 4*c - 4*c. Calculate v(g(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 + 0.87. Which is the second biggest value? (a) -1 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19232 divided by -4808\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2053, -2\/49, 4, -0.01?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -69789.4 * 4.6\nAnswer: -321031.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112 + -460451?\nAnswer: -460563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 4*d - 4 = -p, d - 2*p - 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**4 + 3*x**3 + x**2 - x. Let v(t) = 2*t**5 + t**4 - 71*t**3 - 34*t**2 + 6*t. Let l(d) = 6*h(d) + v(d). Factor l(f).\nAnswer: f**2*(f - 4)*(f + 7)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122221222121 - -2201022?\nAnswer: 200001200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 - (-24 + -29 + 9)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(272)*2*-4 + (sqrt(17) + 1 + 1 - sqrt(17))*6))**2.\nAnswer: -12288*sqrt(17) + 280832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*1*(-1 - -3). Let n = 10 + -8. Let o be (8\/n)\/(8 + m). Solve -o*h = -6 - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*x - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3391128386 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2352, -4706, -7060, -9414?\nAnswer: -11768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.74 + -4.74. Let k = -2.17 - i. Round k to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 11*y + 84 - 207 + 9*y.\nAnswer: 20*y + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 28 = -2*m, -4*m = -3*w + 8*w + 46. Let n(d) = -2*d**3 + 17*d**2 - 2*d + 8. Is n(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 18*h - 39. Suppose 5*u - 50 = 3*k, -5*u - 2 + 37 = -2*k. Suppose 0 = 2*y - 38 - 0. What is the remainder when y is divided by j(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 + n**2 - 2*n - 3. Let y = -55 - -59. What is the hundreds digit of f(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20, 0, -4, 8 in decreasing order.\nAnswer: 20, 8, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + 5 - (5 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-420)\/8*(3\/(-9) - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/83 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1789956 divided by 4?\nAnswer: 447489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4201771.4 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 40?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -325*c - 10669. Determine f(-35).\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/22 and -143\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 0.42. Let k = 0.9824 - -0.0176. Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58961, 117921, 176881?\n\"Answer: 58960*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5923095 - 4875.3956095. Let k = w + 4875.1. Let f = k + -2.3. What is f rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*14 - (-3)\/((-12)\/76)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-5)*(-15)\/(-2). Suppose -3*z + 12 + 24 = 0. Suppose -4*d = -2*p - d + 22, -4*p = 2*d - z. Solve -p*g = -2*g - h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 68241*p + 2456670. What is q(-36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019424 * -135.\nAnswer: -2.62224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, s: 2, i: 3, x: 2}. Give prob of sequence xiv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4547699784 to the nearest integer?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4577536 + -1152464. What is o rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16820027 or -16820024?\nAnswer: -16820027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 6*k**2 - 11*k - 4. Let l be z(9). Suppose -4*m + l + 36 = 0. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 15*r**4 + 7*r**4 + 9*r**2 - 12*r**2 + 7*r**4 + r**3 as y*r**4 + o*r + l*r**3 + x*r**2 + u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(114\/30)\/(-19).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.01 - 2.01. Put 0.2, -2\/15, 1\/8, 0.059, k in descending order.\nAnswer: 0.2, 1\/8, 0.059, k, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 158, -3111, -3, 4, 5 in descending order.\nAnswer: 158, 5, 4, 0, -3, -3111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97958.65 millilitres in litres?\nAnswer: 97.95865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 7:55 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - s - 5. Let b be z(0). Let v = b + 6. Let y = 16904 - 16909. Sort v, -12, y.\nAnswer: -12, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1089*z + 1207*z - 318*z + 267*z.\nAnswer: 2245*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*4*-8. Let r = t + -5. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5) + 1)*2 + ((sqrt(5) - (sqrt(5) - (-3*sqrt(5)*1)**2)) + sqrt(5))*-5.\nAnswer: -237 - 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -508285 and 0.2.\nAnswer: -508284.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98550*y + 507 = 98511*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065390 is divided by 7091.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 + 2052368*r\/5 - 526526800928\/5.\nAnswer: -2*(r - 513092)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 4:33 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-3)\/24)\/((-10)\/(-80)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121126 - -112?\nAnswer: -121014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015713781 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 1\/12*k**4 - k + 5\/6*k**3 + 1 - 7\/2*k**2. Calculate d(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-4*h + 4 - 4) - 5*h + 21 - 21 + 0*h - 3*h + 2*h - h + 7 - 7.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 10:17 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13839.09650205 + 13832.6965. Let i = 6.4 + d. Round i to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - i = 1, -4*h + h - 4*i = -29. Let q be (h\/6)\/(1\/(-48)). Let y be ((-10)\/(-3))\/((-16)\/q). Solve y*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/((-5)\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2731?\nAnswer: 1\/2731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**2 + 4*o - 4. Let g be a(1). Let y(i) = i**2 - 14*i - 28. Let j be y(g). Is 120 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 3. Let i(g) = -2*g - 4. Let q(b) = 3*i(b) - 4*s(b). Let k = -4 - -6. Let f(r) = 5*r**k + 1 - 3 + 2. Determine q(f(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and -306.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 329\/338 (c) 0.5 (d) 3 (e) -0.5 (f) -0.58 (g) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2) + 4 + sqrt(44) + 2.\nAnswer: 6 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r + 5*i - 7 = 0, 4*r = -5*i - 21. Let u(l) = l**2 + 11*l + 18. Let s be u(-8). Let z(v) = -v**2 - 4*v + 11. Let d be z(s). Sort r, d, 4.\nAnswer: r, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 11 + -17 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p - 4. Let r(l) = -2*l**3 - 2*l**2 + 3*l + 2. Let y be r(-2). Let h be t(y). Let i = 34 - h. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + i = -i + 68, -j = i - 13. Let z be 48\/21 + (-4)\/j. Suppose 0 = 2*r + 6, -r + 5*r = u + z. Which is bigger: u or -15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2)*6 - 1*sqrt(5)*-2 - (sqrt(125)*2 + 4)**2.\nAnswer: -516 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g. Let t(a) be the third derivative of -a**6\/360 - a**4\/6 - 3*a**2. Let o(i) be the second derivative of t(i). Determine o(n(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27\/7 (b) 7 (c) -0.0762\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 138350 times 6?\nAnswer: 830100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*n - 64 = 160*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 59\/2*(3 - 1). Differentiate 6*x**2 + 6 + 59*x - q*x wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 411032110 (base 5) to base 9\nAnswer: 3106812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from uowkkkkkkuwkkkwk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(-30) - (-3)\/(-18). Let l = -3.4 - -3. Suppose 0*c + 2*c = -2*f, 4*f = 3*c. What is the nearest to c in l, y, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 1, -4*d - 5*b = -0*d - 45. Suppose -d + 10 = u. Let q(y) = y**3 + y**2 - y - 5. Determine q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2029730 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27411 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(468) + sqrt(468) + (sqrt(832) - 2*sqrt(832)).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g**3 + 3*g**2 - g. Let v(a) = -a**3 + 5*a**2 + 6*a + 3. Let w be v(6). Let x be i(w). Is ((-10)\/3)\/(14\/x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1970283, 1970286, 1970291, 1970298, 1970307, 1970318?\n\"Answer: i**2 + 1970282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 5 + 6)*(2 + 1 - 2)*(2 + 2 - 8*a - 5) to the form k*a + b and give k.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 + 6.2. Let p = -0.9 + d. Sort -4, p, 4, 0 in decreasing order.\nAnswer: 4, p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:29 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-270)\/(-81))\/(45\/(-216))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 4*u**2 - 7*u - 7. Calculate g(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*m**3\/4 + 114975*m**2\/2 + 138105*m + 82890.\nAnswer: -5*(m - 1842)*(5*m + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmmbbbmbbbmmmbbbbb. Give prob of picking 2 b.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence accj when four letters picked without replacement from tuajcuakujca.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.5 - -5.4. Let p be (-1)\/2 + 15\/(-6). What is the nearest to t in -0.5, -4, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-64)\/8 + 11 - 3*19. Suppose 5*n = 3*s + 293, -n + 5*n - 233 = s. Let j = v + n. Solve j*x + 9 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.5 - 8.5. Let r be ((-1)\/1)\/(-7 + 8). Which is the nearest to -2\/3? (a) g (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5901821 and -753.1.\nAnswer: -5902574.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29355)\/665 + (5 + 2)\/49.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bibjxxccz. Give prob of sequence bxxz.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295619 is divided by 473.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -1\/6*g**4 + 0*g**2 + 1\/30*g**5 - 1\/360*g**6 + 0*g + 3 - 8\/3*g**3. Let x(r) be the third derivative of z(r). Factor x(j).\nAnswer: -(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*s - 1 + 95, v + 5*s - 115 = 0. Suppose -8*x + v = 12*x. Solve 4*u = d + 25, 3*d - 2*u + 4*u + x = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/41, -2, -54, -0.4, 7, 2\/9, 4 in descending order.\nAnswer: 7, 4, 2\/9, 2\/41, -0.4, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -6. Let n = w - -6. Let r = -49 - -51. Calculate the highest common factor of n and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4*x = -51, -53 = -3*b - 37708*x + 37704*x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 166536, 333071, 499602, 666129, 832652?\n\"Answer: -2*o**2 + 166541*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2 + 8630*v - 2446100 = 0.\nAnswer: 305, 4010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110120002122 - -1021?\nAnswer: 1110120010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52445 and 17186535.\nAnswer: 292171095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4907 + 24371. Suppose 0 = -2*c - u + k + 14247, c - 2*u - 16853 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 9, i: 2, t: 2}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 475505.3 years?\nAnswer: 475.5053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4752, -19188, -43300, -77088?\nAnswer: -120552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2283, 2906, 3537, 4176?\nAnswer: 4823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116242 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121100021122 (base 3) to base 7.\nAnswer: 2506613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822212?\nAnswer: 2, 205553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -864 - 4097*s**2 + 864 + 8191*s**2 + 562*s - 167*s - 4097*s**2.\nAnswer: -3*s**2 + 395*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -63. Calculate the remainder when s is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 561020?\nAnswer: -561030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h + 2356 - 2356. Let j(m) be the first derivative of -m**5\/60 - m**2\/2 + 2. Let q(l) be the second derivative of j(l). Calculate r(q(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 242204?\nAnswer: -242214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b - 2c?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8572 + -6396. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*l**5 - 3063*l**4 - 1715*l**3 + 34795*l**2 + 44400*l + 10908 = 0. Calculate l.\nAnswer: -202\/3, -3, -1, -1\/3, 18\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5 + 44*y**4 - 108*y**3 + 100*y**2 - 32*y = 0. What is y?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**5\/3 + 183281*q**4\/3 + 91642*q**3\/3 - 30547*q**2 = 0.\nAnswer: -1, 0, 1\/2, 91641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -3974, -29\/47, -0.2, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 8)*(55*j + 1334 - 1334) + (0*j + j - 2*j)*(3 - 1 - 3) - 4*j + 9*j + 6*j.\nAnswer: 342*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2. Let o be h(-1). Which is the smallest value? (a) o (b) 0 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 5924*h - 77347. Give g(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 1 - 1)*(-2 + 2*r + 2*r - 7*r)*(-2 - 2 + 3).\nAnswer: 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = 31*k - 327 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-47)\/6 + (-30)\/(-36))\/(-1). Suppose 0 = -5*x + r + 31 + 70, -x - 5*r + 15 = 0. Solve -2*t = -q*t - x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 6:49 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/13 + 790*f**2\/13 + 3184*f\/13 + 3192\/13.\nAnswer: -2*(f - 399)*(f + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 1:18 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -1\/8*o**4 + 1\/60*o**6 + 0*o - 1\/6*o**3 + 0 + 3*o**2 - 1\/30*o**5 + 1\/336*o**8 + 1\/70*o**7. What is v in w(v) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88462*v + 22841.\nAnswer: -88462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + 14*r**2 - 427*r + 2494. What is m(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -103180 - 3530\nAnswer: -106710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 16*y + 2. Let k be s(-16). Let h(m) = 6*m - 5*m**2 - 3*m - k*m**3 - 6*m. What are the prime factors of h(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002734 to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7172250251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-220)\/25)\/(-4*(-7)\/140). Is -51 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -3\/2, 4\/3, 2, -0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42\/28)\/(3\/4). Suppose 224 = 4*c - 4*n, -2*n + 163 = s*c + 63. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -345, -5, -4, 4.\nAnswer: -345, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -5 + -13 - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = -2. Let g be (-4 + 1)*4\/(-6). Suppose 0 = 2*c + g*c. Solve c = 5*q - h + 11, v*h + 10 = -q + 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 50190*i**2 - 132546300*i + 32652475880.\nAnswer: -5*(i - 4882)**2*(i - 274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 407 and 298331?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(52))\/sqrt(4) - ((0 + sqrt(13))*-4 - (4 + 1*sqrt(13))).\nAnswer: 4 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -116*a - 710. What is w(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41290 take away 892.1957?\nAnswer: 40397.8043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -31383, 4\/3 in ascending order.\nAnswer: -31383, 2\/11, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and -954.21.\nAnswer: 162.2157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 12. Suppose 3*u = -0*u - 2*p - 16, -8 = 3*u - 2*p. Which is the third smallest value? (a) 1 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 51437*h**2\/4 + 661312631*h\/4 + 3307849205\/4.\nAnswer: (h - 25721)**2*(h + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -3\/8, 57836?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2\/9, -334, 53, 0.4, 0.1?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 109*a**3 + a**2 - 3*a + 1. Let r(m) = -2*m**2 - 20*m + 24. Let n be r(-11). What is the units digit of p(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 3}. What is prob of picking 3 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c**2*d*x**2 - 3*c**2*d - 7*c**2 - c*d*x - 12704*c*x - 2*d + 33 wrt x.\nAnswer: 8*c**2*d*x - c*d - 12704*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121832485?\nAnswer: 5, 97, 251201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**6\/1080 - n**5\/15 - n**4\/216 + 2*n**3\/3 - 28*n**2 - n. Determine v, given that y(v) = 0.\nAnswer: -1, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 1.48\nAnswer: 11.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -846470, -1692945, -2539410, -3385859, -4232286?\n\"Answer: d**3 - d**2 - 846479*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 693450781*x**4 + 382209*x**2 - 5*x?\nAnswer: 16642818744*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3434 + 3444. Let o(w) = w**3 - 12*w**2 + 17*w + 12. Calculate o(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1504 - 1053. Let l = w - 211. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9411 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -5\/6, 2 in descending order.\nAnswer: 2, -5\/6, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 9*j - 1137 = -8*j, -5*m - j = 1422. Let q = -3138\/11 - m. Find the common denominator of q and 49\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnrr. Give prob of sequence nnrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 143, -1, -4, -2, 4 in increasing order.\nAnswer: -4, -2, -1, 3, 4, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -32*q**2 + q - 4. Let z be l(2). What is the remainder when z\/(-1) + (-8)\/8 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 23 = 3*w + 2*y, 16 = 2*w + 2*y. Suppose 0 = 2*t - o - 2, 0*o - 14 = -5*t - 2*o. Let j = w + t. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.7, -4, -65, -5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/18)\/((-22)\/99). Suppose 4*u - 200 = -3*o - 2*o, 0 = o + r*u - 24. What is the highest common divisor of o and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/116*-4*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 11*m - 46, -181*m + 1 = -95*m - 91*m - 9 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5971990 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 15*p = -18. Let d be (5\/(-2)*2)\/(p + 2). Solve l = 5*m + 28, d*m = 6*l - 3*l - 34 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -38*l + 445. Let u be m(13). Which is greater: 86 or u?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7448, 28452, 63460, 112472, 175488, 252508?\n\"Answer: 7002*i**2 - 2*i + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 1, d: 2, g: 1}. Give prob of sequence dpgp.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123551 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 38*x**2 - 4*x + 5. Let j be d(-3). Let a = 351 + j. Suppose -a*m + 5*m**3 - m**3 + 706*m = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k + 32 - 32 to j + m*k and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33.49 - 34. Let d = g - 2.69. Let y = 3.2 + d. What is the closest to 1 in 0.2, -4, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from jszjzezssj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 - 175. What is the common denominator of ((-8)\/(-12))\/(f\/(-396)) and 89\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 0. Suppose -2*s - 31 = -w*r - r, s + 124 = 4*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128\/7 + -18. Let o = 3545\/14148 + -2\/3537. Let n = -124 + 866\/7. Which is the closest to n? (a) 5 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 3, -2628 in decreasing order.\nAnswer: 3, -23, -2628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 360.3 + -360.19. Which is the second biggest value? (a) m (b) -0.06 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -825.8 - 257218995.8.\nAnswer: -257219821.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010001001100111011 - 10?\nAnswer: 101010001001100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Suppose 3*u - l = l - 16, 0 = 5*l + 20. Let f(x) = -x**2 - 9*x - 4. Let p be f(u). Solve -q + m = 0, p*q + m + 0*m + 10 = t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*t**3 + 22304*j**3 - j**2*t**2 - 56*j**2*t - 10*t**3 + 9 wrt j?\nAnswer: -6*t**3 + 133824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -0.2 (c) 9 (d) 33\/4 (e) -2 (f) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387198 is divided by 176?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n. Let o(l) = l. Let j(h) be the second derivative of -h**3\/6 - 9*h**2 - h. Let a be j(-13). What is a*o(s) + r(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 + 6*n + 2. Let r = -53 - -60. Let s(c) = -5 + 5*c - 10*c - 14*c - 10*c**2. Let l(g) = r*k(g) + 2*s(g). Solve l(b) = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 17.0758?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120*(-48)\/(-4800)*(-70)\/3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6583469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*-5*2*sqrt(2106))\/((sqrt(162) + sqrt(162)*-1*-3 - sqrt(162) - sqrt(162))*6).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13814, -27992, -42134, -56222, -70238?\n\"Answer: 3*l**3 - 14199*l + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 - 7*y + 11 + (-3 - 2*y + 3)*(-2 - 1 + 2 + (1 + 0 - 3)*(2 - 3 + 2) + 1 + 0 + 1).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4*i + i - 2*i)*(6*i + 5*i - 9*i)*(-1 + i + 1) to the form a + h*i + w*i**3 + x*i**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45535300.\nAnswer: 2, 5, 455353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-10 + -9 + -2 - 16)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*g**4 - 2022*g**3 + 2*g**2 - 19*g + 19839510 wrt g?\nAnswer: 56*g**3 - 6066*g**2 + 4*g - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v - 46*v - 463 - 5500 = 21*v for v.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -p - 0*k + 16, 3*p + 5*k = 32. Suppose 3*v = 9, p*v + 0*v = 4*d - 36. Calculate the remainder when 45 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(128) + sqrt(128) + (sqrt(128) + -2 + sqrt(128))**2*5) - (3 + (sqrt(128) - (0 + (2 + sqrt(128) - sqrt(128)))**2)).\nAnswer: -1224*sqrt(2) + 10321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, f: 4, a: 8}. Give prob of picking 3 i and 1 a.\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**2. Let d(o) be the third derivative of 709*o**5\/60 - 23*o**2 - 3*o - 6. Give m(d(x)).\nAnswer: -2513405*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303688?\nAnswer: 2, 7, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + 102. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 (base 13) in base 9?\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2172 + 8691\/4. Is 584\/5 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/((770\/50)\/11)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -29*i**6\/15 - 64*i**3\/3 - 20*i. Find the second derivative of q(x) wrt x.\nAnswer: -696*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -14 - (0 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 5, d: 2, u: 1, x: 8}. What is prob of picking 1 q and 1 x?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-3)*4\/10. Let r(q) = -q + 3. Let n be r(3). Suppose n = j*w + 13 + 7. Let g(s) = 3*s + 5. Let d(p) = -p - 1. Determine w*d(h) - g(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-2)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -19. Let v(n) = -4*n + 1. Let x be v(-1). Let z(o) = -o + 1. Let b be z(x). Sort i, 3, b in increasing order.\nAnswer: b, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77177363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03 and -90685044.\nAnswer: -90685044.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 781 + -780.999. Round u to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**4 + 20*h**2 - 16 = 0 for h.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(1\/7)))**(-7)*r**(-8)\/(r**(-2\/11)*r))**(-22\/7))**7 assuming r is positive.\nAnswer: r**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/5 (b) -1533.8 (c) 3 (d) -1 (e) 5 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*-2*4\/16. Suppose 2 = 3*b - q + 2*q, -10 = 5*b - 5*q. Sort -0.1, b, o in decreasing order.\nAnswer: b, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 3*g - 2. Let d be m(-4). Suppose -d*v - 20 = -7*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**6\/240 - d**4\/4 - d**2. Let o(u) be the second derivative of w(u). Let j(n) = 2*n. Determine o(j(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-3))\/(2\/24). Sort m, -4, 2 in descending order.\nAnswer: 2, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6435 and 12930?\nAnswer: 5546970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*j = 56*j - 6 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0049786 rounded to 4 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**2 + 3*p + 2. Let r(h) be the third derivative of 1\/6*h**3 - 28*h**2 + 1\/12*h**4 + 0 + 0*h - 1\/20*h**5. Determine 3*k(n) - 5*r(n).\nAnswer: -3*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 982348558 to the power of 1\/3, to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 20\/3*d**4 + 1\/3*d**5 - 88\/3*d - 17*d**3 - 158\/3*d**2 + 0 = 0. Calculate d.\nAnswer: -22, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*f + 23*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26852072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Suppose 2 = -2*l - x + 1, q = 3*l - 5*x + 21. Let b be 3 + (l - -1) + 3. Let o(z) = -z**3 + 4*z**2 + 5*z - 6. Determine o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*2\/(-12))\/2. Let w = -2 - 0. Sort x, -1\/3, w in decreasing order.\nAnswer: x, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, z: 5}. Give prob of picking 3 b and 1 z.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 73. Let l be v(-15). Let i = l - -283. What are the prime factors of i?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/5)\/((s**(-2\/7)\/s)\/s))**(-47)\/((s\/(s**4*s)*s\/(s**(-4\/3)\/s)*s)\/((s**(-2\/11)\/s)\/s**(-6))) assuming s is positive.\nAnswer: s**(-75472\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q - 2. Let t(d) = -9*d - 5. Let y(s) = -2*t(s) + 5*w(s). Let p(a) = -5*a - 5. Let m(f) = -6*f - 4. Let v(h) = 5*m(h) - 4*p(h). What is y(v(g))?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -115, 19934 in increasing order.\nAnswer: -115, 0.1, 19934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-30 - (-75 + 49)) + 15 + -1 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/4)\/(6\/24). Let o = x - 7. Let d = 160 + -159. Which is the nearest to d? (a) -1\/2 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477*q - 1001235219 = 247522638. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*k - 16 = 81*k, 0 = 5*x - 4*k - 1699. Calculate the remainder when 1067 is divided by x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600964429 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + o. Let h be -3*((-4)\/12 + (-12)\/(-18)). Let z(r) = 8*r**2 - 6*r - 6. What is h*z(y) - 4*b(y)?\nAnswer: -4*y**2 + 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1218\/(-261)*6\/126*-6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(sqrt(833) + 0 + sqrt(833)) + ((sqrt(833) - (sqrt(833) - (0 + sqrt(833))))*-3 - sqrt(833))**2 + 3.\nAnswer: -28*sqrt(17) + 13336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 53659665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(567)*-2 + sqrt(14)\/sqrt(200).\nAnswer: -179*sqrt(7)\/10 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 480960 - -0.2\nAnswer: 480960.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144330 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514951?\nAnswer: 419, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkx when three letters picked without replacement from {g: 5, x: 2, a: 7, k: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 1549453805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -62, -184, -408, -764?\nAnswer: -1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:41 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2319430405?\nAnswer: 5, 463886081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(6\/11))\/(d\/(d*(d**(3\/2)*d)\/d*d)))\/(((d**(-8)\/d)\/d)\/d**(-2\/19)) assuming d is positive.\nAnswer: d**(5827\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 3)*(-4*r - 73*r + 20*r) - 8*r - 2*r - r to h + i*r and give i.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 7692966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4030050 and 15582860?\nAnswer: 233742900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 12*o**2 - 6*o**2 + 247 - 5*o**2 - 53*o wrt o?\nAnswer: 2*o - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2429.\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3343064\nAnswer: 1\/3343064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 117005.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2 - 3*a + 24. Let z be q(5). Suppose 185*x - 21 = z*x. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315)\/sqrt(7))\/sqrt(9) + -1)*-2)**2 - (-6*sqrt(60)\/sqrt(300) + -5)**2.\nAnswer: -20*sqrt(5) - 41\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -45*z + 148 - 32 - 76*z**2 + 7. Differentiate k(x) with respect to x.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30014 + -16992. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -49*k - 48*k + 1302 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 6:42 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 203?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 13*y + 0*y**4 - 4\/15*y**6 + 29\/2*y**2 + 0 + 0*y**3 - 1\/20*y**5. Find the first derivative of n(w) wrt w.\nAnswer: -32*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 77, 181, 293, 413, 541?\n\"Answer: 4*w**2 + 92*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 + 4)*10*1\/(-132) and -107\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*n - 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 14 = -6*s - 2*u, 0 = -4*s - 3*u + 19. Let m = 15 + s. What is w in m*w**5 + 4*w**2 + 27*w**4 - 31*w**4 - 18*w**3 + 2*w**3 = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/12 + 84*m + 122. Let l(g) be the first derivative of w(g). Let y(s) = 3*s**2 - 6*s. Calculate y(l(v)).\nAnswer: 3*v**4 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t + 3*o - 17 = 17*t, -6*o + 22 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**3\/3 + 6*y - 3. What is the derivative of w(c) wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -5, 234, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 785 divide 4470575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5289134*g**4 - 261*g**2 - 3515*g?\nAnswer: -126939216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -233 + 229. Let q = 7 + -29\/4. What is the nearest to -1\/3 in f, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:52 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 15*a**2 + 18*a + 13. Let y be v(14). Let u = -30 + y. Calculate the remainder when u is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.026 + 25.974. Let m = 25 - s. What is the closest to m in -3\/2, -3, 1\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0201196 and 0.9.\nAnswer: 0.8798804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1208876*v**3 - 281717*v**3 + 569546*v**3 + 18049*v**3.\nAnswer: 1514754*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -2.6676500159.\nAnswer: -1.6676500159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 33*k - 132. Let d be q(-9). Suppose 7*w = 5*w + 4. Solve -3*j = -2*f - j + w, 2*j = f + d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 107506861?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -636 - ((-2 - 2) + 6). Suppose -2*s = -2*v - d, 3*s - 323 = 2*s - 2*v. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244440897.9049 + 0.7.\nAnswer: 244440898.6049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 12 = 56*w - 52*w, 0 = -4*v - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*c + 3295, -2*c + 1975 = 3*s + 2*c. Let f = 1309 - s. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806312874 to the power of 1\/3, to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 116*g**2 + 11*g + 231. What are the prime factors of u(-12)?\nAnswer: 3, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(-1)*(-9)\/(-27). Let a = f + 9. Solve a*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 6 = 102*g - 102*g + 4*r, -2*r = -2*g - 20 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 15*m**2 - 11*m + 11. Let h(s) = 4*s**2 - 3*s + 3. Let v(z) = -6*g(z) + 22*h(z). Let y(a) = -21*a. Calculate v(y(f)).\nAnswer: -882*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*k, 87*k = 88*k - 3*l - 10. Which is the fifth smallest value? (a) 40\/11 (b) -2\/15 (c) k (d) -1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.182 + 1.77. Let d = t - 0.46. What is d rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - d)*(-2*d**4 - 3*d**3 + 3*d**3) + (-3*d**3 + 39 - 39)*(-3*d**2 - 3*d**2 + 4*d**2).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.97157 + -0.02843. Which is the closest to i? (a) 102 (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 9 = -3*j + 7*j, -x = j + 4. Let i be (-4 + 8\/(-6)*-3)*1. Suppose 12*p + i = 12. Calculate the highest common factor of p and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/11607 and 28\/15405.\nAnswer: 59601945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30047983499081 + -0.1.\nAnswer: -30047983499081.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79 + -82 + 3 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkuu when four letters picked without replacement from {h: 5, u: 4, k: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0633 times -0.4?\nAnswer: -0.02532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 285\/10*(-4)\/(-3)*(-349)\/(-698)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -673 + -0.1.\nAnswer: -673.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -5 (b) 11 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, 24, -4.8, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 2 - 10*m to the form g + d*m and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3613 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = h - 0*p - 1, 0 = -h - 2*p + 6. Let l(g) be the second derivative of -g + 0*g**3 + 1\/6*g**h - 1\/2*g**2 + 0. Differentiate l(f) with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + 2 - 4*z + z - 5*z. Let t(p) = 2*p - 1. Let b(u) = 3*q(u) + 7*t(u). Suppose 0 = -r - 2*r. Determine b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from {g: 4, n: 4, m: 2, j: 1, l: 4, s: 4}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(45\/5826))\/(-856). Let v = 1\/1336 - -2351\/428856. Let a = x + v. What is the third biggest value in a, 1, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-1))\/n)**(-3\/17))**2 assuming n is positive.\nAnswer: n**(-6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/(-6)*((2 - 0) + 92)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -102925 and -35.\nAnswer: -102960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 8004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1289 (b) -0.2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01740737386 - 2?\nAnswer: -2.01740737386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - i - 36, -2*b - 33*i + 24 = -36*i for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-3 + (-5 - -1) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3)*60366\/16. Let g = 1262 + v. Find the common denominator of g and (8\/4)\/((-4)\/7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 3\/2, -0.06, -1\/6, 4, -3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 12, 2, -91, 4 in decreasing order.\nAnswer: 12, 4, 2, 1\/6, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-two fifths of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*h**5 + a**2*h - 3*a*h + 52*h**4 wrt h.\nAnswer: -40*a**2*h**3 + 624*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100001100001101101001 (base 2) to base 12\nAnswer: 44b921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 250 - 259. Is 20\/(-25) + u\/(-5) + 2266 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -48, -20 in descending order.\nAnswer: -12, -20, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 - -8. Suppose 4*i + k = 3*y, -y + 5*i = y - 65. What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {a: 12, l: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222202 - -12020122?\nAnswer: 21020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1615 plus 51225536?\nAnswer: 51227151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -18. Calculate the remainder when 3 + -3 + 3 + 4 + 0 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-2)\/2 - -3. Suppose -x = -f + 10. Let g be (1\/2)\/(2\/f). Solve s + g = 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1745353687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3948 - -3948.5. What is the second biggest value in t, -9, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10867 by 1.\nAnswer: 10867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*m - 210 = 0, 3*m + 220 = 5*j + 4*m. Suppose -12 = -c + j. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 195*j**2 + 840*j - 860.\nAnswer: -5*(j - 2)**2*(j + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {w: 2, x: 6, k: 1, d: 2, m: 2, i: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 62 - -69 - -17\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2000\/(-56))\/(-10) + -4. Let f = -3.29 + 0.29. Let k = f + 3.4. Which is the third smallest value? (a) g (b) k (c) -1\/2 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d**3 + 2*d**3 + 0*d**3)*(2*d + 2*d - 2*d) + (-11*d - 24 + 24)*(d**3 + 0 + 0) in the form x*d**4 + n*d + l*d**2 + z*d**3 + a and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*m**5 - 15*m**4 + 265*m**3 - 135*m**2 - 675*m - 270 = 0. Calculate m.\nAnswer: -6, -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 1, f: 3, d: 1, n: 1}. Give prob of picking 2 f and 1 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 3 = -5*j. Suppose -2*v**5 - 12*v**4 + 5*v**j + 6 + 6*v**2 + 71*v**3 - 15*v - 59*v**3 = 0. Calculate v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1634 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 206*c + 18*c + 840*c + 559*c in the form b + a*c and give a.\nAnswer: 1623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*u - 3*u + 12, u - 4*c = 30. Calculate the least common multiple of 51 and u.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135634324 and 582.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-7 - -5 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16040311 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2215056170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(6*sqrt(396)).\nAnswer: sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -5*b - 20. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 16*r**2 - 26*r + 18. Is q(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 + 12*u - 11. Let r be l(-5). Let v(z) = 18*z**3 - 7*z**2 + 7*z. Let t(d) = 9*d**3 - 4*d**2 + 4*d. Calculate r*v(o) - 7*t(o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -45 + 11 - 3*d + 25 - d**2 - 4*d. Determine p(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2717, 5514, 8431, 11528, 14865, 18502, 22499, 26916?\n\"Answer: 10*u**3 + 2727*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-1) + (3 - (-3 - -7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/3 + 84638*a**3\/3.\nAnswer: 2*a**3*(a + 42319)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2635.\nAnswer: -2\/2635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12042 - -12041.8. What is the closest to b in -5, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 29. Suppose 0 = -v*h - 2*h. Suppose t + 4*t + 2*d = 43, h = 2*d - 8. Solve -4*g - 2 = -6*x + 3*x, -3*g + 5*x = t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:59 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37808 - 3327145\/88. Find the common denominator of b and -57\/968.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooffaofafffooffofff. What is prob of picking 2 o?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 7. Let h be v(5). Suppose 4*m - 7*u = -h*u - 14, m + 5*u + 16 = 0. Let j = 19 + m. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - (-581)\/21 - (-3)\/(-6). Let r = d - 799\/42. Which is the third biggest value? (a) -0.1 (b) 132 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 9*b + 2. Let n be c(9). Let j(s) = s**2 - 3*s + 2. Give j(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7694 - -1902. Which is bigger: -5793 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.3 - -0.7. Let o = 8 - z. What is the second smallest value in 5, -1\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/4)\/h))**(-34) assuming h is positive.\nAnswer: h**(-119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*m - 218*m + 526*m + 73160 = -561*m for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -31. Which is bigger: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116975482 and 6461?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2996, 16331, 38550, 69647, 109616, 158451?\nAnswer: 216146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**5\/4 - 5*w**4\/6 - 5*w**3\/6 + 5*w**2 - 9*w. Factor q(d).\nAnswer: 5*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944095 divided by 3?\nAnswer: 1944095\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:41 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*b**5\/5 - 6*b**4 + 12*b**3\/5 + 24*b**2\/5.\nAnswer: 3*b**2*(b - 2)**2*(3*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -43.92. Sort -2\/5, -4\/3, r.\nAnswer: -4\/3, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1706)\/3)\/((-28)\/(-126)). Is (-7*3*q\/9)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -64*f**2. Determine s(1).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -33.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/7, -3, 4\/19, -9 in decreasing order.\nAnswer: 1, 4\/19, 1\/7, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.999997 - 53. Round m to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 399699 divided by 133233\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 13*g**2 - 3*g. Let x be n(3). Suppose u - 157 = -2*u + 2*t, -2*t - x = -2*u. Suppose 3*b + u = 5*q + 4*b, -q + 13 = -3*b. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/77?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3055568 is divided by 338.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 66, 118, 186, 276, 394, 546, 738?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -299772 divided by -2?\nAnswer: 149886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 + ((-1410)\/(-110) - 5). Let v(s) = s**2 + 8*s - 3. Let d be v(-7). Which is greater: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**5 + s**5 - 4*s**5 + (s**2 - 2*s**4 - s**2)*(s + 0 + 0) - s**5 + 2*s**5 - 3*s**5 + 8*s**5 + 8*s**5 + 6*s**5 + 5*s**5 - 4*s**5 + 3*s**5.\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + -5 + 5*((sqrt(153) - (-2*sqrt(153) - sqrt(153)))\/sqrt(9) + (sqrt(51)\/sqrt(3) + -4)**2) + -1.\nAnswer: -20*sqrt(17) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 28*o**3 - 12*o**2 + 98*o + 15. List the prime factors of b(7).\nAnswer: 3, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/31943?\nAnswer: 1\/31943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24421 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/5))\/n**(-3\/4)*(n*n\/(n\/(n**0\/n))*n)**(-1\/3) assuming n is positive.\nAnswer: n**(61\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49160 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8b (base 15) to base 4.\nAnswer: -220232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 + 1.315?\nAnswer: 2.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4 = 3*w + 4*i, -3*i = 3*w + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -6 (b) 3646.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931562 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5353, -5353, -5355, -5359?\n\"Answer: -p**2 + 3*p - 5355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 346309991*f**3 - 146*f**2 + 13*f + 4766?\nAnswer: 2077859946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6 + (-15)\/2)*(-11)\/22\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 4 + (sqrt(48)*5 - sqrt(3)))**2.\nAnswer: 168*sqrt(3) + 1339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -c - 2*s, 3*c - s + 4*s + 18 = 0. Let f(l) = -3*l**3 - 1. Let j be f(c). Find the third derivative of 5*g - g - g**5 - 4*g - g**j wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 8:33 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1344*h + 8150. Determine j(6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**2. Let i = 52 - 45. Let j(b) = -11*b**2 + i + 7 - 14. Calculate l(j(s)).\nAnswer: 605*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 25 + 16*b**2 + 26 - 51*b**2 + 21*b**2 + 9*b**2.\nAnswer: -5*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0 - 1\/60*f**6 - 87\/2*f**3 - 316*f**2 + 0*f**4 + 0*f**5 + 0*f + 27\/35*f**7. What is the first derivative of d(i) wrt i?\nAnswer: 648*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -0.3, 0.3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 24 = 5*l, 4*a - a + 9 = 0. Let z(u) = 3*u. Determine z(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 6, -10, 134, 4, 0, 5 in increasing order.\nAnswer: -30, -10, 0, 4, 5, 6, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00644993097 rounded to four dps?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:09 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 3*g - 3. Let y(f) = f + 1. Let p(j) = -d(j) - 3*y(j). Suppose 15*v - 832 = 7*v. Let z(i) = -v*i + 201*i - 73*i. Calculate p(z(h)).\nAnswer: 576*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t + 6 + 0*t - 4*t + 3. Let d be w(9). Let s(l) = 4*l - l + d*l. Let p(q) = -2*q**2. Calculate p(s(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 1\/4, 5, 376, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 900 + -890. Calculate the greatest common divisor of 1835 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 311 - -2?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32\/8 + -1 + 581 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from {e: 1, x: 1, j: 2, i: 1, g: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15561?\nAnswer: 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1709 - -1681.28. Let a = t - -1368.72. Let g = 1340.999999373 - a. Round g to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(171) + sqrt(171))*-2 + (-3*(sqrt(171)*2 - sqrt(171)) - sqrt(171)))\/((-2*sqrt(90) - sqrt(90))\/sqrt(10) + sqrt(1089)*-2))**2.\nAnswer: 76\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, -802, -71 in descending order.\nAnswer: 1, -11, -71, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81179*p**2 - 44265*p?\nAnswer: 162358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14863601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -38133810 divided by -130\nAnswer: 293337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 + -4.18. Let c = -30.8 + m. Let w = -41 - c. Is -0.1 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209 + 213. Solve h*m + 0 = -8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a - 364. Let g(f) = -22*f + 2. Determine s(g(p)).\nAnswer: 132*p - 376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30603841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 189*u - 1100. Let m(v) = -4*v**2 + 408*v + 2197. Give 6*m(n) + 13*w(n).\nAnswer: 2*n**2 - 9*n - 1118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**4\/5 - 16*m**3\/5 - 6*m**2\/5 = 0. Calculate m.\nAnswer: -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 9*u - 11)*(-2*u - 2*u + 2*u) + (-4*u + u + u)*(0*u + 4*u - 3*u) to the form m + a*u + k*u**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*c**3*g**3*s + c**3*g**3 + c**3*s**3 - 4*c**2*g**2*s**3 - 3*c*g**3*s**3 + g**2*s**3 wrt c?\nAnswer: -372*g**3*s + 6*g**3 + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3 - 2*i)*(-25 + 51 - 57)*(-2 + 0 + 1)*(1 - 3 - 1).\nAnswer: 186*i + 93","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62039, 124078, 186117, 248156, 310195?\nAnswer: 372234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/120699 and -119\/6.\nAnswer: 241398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9891, -9882, -9875, -9870, -9867?\n\"Answer: -g**2 + 12*g - 9902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18921*w**3 + 9414*w**3 + 9508*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6) - 5\/15.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 77*i - 21. Let g(r) = 118*r - 32. Determine 5*g(w) - 8*y(w).\nAnswer: -26*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 14*i**2 + 784*i + 37. Calculate the least common multiple of m(-56) and 427.\nAnswer: 15799","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.62711173 to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131440 (base 5) to base 8.\nAnswer: 12175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 591*m**3 - 5166*m**3 - 3676*m**3.\nAnswer: -8251*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 1) + -155 + 170.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 8.\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 132*w**3 + 28. Let a(j) = 24*j**3 + 5. Calculate -28*a(y) + 5*i(y).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433415911?\nAnswer: 7879, 55009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 2*l**2 + 471*l - 471*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5276693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -320013?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(4)\/sqrt(2)))\/(-3*sqrt(1452)) + -5)**2.\nAnswer: 10*sqrt(5)\/33 + 27230\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/33? (a) 7\/3 (b) -2 (c) 0.8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 419052 and 34028?\nAnswer: 75848412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 69988867 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f**2*s + 10977*f**2 + f + 16*s**2 + 19*s + 2 wrt s.\nAnswer: 6*f**2 + 32*s + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*m - 5*o + 23, -4*m + 3*o + 6 = 0. Suppose -m*n - 4*r = -0*r - 53, n = -3*r + 26. Which is bigger: n or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00190123678 to 6 decimal places.\nAnswer: -0.001901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 9*g - 20. Suppose p - 9 = 4*l + 8, 5*l + 2*p + 31 = 0. Let x be z(l). Solve -n - n = x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/3, -0.13, -1, -455?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**3 - 134*x + 0*x**3 + 87*x + 50*x.\nAnswer: 7*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 2*x**2 - 2*x + 26. Let f(o) = 12*o - 6. Calculate 5*f(t) - 16*u(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 228*-0.3\nAnswer: -68.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22202223320 (base 4) to base 12.\nAnswer: -b13308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*b**5 + 4508*b**4 - 383232*b**3 - 1826352*b**2 + 7031360*b - 3763200 = 0. Calculate b.\nAnswer: -7, 2\/3, 2, 140, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*1.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 68 = 4*c, -5*f - 71 = 4*c - 2*f. Let s = -7 - 4. Let g = s - c. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 + 6*q**2 - 5*q**2 + (1 + 3*q - 4 - 4*q)*(1 - 4*q - 1) to the form s + z*q + f*q**2 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1830 + -1648. What is the greatest common divisor of 238 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 48 = -5*u, 12 + 0 = -4*b. Let n(g) = g**2 + 9*g - 6. Determine n(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 8694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 11750?\nAnswer: -11749.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 2. Let t(k) = -2*k**2 - 9*k - 17. Let i(g) = 10*g + 12. Let z be i(-3). Let b(q) = z*r(q) - 2*t(q). Determine b(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1556 = -3*j + 7*j - 2*w, 2*w + 8 = 0. What is the remainder when j is divided by 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = 3*i. Suppose c - 4*t = -9, i*c + 3 = 5*t + 11. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004531056 rounded to 6 dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/20 + f**4\/12 - f**3\/6 + 2*f**2 + 2*f. Let j be d(0). Let z(v) = -32*v**2 + 6 + 33*v**2 - 2*v - j*v. Calculate z(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgcvvcvjcyy. Give prob of sequence bvvy.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Let c(p) = p + 4. Let f be c(0). Let l be (2\/4*f)\/2. Which is bigger: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214*q*w**3 + 70*q*w**2 - 6*w wrt w?\nAnswer: 1284*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-424)\/530*(-1)\/(-4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 11*b**5\/420 - 206*b**4\/21 - 50*b**3\/7 + 5*b**2 + 69*b. Suppose t(j) = 0. Calculate j.\nAnswer: -2\/11, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 16*q - 7. Calculate t(7).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-1\/4)))**(-31\/3)*(o**(-2))**23)**48 assuming o is positive.\nAnswer: o**(-2332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -33123 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00905 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133925 + 21439 - 248768 = -6*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 20. Let l(g) = 7. Let r(w) = 8*l(w) - 3*v(w). Suppose -f = -2*f + 12. What is the lowest common multiple of f and r(-8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/3584 and 7\/182272.\nAnswer: 1275904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2492 plus 0.3?\nAnswer: -2491.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13596537 to the nearest integer?\nAnswer: 3687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*z = 26, 0*b + 4*z - 18 = -b. Let g(d) = -1000001*d**2 + d + 2. Let t be g(b). Round t to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = -4*x, -4*q = 4*x - 2 + 6. Suppose q = -z + 4*z - 9. Suppose 2*u = z*u - 7. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-4)\/(-6)*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-2))\/(-6)*46. Let v = a - 21. Suppose 18 + 26 = v*i. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-6) + (-5)\/(-10)*-6. Let n = -1.97 - -2. Let b = 2.97 + n. What is the nearest to s in b, 2\/9, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*h**4 + 13*h**4 - 7*h**4)*(-2 + 3 + 0) + 2*h**4 + h**2 - h**2.\nAnswer: 26*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15444 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*h**2 - 29*h**2 + 17*h**2.\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-22) - 1425\/(-33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 0 + 0)*(-4*r**2 - r**2 + 4*r**2) + (-4*r**2 + 2*r**2 + 4*r**2)*(-4*r**2 + 3*r**2 + 2*r**2) + 0*r - r**4 + 0*r.\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 6 = o, -4 = -o - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*m + 531*m**6 - 52*m**2 + 157*m**6 - 31*m - 26*m wrt m?\nAnswer: 82560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1225890*x**4 + 112*x**3 + 330410852*x**2 wrt x?\nAnswer: 29421360*x + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 7*w + 11. Let y be (-6)\/7*(-21)\/(-33). Is y < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 74*j**3 + 96*j**2 + 2*j + 3. Determine y(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*o**2 + o**2 - 69*o**2 + (3*o - 2*o - 2*o)*(-3*o + 6*o - 2*o) + (3*o - 2*o + 0*o)*(o - 2*o + 3*o).\nAnswer: 34*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41\/41)\/(((-3)\/12)\/(-3*2)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -849735 divided by 2\nAnswer: -849735\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (9 + -10 + (-2 - -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2527399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*z**3 + 14*z**2 + 14*z**2 + 15*z**3 - 5 - 30*z**2 to n*z**2 + l + v*z + o*z**3 and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 614657161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303067865 to the power of 1\/2, to the nearest integer?\nAnswer: 47990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*f - 1065 = 3*j - 186, 60*f = -5*j + 65*f - 65 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 206 = 2*g, -2*g = -76*j + 75*j + 118. Calculate the lowest common multiple of j and 156.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:49 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:28 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 20*r**2 - 6*r - 7. Let y(v) = v**3 + 21*v**2 - 7*v - 8. Calculate 6*a(d) - 5*y(d).\nAnswer: d**3 + 15*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -10*(-5 + (-171)\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 13*v**5\/70 + 167*v**4\/42 - 416*v**3\/21 + 60*v**2\/7 - 2176*v. Suppose m(k) = 0. Calculate k.\nAnswer: -15, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5883 + 2.3?\nAnswer: 2.8883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k. Let j(m) = 35*m - 1. Let l(o) = -69*o + 108. Let a(d) = 4*j(d) + 2*l(d). Give n(a(s)).\nAnswer: -4*s - 424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f = -9*f - 6028. Let j = f - 248. What is the remainder when 206 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1077*o + 4282. Determine h(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 0.4 (c) -1439 (d) 3.7 (e) 2.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 at most -0.43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2283*u**6 + 147*u**2 + u + 2.\nAnswer: -273960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 5, 9, 0.18 in ascending order.\nAnswer: 0.18, 1\/4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 + 318*o + 503. Let y be i(65). Suppose 3*s = 6*s - 468. What is the greatest common divisor of y and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, -1\/6, -2.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0291443ug in milligrams?\nAnswer: 0.0000291443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 272 + -189. Let u = z + -69. Suppose u*b + 380 = 1612. Is 44 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1346001048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from aaauuaaaaaaaauaaaa?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.875 + -2.875. Suppose -3*d + 3 = 5*l, -2*d + 0*l - 17 = -3*l. What is the biggest value in z, -12, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -2. Let j be g*(-3)\/(-4) - 8. Let r(m) = 2*m + 7. Determine r(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -12*o**2. Let g(r) = -2322*r - 4816. What is g(d(m))?\nAnswer: 27864*m**2 - 4816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3294 + 0 - (-28)\/(-49)*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 56. Which is the nearest to l? (a) -4\/7 (b) 1\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 1\/3*m**3 + 0*m**4 + 0*m**2 - 1\/180*m**6 + 0*m - 3 + 1\/120*m**5. Let p(j) be the third derivative of q(j). Give p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309169 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*n + 58 = 7*q, -161*q - 5*n = -165*q + 42 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**7\/105 + 13*y**6\/10 - y**5\/10 - 59*y**4\/3 - 52*y**3 + 3*y**2 + 4*y + 32. Determine a, given that o(a) = 0.\nAnswer: -78, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**3 + 2*a**3 + 0*a**3 + (-5*a**2 + 4*a**2 + 5*a**2)*(0*a - 3*a + a) + 0*a**3 - 2*a**3 + 3*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**7\/5040 - i**6\/720 + i**5\/30 + 5*i**2. Let t(y) be the third derivative of h(y). What is t(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 530*r - 128987. What is b(246)?\nAnswer: 1393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a - 30. Suppose -l - 2*y + a = -4, l - 2*y - 14 = 0. Suppose 0 = -4*z - 0 + l. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1021, 2041, 3059, 4075, 5089, 6101, 7111?\n\"Answer: -x**2 + 1023*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -16*u**2 + 749*u - 5908. Give w(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49293095 to the power of 1\/2, to the nearest integer?\nAnswer: 7021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -8. Suppose 5*r = 11 - w. What is the second derivative of -9*j**r + 3*j**5 - 4*j**5 + 9*j**2 - j wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4 = m, 5*z + 4*m = 12 - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1271 - 1270.98088. Round c to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = 0, 0 = -5*i + s - 9 + 1. Let o(r) = 6144*r**2 - r - 2. Is o(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (-134 + 141).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.15293 + 3.8728702. Let a = c + -2.72. Round a to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*q - 4*m, -3*q + m - 1 = 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9581, 9563, 9527, 9467, 9377, 9251, 9083?\nAnswer: 8867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -171287 (base 9) in base 3?\nAnswer: -12101022221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5 = 5*f, -5*f + 16 = -4*m + 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*t + 164 = 0, h + 2*t - 5*t - 82 = 0. Differentiate -h*u - 19*u - 43*u + 151 with respect to u.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168013177 less than 15?\nAnswer: -168013162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/15*1620\/(-972)*2\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 8, m: 4, s: 1, a: 1}. Give prob of picking 1 a and 1 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61816 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 54 - 2. Let i = s + -18. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0908554 minus 16.8?\nAnswer: -16.8908554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3 + 15*c*g**3 - 3*g**3 + 18*g wrt c?\nAnswer: 6*c**2 + 15*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 32 + 67580*s**2 - 67577*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2626 or -118144\/45?\nAnswer: -118144\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -101841 (b) 1\/2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20811 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 - 3.3. Which is the nearest to 2? (a) u (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4204 + -6042. Let q be 4\/(-8) - p*(-1)\/(-4). Suppose 0 = 2*d - 5*d - u + q, -4*u + 164 = d. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**5\/15 - 9*w**4\/4 - 11*w**3\/3 + 3059*w**2\/6 + 2888*w + 3803. Factor c(y).\nAnswer: (y - 19)**2*(y + 3)*(y + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) 0.4 (c) -1\/4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28 or -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/9)\/s)**(2\/7)\/(s*s\/s**(-1\/3)*s)**34)**29 assuming s is positive.\nAnswer: s**(-207698\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1017 + 1024. Is 198\/31 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 592 + -251. What is the highest common factor of 22 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*h + 6034783 = 6034331 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3 - 503*t**2 - 62151*t - 2222145 = 0.\nAnswer: -339, -95, -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13099, 11349, 9599, 7849, 6099?\nAnswer: 4349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34735*i**2 - 69368*i**2 + 34632*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32117 + -32115. Put 0, 408, f, 4\/5 in decreasing order.\nAnswer: 408, f, 4\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-21 - (-32 - (15 + -16)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 5:15 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7942, 7945, 7948, 7951?\n\"Answer: 3*s + 7939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 503238620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7. Let b(v) = -v**2 - 3*v. Let l be b(n). Suppose -j + l*j = -10. What is the highest common divisor of j and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from plwpnndppddiwdp?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2. Let b(g) = 2*g**2 - 67291. What is b(c(k))?\nAnswer: 2*k**4 - 67291","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 20. Suppose m*y = -6*y + 104. Suppose -u = -5*w - 19, w = -4*u + y*u - 95. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + (8 - 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65334 is divided by 98.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1015 + 534?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 75, 119, 163?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2902*0.5\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10072*w - 9413*w + 7219*w.\nAnswer: -12266*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w + 1. Let p be o(1). Suppose -3*q + p*q + 36 = 0. Let i be (-52)\/q - (-4)\/18. Solve 0 = -3*h - i + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.50101 + -1.5. What is w rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*a - 3*f = 3, -5*a + 48 = -4*f. Determine h, given that 10*h + 5*h - 11*h - 20*h**2 + 4*h**4 + 4*h + a*h**3 - 4*h**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/75008 - -4425927\/6825728. Calculate the common denominator of (-6)\/21 + (-458)\/(-182) and v.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 540*k**2*y**3 + k**2*y - k*y - 348*k - 2*y**3 wrt k.\nAnswer: 1080*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79027\/2 + 39513. Let t = -1.1 + 5.1. Let z = -8 - -13. Which is the closest to m? (a) t (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5065 + 5079 + (-1 - (0 + -23))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 1166. Let u(i) = -i. Give y(u(n)).\nAnswer: n**2 + 1166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 940 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 3*h**2 + h - 3. Let o be q(-3). Let z(n) = 3*n - 9 + 6 + 2*n. Let m(s) = 44*s - 26. Calculate o*m(b) + 52*z(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1283 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**2\/2 - p + 17. Calculate the least common multiple of 6 and l(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*(-2)\/1)\/(-4 - 1). Which is the closest to 7? (a) -5 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 8390*g**2 - 272725*g - 1496250.\nAnswer: 5*(g - 1710)*(g + 7)*(g + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 1440.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3 + 21*i**2 - 2*i - 15 = 0.\nAnswer: -3\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -17. Let t = 4 - 3. Which is the smallest value? (a) m (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234223110 (base 5) to base 11.\nAnswer: -681a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4. Suppose 4*c = -2*d - 30 - 16, -m*c - d = 49. Let x = c - -10. Sort 3, x, 1.\nAnswer: x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**9\/3024 + t**7\/420 - t**5\/120 + 29*t**3\/6 - 25*t**2. Let o(c) be the first derivative of m(c). Let o(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c1fe (base 16) to base 4\nAnswer: 230013332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) + ((-260)\/(-12))\/5. Suppose 0 = x*g - 613 - 212. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 15*f - 4. Let j be l(2). Solve -j = 5*y - w, -3*y + 5*y - 2*w = -12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8985 is divided by 1259?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*g + 347*g - 84*g + g**2 + g**2.\nAnswer: 2*g**2 + 395*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 0.43578?\nAnswer: 0.43578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 5:27 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.107 - 109.\nAnswer: -105.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1311, 2613, 3915?\n\"Answer: 1302*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 527*l + 432. Let b be k(-1). Sort 3, b, -2 in increasing order.\nAnswer: b, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*a + 720, 2*d + 415 = 5*a + 63. Let v = -19 + d. Let c be v - ((-1 - -1) + 0). Round c to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/9 - 10*o**4\/9 - 16*o**3\/9 + 2*o**2\/9 + 17*o\/9 + 8\/9.\nAnswer: -(o - 1)*(o + 1)**3*(o + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72734 and 264326?\nAnswer: 10837366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 - 2 = -2*h, 2*f - 5*h + 5 = 0. Calculate the highest common factor of 55 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/40 - 2*g**3\/3 + 2*g. Let a(m) be the second derivative of j(m). Let w(z) = -2*z**2. What is w(a(t))?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 4, f: 6, w: 1, q: 2, o: 3}. Give prob of picking 1 w and 1 r.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-2)\/(-138)) - -3. What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/2 (b) -0.3 (c) -0.8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2906271974529 less than 6?\nAnswer: -2906271974523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3276302 and 7966.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6094423 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 2)*(1 - 14*p + 4*p + 7*p) - 23*p + 20*p + 58*p + (0 + 5 - 3)*(0*p - p - p) - 2*p + 2 - 2 as n + w*p and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 1\/16*o**4 - 1\/60*o**5 - 1\/12*o**3 + 0*o + 0 - 25*o**2. Suppose k(v) = 0. Calculate v.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i - 6*i = 7*i + 42. Find v, given that -51\/7*v + 12\/7*v**i + 12\/7 = 0.\nAnswer: 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -39, 173\/5?\nAnswer: 173\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 11*n**2 + 12*n - 9. Let x be s(10). Suppose x*w - 70 = -15. Suppose m - w = 64. Does 23 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*w + 87 = -3*k + 5*w, -5*k = -3*w + 47 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -54566.8.\nAnswer: -545668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 6. Let f be 18000\/1*(s + 3). What is f rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*r = -11 - 384, -g + 5*r + 79 = 0. Let y = g + -75. Put y, 3, -48 in increasing order.\nAnswer: -48, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-27)\/15)\/(5\/(-225))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -64, -107, -182, -289, -428?\n\"Answer: -16*i**2 + 5*i - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t + 30154 = 6271. Let s = t - -457. Solve 3*m + 47 - s = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 15 = 11*a. Let q be (3\/5)\/((-5 - -1)\/(-20)). What is the remainder when (-21)\/(-6)*(-3 + 2 + q) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36295 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2.913194 micrograms?\nAnswer: 0.002913194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -20*v - 18*v + 40*v + 38. What are the prime factors of l(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300200 - 121120?\nAnswer: 113020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/6, 45661, 0, -0.1, 1\/8.\nAnswer: -1, -0.1, 0, 1\/8, 1\/6, 45661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 4*d + 3. Let i be f(4). Suppose x - 11 = i. Solve 0*o - y + 2 = -5*o, -2*o - 4*y = x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 5*c - 3*c)*(13 - 29 + 17 + 808*c + 182*c) as k*c + a + u*c**2 and give u.\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160193593 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 28 = -v + 5, 0 = -2*v - 3*g + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 12 = -2*t, -5620046*k + 5620041*k = 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23925.4023 rounded to the nearest one hundred?\nAnswer: 23900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24140, 24139, 24138, 24137, 24136, 24135?\nAnswer: 24134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*u - u + u)*(-2*u + 6*u + 2*u)*(4*u - u - u) as n*u**2 + f + l*u + h*u**3 and give h.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 45 - 153 + 54 - 3080*x.\nAnswer: -3080*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + -5*((sqrt(605) + 2)*-1 + 1 + sqrt(605)*1 + 2))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + -36. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005397 rounded to 4 dps?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*l - 397 = -1093 - 546. Let g = -0.16 + 1.96. Let z = g - 2. Which is the closest to z? (a) 2 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63\/4 - 61\/4. Factor 0 + 1\/2*q**3 - 1\/2*q**4 + c*q**2 - 1\/2*q.\nAnswer: -q*(q - 1)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 29. Let l = h + -13. Let o be -1 + (33\/21 - 1). Is l at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 1 + 0 + 2. Solve -4 = q - o*j + 5, 3*q + j = -7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61642551, 123285102, 184927653?\nAnswer: 246570204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -6. Let x(o) = o**2 + 12*o + 9. Let c(s) = s. Let a be 4\/(-4) - (-1 - 1). Let y(r) = a*x(r) - 4*c(r). Calculate y(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*696\/522.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + (-1 + -6 - -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 696 or 0.211?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 1385.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8529, 8503, 8477, 8451?\nAnswer: 8425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 8:12 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37940*p**3 + 7884*p?\nAnswer: -227640*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 42032574.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -90*a**3 - 1. Suppose -u - 20 = 10. Let l be (6\/4)\/(45\/u). Is j(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -204*m + 28*m**2 - 44*m**2 + 25*m**2 - 516. Let d(q) = -2*q**2 + 41*q + 103. Let s(h) = -24*d(h) - 5*f(h). Factor s(l).\nAnswer: 3*(l + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5523, -11044, -16565, -22086, -27607?\nAnswer: -33128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23201*w + 46760 = 24036*w for w.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*h*k**2 - h*k*o**2 + 41*h*o + 2*h + 6*k**2*o - 7*k**2 - k*o - 4 wrt o.\nAnswer: -2*h*k*o + 41*h + 6*k**2 - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (71 + -128 - -62) + (4 - (-22 - -2 - -1))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(sqrt(121) + sqrt(121)*2))\/(sqrt(176) + sqrt(176)*-4*1).\nAnswer: 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 0 - (-33 - -6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5 - (11 + -5 - 8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 522583 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 421 - 335. Suppose -2*d + b = 84. Solve -4*f + 8*f = -4*n - 16, d = -n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdcdccccccdccc. Give prob of picking 1 d and 1 c.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 12.7762895?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 225 - 224.6. What is the nearest to -2 in -4, f, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*k + 22, 4*q + k - 8 + 51 = 0. Sort 4, q, -4.\nAnswer: q, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19155 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 7777.\nAnswer: 7777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.96 - 11.066. Let k = y + 0.026. Let i = k + 17. Which is the fourth smallest value? (a) 2 (b) i (c) 0.5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 246, 500, 784, 1104, 1466, 1876, 2340?\nAnswer: 2864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2334433311 (base 5) to base 6\nAnswer: -311304531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b - -106b?\nAnswer: 110a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 9:09 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 15*p**2 - 15*p + 23. Let r be y(-16). Suppose -s = 4, -r*k = -8*k + 4*s + 36. What is the remainder when 115 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**10\/840 + f**6\/180 + f**3\/6 - 2*f**2. Let x(a) be the first derivative of p(a). Find the third derivative of x(s) wrt s.\nAnswer: -720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 5, f: 2, j: 7}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 9*z + 9*z + 23 - 3 in the form s*z**2 + a*z + o and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 23*f - 25. Let r(d) = -24*d + 27. Let s(c) = 2*r(c) + 3*u(c). What is the first derivative of s(x) wrt x?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ad9 (base 14) in base 4?\nAnswer: -12203133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let f be 3\/(-6)*q - -1. Let l = 0 + f. Solve 3*r + l*v + 2*v = -7, -2*r - 2*v = 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13031120 - -1?\nAnswer: -13031113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2664094, 2664044, 2663994?\nAnswer: 2663944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-1) + (14875\/34)\/35*8.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3160\/83 and 39 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**3 - 3*c**2\/2 - 5*c. Let f be u(-1). Suppose f*v = 10*v - 154. Does 22 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 253 and 69?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -891547\/12 - -219385\/3. Let h = f - -1174. Calculate the common denominator of h and 87\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4)*x*(x\/(x*x**(-33)))\/x)**(-42) assuming x is positive.\nAnswer: x**(-2751\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/853, 3\/5, -0.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 14. Suppose 0 = -16*u + 40 + 232. Suppose l - 4*c + 27 = 6*l, 2*c = -3*l + u. Which is bigger: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.425 * -22.\nAnswer: -383.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 598.5163 decades?\nAnswer: 5985.163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -1754?\nAnswer: 1755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 52 = 38. Suppose 0 = -13*u - 719 + 1283 + 1308. What is the highest common divisor of u and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**5\/30 - 5*b**4\/8 + 13*b**3\/6 - 3*b**2. Let v(t) = -t**2 + 7*t - 6. Let z(x) = -2*u(x) - 5*v(x). Give z(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 8 + 16 - 12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 3, c: 3, s: 4, b: 2, r: 4}. Give prob of sequence mc.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10499200 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13045659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 2449, -6 in ascending order.\nAnswer: -6, 0, 1, 2449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1611 and -161\/66.\nAnswer: 35442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/2 - 2381*u**2 + 1138800*u = 0. What is u?\nAnswer: -5200, 0, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2. Let l(t) = -3*t**2 + 6*t - 27. Let w(d) = -d**2. Let c(u) = -l(u) + 2*w(u). Let j(x) be the first derivative of c(x). Determine f(j(z)).\nAnswer: -12*z**2 + 72*z - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2752062 + -4?\nAnswer: 2752057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*v + 121*v + 118*v - 362*v.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9 = 25. Let t be -2*3\/12*h. What is the units digit of 6 - 0*t\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g = -6. Calculate the highest common divisor of 9 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by 116.\nAnswer: 25\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5397594971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -280, -283, -286?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -616, -637, -244, 581, 1856, 3599?\nAnswer: 5828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.127940063 to five decimal places.\nAnswer: -0.12794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 235811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1658481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.3 (b) -0.2 (c) 2\/21 (d) -1781827\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 3*d + 6. Let i be x(-4). Suppose u + 9 = -4*l - 5, 3*u - l - 10 = 0. Suppose -i = -u*j - 0*j. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -4309\nAnswer: 8\/4309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 3*c**2 - 5*c + 6. Let w(x) = 3*x**3 - 4*x**2 + 6*x - 7. What is -6*t(p) - 5*w(p)?\nAnswer: -3*p**3 + 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + c - 5 = 0, -3*p + 3*c - 15 = p. Let o = 0.0487 - 46.0487. Which is greater: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 - (-1 - 13))*0\/(-2). Suppose p + 691 - 837 = l. Which is the second biggest value? (a) -2 (b) p (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3 + 3146*q**2 - 68849*q + 378004 = 0.\nAnswer: 11, 3124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -142649, -285288, -427917, -570536?\n\"Answer: 5*n**2 - 142654*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003028 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 2 (c) 0 (d) 34 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -2, -3 in decreasing order.\nAnswer: -2\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 14. Let v(o) = 3. Let s(n) = -3*m(n) - 15*v(n). Let q(p) = 3*p - 7. What is the least common multiple of q(6) and s(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 110 = 4*j - 4*a, 93 = 5*j + 4*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9595*w + 6 - 6.\nAnswer: 9595*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1055*c**5 + 17088*c**4*n**2 + 842515*c**2*n**2 + 25*c**2*n wrt c.\nAnswer: 63300*c**2 + 410112*c*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (640\/(-3520))\/(1\/143).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23*(4 - (-3)\/(-1)). Suppose z*j = 21*j + 2. Which is bigger: j or -1\/16?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 771739 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 5*a + 2. Let q be (4 - 3\/(-3)) + 0. Let m be (-1)\/(-1 - -2)*q. Let y(l) = -l. What is m*y(z) + h(z)?\nAnswer: 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 9. Let a(w) = 3*w**2 - 1. What is a(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -692, -1595, -2920, -4877, -7676, -11527, -16640, -23225?\nAnswer: -31492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.01638 times -32.055\nAnswer: -0.5250609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.87 - 0.13. Let m = 26.00104 + d. Round m to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 72\/5 of a millisecond?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10508119 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9781\/30 - 1626\/5. Which is the fourth smallest value? (a) x (b) 4 (c) 26 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 a when four letters picked without replacement from japcadaccpadccc?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**3 - 13*d**2 - 47*d - 60. Determine r(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(209)*2 - (sqrt(209) + sqrt(209)*-3 - sqrt(209))*5)\/((sqrt(396) - -3*sqrt(396)*-1 - sqrt(396) - sqrt(396) - sqrt(396)) + 4*sqrt(396)*2))**2.\nAnswer: 931\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 2*r**2 + 3*r - 3. Let p be j(2). Let a(k) = 2 + p - 2 - 4. Let b(v) = -v - 8. Give -6*a(o) + b(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 8:05 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -71709, -143437, -215169, -286905?\n\"Answer: -2*b**2 - 71722*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 287 and 656?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/62972 and -137\/9130940?\nAnswer: 9130940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4588501, -9177003, -13765505?\n\"Answer: -4588502*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/5 + 256\/10 is divided by 1\/(-3) - (-14)\/12*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -0.1. Let s = -175.938 + 176.938. Which is the fourth smallest value? (a) 3 (b) 1\/2 (c) o (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 437787641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (-1 - 5 - ((-11 - -2) + -1)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-75)\/(-10)*(-2)\/(-3). Suppose 0 = l*m - 2*m. Suppose 3*q + m = 9. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q + 3. Let k be 25\/4 + 1\/(-4). Let l(i) = 2 + k - 8*i + 2 - 2. Determine -14*f(w) + 5*l(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 290709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 320*l**4 - 5*l**3 + 26*l**2 - 2 wrt l?\nAnswer: 7680*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*g + 186, 7*a - 5*g - 659 - 763 = 0. What is the fourth smallest value in 3, 1\/2, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -21. Let b = 5210 + -5215. Sort 1\/8, a, b in decreasing order.\nAnswer: a, 1\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (39\/(-13))\/(27\/(-2)). Which is the third biggest value? (a) s (b) -2\/7 (c) -3.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-5)\/((-15)\/(-6))). Let b = x - -3. Let w = 309.86 - 311.86. What is the closest to w in 1\/8, b, 0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**3 - 9*v**2 + 5*v + 20. Let r(y) = -y**3 + y**2 + y + 5. Let n(a) = -a**2. Let f(s) = -3*n(s) - r(s). Let l(z) = -9*f(z) - 2*h(z). Give l(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 512 = 48. Calculate the greatest common divisor of s and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 3*i**2\/2 + 64*i + 2. Let j(u) = -2*u**3 + 6*u**2 - 5*u - 5. Let f be j(3). What is the remainder when 8 is divided by v(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/6 - -5)\/((-2)\/(-3)). Suppose m = 3*l - 5*y - 11, 9 = 4*l - 3*y. Factor 4\/7*c + l*c**2 + 2\/7*c**4 - 2\/7 - 4\/7*c**3.\nAnswer: 2*(c - 1)**3*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 10:21 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9624)\/(-64) - 9\/24. Suppose -971 = -x - i. What are the prime factors of x?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44085?\nAnswer: 3, 5, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -360000*v. Let i be l(1). What is i rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/233 (b) -0.5 (c) -56549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvfa when four letters picked without replacement from vvravfvvaavvvvaf.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11524000 divided by -134000?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 170302, 681227, 1532768, 2724925, 4257698, 6131087, 8345092?\n\"Answer: 170308*w**2 + w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -1.7. Which is the biggest value? (a) -0.5 (b) 0.09 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.41 - -0.05. Let g = -0.64 + m. Let u = 0.1 + 0.1. Which is the second biggest value? (a) u (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y = -m + 6, y - 12 = 3*m. Let j be (-66)\/(-90) - 1\/3. Which is the nearest to j? (a) 2\/19 (b) y (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 2 + 7*w**2 + 0*w**2.\nAnswer: 7*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(-3 - 2 + 2)*(2*b - 4*b + b) to u + f*b and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 10.5, -9?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12.69749 millilitres?\nAnswer: 0.01269749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 44 + 28)*(3 - 4 - 1)*((-1 + 1 + 2*z)*(8 + 2*z - 8) + (1 - 1 - 2*z)*(9*z + 4*z - 14*z)) in the form a + v*z**2 + g*z and give v.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 t when three letters picked without replacement from {n: 4, r: 4, t: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r = -374, 0*r - 36 - 35 = 2*i + 3*r - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-6))\/(2\/(-24)). Is p\/(3\/((-15)\/(-2))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*a - 87*a = l + 26, -4*l + 43 = -5*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6300 and 3327452100?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 5*h + 2. Let u be k(5). Let y(l) = 15*l**2 - 4*l + 5. Let g be y(u). Is (5*g - -1) + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4375664.\nAnswer: 2, 17, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11609928 - 1190070. Let m be f\/8 - (-1)\/(-4). Round m to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -127. List the prime factors of f.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*t - 363 = 4881 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**2 + 3 - 6*q + q**3 + 10*q**2 - 6*q**2. Is x(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**5 + 92*h**4 + 524*h**3 + 580*h**2 - 1200*h = 0. What is h?\nAnswer: -15, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -3*g. Let j be (0 + -1)\/((-1)\/(-3)). Let m = 10\/3 + j. Are m and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02316129026 and 0.007.\nAnswer: -0.01616129026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 5*i + 36. Let d be z(9). Solve 4*p - 5*p = d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09325531 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.2 - 13. Let q = r + 1.52. Let k = -1.88 + q. What is k rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - (17 - (-6 - -4 - -2))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from kxklkklkkljkkljkk.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 - 5*w**2 + 12*w**2 - 3.\nAnswer: 7*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**6\/12 + l**5\/10 - 3*l**4\/4 + l**3\/3 + 5*l**2\/4 - 3*l\/2 - 7. Determine m so that x(m) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 1, 24 in decreasing order.\nAnswer: 24, 18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 276207.2104 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*y + 17 = -y, 5*v + 8 = -y. Let t be (-152)\/(-19) - (1 - v). Suppose 2*u - 41 = -3*r, -t*u + u - 5*r = -105. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 13. Let u be w(-4). Let j = -74.045 + 74. Let o = j - 0.155. Which is the biggest value? (a) 1 (b) 2\/9 (c) u (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424.831 rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3727 - -10638. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -27.2.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/335 and 37\/571920.\nAnswer: 38318640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, b: 11}. Give prob of picking 1 b and 3 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -25.5885 and 45 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 18*w + 1428*w**2 - 2894*w**2 + 10 + w**3 + 1449*w**2. Determine x(16).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14502 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 249563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -31. Put d, -1, 0, -7 in decreasing order.\nAnswer: d, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 + h**2 - h**2)*(2 - 4 + 0) + (-1 + 1 - h)*(h + 3*h - h) in the form b*h**2 + i*h + v and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 13*p**2. Let l(b) = 143*b + 119*b + 136*b + 122*b - 483*b. What is l(d(f))?\nAnswer: 481*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*i*p**2 - 27*i*p - 2*i + 7*p**3 + 1628*p**2 - 198 wrt p?\nAnswer: -12*i + 42*p + 3256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -1 (c) -0.5 (d) -2230\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 56*d + 3695. Calculate y(-66).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -7*a**5\/30 - a**4\/114 + 84*a**2. Factor b(o).\nAnswer: -2*o*(133*o + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -239*x + 77*x - 218*x - 6840 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5079183\/15889 - 2\/47667. Let k = 321 + s. Which is the second biggest value? (a) 1 (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**6\/216 - d**5\/180 - 8*d**3\/3 - 13*d. Let m(b) be the second derivative of g(b). Factor m(s).\nAnswer: -s*(5*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.047 + -22.047. Let s = -21.80934579 + -0.19066071. Let f = s - z. What is f rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*-1*(-1)\/(-3)*7. Let p = 14 + -9. Put o, 0.1, p in decreasing order.\nAnswer: p, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d = -w + 29992, 39992 = -4*d + 4*w. Let c = -249862\/25 - d. Calculate the common denominator of c and -13\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446 - 43123?\nAnswer: -41677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 15*h + 2. Let t be k(14). Let c be -1*2*(2 - 1). List the prime factors of (15\/t - c)*8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2057*c*o**2 - 3*c*o - 63*c + 356*o**2 - 2*o - 670 wrt o.\nAnswer: -4114*c + 712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(135) + sqrt(120)\/sqrt(2))\/(-4*sqrt(3)*2*2))**2.\nAnswer: 5\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 1.04?\nAnswer: 1.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6072*p + 6872.\nAnswer: -6072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83385.\nAnswer: 3, 5, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - 1) + (7 - 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2. Suppose -v + 6 = 3*i, -4*v + 2*i - 6*i = -24. Let g(b) = -v*b**2 + 0*b**2 + 3*b**2. Calculate y(g(a)).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in -3\/22, -3, 0.1, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*8\/(-16)*-1642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 + 149. Suppose 5*n = -c + 40, -4*c - 2*n + 15 = -d. Suppose 6 = v + 2. Calculate the highest common factor of v and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -9.6, 2\/3, -8?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h. Let i(w) = 229*w - 5. Let k(z) = 30800*z - 672. Let g(l) = 672*i(l) - 5*k(l). Calculate j(g(r)).\nAnswer: 224*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -9396765497225.\nAnswer: -9396765497224.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -3*b - 43, -137*k + 62 = -4*b - 140*k for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s - 5*u - 37, 9 = s - u. Suppose 3 + 1 = -s*h. Does 9 divide -18*h\/((-2)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209\/4865623 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + 0*s**3 + s**3 + (-2 - 3*s**2 + 2)*(-13*s - 2 + 2))*(-12*s**2 + 2*s**2 - 7*s**2).\nAnswer: -680*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883188099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17735.\nAnswer: 5, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 4:44 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 4856*p**2 - 4856*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2. Let k(v) = 264*v. Calculate g(k(o)).\nAnswer: -139392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 43. Let d = -1588 + 1626. What is the remainder when d is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7606078859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4087 + -3087. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 55 = -4*c. Suppose -3*n + 3*m = -93, c*m + 90 = 3*n - 9. Calculate the remainder when 110 is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1103866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, w: 1, i: 5, n: 3, x: 2}. What is prob of sequence bwix?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -14*q**2 - 6*q - 31. Let d(n) = 5*n**2 + 2*n + 10. What is 6*b(t) + 17*d(t)?\nAnswer: t**2 - 2*t - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (2 - (3 + 0)). Let y(z) = -z**2 + 6*z + 72. Let l be y(12). What is the nearest to l in f, 4\/7, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1681\/41 + -74 - -118?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -208*y + 213*y - k + 31, 1 = k. Let u(i) = 10*i - 9. Let p(x) = -x**2 - 13*x + 41. Let g be p(-15). Let z(o) = 5*o - 5. Give g*z(a) + y*u(a).\nAnswer: -5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(40\/25).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from elljllzd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-2*sqrt(275)).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {k: 2, l: 2, i: 1, o: 1, g: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -45, -110, -221, -402, -677, -1070?\n\"Answer: -4*n**3 + n**2 - 40*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*v**2 - 249*v**2 - 84*v**3 + 139*v**2)*(2*v**2 + 0*v + 0*v) + (4*v**4 - 6*v**4 + 3*v**4)*(1 - 1 - v) - 3*v**5 + v**5 + 0*v**5.\nAnswer: -171*v**5 + 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(12\/5276) + 30\/18. Is y less than -441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 292*x**2. Let m(c) = -1833 + 886 + c + 947. What is u(m(j))?\nAnswer: 292*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26564 divided by -4\nAnswer: -6641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/210, 5\/6, -12038, 5, 1\/8, 5\/3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23044699 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/80 + (0 - (-21)\/15). Let a be 2*d - (7 + -4). What is the biggest value in -0.9, 1.3, a?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 2 - 2) + -11 + 6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-14 - -7 - 9) + 7 + 20\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*g - 1)*(22 - 4*g - 47 + 3*g + (-g - g + g)*(3 - 1 + 0) - 2*g - g + g).\nAnswer: 10*g**2 + 50*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -257, -358, -427, -452, -421?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 = -4*j - 87, -2*n - 48 = 4*j. Let g = n + 101. Suppose -g - 67 = -4*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151482473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*l + 12 + 14*l - 11)*(1 + 0 + 2) in the form r + z*l and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 198\/5 - 6\/(-15). Suppose 4*h - c = 180. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(28\/7 - (-2 - -8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 303*c**6\/2 + 322*c**3 - 1516. What is the third derivative of v(r) wrt r?\nAnswer: 54540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-5)\/(-10)*2. Suppose 49*m - 47*m - 28 = 4*o, 22 = 3*m - t*o. Solve m*s = 23 - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 (base 11) in base 6?\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lld when three letters picked without replacement from {l: 7, v: 6, w: 1, d: 4}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15456809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3305 - -5591. Does 110 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -6 + -8 + (-3 - -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2408.3 and 11.\nAnswer: 26491.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 885*b**2 + 5*b - 1. Let q be x(1). Let y be (4 - 0)\/(4\/(-482)). Let z = y + q. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.536 and 120.\nAnswer: 784.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*q + 2*q - 244, c = 4. Let x be q\/13 - 20\/(-130). Solve 9*j = x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -11. Suppose m + 201 = 4*i, -m = -d*m + 3. Calculate the remainder when i is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.35676478 to four dps.\nAnswer: -0.3568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*c**3 + 2\/3*c**2 - 4\/3*c + 0 = 0. Calculate c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t - 3*v = 15, -4*t = -3*v - 15. Let x = -11 + 7. Sort 2, t, x in increasing order.\nAnswer: x, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*m**2 + 61*m**2 - 12*m**3 - 29*m**2 to the form y + n*m**2 + w*m**3 + b*m and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, v: 5, n: 2, g: 1}. Give prob of picking 1 v and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.270606 hours in days?\nAnswer: 0.01127525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/405, -1\/11, 1\/8, -3, -0.4 in descending order.\nAnswer: 1\/8, -2\/405, -1\/11, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z - 21*z - 1469 = 0. Factor 0*c**2 - z - c**2 - 4*c + 118.\nAnswer: -(c - 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2151, 2139, 2127, 2115, 2103, 2091?\n\"Answer: -12*n + 2163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6012 - 1988 = 16*q. Which is smaller: -501 or q?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.533. Let d = j - -49.967. Is d at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 50*c**2 - 6*c - 41. List the prime factors of t(-13).\nAnswer: 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 - -2 - (6 + -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 2. Let j be z(5). Suppose -4*s - j*d + 8 = 0, -3*d - 23 = -3*s - d. Suppose s*n - 3*n - 14 = r, 0 = n + 5*r + 15. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 260.99999754 + -261. Round t to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 - -383. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000081116502 to 6 dps.\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -423, 2\/7, 0, 0.4?\nAnswer: -423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*8\/6)\/(-68 + (-9120)\/(-135)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 9*a**2 - 8*a - 3. Let s = 391 + -383. What is f(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.6. Let a = 16.037 + -16. Let c = a + -0.137. What is the nearest to c in 5, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298 + 1 = 7*m + 935*y - 859*y, 0 = 4*m + y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5. Let z(h) = h + 32. Suppose 0 = -21*r + 25*r + 156. Let n(d) = r*v(d) + 6*z(d). Determine n(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 496967476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -40*u**2. Let v = 571 + -572. Determine t(v).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 4*g**3 + 0*g**3)*(6 + 14*g - 6 + (1 - 2 + 0)*(g - 2*g + 6*g) + g - g + 3*g).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 3*t - 1 + 0. Let n(i) = -7*i. Let q(k) = -5*n(k) + 6*y(k). Let z(r) = -2*r - 7 - 3*r + 4*r. Give 5*q(h) - 4*z(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -1457?\nAnswer: -1457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25112 - -2?\nAnswer: -25110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.71 + 0.29. Let w = a + -26. What is the smallest value in -8, -5, 0.4, w?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*n + 297. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4791\/12 - 4) + 1\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:03 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o**3 + 7*o**3 + 4*o**3 + (1 + 5 + 1)*(-2*o**3 + 2*o**3 - 3*o**3))*(-2*o**2 + 2 - 2).\nAnswer: 40*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 64)*(-7 - (-7 + -47)). Suppose 13*v - o = -234. What is the remainder when v is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56\/(-10) - 10\/25. Let x be ((-14)\/(-21))\/(2\/c). Sort 0, 5, x.\nAnswer: x, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 3*x**2 + 3*x. Suppose 5*h = -3*c - 1, -4*c - 3*h + 5 = -1. Let o(j) = j**c - 119 + 2*j + 119 - 2*j**2. Give -6*o(d) + 4*w(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h**3 + h**2 + 2*h + 1. Calculate the least common multiple of r(-1) and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3902 at most as big as -3909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 940 - 941. Put g, -0.2, 3\/5, -8 in descending order.\nAnswer: 3\/5, -0.2, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663113401 at least as big as 663113403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeevveeeve. What is prob of picking 3 e?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 66*l + 126*l + 0 as v + u*l and give u.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 20 + 12 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.718891 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 178 times 0.04936\nAnswer: 8.78608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/2)\/(-1) + 5 + -1. Let h be (-5 - p) + (1 - -2). Solve k + h = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119\/18 < -0.176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:26 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 222.\nAnswer: -2664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 127 and 1270?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1919.598 minutes?\nAnswer: 31.9933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-45)\/(-80))\/(0 - -3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1077 or -5378\/5?\nAnswer: -1077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25\/5 + -7)\/(10\/895). Let j = 8 - t. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3420 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(-2 + sqrt(405))*2 + 1)**2.\nAnswer: -4968*sqrt(5) + 58849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 7:58 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*-2*sqrt(240) - sqrt(240)) + sqrt(240) - -3*sqrt(240)*-1)\/((-5*sqrt(180)\/sqrt(3))\/sqrt(5)))**2*-1 + -5.\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:14 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/48783 (b) 1 (c) -1\/4 (d) 8 (e) -2\/17 (f) 5 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -14\/9, -2\/17, 1, -2\/9, 0 in decreasing order.\nAnswer: 1, 0, -2\/17, -2\/9, -14\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - -5. Solve -4*c + x = 5*o - 12, 0 = 2*c - 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3892547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/120 + q**5\/12 + 3*q**4\/8 - 7*q**3\/3 - 295*q**2. Give z(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - (-12 + 9)) + -9 - -19) + 0 + 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 428925 and 39924339.\nAnswer: 17157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) 124 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4*3)\/(6\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 5:52 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 615247744*i**3 + 5836468*i - 14 wrt i?\nAnswer: 3691486464*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -327 + 284 - 154 - 9*z. Let c be p(-22). Solve 0 = q - 3*r + c, -4*q - 5*r + 10 = -10*r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(45\/(-12) + 3). Let g = 26 + i. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(10\/(-46)) + -2. Let k = x + 12. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 q when three letters picked without replacement from ovgmq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19994, -40065, -60214, -80441, -100746, -121129, -141590?\n\"Answer: -39*o**2 - 19954*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 3*v**2 + 2*v + 2. Let s be l(2). Let z be (0 - 1)*(11 - s). Let h = -4 + z. Sort h, -1, 3 in increasing order.\nAnswer: h, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16 + -0.03. Let q = 4.87 + y. Let t = -480162 + 480162.1. Which is the closest to t? (a) 0 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**5\/20 + l**4\/3 + l**3\/6 - 3*l**2\/2 + 5*l. Determine z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 19 - 136 = 0. Suppose 5*g - c = 2*s, g - s = -5 + 13. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w*((((w**(-4)\/w)\/w)\/w)\/w*w)\/w)\/w)\/(w\/w**4))\/(w**11\/(w\/(w**(-4)*w))))**(1\/6) assuming w is positive.\nAnswer: w**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l - 32*l + 3400 = 0. What is the units digit of ((-17)\/(l\/(-630)))\/(6\/(-135))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.71 and -15.11662583?\nAnswer: 14.40662583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 33067312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/137286832 and -91\/85804270.\nAnswer: 686434160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -34, -2560, -6 in increasing order.\nAnswer: -2560, -34, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8 = 5. Let j be k\/11*-2 + (-422)\/(-22). Suppose 0*c + 152 = 2*c. Calculate the highest common divisor of c and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:05 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q = -23*q - 12. Which is the nearest to -1? (a) -1 (b) 2 (c) -1\/8 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 102*q**2 + 106*q - 311. What are the prime factors of l(-25)?\nAnswer: 3, 23, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/43)*d)\/d)**(2\/11) assuming d is positive.\nAnswer: d**(4\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 10:55 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 34*q**2 - 56*q - 28. Let i be 896\/(-42)*6\/(-4). What is the tens digit of w(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 - 32*t**4 - 9*t + 6 + 27*t**4 + 4*t**4 as n*t**4 + f*t**2 + v*t + j*t**3 + m and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*l**4 + 7 + 6*l**4 - 20 - 5*l**3 - 6*l + 8*l + 0*l**3 wrt l?\nAnswer: -12*l**2 - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssqq when four letters picked without replacement from {q: 11, s: 3}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173265 by -4.\nAnswer: 173265\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {w: 4, b: 1, i: 3, f: 7, u: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 140668894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 - -186. Which is the third biggest value? (a) 0 (b) 0.4 (c) p (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2021 * -332.\nAnswer: 670972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -112*i + 5315. Give h(47).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 6*s**2 + 9*s - 4. Let b be x(-7). Let i = 43 + b. Is 7\/(-28) + i\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/7, -45.77, 16\/5, -1.\nAnswer: -45.77, -3, -1, 2\/7, 16\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - b + 7. Let c be u(2). Suppose 2*r - 5*n = 3*r - 12, -21 = 5*r - 2*n. Sort r, 6, c.\nAnswer: r, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2294 and 9731?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - r + 210, 0*v = -2*v + 2*r + 140. Calculate the highest common factor of 20 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*p - 188735, 38*k = 42*k + 3*p - 188753. What are the prime factors of k?\nAnswer: 2, 23593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b (base 14) to base 10.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-96)\/(-45))*(-16200)\/(-1125)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31391 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*n**3 - 25667*n**2 - 632*n + 632*n + 25667*n**2.\nAnswer: 412*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 42 = -2*t + 5*o, -4*t + 145 = 5*o. Let h = -3065 - -9092\/3. Let j = t + h. What is the third smallest value in -4, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109723 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -805 - 205?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 33*w**2 + 284*w - 3. What is the hundreds digit of x(32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:13 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -0.356677?\nAnswer: 0.643323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 203\/245 - (-96)\/(-240)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 - -2533404123?\nAnswer: 2533404153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.13 - 0.13. Let j = q - 5. Let o = 91 - 87. Which is the second biggest value? (a) o (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from yvvhwhhjrrrvjhw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*a**4 + 10*a**4 + 69*a**4 + (-4*a**2 + 3*a**2 + 2*a**2)*(-2*a**2 - 2*a**2 + 5*a**2).\nAnswer: 144*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 2:57 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -241 less than or equal to 4728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5995 - -5999. Put r, -1, -15\/4 in increasing order.\nAnswer: -15\/4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062527354.\nAnswer: 2, 3, 197, 193883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11444520 to the nearest integer?\nAnswer: 3383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10\/3)*v**(1\/54))\/(v**(-30))**11 assuming v is positive.\nAnswer: v**(17641\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 477*w - 569. What are the prime factors of r(7)?\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -194786*d - 89012. Let m(j) = 289*j + 132. Calculate -2023*m(n) - 3*v(n).\nAnswer: -289*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + -0.15. Let v = -817.1 - -817. Let d = f + v. What is d rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/11 + 635120*r**3\/11 - 1270246*r**2\/11 + 635124*r\/11.\nAnswer: 2*r*(r - 1)**2*(r + 317562)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 0.5, 0.2, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -775 < -2323\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**3 + 4*i**3 - 6*i + 0*i**2 + 5*i**2. Let v(n) = -2*n**3 - 2*n**2 + n - 2. Let m be v(-2). Determine z(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 12:44 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -13*u + 33. Let v be c(2). Suppose 0 = -5*w - 5 - 5, 0 = -r - w + 2. Let z(x) = 2*x - 3. Let h(j) = -j + 2. Calculate r*z(t) + v*h(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -5 (b) 1 (c) 2\/7 (d) -72\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 4:30 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnwzznnz. Give prob of picking 1 z and 3 n.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4*g - 5)*(5 - 1 - 3)*(4*g + g - 6*g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -2*r**5\/5 - r**4\/2 + 2*r**3\/3 + r**2 + 1. Factor f(q).\nAnswer: -2*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/8)*m\/(m**(-1\/4)\/m*m)*m**(13\/4)\/m**(-7))**(-7) assuming m is positive.\nAnswer: m**(-679\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -10. Let i = -8 + 6. Let b = i - -8. Calculate the least common multiple of m and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -132*l - 1069. Give z(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**4*t + l**3*t - 93364*l**3 - 2*l**2*t + l**2 - 2726*l*t - l wrt l.\nAnswer: -48*l*t + 6*t - 560184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:46 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -9*j - 1. Let v(a) = 9*a + 1. What is -5*b(c) - 6*v(c)?\nAnswer: -9*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 506782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1736.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(252)*2)\/((sqrt(240)\/sqrt(4))\/sqrt(5)))\/((4*sqrt(189) + sqrt(21))\/(sqrt(3) - (sqrt(432) - (sqrt(432) - (sqrt(432) + -2*sqrt(432)))))) + -3.\nAnswer: -2*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = d - 3*n, -5 = 23*d - 27*d + n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 42 = 4*g. Suppose -7*n - 6 = -g*n. Solve -4*p - 16 = -n*j, 0*j - 4 = p - 2*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 2. Let r(a) = -1. Let k(t) = -o(t) + 2*r(t). Let p(f) = 5*f - 6. Let g(q) = -q + 1. Let d(m) = 30*g(m) + 5*p(m). Give d(k(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -20*i**2. Let h(m) = -1190553*m. What is h(w(l))?\nAnswer: 23811060*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42450 - 20535?\nAnswer: -63315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c - c + c + (1 - 3*c - 1)*(3 - 3 - 3) + 1 - 1 - c + (0 + 1 + 0)*((-4*c - c + 3*c)*(-1 - 1 + 3) + 3*c + c - 3*c - c + 4 - 4 - 2*c + 1 - 1).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -875, -1751, -2629, -3509?\n\"Answer: -v**2 - 873*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20724309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -5\/6*j**6 + 0*j**4 + 0*j - 2 + 0*j**5 + 0*j**3 - j**2. Find the second derivative of v(h) wrt h.\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -33.32. Let a = 0.25 + 0.08. Let o = a + f. What is o rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.59419 * 2\nAnswer: -17.18838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**2 - 5*n + 5. What is the units digit of h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3*o**(2\/13)\/o)**50 assuming o is positive.\nAnswer: o**(2050\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 11*u + 4. Let g be b(11). Let s be (-2240000)\/(((-16)\/10)\/g). What is s rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 279 = -11*n, -4*n + 194 = 3*f + 91 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11213.\nAnswer: 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-8)\/2))\/(((-285)\/15)\/247)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*w - 64*w - 588 = 0. Let r = -76 + w. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50636 - 426 = -22*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 0 - (0 - 133). Suppose 5*a - f = -7. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*2)**2 - sqrt(3) - (sqrt(3) - (-1 + 1 + sqrt(3) + sqrt(3))).\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4340 (base 5) in base 7?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2671, 3, -0.1, 3\/40?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 7. Let p be w(-5). Suppose -9 = -p*q - 3. What is the units digit of 9\/(q + (-3)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-80)\/96 + 4\/24. What is the closest to -1.5 in q, 0.3, -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 12*m + 5 = 0. What is the second derivative of 1 - 7*f - 35*f**5 + 37*f**5 - m wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-6)\/(-3))\/(5 - 8). Suppose 25 = 2*u - 6*v + 3*v, x = -4*u - v + 85. Let t be 8\/u + 3\/5. Let y(o) = -16*o**3 - o**2 - o + 1. What is y(t)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 1:05 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494429989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 821394 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 9. Let s be 48\/(-95) + 12\/30. What is the second smallest value in 3, s, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16405863?\nAnswer: 3, 41, 83, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6028 and 89324.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -5*k**4\/4 + 5*k**3 + 125*k**2\/2 + 105*k + 2241. Suppose t(b) = 0. What is b?\nAnswer: -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide -1 + 1177 + (21 - 0)*11\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1118*w + 18493. What is f(16)?\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -336*l**3*n*o**2 - l**2*o**2 + 3*l*n*o**2 + 2*l*n*o + l*n wrt l.\nAnswer: -2016*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 9*v - 6. Let s be a(-8). Let g = s - -17. Let o(y) = 72*y**2 - 2*y - 1. Is o(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 794 = 5758. Let j = 327 - r. Calculate the highest common divisor of j and 486.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 470576193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0 + 0 + (-1 + 5 - 19)*(-2*f + 2*f + 2*f))*((-3 - 5 + 3)*(-2*f + 7*f**2 + 2*f) + 3*f + 2*f**2 - 3*f).\nAnswer: 957*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 6*g**2 - 8*g - 7. Let v be o(-7). Let d(i) = -i + 18. Calculate d(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 2622*i - 2621*i + 60, -5*i + 86 = 4*b - 48 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -422 + 2269. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17489, -34977, -52465, -69953, -87441, -104929?\n\"Answer: -17488*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**2 - 2991*p - 2823. Let l(i) = 3*i**2 + 1504*i + 1411. Let b(d) = -9*l(d) - 5*m(d). Suppose b(w) = 0. Calculate w.\nAnswer: -472, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*h + 21. Let m be 7\/2*(-20)\/(-35). Suppose -m*k - 2*k = -h. What is the remainder when 4 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -7*v**4\/24 - 28*v**3\/3 - 2*v**2 + 11*v. Suppose 3*d - 30 = -93. What is the remainder when g(d) is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:34 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 + 49*w**2 - 594*w + 7244. Give p(19).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.338 - 241.662. Let h = r - -238. Put h, -3\/5, -0.08, -6 in decreasing order.\nAnswer: -0.08, -3\/5, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.11822 (c) -2\/11 (d) 0.1 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*d = -97 + 124, 2*j = 5*d + 25. Which is the biggest value? (a) 5\/6 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -0.095 (b) -0.32 (c) -4\/7 (d) 0.11 (e) 2 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 3*z + 47, z - 2 = 2*w + 8. Let r be 5\/(4 + 1) + w. Let o = 0.2 - 1.2. Which is the nearest to o? (a) r (b) -0.5 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191, -175, 134, -4, -1 in decreasing order.\nAnswer: 134, -1, -4, -175, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 6*v + 2. Let h(i) = 0*i**2 + 3*i + i - 7*i + 6 + 9*i**2 + 2*i**3. Let x be h(-5). Let p be ((-6)\/x)\/(3\/(-14)). Calculate j(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 53244.\nAnswer: 425952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vei when three letters picked without replacement from {n: 2, a: 1, i: 1, v: 1, j: 1, e: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(2\/3))\/k)*k)**(-38)\/((k\/((k*k**(1\/3))\/k))\/(k*k**(-10)\/k*k)) assuming k is positive.\nAnswer: k**(-111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(2 - 1))\/1. What is the lowest common multiple of 2 and 8\/3*g\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 16*m**3 - 3555*m**2 + 3*m + 21*m**3 + 3556*m**2 in the form q*m**3 + v*m + w*m**2 + y and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 0.0081, -0.08, 0.4.\nAnswer: -0.08, 0.0081, 0.4, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1142 - -1145. Suppose u*k - 54 = -3*a, a = -3*k - k + 33. Let z = 145 - 70. What is the remainder when z is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyuyyuyyyyyyyyyyy. What is prob of sequence yuyu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4372 (base 10) to base 14\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69174 by 9.\nAnswer: 7686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138\/11 + -3980\/319. Let t be (-14)\/588*24 - 6\/14. What is the closest to t in -1, -0.3, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**(-2\/13)))\/g**(-1\/8)*(g\/(((g**9*g)\/g)\/g)*g)\/(g\/((g\/g**5*g)\/g*g)) assuming g is positive.\nAnswer: g**(-907\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3648602 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/48 + (-98)\/16*-2. Let w be (-3)\/(-5)*7*5. What is the lowest common multiple of 6 and q\/w*(-14)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*v - 7614 = -2*v, -2*x + 3060 = -4*v. Suppose -35*u - x = -4394. What are the prime factors of u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 5*y**2 - 2. Let d be p(5). Let z = -415 - -417. Suppose -5*l - 2*a = 29, 4*l - z*l + 3*a + 16 = 0. Sort 1, d, l in increasing order.\nAnswer: l, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -48*r + 14. Let c(n) = -16*n + 5. Calculate -17*c(z) + 6*o(z).\nAnswer: -16*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -498, -4, -3, -81, 1, 54, 0 in descending order.\nAnswer: 54, 1, 0, -3, -4, -81, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 30 = -4*w. Let l(i) = i**2 - 7*i + 9. Let z be l(w). Suppose -j + 6 = -z. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-16788\nAnswer: 3357.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -663370 * -2.\nAnswer: 1326740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1056713366 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195726 and 1467945?\nAnswer: 2935890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -96331719443937?\nAnswer: -96331719443937.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 6, 11*c - 10*c + 38 = -65*d + 71*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, 11, -39?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116817*b + 116817*b + 3 - 233629*b.\nAnswer: 5*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*d - 4. Let b(y) = 1. Let f be (132\/(-231))\/(6\/63). Let j(q) = -2*q + 7. Determine d*j(z) + f*b(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**4\/12 - t**3\/3 + 3*t**2\/2 + 2*t. Does 9 divide j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 13*p**3 - 6*p**2 - 22*p - 4. Let h = -19652 + 19659. Let j(n) = -9*n**3 + 4*n**2 + 15*n + 3. Give h*j(v) + 5*s(v).\nAnswer: 2*v**3 - 2*v**2 - 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26649503 or -26649499?\nAnswer: -26649499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18118851, -18118852, -18118853, -18118854, -18118855, -18118856?\n\"Answer: -v - 18118850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9717 or 1?\nAnswer: 2\/9717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*i = -36, -2*z = -3*z + 3*i + 15. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q - 152 = 0. Let r be q\/57 + 16\/6. What are the prime factors of r - ((-12 - -3) + -4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -240 + -155. Let u = w - -394.1. Are -2\/5 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233784 by 2.\nAnswer: 116892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**2\/2 - 95853*s - 7849860 = 0.\nAnswer: -63820, -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 29*b**3\/3 + b + 2. Let j be h(1). Let a be (-677)\/(-9) + (-4)\/18. Calculate the greatest common divisor of a and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-8) - (-22)\/4. Suppose -i = -u + a, 4*a = u - 2*u + 5. Suppose -5*r - u*p = -165, 0 = -0*r + r - 4*p - 28. Does 18 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 81?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = -4. Suppose -29 = -d - 5*g + 2*g, -d - v*g + 24 = 0. Calculate the lowest common multiple of ((-88)\/(-10))\/(12\/30) and d.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d - 3. Let o be s(2). Let c = o + 2. Let q = c - 3. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from inoocnoonii.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/1 + 0)\/(4\/(-2)). Suppose 0 = -2*j + 7 - 19. Let t(s) = -s**3 - 6*s**2 + 2*s + 3. Let p be t(j). Sort m, -2, p, 5 in increasing order.\nAnswer: p, -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**5\/20 + f**4\/4 - f**3\/6 + 3*f**2 - 8*f. Let b be t(3). Solve l = 8 - b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125146480 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r = 0. Suppose 5673 = 5*z - 36*z. Let c = z - -176. Put r, c, -4 in ascending order.\nAnswer: c, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f6 - 1?\nAnswer: -4f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -46, -0.1, -3 in descending order.\nAnswer: 4, -0.1, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) 5 (c) 2.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93 and 2016.\nAnswer: 62496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 7. Let l be g(10). Suppose -l*b + b = -68. What is the highest common factor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a, 8*z - 284 = 2*a + 742. Solve 0 = 13*l + 155 - z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193.008 + 192. Let g = -1 - m. Round g to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + 22*k. Let j be h(-9). Calculate the greatest common divisor of 60 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368076 take away -2?\nAnswer: 2368078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 696524 to the power of 1\/2, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 3028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1669 - -1673. Solve 0 = j*u + 2*u + 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30041003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 492*h + 6300.\nAnswer: 3*(h - 150)*(h - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 7:11 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/7)\/n*n\/(n**6\/n*n) assuming n is positive.\nAnswer: n**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -38. Let b = i + 4. What is the units digit of b*(-3)\/6*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 plus 0.157?\nAnswer: -0.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(20)*-6*4.\nAnswer: 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 296 + -163. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.01, 8, -2\/23.\nAnswer: -2\/7, -2\/23, 0.01, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 48*r. Let k be z(1). Suppose -5*h + k = -2*h - 3*p, -40 = -3*h - 5*p. Suppose 0 = 5*i - h + 5. Solve i*m - 3*u = -3*m + 14, -8 = -m - 2*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11212438 is divided by 1044?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, 4 in ascending order.\nAnswer: -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvllgugvg. What is prob of sequence ugll?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -546 - -590. What is the lowest common multiple of 104 and r?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.72193 and 88.\nAnswer: 86.27807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syd when three letters picked without replacement from yrrddsyrysyyvsys.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.975 - 2.975. Let j be 2\/(-15)*6\/(-4). Which is the closest to n? (a) j (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*h - 160*h = 339*h. Is -3\/2530 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - k**3 + k**3 - 2*k**3 - 3*k to the form v + m*k**2 + y*k + a*k**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181972*x**3 + 76413*x**3 - 47185*x**3.\nAnswer: 211200*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -4*o - 8*f + 7*f, 0 = -o - 2*f + 72. Suppose 4*a - 26 = -4*v + 78, -4*v + 4 = 0. Let q(r) = -1 + 34*r - o*r + a*r. Determine q(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4 + 7 - 8*n - 3 - 9. Let z = -2 - -3. What is u(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 874.2126 millimeters?\nAnswer: 0.8742126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1483566, 1483574, 1483582, 1483590?\n\"Answer: 8*s + 1483558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bb9 + 0?\nAnswer: -bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*k - 3*k. Suppose s + k = 5. Solve -t - s = -4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 477, 907, 1337, 1767, 2197, 2627?\nAnswer: 3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 80\/12 - (8\/12 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 24*b**2 - 20*b - 64. Suppose -4*s + 140 = -136. Suppose 5*p = 2*p + s. What is the remainder when p is divided by h(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 370.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30.4 and -108280.\nAnswer: -108249.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 42904*a**2. Let f(q) = -126*q**2. Give l(f(z)).\nAnswer: 681143904*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 4. Let q(o) = -11*o**2 - 4 + 4*o**3 - o**3 - 2*o - k*o**3. What is the remainder when q(-11) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 146, 60, 1011 in decreasing order.\nAnswer: 1011, 146, 60, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1. Let o(m) = -2*m**2 - 5. Let n = 6 + -5. Calculate n*o(y) - 4*b(y).\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -111731265 and 0.9?\nAnswer: 111731265.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 5*x + 2 - 3*x - 3*x.\nAnswer: -6*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 22340 = 2*d. Let v(o) = 0 + 503094*o + d*o + 164565*o - 1. Let a be v(-1). Round a to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (561\/3927)\/(-6 + 4 - 50\/(-14))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/4712 and -23\/418.\nAnswer: 51832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.35 + 0.65. Let v = -72 + 76. What is the nearest to c in v, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -o - 27 - 90, o + 118 = 2*m. Is -119 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1234278, 2468555, 3702832, 4937109, 6171386, 7405663?\n\"Answer: 1234277*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/924058 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -321716694 + 2?\nAnswer: -321716692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 3*w + 25. Suppose -2*l + l = 2. Let f be l\/5*(-26 + -4). Is q(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.243878*-3.\nAnswer: -0.731634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5376\/81536)\/(30\/26)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -j, -3*j + 0*j - 8 = 2*o. Suppose -o*p + 3*x + 9 = 0, -p = 2*p + 2*x - 20. Solve 5*y + 9 = -p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66220 - 54412?\nAnswer: 11505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64653964797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 9*p**2 + 13*p - 6*p**2 + 15*p + 0*p**2.\nAnswer: -p**2 + 28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 0)*(3 + -1). Suppose 0 = x*l - 2*j - 3*j + 49, -2*j - 2 = 2*l. Let k(f) = f + 6. Let u be k(l). Solve u = 3*w - 4*w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 167 + -247. Let s = -79 - b. Suppose -2*c = l - 6*c + 17, -3*l - s = -2*c. What is the closest to 1 in l, 4, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 257\/1435 - -6\/287. Let h be (1 - (-2)\/(-53)) + -1. Let w = h + -100\/159. Which is the second smallest value? (a) w (b) -1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzxw when four letters picked without replacement from {f: 1, r: 6, z: 1, w: 2, x: 2}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.47 + -0.53. Let s = -33.68 - v. Let g = s + -0.12. Which is the second biggest value? (a) -1\/14 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*j = 9084, -h + 3*j + 11345 = 4*h. What are the prime factors of h?\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4509*c**5 + 6*c**3 + 67243*c**2 - 2*c?\nAnswer: -270540*c**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a + 142 = 61*a + 31*a. Let x(o) be the first derivative of 1\/18*o**6 + 1\/3*o**a + 0*o - 1\/15*o**5 - 1\/4*o**4 + 1\/9*o**3 - 16. Factor x(i).\nAnswer: i*(i - 2)*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/15792 and 199\/110040.\nAnswer: 10343760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 12) in base 8?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k - 4*k = 35*k + 9*k + 2250 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 3*c - 23, 2*v + 4*c = -8 - 4. Let t = v - -34. Suppose -4*l - 5*i + t = 0, 33 - 4 = 5*l + 2*i. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -12\/17, -23, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 48 - (0 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87\/(-15) + 4)\/((-5)\/25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3\/7 + 4*t**2\/7 + 40*t\/7 + 32\/7.\nAnswer: -4*(t - 4)*(t + 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/2 (b) -131 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 31351?\nAnswer: 31342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40366685\/21 + 1921724. Let z = p - -499. Which is the third biggest value? (a) z (b) -0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1185556037 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*n + 3*q - 20, 4*q = 3*n + 15. Let s = n - -8. Suppose 0*x - 4 = -x - 3*r, -8 = -s*x - 5*r. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -25*y**4\/6 + 5*y**3\/2 - 12*y**2 - 120*y. Let l(j) be the first derivative of p(j). Differentiate l(s) wrt s.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 j when four letters picked without replacement from {j: 12, g: 7}.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -5, -0.1, -8, -1.66, 73?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {n: 1, u: 1, c: 2, x: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6634 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 92611973 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 2, g: 1, e: 1, w: 1, y: 1}. What is prob of sequence yw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/9 + 19*n**2\/9 + 4*n\/9 - 76\/9 = 0. What is n?\nAnswer: -2, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2402*i. Let s(y) = -29822*y**2. Determine s(j(k)).\nAnswer: -172061130488*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 3*d**2 - 5*d + 6. Let y be z(4). Let v be (-6)\/10 - 168\/y. Let f = -16 - -14. What is the nearest to 0.1 in v, f, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208383300 rounded to the nearest one million?\nAnswer: 208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 10:19 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -543\/14 - -77\/2. Sort x, 1.3, 0.1 in descending order.\nAnswer: 1.3, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 y when four letters picked without replacement from vvyyvyyvyyvyyyvyyyy.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-6))\/(4\/(-32)). Which is the closest to 0? (a) 2\/9 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 8:36 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/67, -11182, -77, -2?\nAnswer: -11182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 4*h**2 + 4*h**3 - h**3 - h**2 - 4*h**2. Let l be r(1). Let a be ((-10)\/15)\/(10\/(-225)). Solve 15 = l*v + 3*b, a = 5*v - 8*b + 3*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (13 + (10 + -18 - 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -115\/7. Suppose 2 = 4*o - 2*a - 2, o + 17 = -4*a. Is o equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7567 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -359*j**4 + 359*j**4 + 73*j**5 + (-1 + 5 - 2)*(j**5 + 0 + 0).\nAnswer: 75*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-46695)\/(-12) + 216\/288?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 - 38*z**3 - 25*z**3 + 15*z**3.\nAnswer: -51*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -257344 - 0?\nAnswer: -257344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1242 - 1241.99973554. Round v to six dps.\nAnswer: 0.000264","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*j**6 + 139934*j**3*w**2 - 1245*j**2*w**2 - 11*j**2*w - 99*j**2 wrt j.\nAnswer: -1200*j**3 + 839604*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbttutstbbstsssutt. What is prob of picking 1 u and 1 s?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2 = -1. Let o be (p\/(-3))\/(2\/(-12)). What is the derivative of -3 - 2*r**3 + 2*r**2 - r**3 - 2*r**o wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 326.7193 litres?\nAnswer: 326719.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h**2 + 9*h**2 + 25*h**2 in the form m*h**2 + b*h + w and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6. Let v(s) = -6*s**2 - 3*s + 212. Let d(g) = v(g) - 6*y(g). Differentiate d(n) wrt n.\nAnswer: -12*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63816 + 123937 - 72284 + 2*p)*(3*p**3 + 4*p**2 - 4*p**2).\nAnswer: 6*p**4 - 36489*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.08 + -46.11. Let k = -25.999 + -0.001. Let p = f - k. Which is the second smallest value? (a) 2\/3 (b) -0.1 (c) p (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**2 + 3*t + 3. Let i(c) = 30*c**2 + 8*c + 10. Let w(h) = 8*g(h) - 3*i(h). What is the derivative of w(v) wrt v?\nAnswer: -20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + -1*sqrt(1134))\/(-2*sqrt(8) - sqrt(2)).\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x**2 - 42038*x + 7644 = 0. What is x?\nAnswer: -1911, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4621?\nAnswer: 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111158152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13588.\nAnswer: 2, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2))**(-3))**(-2\/125)\/(j**(-1)\/j**(1\/3)*j**6*j\/(j*j\/(j\/(j\/(j*j\/(j\/(j*j**(3\/2)))))*j))) assuming j is positive.\nAnswer: j**(-6017\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0093102624 rounded to five dps?\nAnswer: -0.00931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*r - 60 = 6, -4*f + 117 = 3*r. Let j = -26 + 59. Let y = j - f. Solve -y = -2*w + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 t when three letters picked without replacement from wttmwmmmmtmwmmtwt?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 23. Let w = 18 + -6. Let v = d + w. Sort -5, 2\/7, v in ascending order.\nAnswer: -5, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124\/27 - -26918\/5967. Let z = -6532\/17 - -384. Let k = v - z. What is the smallest value in 1\/6, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255 - -1020526138\nAnswer: 1020525883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 192*p - 8965. Give y(48).\nAnswer: -2053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6 - (-6)\/9. Let f = 3 + b. Let i be (-6 - -8)*f\/2. Solve 5*v + 15 = -2*t, 8*t - i*t = v + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 + -12?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rerreer. What is prob of picking 2 e and 1 r?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 11:35 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 346522 (base 9) to base 8\nAnswer: 626476","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:25 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -0.5 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*j + 2*j - 20, -10 = 2*l - 2*j. Suppose l = -o + 4*o - 24. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 171279*d + 2912028. Calculate i(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366c4 (base 13) to base 6.\nAnswer: 2051051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22021000 - -120?\nAnswer: 22021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001000011 - -11010111001?\nAnswer: -1110110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -615. Let j(m) = -m + 217. Let h(g) = -g + 219. Let k(p) = 6*h(p) - 7*j(p). Let a(y) = -10*k(y) + 3*z(y). Differentiate a(i) with respect to i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 221 and 2886.\nAnswer: 49062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 15 = -5*l - 43, l - 2*b = 4. Let z = 2 - 1.9. What is the closest to l in 0, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1987 + -1976. Solve -v + b + 9 = 14, 4*b = v + d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*v - 14969 = 3983 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179 + 191. Is q a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 5:01 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4716 + 4693.69. Round n to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*s + 1302871 = 0, -5*x - 9*s = -7*s - 3257183. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15985441 and 6137?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/17)\/(g*(g*g\/g**(-1\/5))\/g))**(-3\/5) assuming g is positive.\nAnswer: g**(591\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 0.2, 0.3, -5, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**4 + u - 2. Let x(g) = 18*g**6 - 10*g**5 - 18*g**4 - 67*g**2 - 6*g + 12. Let j(z) = 6*c(z) + x(z). What is the third derivative of j(a) wrt a?\nAnswer: 2160*a**3 - 600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414984 is divided by 37540.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.314 - -7.314. Let m = 6.7 - 7. Which is the closest to 1? (a) n (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**2 - 9*k - 61. Let w(f) = -f**3 + 7*f**2 - 2*f + 9. Let h be w(7). What is the hundreds digit of t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 47, 130, 263, 452, 703, 1022?\nAnswer: 1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -100, 0.13, 62?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -4. Let i be (-6)\/8 + v\/(-8). Which is the nearest to i? (a) -1 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(80)*5.\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704*q - 2 = 702*q. Let k be ((-2)\/(-6))\/(5\/(-15)). What are the prime factors of (26 - (2 - k)) + q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150627*z = -150623*z - 2*l + 4, -l = -3*z + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.7 and -106.66?\nAnswer: 111.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -39113261.\nAnswer: 39113260.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.35 to 0 decimal places.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m. Let t(q) = -7*q. Let o(u) = 2*k(u) + t(u). Let b(i) be the third derivative of -i**5\/6 - 2*i**2 + 3*i. Calculate b(o(v)).\nAnswer: -810*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/3 + 122*y**2\/9 - 346*y\/9 + 34\/3 = 0. Calculate y.\nAnswer: 1\/3, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -0.3, -1, -0.4, 138, 2 in descending order.\nAnswer: 138, 18, 2, -0.3, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**18)**(-3\/4) assuming v is positive.\nAnswer: v**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3 - -74)*-1)\/1. Let h = u - -76. Solve -3 - h = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*w - 2*c - 1, 3*w - 30 = 3*c. Let 0 - 16\/3*o**3 - w*o**2 - 4\/3*o + 20\/3*o**5 + 6*o**4 = 0. What is o?\nAnswer: -1, -1\/2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2044 - 2019 = 4*d, 0 = 6*x - d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 78709, 78562, 78417, 78274, 78133, 77994, 77857?\n\"Answer: k**2 - 150*k + 78858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(136)\/(sqrt(32)\/sqrt(4)) - sqrt(34)\/(sqrt(2) + (sqrt(2) - sqrt(14)\/sqrt(343))))**2.\nAnswer: 6137\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83.9 + -16.9. Let j = u - 37. Let d = -29.7 + j. Which is the nearest to 0? (a) d (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 422.4 + -432.4. Put -4\/3, j, 0.4, 0.05, 0.3 in increasing order.\nAnswer: j, -4\/3, 0.05, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3317421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(2299) + -1 + sqrt(2299).\nAnswer: 2 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 35 = -7*o. Solve 0 = o*s + 3*p + p - 40, -s = -4*p + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489 = 4*b + h, 12*h = b + 10*h - 120. Calculate the remainder when b is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5972916?\nAnswer: 2, 3, 17, 19, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14411043 - -2101?\nAnswer: -14403442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 41*t**3 - 34*t**2 - 5991. Let c(w) = -7*w**3 + 6*w**2 + 1001. Give 3*b(g) + 17*c(g).\nAnswer: 4*g**3 - 956","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 144322 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617192.5 kilograms to tonnes.\nAnswer: 617.1925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -78 - (313 - 234).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3))**(1\/43)\/((v\/(v*v**(1\/11)\/v))\/(v**(1\/4)\/v)))**22 assuming v is positive.\nAnswer: v**(-9505\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n - 3. Let o(i) = -5*i + 2. Determine -3*a(b) - 5*o(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.9 - -21.6. Let i = -101 + 65. Let l = i + m. What is the third smallest value in -1\/3, l, 4\/3, -4\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 65*p + 409. What is c(-58)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.6562?\nAnswer: 0.19686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 > 509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2081 divide 3324828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -239 in -30, -0.2, 1, -2\/13?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38\/273 (b) -0.0678 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256604 is divided by 110?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, -10, -51, -108, -187, -294, -435, -616?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17315773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 69\/(-21) + 36\/126. What is the third smallest value in -2\/9, -2\/455, d, 0.3?\nAnswer: -2\/455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2041 is divided by 631.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/11 - (7 - (-237)\/(-33)). Solve -3*f + 4*s - 7 - 1 = v, f + 3 = s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**5\/25 - h**4\/20 + 2*h**3\/15 + 31. Factor c(t).\nAnswer: -t**2*(t - 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -4\/75 (c) 552\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -863185 divided by 5\nAnswer: -172637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 5.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7561081 litres to millilitres.\nAnswer: 756.1081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 12526434?\nAnswer: 12526432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/1118986?\nAnswer: 1\/1118986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-5 - 7)) + -7 - (-11 - 1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -516909, -516916, -516925, -516930, -516925, -516904, -516861?\n\"Answer: m**3 - 7*m**2 + 7*m - 516910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63107 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = f - 21. What is the third derivative of 0*l - 6*l**4 - f*l**2 + 2*l - 2*l wrt l?\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9274473*s**6 - 667*s**2 - 533*s - 3 wrt s?\nAnswer: -1112936760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -27.81202 and 75938632.\nAnswer: 75938604.18798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilogram in grams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0407619 to 4 decimal places.\nAnswer: -0.0408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 92620.6 nanometers in millimeters?\nAnswer: 0.0926206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + h + 2. Let x(n) = -n + 1. Let y(s) = 2*s**2 + 6*s + 3. Let d(z) = -3*x(z) - y(z). Let g be 2*-1 + 12\/(-2). What is g*v(m) - 3*d(m)?\nAnswer: -2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8*(-9 - -13). Suppose -18 + 3 = -3*u. Sort u, j, -1 in ascending order.\nAnswer: j, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 119*t**2 + 99*t + 12. Does 15 divide i(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -3347\nAnswer: -10041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 252034, 252319, 252602, 252883, 253162?\n\"Answer: -z**2 + 288*z + 251747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18132\/7 - 2595. Which is bigger: w or -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3373769029 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -15 + 43. Suppose 0 = -2*m - r - 4*r + 24, 18 = 4*m - 5*r. Let p = h + m. Solve p = 3*j + j + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.046 * 1\nAnswer: -0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-6 + 0 - -17)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 31*d**3 - 5*d**2 - 3*d + 5. Let b(h) = 2*h**3 - h**2 - h + 1. Determine 5*b(q) - r(q).\nAnswer: -21*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.19669ml to litres.\nAnswer: 0.00019669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-3))\/((-1155)\/5544).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 4. Suppose 0 = -15*p + 10*p - 55. Let k be (-2)\/p - (-9)\/11. Which is the nearest to 1? (a) -1\/3 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25\/9 - -59\/18. Which is the third smallest value? (a) -4 (b) 0.1 (c) g (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -45*a - 4. Let m(o) = -56*o - 5. Let b(z) = -5*f(z) + 4*m(z). Let t(c) = 10*c**2 - 7*c + 1. Determine 6*b(w) + t(w).\nAnswer: 10*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 - 7*z**2 + 32*z + 277*z + 8*z**2 to o*z**2 + q + b*z and give b.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -984 less than 242537?\nAnswer: 243521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 2*y + 1. Let j(q) = -2*q**2. Let n be j(-1). Let s be d(n). Suppose -c + 9 = -s. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-426)\/(-355)*(-5)\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 128*q**3*v + 2*q**3*z**2 - 561949*q*v*z**2 + 52443712*z**2 wrt v?\nAnswer: 128*q**3 - 561949*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001879379 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 61 + 10290\/(-120)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 minus 24784.510282?\nAnswer: -24829.510282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7626 + 7511. Which is bigger: -227\/2 or w?\nAnswer: -227\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 3. Suppose 3*b + b = 0. Suppose -4*c - 5*m + 15 = b, -c - 4*m - 1 + 2 = 0. What is the units digit of o(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.999732404 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9741097\/217 - -44890. What is the common denominator of i and -4\/341?\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2108, -3010, -3908, -4802, -5692?\nAnswer: -6578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 8:38 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/9 (b) 27 (c) 0 (d) -38\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose s + 3 + 7 = i. Let a(x) = x**2 + 9*x - 10. Let p be a(s). Is 2\/19 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4375.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6 - 2*d - 9*d**2 + 4 - 9*d**2. Let s be j(-2). Find the common denominator of 28\/5 and (-421)\/s - 10\/(-35).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7611211.\nAnswer: 7611211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1955 - 0?\nAnswer: 1955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-3)*12\/7. Solve -4*k + f = 2*h, -h + 3*h = 3*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3575a + -2?\nAnswer: 35758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k**2 + 5*k + 4. Let v be q(-3). Let c(i) = 33*i**2 - 6*i - 17. Let b be c(-4). Let x(g) = -12 + b*g + 3 - 527*g - g**2. What is x(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*j + 26. What are the prime factors of 11 - (-2 + (-3 - j))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/304 and 55\/112?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 177624 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38991901739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 981839 divided by 4\nAnswer: 981839\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -1892 - 5261 - 1443*x - 4207*x - 434*x + 1065 + 4*x**2 = 0?\nAnswer: -1, 1522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*k + 83*k + 81*k - 281*k + 82*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8 + 2*t + 54 - 21. Let q(j) = -8 - 12 + 20 + 3*j. Calculate m(q(v)).\nAnswer: 6*v + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 251 and 384532.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15702487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.376526062 to 4 decimal places.\nAnswer: 0.3765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1050 and -19\/19462170?\nAnswer: 97310850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in -4.7, 2\/5, -0.3184, -2\/19?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 10842?\nAnswer: 1029990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 321806.\nAnswer: 643612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - i - 236, y - 466 = -y - 4*i. Suppose -5*z = -y + 75. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160*b*y**5 - 2*b*y**4 - 10*b*y**3 + b*y**2 + 690*b*y - b - 3*y**2 + 2 wrt y.\nAnswer: 9600*b*y**2 - 48*b*y - 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:50 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 871 in 3, -3, -0.08?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r**4 - r**4 + 0*r**4)*(-4 + 4 - 2) - 19*r**3 - 7*r**3 + 806*r**4 + 267*r**4 + 26*r**3 as q*r**4 + t*r**2 + d + k*r**3 + j*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 22*b + 45. Let s(w) = 3*w**2 - 27*w - 165. Let i be s(13). Calculate l(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 24127 (b) 4 (c) -17\/69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a*i**4 - 2*a*i**3 - a*i**2 - 26780*a*i + 2*a + 13*i**4 - 370*i**3 wrt i?\nAnswer: -96*a*i - 12*a + 312*i - 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*m - 6*m + 30, 0 = m - 4*c - 26. Solve 20 = 6*d - m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3360)\/450)\/16 - (-1)\/((-15)\/2)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8631)\/1918)\/(12 + 0) + 179\/8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 3*s**2 - 2*s - 3. Let y be g(-3). Differentiate -15*x**3 - 11 + y*x**3 + 22 + 20 wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 7*k**3\/3 - 7*k**2 + 14*k - 6. Let b(o) = o - 1. Let p(l) = 14*b(l) + z(l). Let x(g) = -2*g. Give x(p(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -3*x - 5*v - 15, -2*x + 12*v = -10. Put x, -4, -3, -7, -29 in increasing order.\nAnswer: -29, -7, -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308, -677, -1108, -1601, -2156, -2773, -3452?\nAnswer: -4193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -626*t + 626*t + 245 - 244 + 1097*t**3.\nAnswer: 1097*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 9. Let f(x) = x**2 + 2*x + 7. Let l(j) = -3*c(j) - 4*f(j). What is l(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**14*i*((i*i**(-24))\/i*i)\/i*i)\/((i*i**18*i)\/i**(-1\/3)) assuming i is positive.\nAnswer: i**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 100 + (13 - 23 - -14). Calculate the highest common divisor of z and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -460 + 464. Let s = -6.59 - -6.39. Let v(q) = q + 7. Let c be v(-6). What is the fourth smallest value in -12, y, c, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -112406 to the nearest 1000.\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -983, -2836, -4701, -6578, -8467, -10368, -12281?\nAnswer: -14206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112316 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4766*b - 600513. What is w(-126)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*f + 3 = g, 0 = -3*g - 4*f + 8. Is 46 a factor of -3 + 215\/(g\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -4, -1345319?\nAnswer: -1345319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-54)\/12)\/(-9)*50. Suppose -4*x - x - k = -2*h, -5*x = -5. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d - 284 - 112 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2512 is divided by 98?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45407974 - 23750953. Let p = -31757021 + u. What is p rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3084*h**3 + h**2 - 1033*h**3 - 14*h**2 - h**2 - 1028*h**3 - h**2 - 1025*h**3.\nAnswer: -2*h**3 - 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*s - 7*s - 4, -3*s = 0. Solve -3*u = k*t - t + 13, 1 = -t + u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/20)\/(986\/290).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.7 + 3.6. Let w = s + 3. Let p = -2.3 - -2.6. What is the third biggest value in -0.2, p, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 69 = 2*v, -5*u + 67 = 4*v - 26. Suppose k = -2 + 4. Let z be ((-12)\/20)\/(k - 364\/180). What is the highest common divisor of z and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288730 times 0.1\nAnswer: 28873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5486119, 10972238, 16458357, 21944476, 27430595?\nAnswer: 32916714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/18 - (-6)\/27. Let n = -588\/649 - -150\/59. Let k = 43\/33 - n. Which is the nearest to k? (a) -5 (b) y (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + -1b?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0)\/v**(-2\/7))**(7\/2)\/((v**(-1\/6)\/(v\/((v*v\/(v\/v**5))\/v)))\/(v*v**(-2\/3))**(-7\/4)) assuming v is positive.\nAnswer: v**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96574 or -96578?\nAnswer: -96578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -588339, -588133, -587787, -587301, -586675, -585909, -585003?\n\"Answer: 70*m**2 - 4*m - 588405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l**2 - 436933*l + 436933*l.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19, -48, -83, -124, -171?\n\"Answer: -3*f**2 - 20*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 509.87 plus -0.012?\nAnswer: 509.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -467.9 * 3.122\nAnswer: -1460.7838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - ((-21 - -40) + -25)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 346462351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -463288\/5 + 92662. Suppose -18\/5*h**2 - 42\/5*h - k + 2\/5*h**3 = 0. What is h?\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 732*m + 9. Let d(i) = -366*i - 4. Let g(a) = -5*d(a) - 2*l(a). Let x be g(3). Round x to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*i + 39*i + 316*i**2 + 1189*i**2 + 39*i + 3417*i**2.\nAnswer: 4922*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 337.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 149*a - 1938 + 99. Solve 52*l - a = 50*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(1*(-1)\/212). Let j be ((-4)\/(-2) + 1)\/1. Suppose -r = -h - j*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f + 2. Let r(x) = 34*x + 10. Let a(p) = r(p) - 5*s(p). Let l(g) = 1048*g**2. Calculate a(l(h)).\nAnswer: -1048*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 + f - 2. Let u(w) = 4*w - 3 + 4 - 10 + 2*w + 15*w**2. Let i(m) = 21*g(m) - 4*u(m). Factor i(y).\nAnswer: 3*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*x - 165*x + 328*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07994 and -702.\nAnswer: 56.11788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -121\/3. Let u = z - -35\/6. Which is smaller: 0.04 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2 - 2 - 7 + i. Let d be 22\/(-121) + 70\/22. Suppose n + 5*o - 3 = 0, -4*n + 11 = -d*o - 1. Calculate j(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1261, 1757, 3067, 5599, 9761?\n\"Answer: 68*p**3 - p**2 + 23*p + 1171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2 + 8*f + 19. Let j be z(-5). Let s(y) = -82*y - j*y + 2 + 250*y + 2*y**2 - 87*y. What is s(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1370\/7 + -196. Let i = 6.4 - 6. Let l = 0.55736 + -0.35736. What is the nearest to 1 in l, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -3*z + 3*i, -i - 119 = -3*z - 33. Suppose z = -0*n - 3*n. Let f be (-2)\/6 + (-183)\/n. What is the greatest common divisor of f and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 68*x - 1245. Let y be a(15). Let s(i) = i - 4. Let p be s(3). What is the closest to y in 5, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13966194?\nAnswer: 2, 3, 11, 61, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10865*w + 10865*w + 859*w**2.\nAnswer: 859*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19849, 79414, 178683, 317650, 496309, 714654, 972679, 1270378?\n\"Answer: -f**3 + 19858*f**2 - 2*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Let r(t) = 2*t - 8 - s*t - t. Let u be r(-10). Solve -h - 1 = -u*h, 3*q - 5*h + 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 370*m + 265792. Determine d(-363).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/(11\/55)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2 + 8*m**2 - m**3 - 8*m + 2. Let t be d(6). Suppose -5*x + 5*o = -2*x - 43, -5*x - o + 81 = 0. What is the greatest common factor of t and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -72*q**2. Let y(d) = 1066623*d. Give y(f(z)).\nAnswer: -76796856*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 4. Suppose 4*x - 7*x + 9 = 0. Suppose 5*q + x*d = 159, q + 9 = -3*d + 48. Suppose q = j + 5*j. Determine r(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-36))\/3*(0 + 34)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -83891, -83892, -83893, -83894, -83895?\n\"Answer: -g - 83890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 15*u - 11\/3*u**4 + 0 - 16*u**3 + 72*u**2 - 1\/5*u**5. Factor x(d).\nAnswer: -4*(d - 1)*(d + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10872 (base 10) in base 15?\nAnswer: -334c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -1063.05?\nAnswer: -1063.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 7\/2)*0. Solve a - 5*a + 12 = q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 6, k + 128*a - 41 = 130*a. Solve 0 = 2*j + u - 2, -3*j - 44*u + k*u + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 3*f + 16, -29*f + 24*f - 10 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/6*(-78)\/(-546). Let y(w) be the first derivative of -w**2 + 0*w + 11 + f*w**3. Find r such that y(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 2, -2, 403, 0.12?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 798 and 1533.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 10 = -2*c. Let r = -3 - c. Factor 0*i - 2*i**r - i + i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 4 - 13)*(4*m - 3*m - 2*m) to p + r*m and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 13. Let z be 24\/228 + 4\/(-38). Suppose 4*l - 24 = -4*y - z*y, 4*y - 12 = 2*l. Solve x = l*j - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 - 92. Solve p*m - 15 = 9*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (153 + 107 - 3*q - 78)*(5 - 4 - 3)*(q + 3*q + q) to the form n + z*q**2 + t*q and give t.\nAnswer: -1820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8962*l**3 + 6*l**2 + 6*l - 6. Let g(m) = 17921*m**3 + 14*m**2 + 14*m - 14. Determine 3*g(r) - 7*j(r).\nAnswer: -8971*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r - 3 = -32*r - l, -3*r - 5*l = 6. Let v = 3 - 2. Solve x = -4*k + 21, 4*x + 10 = r*k - v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*w + 161*w = 509 - 74 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 11, -2, 268.1, 1\/3 in ascending order.\nAnswer: -2, 1\/3, 0.7, 11, 268.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.681 - 0.581. Sort -14.7, f, -0.1 in descending order.\nAnswer: f, -0.1, -14.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92201 is divided by 904?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*n - 717*n = i - 2, -5*i + 2*n - 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.758 and -11.074401.\nAnswer: -10.316401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -19*g**4\/24 - 33*g**2\/2 - 56*g - 1. Let m(s) be the first derivative of f(s). Let x(w) = -3*w. Give x(m(o)).\nAnswer: 57*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -351 - -524. Suppose -725 = -4*c - w. What is the greatest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 26180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 555675*l - 2778250.\nAnswer: -5*(l + 5)*(l + 111130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2\/13*b**2 - 1546\/13 - 1548\/13*b = 0?\nAnswer: -773, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6325 is divided by 99?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 90366363 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*t + 18 = 0, -4*r - 3*t + 2 = -1. Let b(i) = 30*i - 1218. What is the remainder when b(48) is divided by (348\/r)\/4 + -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.26 and 60796.\nAnswer: 60796.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 7632*n - 247296.\nAnswer: 3*(n - 2576)*(n + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 17*w - 4 = 0. Does 5 divide 2 + -2 + 4 - w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 - 2*c**3 + 671731*c - 671730*c.\nAnswer: -2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5657, 5654, 5651, 5648, 5645, 5642?\nAnswer: 5639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54751 + -0.5.\nAnswer: 54750.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -998484*b**5 + 169*b**4 - 397845983*b**2.\nAnswer: -59909040*b**2 + 4056*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 5 (c) 4 (d) -14 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16024 rounded to 3 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37, 100, 221, 412, 685, 1052, 1525, 2116?\n\"Answer: 2*a**3 + 17*a**2 - 2*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.36, -1\/16, -2\/105?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 18*z - 143 = -18*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105991671 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238299?\nAnswer: 3, 79433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/668525 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (106\/20 - 2))*(-185)\/222.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6667 + -5?\nAnswer: -6673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 791007 times -5?\nAnswer: -3955035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -84. Which is bigger: y or -2\/143?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + (sqrt(153) - (sqrt(153) - (sqrt(153) + (sqrt(153) - -1*sqrt(153)*1)))) + sqrt(153) + sqrt(153))\/(sqrt(45)\/(sqrt(25)\/sqrt(5))).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfp when three letters picked without replacement from fpfpppfpfpfff?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 126319?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165051\/16 + -10311. What is the common denominator of -83\/12 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**(12\/5)*m)\/m)*m*m)\/(m*m**11))**(1\/74) assuming m is positive.\nAnswer: m**(-31\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 3. Suppose 5*l + p - 10 = 5*p, 5*p = 0. Suppose l*v + 3*q + q = 22, -2*v - 2*q = -14. Give k(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6852607 is divided by 143?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 - 2 = 0. Suppose 0*r = -5*s + r + 107, 91 = 4*s + r. Suppose x*q - s = 3*q. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 - 1.7. Which is the nearest to -2\/7? (a) -4 (b) -0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:33 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 2*b**2 - 3*b**2)*(-2*b**2 - 2*b**3 + 2*b**2 - 2*b**3 - b**3 + 5*b**3 + (2*b**3 - b**3 - 2*b**3)*(-1 + 1 + 1) + 1 - 1 + 2*b**3).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*g - 197*g = 1536 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**2 - 66*x**3 - 11*x**2 + 17*x**3.\nAnswer: -49*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 28 + 5)*(1 - s + 0 + 0*s) to b*s + f and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-15 + 16 + -5) - 12\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 2, 1 in descending order.\nAnswer: 77, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 8:34 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -35708886*v**2. Let u(r) = 6*r**2. Calculate h(u(w)).\nAnswer: -1285519896*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2892 - -4725. Let r = -262 + q. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 9:43 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.1 - -25.2. Suppose 2*g + 4 = -u - 7, -5*g = 3*u + 29. Which is the second biggest value? (a) -4 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319603825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x - 52. Let j be c(-21). Let r = j - 7. List the prime factors of 121 + r - (0 - -4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 1260800*q\/9 + 420266\/3.\nAnswer: 2*(q + 1)*(q + 630399)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 0. Let i = v - -20\/3. Put i, -1, -0.5 in descending order.\nAnswer: -0.5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppbbwbpppppbbpbppb. Give prob of picking 1 p and 1 b.\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 268, 773, 1730, 3289, 5600, 8813?\nAnswer: 13078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 + 1544380*i - 4633185 = 0. What is i?\nAnswer: -308879, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 316.0371 - 0.0371. Let x = s + -319. Which is the closest to -1\/2? (a) x (b) 0.059 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 11 + 1. Suppose 4*w + 2*c - 24 = 0, -5*c = -13 + 3. Let h = w + q. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -11299, -6, 3 in ascending order.\nAnswer: -11299, -33, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -72 + 4*j + 3*j + 3*j**3 - 5*j**2 - 2*j + 66. What is the tens digit of b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2. Let s(n) = 637889*n. What is t(s(j))?\nAnswer: -1220707128963*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 510*l + 52*l**3 - 510*l + 4*l**3 - 2*l**3 + 3*l**3 + (l**2 - 12*l**2 + 2*l**2)*(4*l + 0*l - 2*l).\nAnswer: 39*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 17*u - 9. Let g(s) = -4*s + 2. Let m(z) = 6*d(z) + 26*g(z). What is m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 10 + 1. Let b(r) = -r**2 - 3*r - 2. Let m be b(-2). Suppose -4*v - 4 = -0. Sort h, v, m in decreasing order.\nAnswer: h, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - 1?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101573 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.995557072 from -0.1404.\nAnswer: 4.855157072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2797, -2796, -2793, -2788?\nAnswer: -2781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 854835700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -1. Let a be 12\/3*x\/(-4). Suppose -a*v = -2*y + 26, -5*y + 32 = -v - 7. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 a factor of 28727694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 3. Let r(y) = 3 - 2*y + l - 5. Let h(i) = -6*i + 11. Let p(t) = t - 1. Let d(c) = h(c) + 2*p(c). Determine -3*d(g) + 7*r(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 11:27 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429956 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 150, 173, 186, 183, 158?\n\"Answer: -g**3 + g**2 + 27*g + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7 - 250*21\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 - d - 6. Let h be o(-5). Does 8 divide 2\/4*(h - -17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6*c - 50 = -c, 4 = -c. Let p(h) = -h**2 - 16*h + 30. Let i be p(j). What is the second derivative of -7*g**3 + 41*g - i*g + 19*g**3 wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7194 is divided by 257?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21010 (base 3) to base 7.\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-3\/10))\/y*y*y*y**(2\/105))\/((y*y\/(y*y*y\/y**20))\/y**(-30)) assuming y is positive.\nAnswer: y**(-9719\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -53 (c) 1 (d) -3 (e) 10432 (f) -2 (g) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**2\/2 - 7. Let o(g) = -4*g**2. What is o(u(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 14 - (-420)\/308*11. Suppose 9\/2*t + 3\/2*t**2 + k = 0. Calculate t.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 135\/2 - ((-28)\/(-8) - 4). Calculate the common denominator of (v\/96 - 1)*14 and -44\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - i = 12. Let n be ((-4)\/10)\/(2\/(-10)). What are the prime factors of (i + -3 + n)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6303*q + 6314*q + 6322*q - 18962*q.\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x = 6*x + 1815. Suppose 0 = 5*f - 43 - 32. What is the highest common factor of x and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 27, 8, -10, 59, 0, -3 in increasing order.\nAnswer: -10, -3, -2, 0, 8, 27, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**4 - 9*k**3 + 8*k**2 - 5*k + 7187. Let y(r) = 4*r**3 + r**2 - r - 1. Let t(g) = -j(g) + 8*y(g). Differentiate t(s) with respect to s.\nAnswer: 4*s**3 + 123*s**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o**5 + 812*o**4 + o**2 - 1823*o.\nAnswer: 80*o**3 + 9744*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**3*q**4 - 8*j**3*q**2 - 7*j**3 + 2*j**2 - j*q + 2206*q**5 wrt q.\nAnswer: -24*j**3*q + 132360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -o - q, 3*q = -6. Let r(y) = -2*y**2 - 3*y**2 - y**o. Let l(c) = 2*c. Give r(l(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -20. Find the third derivative of l**3 + 8*l**3 + l**s + 17*l**2 wrt l.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**7\/14 + 21*i**5\/20 + i**4\/2 - 6*i**3 - 12*i**2 + 218*i. Determine o, given that x(o) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3818 > 3800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 4*a - 3*a, 0 = 5*a - 4*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -25*j + 1 + 0*j**2 + 0*j**3 - 1\/12*j**4. Let k(a) be the third derivative of 31*a**4\/24 - 3*a**2. Give k(w(o)).\nAnswer: -31*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u - 12. Let h be y(-10). Suppose -3*f - 13 + h = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15816)\/(-659)*(-44)\/(-24)*8\/(-4)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 8. What is the third derivative of 5 - 140*u**4 + 140*u**4 + 2*u**2 - 14*u**3 - u**n wrt u?\nAnswer: -120*u**3 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -36814027*k. Let t(w) = -2*w**2. Calculate q(t(o)).\nAnswer: 73628054*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30576973, -122307887, -275192745, -489231547, -764424293, -1100770983, -1498271617?\nAnswer: -1956926195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 3*p + 1. Find the second derivative of 0*h + 10*h - 7*h**4 + p*h - 4*h wrt h.\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1436310259 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/(((v**(-9)\/v*v)\/v)\/v))\/(v*(v*v**(-6)*v*v)\/v*v**(-6)*v) assuming v is positive.\nAnswer: v**(173\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:04 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46243326 (base 8) in base 10?\nAnswer: 10045142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 - 8823*d**2 + 5605995*d - 925473781 = 0. Calculate d.\nAnswer: 337, 8149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 6:25 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 261 = 3*f + 203, -i + 11 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.192.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/70*(-220900)\/(-13254).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 11. Let u be s(-10). Let m be 2 - (u - (1 - -2)). Let d be 1\/(-2)*48\/228. Sort -4\/3, m, d in ascending order.\nAnswer: -4\/3, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*m*z**3 - 975128*m*z**2 + 1191*m + z**3 - z + 1711 wrt z?\nAnswer: -42*m*z - 1950256*m + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u - u - 4*u)*(-1 + 0 + 0 + 1 - 2 - 1 - 1 + 3 - 1 + (0 + 2 - 3)*(1 - 2 - 1) - 4 + 2 + 3 - 3 + 1 + 1 - 18 + 62 + 46 + 2 + 5 - 4).\nAnswer: 186*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - q)*(-928 + 121 - 375).\nAnswer: 1182*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4324 - 4326. Which is the closest to -0.1? (a) 695 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3)*-6*(-15 + 16). Is 47 a factor of (-3 - -99 - q) + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(6\/4))\/(8\/(-24)). Solve -1 - r = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156442 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -17, 4 in ascending order.\nAnswer: -17, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuuc when four letters picked without replacement from {k: 1, c: 2, v: 6, u: 3, m: 4, j: 3}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30214 - 159786. Round w to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a8 - -a977?\nAnswer: ab30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 12\/7*l**2 - 16\/7*l + 4\/7*l**3 - 48\/7 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*x - 937 - 1358. Which is the second biggest value? (a) -2\/17 (b) 3\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - 211. Let t = -144 - s. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, f: 2, o: 1, d: 2}. Give prob of sequence fdod.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Suppose 84 = 4*p - 5*b, -3*p - 4*b + 45 - 13 = 0. What is the smallest common multiple of p and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5434963?\nAnswer: 79, 89, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2314*a - 6925*a + 2301*a + 2263*a.\nAnswer: -47*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 1:28 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*n**2 - 12*n**5 - n**2 - 7*n**2 wrt n?\nAnswer: -720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1040 and 1202460?\nAnswer: 62527920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 53547 + 17797*m + 10201*m - 53547 in the form n*m + u and give n.\nAnswer: 27998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/6 + -2 + 6)*(-6)\/(-63).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1332?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 3*l)*(-4 + 6 - 1)*(128 - 128 + 63*l**2).\nAnswer: 126*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2. Let o(x) be the second derivative of x**3\/6 + 2*x. What is o(p(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -215, -244, -295, -374?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -57. Calculate the remainder when 95 is divided by k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1908.37 kilometers?\nAnswer: 1908370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 a factor of 663103660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*o**4 + 222*o**2 - o + 26737?\nAnswer: 588*o**2 + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -36. Let z = u - 11. Find the first derivative of -r - 13 + z + 6*r wrt r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251326295 by 50265259.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*d + 315*d - 511071 = 0. What are the prime factors of d?\nAnswer: 17, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-8)*(o\/o**(-7\/4))\/o*o*(o**13*o)**(1\/4) assuming o is positive.\nAnswer: o**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 761360 and 1218176.\nAnswer: 6090880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -366, -535, -698, -849, -982, -1091?\nAnswer: -1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**4\/12 + 3*o**3\/2 + 5*o**2\/2 - 7*o + 5. Let r(q) be the first derivative of t(q). What is the units digit of r(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9989 - 0.0811. Let d = j - -1.9803. Round d to 3 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295340 less than -0.48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let i(y) = -18 + 34 + y + 45 + 21 - 1. Give i(h(f)).\nAnswer: 2*f**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**3 - 18430231 + 18430231.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s + 6*s + 2*s - 4*s**2)*(-16 + 6*s**2 + 16).\nAnswer: -24*s**4 - 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -768, -769, -770, -771?\n\"Answer: -c - 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -467*f**5 - 3*f**3 - 259*f - 34 wrt f.\nAnswer: -9340*f**3 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrkkk. What is prob of sequence rr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c - 11*c + 44. Let k(h) = -h**2 - 22*h + 3. Let u be k(c). Let b be -53497 - (u + -5 + 5). What is b rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*2\/(-6)*49. Let n = x + 48. Find the common denominator of ((-10)\/16 - n)\/(9\/412) and 73\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6768257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 4478.\nAnswer: 1791.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 + 310034*q**2\/7 - 88582*q + 310038\/7.\nAnswer: 2*(q - 1)**2*(q + 155019)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 - 51 = 2*w. Let a = -10 + 13. What is the remainder when (-155)\/w + (-2)\/(-11) is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 1515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -32?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - a + 5*a + 20 = 0, a - 19 = -5*q. Which is bigger: q or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u\/(u\/u**(-1)*u)*u)*u)\/u)*(u\/(u*u**(-4\/5)*u))\/u)**(6\/17)\/((u*(u\/(u\/(u**0*u)*u))\/u*u)\/((u*u**(-3\/4)*u*u)\/u))**(-41) assuming u is positive.\nAnswer: u**(-3749\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 - 2*j - 1. Let s be o(-1). Let m be 9\/(-6) + s\/(-6). What is the remainder when 34 is divided by 12 + -11 - (-7 + m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyqv when four letters picked without replacement from {v: 2, w: 3, q: 2, y: 6}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/10)\/6)\/((-2)\/32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021212020 + 21120?\nAnswer: 10022010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12)\/((b\/(b\/b**8))\/b))\/((b\/b**(-6\/11))\/b*b**(-9\/5)) assuming b is positive.\nAnswer: b**(-976\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**(2\/47)\/z)\/z*z*z**(2\/23)\/z)**47 assuming z is positive.\nAnswer: z**(140\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a + 2?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33243, 66517, 99791, 133065, 166339?\n\"Answer: 33274*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -4*b**2 + 66*b + 19. Differentiate x(j) with respect to j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5501*l + 2200 = -5601*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 4:38 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5232 - 0.2232. What is the fourth smallest value in 1, -0.2, j, -5, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565960 is divided by 735?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -20. Let g = 6 + a. Let f = g - -3. Is f >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:22 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7a3559 - -3?\nAnswer: -7a3556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 384800 to the nearest 10000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1739 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1064\/1681 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-2 - 1 - (371 - 371)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s**2 - 1. Let g(f) = 29*f**2 - 2. Calculate 3*g(i) - 8*u(i).\nAnswer: 7*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**2 + 2 + 2*p + 19*p**2 - 2*p as f*p + a + i*p**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 38*v + 6 - 13)*(-2 - 3 + 4) to the form i*v + a and give i.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301000 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24813 + -8343. Factor -2*o**3 + 16444*o**2 - c*o**2 - 84 - 96*o + 12.\nAnswer: -2*(o + 1)*(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-6)\/27*-3. Let a(o) = o - 1. Let g be a(3). Suppose 5*t = g*t + 18. Solve 3*s = -2*b - 0*s - t, 0 = 2*b + s + p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -3\/2, -0.2, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8592207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 87*n + 192. Let j be a(-8). Suppose 21 + 12 = 5*i - f, 2*f + 31 = 5*i. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 66143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.132, -2\/3 in ascending order.\nAnswer: -2\/3, -0.132, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**4 + 27*v**3 + 51*v**2 - 27*v - 54 = 0.\nAnswer: -6, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44019? (a) -1\/7 (b) 11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*n - 36 = 0, 2*v + 18 = -0*v + n. Let j(b) = 2*b**2 + 10*b + 7. Is j(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - v + v)*(2*v - 2*v - 3*v)*(88 - 38 - 39).\nAnswer: -66*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -3*k + 1002. Let w = 327 - k. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/456 and -119\/30?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4\/7 + 2805*s**3\/7 - 5598*s**2\/7 = 0. Calculate s.\nAnswer: 0, 2, 933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**3 + 0*f + 1 - f**3 + f + f**3. Suppose -36 = -5*z - 4*i, 2*z + i - 14 = -i. Calculate the lowest common multiple of z and b(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. Suppose z - 15 = -a*z. Suppose 4*x + t = 0, -2*x + z*t = 3*x. Solve x = -4*r + r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/3 + (8\/3)\/(-2). Calculate the highest common factor of j and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 81*b - 9 = 76*b, 2*c = -5*b + 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -261aa9 (base 14) to base 2.\nAnswer: -101000000000100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4342*t**2 + 40*t + 3. Is x(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3209 = -9*w + 1804. List the prime factors of w.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 3209 = -475*k + 439. Let w(i) = -i**3 + 13*i**2 - i - 3. Let g(h) = h**2. Let m(p) = 5*g(p) - w(p). Give m(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 387, 1568, 3537, 6294?\n\"Answer: 394*o**2 - o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435.\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*d = -2057 + 4107 - 2022, -7*d = -42 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4\/8 + 647*u**3 + 3330707*u**2\/4 - 11752755*u + 329967225\/8 = 0.\nAnswer: -2595, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1757755?\nAnswer: 5, 351551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 17 (c) -2\/11 (d) -0.4 (e) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 292075523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -384.2 + 384. Which is the second biggest value? (a) -2\/5 (b) p (c) 0.6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -1) + 1 + (-47 - -49)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 25829996?\nAnswer: 25829992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 77090, 77075, 77060?\n\"Answer: -15*r + 77105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1424943055 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 203 = 57*b, -4*c - 176*b + 171*b = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3376 divided by -8.\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -63 (b) 2\/19 (c) -300 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9*g = 253. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 271, -9\/20, 4 in decreasing order.\nAnswer: 271, 4, -9\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-83)\/1 - (-13 - -17). Let n = -32 - d. Calculate the greatest common divisor of n and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -103, -3, -0.4, -4, 1\/183?\nAnswer: 1\/183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2 + 39480*x + 145755936 = 0.\nAnswer: -2862, 12732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - v + 4*v = 108, 36 = c - 5*v. Solve -33*n + c*n + 9 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -16)*((-40)\/(-60) + 19\/(-6))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -376*f. Let m(i) be the third derivative of 13*i**5\/60 - 3438*i**2 + i - 2. Calculate m(j(d)).\nAnswer: 1837888*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 - 3*k - 1. Let o be p(3). Let l = -3 + o. Suppose l*m = 3*d + 40, m - d + 5*d = -15. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 1140 = 8*m + 12*m. What is the smallest common multiple of m and 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 241 and 7?\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**(-43)*(x**(-1\/3)\/x)\/x**(-1\/5))**(-11\/5) assuming x is positive.\nAnswer: x**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 3*o + 3432 - 3471, -6*z + 2*o = -66 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 2406728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/23, -2, 1, -174.707?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 383, -16, -125.\nAnswer: -125, -16, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -35)\/(-1 + -1). Suppose 7*y = s*y - 946. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooopoooopoooho. Give prob of sequence hpp.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40326865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/6*-2)\/(-13 + (-26970)\/(-2077)). Which is the second smallest value? (a) n (b) 2 (c) 1\/10 (d) -0.5 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s - 1. Let j(x) = 2*x - 3*x + 3 + x**2 + 2*x. Calculate the lowest common multiple of d(2) and j(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -68 (b) 1\/7 (c) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/15227 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 105480*x - 927169200.\nAnswer: -3*(x + 17580)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 12 = 31677*p - 31676*p, -24 = 2*r + 4*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -5*a**3\/6 - a**2 + 3*a. Let l be -2 + -1 + 3 + -3. What are the prime factors of k(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q - 11. Let s be d(7). Suppose -3*p + 36 = 4*m - s, 5*p - 135 = -m. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21637509 and 348?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -216 and 5.\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 283690, 566790, 849890?\n\"Answer: 283100*c + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (-6)\/9)\/(2\/6). Let i be b + 2 - (-14)\/(-7). Is i < -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - q + 2606, q - 941 = 4*k - 6165. Let y = 1963 - k. Let a = y + 492. Round a to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 (base 14) in base 13?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3170.12 - -3060. Let a = r - -110. Sort 2, 2\/7, a in descending order.\nAnswer: 2, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*a + 519*a + 18048 = 0 for a.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 5 - 119532*u - u**2.\nAnswer: -u**2 - 119532*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 21 - (4 + -2)) + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 307 = 483 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161429*z**6 + 24*z**2 + 120*z + 4?\nAnswer: 19371480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.394 + 0.4484. Let v = p - 0.05439722. What is v rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 12:05 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:02 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - r - 30164 = 0, -41847 + 11691 = -4*d - r. Suppose 15*a = d - 355. List the prime factors of a.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, e: 3, s: 1, x: 1, j: 3}. Give prob of picking 1 l and 1 x.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 34203 = 33069 for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1690 = -8*h. Let u be (h\/25 - -6)\/((-2)\/60). Let f = 65 + -11. What is the highest common factor of u and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1220)\/(-3294)*(-36)\/(-30)*((-21)\/6)\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(-99 - 63 + 171 - 47*g) in the form y + r*g and give r.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -7e99bd?\nAnswer: 7e99c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - 477*k + 484*k + k**3)*(-2*k**2 + 2*k**2 - k**2).\nAnswer: -k**5 - 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -17 + (-72 - (10 - (-8 + 23))).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 7) to base 13\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3055684\/820872 - (3 + -6). Let u = a + -3\/11401. What is the common denominator of u and -49\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44.07 + 44. Sort 2\/5, 0.2, a in descending order.\nAnswer: 2\/5, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14\/56403 + 11283554\/11901033. Let v = -24107\/5064 - q. What is the common denominator of v and 61\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 728303\nAnswer: -12\/728303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535442641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 293 = -26*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v. Let u(o) be the first derivative of 5*o**3\/3 - 7*o - 2. Let q(k) = -2*k**2 + 3. Let w(d) = -14*q(d) - 6*u(d). Calculate f(w(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/11)\/w**34)\/(w**(-11)*w*w\/w**(-28)*w*w))**(-23) assuming w is positive.\nAnswer: w**(13961\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3918923768.\nAnswer: 2, 307, 1595653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 71900000 to the nearest 1000000.\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88200437.\nAnswer: 13, 17, 399097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from zaecnncmczec.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -2\/3*z**3 + z**2 + 1\/6*z**4 + 0 - z. Determine f, given that h(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 318?\nAnswer: 5406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2475 and 605325.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 144389 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1398 + 14208*r**2 - 659 - 739)*(1 - 2 - 1).\nAnswer: -28416*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (73 - (-49 - -44)) + -36?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 - 3)*(2*s - 2*s - 3*s).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -981, -131, 0.22, 6 in ascending order.\nAnswer: -981, -131, 0.22, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 q, and 1 m when four letters picked without replacement from {k: 2, z: 3, q: 3, e: 4, l: 2, m: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/9 + 4\/(-6). Are -1\/20 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1105 - -561. Let i be 10\/(-4)*f\/85. Solve -i = 2*a - 5*p + 1, 3*p = -a + 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, a: 3, u: 8}. What is prob of picking 1 j and 3 u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28553*r**2 + 28549*r**2 + 28519*r**2 + 28538*r**2 - 114187*r**2.\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 10:06 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2391.\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13913*b*l**4 - 2*b*l**3 - 370*b*l**2 - 447*b - 23*l**4 wrt l.\nAnswer: -333912*b*l - 12*b - 552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - sqrt(156)*4*-3 - (sqrt(156) + -4*(sqrt(156) + sqrt(156)*-1)))\/(-4*(-4*(sqrt(96)*1 + sqrt(96)))\/sqrt(8)).\nAnswer: 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-36) + (-7)\/(-4). Solve 2*s - 3*z = r*z - 6, 4*z + 9 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (4 + -6 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.148082 times -4\nAnswer: -28.592328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*((-10)\/5)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 16 = -4*j. Let f be -1 - (4\/j)\/1. Suppose -5*k - l + 26 + 34 = f, 0 = -4*k + l + 57. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 230, 242, 270, 320, 398, 510?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 173, 360, 561, 782, 1029, 1308, 1625, 1986?\n\"Answer: t**3 + t**2 + 177*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcicbciiczcc. What is prob of sequence zbz?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 1. Let g(k) = 64*k + 61*k - 49 + 60*k + 2*k**2 - 191*k + 55. Determine 4*a(x) - g(x).\nAnswer: -2*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 + -5 + (4 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -618*m + 686*m. Determine h so that 0*h - 10\/3*h**3 - 7\/6*h**2 + m + 1\/2*h**4 = 0.\nAnswer: -1\/3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224980 = -3*f + 3*a - 224974, 2*f = 5*a + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 4:37 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10075?\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-28) - (-72)\/42. Is b not equal to 26\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1 - 3*n**2 + 5 - 5*n + 4*n**2. Suppose 0 = -5*j + 25, -5*x - 2*j + 5*j = 10. Suppose -f - 1 = 5*i, -2*i = f + x - 3. What is a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 861 + 1046 = -798*n - 2881 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/109 + 1772\/763. Calculate the common denominator of i and -2\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1195)\/(-20) - -6)*4. Put 3, -1, p in descending order.\nAnswer: p, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 75 = -9*o, -12 = 5*h - o - 37. Which is the closest to 2\/3? (a) 4 (b) -1\/88 (c) -2\/5 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1276 + 194 = 14*k. Calculate the remainder when k is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1777670 and 6\/3013.\nAnswer: 1777670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-6)\/u)\/u)\/((u\/u**(11\/3))\/u))**(-1\/36) assuming u is positive.\nAnswer: u**(13\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 637 + -410. Let t = 27 + k. Suppose -82 - t = -4*a. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-18)\/(-15))*(-209)\/190?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*u + 171*u = -28*u + 293185. What is the remainder when u is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8312, -18960, -29608, -40256, -50904?\n\"Answer: -10648*i + 2336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g - 1. Suppose -2*f = -3*u + 7, 3*f - u + 1 = f. Let a(o) = o**3 - 1. What is f*t(n) - a(n)?\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 2 + -2 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 63, -3\/25, -1, -4?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - 4)*(-154 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*s + 1557 = 0, -4*s = o + 93 - 888. Calculate the remainder when o is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - ((0 - 1) + 2). Suppose -2*k = 3*m - 35, 4*m = 6*m + v*k - 30. What is the units digit of 86 + (-2)\/(-6)*m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375382.1us to seconds.\nAnswer: 0.3753821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -673*p + 5. Let z be m(-1). Let y = 1271 - z. List the prime factors of y.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**4*(b**0)**(2\/5))**35 assuming b is positive.\nAnswer: b**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/46314 and -79\/1395?\nAnswer: 231570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5420821151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 36*o**2 + 18*o + 660. Determine z(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*f - 36*f**3 + 146*f + 134*f + 39*f**3 as i*f**3 + s + t*f**2 + a*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4267*b + 73*b + 104 - 104 + 8775*b.\nAnswer: 13115*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5238968 to the power of 1\/2, to the nearest integer?\nAnswer: 2289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -44 - 73*k + 28 + 15 - 38*k - 15*k. Let q(l) = 27*l**2. Calculate q(d(n)).\nAnswer: 428652*n**2 + 6804*n + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 945\/8 - 118. Let x = 13.7 + -12.7. Which is the closest to x? (a) 2\/7 (b) 2\/5 (c) 1\/2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 4*a + 20, 4*m - 41 = 5*a - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a + 15. Let q(l) = 2*l**2 + 17*l - 16. Is 15 a factor of q(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3339 + -3336. Which is the closest to -19? (a) -3\/8 (b) 2\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (9 + 10 + -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-10 + (14 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001110001111011011 (base 2) in base 4?\nAnswer: -1032033123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 291*i**3 + 4*i**2 - 3*i + 2. Is 23 a factor of z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x - 145 + 89 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25644467*b**6 + 2*b**5 + 79*b**2 - 43467*b + 1 wrt b.\nAnswer: -3077336040*b**3 + 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*m + 7*m. Suppose 2*y = -3*y - m. Let f be 2 - (y + 601 + 2). Round f to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + s**2 + 5*s**2 + (5*s**2 + s**2 - 2*s**2)*(-2 - 4 - 1) as c*s + k*s**2 + f and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -11*c**4\/12 + c. Let o be (24\/44)\/3 + 180\/99. Let d(b) = 859 - o*b**2 - 859. Calculate u(d(f)).\nAnswer: -44*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -666 + 7a0?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from aiaccaiciaiiiaiicii?\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15356 - -0.3\nAnswer: 15356.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 147*p**5 + 7408*p**3 - 7408*p**3 + (3 - 2 - 2)*(0*p**5 + 0*p**5 + 2*p**5).\nAnswer: 145*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 184000.8 * 0.1.\nAnswer: 18400.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1\/2, -1, -5\/1233, -27 in ascending order.\nAnswer: -27, -1, -5\/1233, 1\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.91 + 1. Let z = 3.91 + s. Which is the second biggest value? (a) 1 (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -13*y**4\/4 + 65*y**3\/6 - 18*y. Find the second derivative of m(q) wrt q.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 2239, 7532, 17831, 34804, 60119, 95444, 142447?\nAnswer: 202796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 8) + 1 + 4 - 4 - 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 251174 and 756318?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -0.27, -2\/165, 14 in ascending order.\nAnswer: -0.27, -2\/165, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2000930240 and 0?\nAnswer: 2000930240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -77*h**2 + 3*h. Let x(o) be the third derivative of -3*o**5\/10 + 21*o**2 - 102*o. What is w(x(s))?\nAnswer: -24948*s**4 - 54*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 21*o**3 - 14*o + 5. Let n(q) = -10*q**3 + 7*q - 2. Let g(j) = -2*a(j) - 5*n(j). Find the second derivative of g(c) wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -7. Let m be 3 + 0 + 19 + -7. Suppose -4*u = -n*f - 14, 3*f + 0*f - m = 0. Calculate the remainder when 10 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4)\/x*x*x**(-1)\/x*(x\/x**1)**18 assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3050000 and 1952?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s = 16. Factor g + 0*g**5 - g**5 + 2*g**2 + 0*g**4 - 2*g**s + 0*g**5.\nAnswer: -g*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -842 + -0.5.\nAnswer: -842.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 902 - 159?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1598.9 - -1599. Put 3\/2, m, 0.41 in increasing order.\nAnswer: m, 0.41, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9942135 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111010 - -100?\nAnswer: -101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 - 93786*v\/5 - 75032\/5 = 0. What is v?\nAnswer: -4\/5, 18758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Let n be 1\/((-3)\/(0 - 3)). Let y(a) = -7*a - n - 2*a**3 + a**3 + 5*a + 4*a. What is y(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 13*o**2 - 2*o + 17. Let n be u(13). Let h(c) = 2*c + 21. Let x be h(n). Suppose -x*p = 3*s - 15, p + p - 1 = s. Solve -5*l = -s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -11) + -8 - (10 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -571 in -1\/8, 494\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-55 - -52)*(14\/(-10) - (-8)\/20). Let d(o) = 10*o + 5. Calculate d(w).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 45355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14684\/33 - -445. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vygc when four letters picked without replacement from {c: 1, y: 1, g: 1, h: 1, v: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 77*a + 353. Let o be t(71). Which is smaller: o or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-389)\/(-778)*1\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66957.\nAnswer: 3, 11, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**9\/252 + 5*b**8\/336 - b**5\/60 - 113*b**4\/12 + 263*b**2. What is the third derivative of f(c) wrt c?\nAnswer: 240*c**3 + 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 22*o - 2*o**3 + 3 - 44*o + 19*o - o**2. Determine g(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1121057 to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a - 8*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**5\/30 + h**4\/8 - h**3\/2 + 2*h**2. Calculate the remainder when 42 is divided by q(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 541\/((-868846)\/11388)*(-22)\/(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1322431 (base 6) to base 12\nAnswer: -36417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - q**2 + 23. Let w be 1\/(-3) + 1\/3. Is u(w) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8*y**3 - 17*y**3 - y**3)*(-1 + 6 - 3) + 0 - y**3 + 0)*(-10*y + 17*y + 23*y).\nAnswer: -1590*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.1, 5, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -db (base 15) to base 2\nAnswer: -11001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*s + 6*n, s - 5*n + 54902 = 54875 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-2)\/(-9 - 3\/(-3))). Solve 11*l - 9*l + n = -s, 3*s + 5*l = -11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2524026.7 + -10.77.\nAnswer: 2524015.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/30)\/(330\/(-484) + (-2)\/(-11))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 0 - 1\/6*z**3 + 1\/2*z**2 - z. What is the first derivative of r(h) wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32192969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 741 = -11*m + 70. Let d = -59 - m. Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 4*j**2 + 3*j. Let u be q(-4). What is the units digit of (-3)\/(-3 + 536\/u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 85 + (30\/18)\/1*-3. Let w(b) = 3*b + 4. Let d be 9\/2 + (-2)\/4. Let a be w(d). Calculate the highest common factor of a and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2667081?\nAnswer: 3, 889027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Suppose p - u + 22 = 0. Round p to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 2*f. Let n be 14\/(-21) + 11\/f. What is the highest common divisor of 33 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/115 and -52\/575.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = 3*w. Let s(z) = z**2 + 10*z + 15. Let u be s(-8). What is the smallest value in w, -2\/13, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5839 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/600 and 53\/180.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8509345?\nAnswer: 5, 13, 31, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*8*(-290)\/1200.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let d(p) = -224 + 224 - 43*p**2. What is k(d(h))?\nAnswer: -43*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, h: 1, i: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 0 - 18*n + 0*n**2 + 8\/3*n**4 + 13\/6*n**3. What is the second derivative of c(y) wrt y?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {m: 2, f: 1, i: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 65490 take away -3?\nAnswer: 65493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*h + 57. Solve i - f - 3 = 2*i, 0 = 4*i - 3*f + h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*i**2*q + 17*i*q**2*w**2 - 2*q**2*w - 2*q**2 + 5*q*w**2 - 187*q with respect to i.\nAnswer: -74*i*q + 17*q**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000780878 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 4810?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 60*y - 3. Let a be r(2). Calculate the greatest common divisor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 49*d + 39.\nAnswer: -(d - 13)*(4*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 12 = v - 4*v, -3*i = 3*v + 12. Let o(n) be the first derivative of i + n - n**2 - n - 1. Let j(p) = 3*p**2. Give j(o(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*r = r + 14, 3*r = -3*g + 15. Let p(c) = -2*c**3 - 1 + c - 282*c**2 + 282*c**g. What are the prime factors of p(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 3. Let l(v) = 12*v**2 + 16*v - 51. Let c(z) = -l(z) + 5*q(z). Factor c(f).\nAnswer: -2*(f - 3)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i + 1. Let l(d) be the second derivative of d**3\/6 + d**2\/2 - 71*d. Calculate 3*l(a) - q(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3159 + 10100. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-2 - 15\/(-6))*-3). Suppose 2*k + 15 = -k, -k + 453 = t*l. Suppose 11*o - 387 = l. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 526.341.\nAnswer: 52.6341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 0)\/(80\/87600). Let w = -890 + k. What are the prime factors of w?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**3 + r**2 - 9*r + 3. Let w(v) = -18*v**3 + 4*v**2 - 46*v + 14. Let b(d) = 28*a(d) - 6*w(d). Factor b(m).\nAnswer: -4*m*(m - 3)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 2*k + 6. Let z be g(0). Suppose -4*b + z = -b. What is the remainder when 70 is divided by 36\/(b\/(4\/3))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1252 = 42*w - 1184. What is the highest common divisor of w and 1247?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57068 is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 27\/2*c**2 + 27\/20*c**5 + 6*c + 29\/2*c**3 - 62 + 117\/16*c**4. Suppose o(v) = 0. Calculate v.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52.1 + -52. Let x = -5.9 - p. Let a = x - -2. What is the third biggest value in 0, 23, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, y: 2, s: 9, g: 1, u: 3}. What is prob of sequence ysuy?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211010100 - -11110012?\nAnswer: 222120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - w**2 + 14*w - 13. What is the units digit of i(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, -2, 0, -11, -5, 1.\nAnswer: -11, -5, -2, 0, 1, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -498515*w**3 + 2228*w. Let r(p) = 1119*p**3 - 5*p. Determine -2228*r(a) - 5*v(a).\nAnswer: -557*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 4*o + 5*o)*(-44 + 501216*o - 501213*o - 63) to c*o + v + b*o**2 and give c.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.21258949 times 0.1\nAnswer: 0.021258949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -144928*m**4 - 118077 wrt m.\nAnswer: -579712*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**4\/4 + 4*g**3 - g**2\/2 - 13*g - 61. Determine v(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8\/20 + 11\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -66, -99, -158, -249?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10580, -10579, -10568, -10541, -10492, -10415, -10304?\nAnswer: -10153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 4 + 12. Let c(o) = -82026*o**3 - o**2 - 5*o - 6. Let y be c(-4). Suppose u*t - 1649662 = -y. What is t rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 31 + 95 - 46 + 1497*l**2.\nAnswer: 1497*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (42718*l - 42718*l - 182*l**2)*(3*l - 5*l + 4*l) as c + o*l**3 + y*l**2 + r*l and give o.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1181 divide 26171116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/8)\/(297\/264). What is the biggest value in b, 1, -3\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 202.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-5 - (4 - (3 + -1))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708 - 13111?\nAnswer: -10403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, -0.143, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239*y + 9 + 2*y**3 + 271*y - 13 + 2*y**2 to a*y**2 + o*y**3 + h*y + x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8991 and 972.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w + 14 = 3*y, -4*w = 8. Is 24 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o**2 - 4*o + 4. What is the remainder when s(1) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 - 5*b + 9. Let i(c) = -1 - 5*c + 5*c + c - c**2. Let q be (0 + -1 - -2)\/1. Let m(n) = q*f(n) + 5*i(n). Differentiate m(g) wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*y - 667, -3*y - 2*y = 3*m - 1957. Suppose 5*j - 3247 = -2*b, b = -j + 969 + m. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 5*k - 20, -21 = -2*y + 5*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.7552 seconds to milliseconds.\nAnswer: 22755.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 873 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 2219127 - 2*t + 0*t.\nAnswer: -3*t - 2219127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a + 68395?\nAnswer: 68378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3905 and 2504755.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4.2 (b) 5\/4 (c) 3 (d) 1 (e) 5 (f) -206 (g) -1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46320054 to the nearest integer?\nAnswer: 6806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7135295 by -1.\nAnswer: -7135295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 343?\nAnswer: 20580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 0*y - 7 + 3\/2*y**2. Let u(f) = -7 + 7 + 3*f. What is u(w(o))?\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**7\/630 - l**6\/45 - 2*l**5\/15 - 4*l**4\/9 + l**3\/2 - 25*l. Let w(t) be the second derivative of p(t). Factor w(y).\nAnswer: -4*(y + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 2*i + 3. Let b be k(3). Let h(n) = 2*n + 8. What is the remainder when 57 - 2 - 12\/(-4) is divided by h(b)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 20?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sugvgvsgervegvvgvg. What is prob of sequence egr?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1045.8898 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13*t**2 - 3. Let b(p) = 376*p**2 - 88. Let i(y) = -6*b(y) + 176*n(y). Let r(o) = o**2. Give r(i(a)).\nAnswer: 1024*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2025 and 486.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18\/11 - 112\/55. Let m(r) = r**3 - 10*r**2. Let h be m(10). Let v = -5 + 3. Which is the second smallest value? (a) h (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 3*x + 191, 726*h - 3*x - 4 = 726*h + 2 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.955 to 1 dp.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 1. Let r(x) = 3*x - 2. Let p(o) = 6*k(o) + 3*r(o). Let f(c) = -2*c**2. What is f(p(w))?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4715 is divided by 71?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2*n + 16 = 0, 28*j - 26*j + 19 = -5*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + 89*q - 1286 = -519 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 + r - 1. Let p = -9 + 10. Give t(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - -24 - 26)*(-2)\/((-184)\/10). Which is the nearest to -5? (a) r (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5807 and 66379.532.\nAnswer: 60572.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/78 and -34\/117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 351*x**2 + 260*x - 65. Let d(w) = 11*w**2 + 8*w - 2. Let r be 28\/(-6)*((-144)\/56)\/6. Let o(f) = r*a(f) - 65*d(f). Let i(c) = 5*c. What is o(i(h))?\nAnswer: -325*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156696 is divided by 426.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r**2 - 4*r - 23. Let y be j(-6). Let k = y - 30. Suppose -2*p + k = 4*o + p, -3*o - 3*p = -138. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 55. Which is the second biggest value? (a) -2\/9 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7891*h**2 - 1228*h**2 + 20764*h**2.\nAnswer: 27427*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97060 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-16)\/6)*99\/(745767\/(-372)).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -315*r**5 + 1 - 211*r + 287*r + 199*r wrt r.\nAnswer: -6300*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 28\/11, -4, -1\/3, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 0 + 178*l + 6 - 36*l**2 - 169*l. Let d be p(-8). Round d to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Suppose -3*d + 24 = -c*d. 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: Let o be 302 + (-1 - 0)\/(-1). Suppose b = 2*b + o. Is 8 a factor of b\/(-12) - (-2)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 divided by -4?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2246*k**3 + k**2 - 3*k**2 - 2249*k**3)*(k**2 - 6*k**2 - k**2).\nAnswer: 18*k**5 + 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 2*g**2 + 5*g + 2. Let z be j(-2). Does 21 divide 6\/4*(40 + z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 9 (b) -1\/8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2) + 72\/48. Let h be w\/(-10) + (-160)\/(-50). Solve k - h = 2*c, 6*k - k = -5*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/5 - -7)*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 21. Let r be (-3)\/(n\/(-12)) + -16. What is the hundreds digit of 3729\/21 - r\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = 6. Let a be 9\/q*-8*3. Suppose 3*y - 12 = a. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/7))\/w*w*w**4\/w*w*w**(-3\/2)*(w*w**(-18))\/w assuming w is positive.\nAnswer: w**(-201\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12453 divided by 3\nAnswer: 4151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-3\/8)*q\/q**(2\/7)*(q**(1\/2)\/q)\/q*(q*q*q**(-3\/2)\/q*q*q*q)\/q assuming q is positive.\nAnswer: q**(117\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 7*l - 4. Suppose -4*s + 46 = -5*f, -4*f = -6*s + s + 44. Let u be a(f). Suppose 5 = u*c - 3*c. Sort 5, c, -2 in increasing order.\nAnswer: c, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 43*p - 1394. Give y(35).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*v + 5, -2*g + 4*v = 25 - 27. Which is greater: g or -2\/32261?\nAnswer: g","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: Solve 0 = -2039*p + 2035*p - 2*h + 54, 0 = 6*p + 4*h - 78 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15836 (base 9) in base 16?\nAnswer: 2a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + -36. Suppose -14 - b = -3*z. Let a = z + -6. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*m + 3)*(5 - 4 + 5)*(-392 - 1655 - 303 + 414 - 798) as g + a*m and give a.\nAnswer: 32808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from {t: 1, x: 18}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 4, m: 3, v: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + 3*v - 10*v + 1 - 2*v + 6*v - 2*v + (0 - 1 - 1)*(2 - 2 - 2*v) + 2*v + v - 2*v.\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 577\/3333 - -7\/101. Let x(s) be the first derivative of -3\/11*s**2 + g*s**3 + 6 + 0*s - 1\/22*s**4. Determine z, given that x(z) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3984 in -0.1, 2, 1.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4984.196 decades to years.\nAnswer: 49841.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6*i - 2126 = 0, 3*w - 1266 = -27*i + 29*i. Solve -w*c + 20 = -413*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-294))\/((4\/(-12))\/1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1235, -1269, -1303?\nAnswer: -1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3939178771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19926730 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/9 - -4\/9. What is the closest to -0.1 in 4, a, -4\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*h + 9. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + 0 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from atenuvt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 - 250*u - 5822. Determine j(145).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 3:52 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(6)\/(sqrt(10)\/sqrt(5) + sqrt(2) - sqrt(2)) - sqrt(3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/419 and -17\/5?\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-36)*(-3)\/1. Let r be (-6)\/((-1)\/(-1)) - (-16)\/16. Sort r, 4, b, 9 in ascending order.\nAnswer: r, b, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 20*m**2 - 13*m. Let r(s) = -5*s**2 + 3*s. Calculate -6*p(c) - 26*r(c).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898201.\nAnswer: 389, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/430 and -143\/51170.\nAnswer: 51170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:36 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**6\/60 + i**4\/6 + 107*i**3\/6 + 12*i**2 - 2*i. Find the first derivative of n(b) wrt b.\nAnswer: -6*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1\/8, -2, -10, 0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**5 - 332*n**4 - 8336*n**3 - 55696*n**2 + 33408*n + 228096 = 0.\nAnswer: -36, -11, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -88 + 33. Solve -u = -4*j + o, -4*u - 3*j + 4 = -7*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*j + 4*v, 26*j + v + 25 = 31*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 7:45 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppoo when four letters picked without replacement from {p: 4, o: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - h + 2)*(6*h + 6*h - 2*h)*(h - 2 + 2).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-66)*(91\/(-78) + 1)*2\/6?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 733?\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1352 rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 1. Let i(m) = 27*m + 5. Let f(v) = -i(v) + 6*r(v). What is the remainder when 43 is divided by f(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpp when three letters picked without replacement from mmpvvmvmvpvmmvvvmp.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82524851329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 9*j**2 + 11*j + 18. Let m be l(-8). Is 20 a factor of -4 - m - (-2 + -16*16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**2 - 7*p = 0.\nAnswer: 0, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l. Suppose -4*j - f = f + 16, -4*j - 5*f - 4 = 0. Let m be i(j). Let w be 1*(187 + 2)*6\/7. What is the highest common factor of m and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16220\/3 - 5678. Let p = -271 - o. Which is the second smallest value? (a) p (b) 6 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -19, -1\/3, 0.0185?\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5.0363. Round q to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:35 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 88652246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 86 = -v, 2*v + 33*d - 28*d = -109 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3 = -3*x - y, -4*y = -x - 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2776 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.08?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2838147974 to the power of 1\/2, to the nearest integer?\nAnswer: 53274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -15\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 40 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*u + 39*u - 73*u - 644 = 0 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50095 is divided by 170?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1822923*c**2*d**2*n**2 + 2*c**2*d*n**2 - c*d*n**2 - 267997*d*n wrt d?\nAnswer: 3645846*c**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 21586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4465441, -17861804, -40189077, -71447260, -111636353, -160756356, -218807269?\nAnswer: -285789092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -385 - -2?\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 83 in -2\/7, 4, 4\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3532?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -237.\nAnswer: -1\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 3*g + 3. Suppose k - 104 + 106 = 0. Let d be 1 + 5 + k + -6. Calculate r(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w**4\/11 + 1198*w**3\/11 - 39332*w**2\/11 + 451240*w\/11 - 1717200\/11 = 0. What is w?\nAnswer: 10, 53\/3, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/924 and 19\/2604.\nAnswer: 28644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wiwciziwdiwzywdww. What is prob of sequence ziwz?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*f + 9335 = 2111 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9197 + -9141. Let r(t) = 7*t**2 + 6*t - 1. Let h be r(-5). Suppose -w - h = -8*x. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -472, -942, -1412, -1882?\n\"Answer: -470*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 5*g + 7. Let x be z(6). Let v(c) = -13*c**2 + 4*c - 11*c**2 - x + 25*c**2. Give v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**6\/72 + 20*o**5\/3 - 4000*o**4\/3 + 3*o**3\/2 - o**2 + o - 66. Let d(v) be the second derivative of m(v). Factor d(u).\nAnswer: -5*(u - 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3163 + -3167. Sort 6, -3, h, -5, -21 in descending order.\nAnswer: 6, -3, h, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - 1011100111010110110110010?\nAnswer: -1011100111010110110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7418, 7631, 7844, 8057, 8270, 8483?\nAnswer: 8696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2814, -497, -9930, -25485, -47162, -74961, -108882?\nAnswer: -148925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + m**2 - 7*m. Let p(s) = -124*s**3 - 5888*s**2 - 4600*s - 928. Let d(n) = -8*i(n) - p(n). Determine c so that d(c) = 0.\nAnswer: -58, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141 + -101 + -26 + 2 - 37?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a - 2\/9*a**2 + 2\/9.\nAnswer: -2*(a - 1)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/52 - 47565\/(-2275). Which is greater: q or 20?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v = -5*d - 2806, 2*v = 4*d + 2802. Suppose -5*n + 3*m + 1396 = 0, -3*n - 2*n + 4*m + v = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833 and 126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - h**2 - 2*h + 1. Let y be r(-3). Determine a, given that -95*a - 32*a**2 - 25*a**2 + y*a**2 - 90 = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8901824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10043757 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 6:23 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1699, -1680, -1647, -1600, -1539?\n\"Answer: 7*y**2 - 2*y - 1704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7380 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63a3 (base 11) in base 5?\nAnswer: 232322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/(-10))\/4)\/(78\/48)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96.5 - 97. Which is the fourth biggest value? (a) r (b) -19 (c) 0.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68062 (base 9) to base 10\nAnswer: -45254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, l: 6}. Give prob of picking 2 l.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4792 - 6086 = 8517*n - 8246*n + 8092 for n.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17646108, -17646098, -17646078, -17646042, -17645984, -17645898, -17645778?\nAnswer: -17645618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -4 (b) 3\/16 (c) 0.01 (d) 0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155136 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -294.259 + 294. Let u = 245.259 + h. Let w = u + -231.1. Round w to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1078 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 6) + -9 + 22?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k\/(k*k**(1\/12)))*k**(-13)*k**12\/k**(2\/37) assuming k is positive.\nAnswer: k**(-431\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -7 in descending order.\nAnswer: 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -268\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 789*p**2 - 1. Let r(u) = -u + 174. Let f(g) = g - 58. Let n(x) = -3*f(x) - r(x). Determine n(i(q)).\nAnswer: -1578*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2942 * 0.3.\nAnswer: -882.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -3)*-1 + -4.\nAnswer: -9*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6760 divided by 1690?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 9440*w**2 - 8679*w**2 + 2*w.\nAnswer: 761*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 956016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/15, 528, -1, -3, -2, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i**3 - i + 2. Let f be x(2). Let b = -1230 - -1235. Suppose 162 = 4*k + w - f, -3*k + 167 = b*w. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/2 + 15029*b**3 + 225720501*b**2\/2 - 1129729930*b + 2825264450 = 0.\nAnswer: -15034, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 12. Let x be 30 + (-1 - -2)*m. Suppose -6*h + x = -3. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-45)\/6))\/(17\/50184*48)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 22*x - 124. Let u be o(6). Let h(i) = -3*i + 8. Let q(y) = 5*y - 13. Let a(b) = u*h(b) + 5*q(b). What is a(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 0. Suppose 3*b + 14 = 5, -m + 2*b + 21 = 0. Calculate the remainder when m is divided by o\/4 + 51\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -16*w**3 + 2*w**2 - 2*w + 1. Give k(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.5 (b) 5 (c) -4 (d) -1.2 (e) -2017 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 6\/344149777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1267 and 1268 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let h be (6\/3 + 0)\/2. Let u(z) = 15*z - h + 1 + 0. Let m(o) = 8*o. Let n(l) = 7*m(l) - 4*u(l). Determine a(n(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.694851kg in nanograms?\nAnswer: 9694851000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 - -4?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5907 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1129, -1237, -1633, -2461, -3865, -5989, -8977?\nAnswer: -12973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 6.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*k - 5*u, -k - 37 = -4*k - 2*u. What is the highest common factor of k and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1147 - -1168 - (3 - 0)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 19750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/3))\/(s*((s**(-8)\/s)\/s)\/s)*(s\/((s*s\/((s**(-1)*s)\/s)*s*s)\/s*s))**38 assuming s is positive.\nAnswer: s**(-421\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by ((-6)\/(-8))\/(5*(-10)\/(-3400)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 8:11 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 0*x + 5*x)*(-4 - 1 + 6)*(-3 + 0 - 2).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 7, 5, 3, 484 in increasing order.\nAnswer: 3, 5, 7, 19, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1044 and 67\/6612.\nAnswer: 19836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w\/w**(1\/3)*w**6\/w*(w**(1\/4)\/w)**(-21) assuming w is positive.\nAnswer: w**(281\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 809 divide 1768326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*n + 14. Let v = 14 + n. Let u = v - -10. Calculate the remainder when 17 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 2770 = -4*t - 7*a, 0 = a - 2. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-606)\/707)\/((-16)\/(-14)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((-8)\/(-672)*14)*(-8)\/168?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 2*n + 3 + 8\/15*n**6 + 0*n**5 - 59*n**2 + 0*n**4 + 0*n**3. Differentiate c(t) with respect to t.\nAnswer: 64*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b = -66 + 276. Solve z - 3*u + 1 = -2*u, -2*u = b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from sffssfss.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 15*s**2 + 13*s + 32. Let u be k(14). Suppose -3 + u = 3*x. Suppose 5*m = -j + 1114 + 141, -3*m + x*j = -753. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from {f: 7, l: 3, d: 9}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + -2 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2856 by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/4279763 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -23*j**2 - 113*j + 7. Let g(i) = -19*i**2 - 114*i + 6. Calculate 5*g(v) - 4*n(v).\nAnswer: -3*v**2 - 118*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 9. Let u be r(0). Suppose -u*d = -4*d - 5. Suppose d + 1 = a. Solve 4*v - 22 = -a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -4, 4, 5, 0.4, -20883?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -21*w. Let d(p) = p - 2. Let m(r) = -r - 12. Let u(n) = 6*d(n) - m(n). Give g(u(o)).\nAnswer: -147*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(102)\/(sqrt(726)*-1) + 5 + -6*(sqrt(17) + 0 + 2 + -6*(sqrt(17) - (sqrt(17) + 1)**2)).\nAnswer: -655 - 467*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.234 = -180\/1811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.09, -7\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(10\/(-8))*10. Let q(h) = -127*h - 11 - 134*h - 142*h + 404*h. Give q(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3869696g in tonnes?\nAnswer: 0.0000003869696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2816, -12, 31, 4.\nAnswer: -2816, -12, -1, 3, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -78*0.0908715\nAnswer: -7.087977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**3 + 8*c**3 - 2*c**4 + 9 - c**2 - 20*c**3 + 4*c**4 to the form v*c**3 + w*c + n*c**4 + m + g*c**2 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 819*f**3 - 211*f**3 + 1209*f**3.\nAnswer: 1817*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1988*p + 552. Does 12 divide b(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 875? (a) 15.9 (b) 0.02 (c) -2\/11 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1603796 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a kilometer in meters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - m - 2061, -2*m - 1 = 1. List the prime factors of o.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q**3 + 7*q**3 + 50*q - 2 - 4*q**4 - 40*q to u*q + j*q**2 + d*q**3 + z + n*q**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -112\/3. Let q be (-28)\/45 + 6\/27. Is q < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 52, 88, 160, 280?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -14. Let u be 4\/(-8)*(-1 - -1). Suppose u = 4*m - 269 - 11. Calculate the greatest common factor of m and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 20 = -3*z. Let a be 4 + (-3100002 - (z - 2)). Round a to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 + 4*r**2 + 3*r**2 + (4*r - r - r)*(5*r - 6*r + 3*r) + 3*r**2 - r**2 + 0*r**2 + 114*r**2 - 12*r**2 + 115*r**2 to m*r**2 + f*r + i and give m.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 - 1285\/7. Let o = -4044\/22363 + -2\/2033. Put 2\/13, -1, o, u in increasing order.\nAnswer: -1, o, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**3 - 4*j + 5. Calculate r(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdbh when four letters picked without replacement from hbbxhbdbtbhhw?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 26*d**2 - 112*d - 886. Calculate s(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 232\/(-174)*8\/24?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(2 - 5)\/(-3). Let j be k\/(-2) + 15\/10. Let g(t) = 2*t**3 - 3*t**2 + 4*t - 3. Let p be g(2). Calculate the greatest common divisor of p and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387586 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*t + 698885 = -185*t + 2711096. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -676, -1293, -2116, -3145, -4380?\nAnswer: -5821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 326080 and 1637440?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9653 - -9655. Solve -f*z + 17 = -c + 9, z + 1 = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*i + 5*f - 20, -4*i - 5*f + 29 = 0. Suppose -16*z = -174 + 238. What is the nearest to 8 in -2, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 2*a - 4*a)*(-1 - 4*a + 1)*(15 - 4 + 2) to i*a + t + n*a**2 and give n.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1 + 136\/(-17). Let b(j) = -2*j - 8. Calculate the smallest common multiple of 20 and b(q).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.2. Let x = -0.01 - -0.11. What is the smallest value in 1, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*g - 19*g + 720. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 24935*i + 172. What is the hundreds digit of n(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/575, 0, -3.6?\nAnswer: -1\/575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(t**5 + 0 + 0) + (2*t - 2*t + 2*t**4)*(325*t - 78*t - 38*t).\nAnswer: 416*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234400 is divided by 13012.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4\/4 - 9735*h**3\/4 + 764775*h**2 - 70104000*h + 1115520000 = 0.\nAnswer: 20, 160, 2905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3739, 3564, 3389, 3214?\nAnswer: 3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2677144?\nAnswer: 2, 334643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 9, 0.5, 2\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.45 at least as big as -136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12479715 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 130\/(-325)*35\/28. Which is the closest to -3? (a) -1 (b) 4\/21 (c) w (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2 - 6446*r = 0 for r.\nAnswer: -3223, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1051*d**2*h**3 + 164*d**2*h**2 + 3*d**2*h + 3*d**2*z - 2*d*h**2*z - d*h*z + 104*h*z - 205*z wrt h?\nAnswer: 6306*d**2*h + 328*d**2 - 4*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864440186?\nAnswer: 2, 83, 5207471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227*((-12)\/(-78) - (-241)\/39) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10 and 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 7 = -f + 4, -872 = -4*k - 85*f - 532*f - 263 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 112\/5. Let p = 0.44 - 0.4. What is the nearest to 0.2 in p, w, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11879960 to the nearest one hundred thousand.\nAnswer: -11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 612431 and 0.\nAnswer: 612431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -15. What is the first derivative of 19*q**3 - q**a - 22*q**3 + 13 + q**2 wrt q?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 23*w + 130. Let i be z(10). Which is the closest to i? (a) -2 (b) 6 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2768156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 11819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-6)*(-7)\/(-14)*3. Is (4\/6)\/(s\/122535*6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/((-32)\/(-128))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 823*h - 407*h - 332 - 413*h as d*h + o and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14441\/22 - 655. Find the common denominator of w and 79\/58.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -381 + 254. Suppose -5*o = 7*n - 3*n - 1429, 2*n + 586 = 2*o. Let m = o + d. What is m rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/7829 - 477501\/266186. Find the common denominator of (-3038)\/(-924) - (-2)\/3 and p.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = i + 11. Let m(k) = 2*k + 8. Let b be m(-6). Put i, b, -2 in descending order.\nAnswer: i, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3549744.\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + sqrt(68) + sqrt(68)*-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 4830.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*a = -147480, 2*u - 4*a = a + 73724. Suppose 2836 = -4*h + u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*o + 1. Let t = 0 + o. Suppose -4*j + 4*f + 278 = j, -4*j = -t*f - 223. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1781775 and 930.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*b - 5*p - 24, -4*b + 3*p = -35. Suppose -r = -2*r - b. Let i = 0 - r. Solve i*j - 4 - 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 16 = 13*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -506 + 509. Is 69 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -306 - -310. Suppose 2*p - 3*p = -2*d - 4, 5*p - 3*d - 6 = 0. Solve b*c - 14 - 6 = p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 0 + sqrt(112) - sqrt(112))*5 + -1*(sqrt(112) + -2))**2.\nAnswer: 64*sqrt(7) + 1796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:36 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - 18 = -23*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 7. Put b, 5\/3, 0 in ascending order.\nAnswer: b, 0, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 1, b: 2}. What is prob of sequence bbt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3720 or 1291040\/347?\nAnswer: 1291040\/347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.62688135 to 2 decimal places.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109 + 68. Let f = -36 - p. Let z = f - 1. Solve -2*n - z - 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 297 and 22.76039068322.\nAnswer: 319.76039068322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14362891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {o: 2, w: 1, e: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 218.3 + -218. Let v = -1\/24 + -11\/24. Let r = 23 - 19. Which is the nearest to v? (a) r (b) 2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -113211 + -35?\nAnswer: -113246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -264\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039991 to 4 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-342)\/(-304))\/((-6)\/(-32)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -28 - 94 - -11) + 19?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 2 = -22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -35. What is x rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02305 rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 105751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10)**(-37)*(q**21\/q)\/(q\/((q*q**17*q)\/q)) assuming q is positive.\nAnswer: q**(-333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*t**6*v**2 - 16*t**3*v**3 + 4*t**2*v + 1117*t*v**3 wrt t?\nAnswer: 2160*t**3*v**2 - 96*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2\/2 + 3049083*m + 9296907140889\/2 = 0. Calculate m.\nAnswer: -3049083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 7. Let l be j(0). Let n(y) = 3*y**2 - 18*y + 15. What are the prime factors of n(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1268 + 1270. Let x be (c\/(-15))\/(8*(-9)\/756). Factor x*s - 1\/5*s**2 - 2\/5 - 2*s**3.\nAnswer: -(s + 1)*(2*s - 1)*(5*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 347798 + -166248. What is z rounded to the nearest one thousand?\nAnswer: 182000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94194 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35508501.\nAnswer: 3, 7, 41, 59, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91401906?\nAnswer: 2, 3, 1033, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 268390986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4304 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -27376\nAnswer: -7\/27376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from piiciidfi.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*o + 4*p = 172*o + 24, -6 = 2*o - p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2 = -b, -45*s + b = -49*s - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 36*g**3 + 20*g**2 + 18*g - 214. What is the hundreds digit of x(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 748007, 748008, 748009, 748010, 748011?\nAnswer: 748012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + t**2 + 3*t - 16. Determine j(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + (-2 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101365930 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*j + 11, -n + 3*j + 12 = 2*n. Let d = -16 + n. Is 156 + 1 + (d - -7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16f9bb (base 16) to base 11.\nAnswer: -9392aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-3*sqrt(720) - sqrt(720) - sqrt(720)) + 3 + -1 + sqrt(720) + sqrt(720)*3 + sqrt(720))*2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92766511.\nAnswer: 37, 2507203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -8, -1, -13, 4, 222, 5 in increasing order.\nAnswer: -13, -8, -6, -1, 4, 5, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2464626 >= -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g - 45. Let r be x(-19). Let l(f) = 2*f - 22. Let q be l(r). Suppose 3*m - 6 = -3. Solve q*i - 7 = a, -2*a = 3*i + m + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**3 - 4*z**2 - 4*z - 3. Suppose 5*t - 3*i - 59 = -12, 5*i + 20 = 0. Let k(p) = -5*p**3 + 7*p**2 + 7*p + 6. Determine t*r(q) + 4*k(q).\nAnswer: q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 8) in base 15?\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n**4 + 53*n**3 - 443*n**2 + 1507*n - 1868. Let b(m) = 3*m**4 - 18*m**3 + 148*m**2 - 502*m + 623. Let l(t) = 21*b(t) + 6*q(t). Factor l(j).\nAnswer: 3*(j - 5)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3151395221 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -43. Let l = -833792564.00000017 - -833792581. Let v = c - l. What is v rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(18\/13))\/o)**(-11)*o**(17\/6)\/(o\/((o\/(o*o\/o**37*o*o))\/o)) assuming o is positive.\nAnswer: o**(1529\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3751 + 3686. Let n be (18\/4)\/(1\/(-10)). Let w = n - y. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 83 + 1850?\nAnswer: 18d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8\/5)\/(m*m*m\/m**1))\/(m**5\/m)**(-21) assuming m is positive.\nAnswer: m**(402\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -107082 at most as big as -107064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*c**5 - 58278*c**2 - 21835326*c.\nAnswer: -320*c**3 - 116556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97934564?\nAnswer: 2, 7, 13, 43, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -282 - -318. Suppose -150*u = -140*u - 1330. What is the remainder when u is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 2 = 0. Let g be (-3 + t)*1\/11. What is the third biggest value in -1, 0.1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:22 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -30*f**2 + 60*f + 60. Let a(u) = -u**2 + u + 1. Calculate -60*a(j) + t(j).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8198*-0.5.\nAnswer: -4099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*h = -509*h - 66 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10169 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 10*r**2 - r - 11. Let j be v(-10). Sort 4, j, 2 in ascending order.\nAnswer: j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -644, -1206, -1764, -2318, -2868, -3414?\nAnswer: -3956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*c + 4*u, -2*u + 9 = -2*c - 7*u. Solve 4*o - c*a + 14 = 45, -2*a = o + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7 - 3*b + 1 + 40*b**2 + 0 + 8*b. Let g be k(2). Let y = g - 90. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, -0.4, -3, -15\/2, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 420419728 a multiple of 10241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + (-4)\/(108\/(-15)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 107, 221, 379, 581, 827, 1117?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 123*x**2 - 7*x + 15. Is v(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1096, 1147, 1198, 1249, 1300, 1351?\nAnswer: 1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102521 is divided by 84809.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 9. Let s be z(6). Suppose w = -s + 1. Put w, 3, -3 in decreasing order.\nAnswer: 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (615\/84 + -7)*196\/(-56)\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 14.956. Round d to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 3*n = 3*i + 24, -2*i = -2*n + 2. Suppose -3*z = 5*m - 13, -2*z = m - 3*z - 1. Let u be (-10)\/5 + m + i. Which is smaller: u or 7\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -2, -0.5, 17\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 504026521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*z - 5 = 0, 15*z - 9 = w + 11*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/(-115) + 0 + 1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 2:29 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 8460*n**2 + 167700*n - 836000.\nAnswer: 5*(n - 1672)*(n - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.583 + -0.234. Let u = 1.349 - l. Put 0, 3, -1\/6, u in decreasing order.\nAnswer: 3, u, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/135)\/(11\/(-99))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 5*r**2 - r + 7. Let n be p(-5). Let k = 703 + -1439. Let j = k + 735. Sort 5, j, n in increasing order.\nAnswer: j, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.212126254806 + -0.48?\nAnswer: 0.732126254806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j**2 - j. Let r be q(1). Suppose -u + 4*u - 230 = r*t, -3*t + 6 = 0. Suppose u = 4*w + 16. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 23 = -2*s. Suppose -5*v = -2*r + 4*r - s, -r = -5*v + 15. Suppose -1707 = -821*i + 756. Solve -i*y + r*y - 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -74*b + 45. Calculate the remainder when y(-3) is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39842 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u + 101. Let s be k(-20). Which is smaller: s or -1\/91?\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 42*b + 336 = 0. Solve -7*k + 5 = -2*k - 5*j, -2*k - 3*j = -b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 25*n + 3*n = 0. Solve n = -27*g + 25*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 2*y + 4. Let h be j(-3). Suppose 3*r - 7 = -h. Suppose w - 33 = -r*w. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 4*q**3 - 3*q**2 + (-4*q**2 + 6*q**2 - 4*q**2)*(3*q + q - 2*q) + q**3 + 0*q**3 + q**3 + 2*q**3 + q**3 - 4*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -8 (c) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1212847.315 * -0.5.\nAnswer: 606423.6575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -68 (b) -5 (c) 1 (d) -19 (e) -16 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21 - (-1494)\/(-36))\/(0 - -1). Is j less than or equal to -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 8*z**2 + 6*z - 3. Let y be m(-7). Let p be (-48)\/(-12) - 0\/3. Solve 0 = -5*x - l + y*l + 21, -4*x = -p*l - 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 8*y - 10. Let t be s(-4). Let r = 0.9 + -1. Which is the third biggest value? (a) t (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 - (1 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -610*y**2 - 818*y**3 + 14*y**5 + 2445*y**3 - 818*y**3 - 809*y**3 - 11*y**4 wrt y.\nAnswer: 840*y**2 - 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7175 - -10603. Suppose -16*v = -9484 - j. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 2*l - l. Suppose 2*x - 5 - l = 0. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-187)*2\/(-3)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003407 to 4 decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 7*u + 9. Let y be m(-6). Suppose -3*a - 2*z = -12, 4*z = -y*a + 3 + 15. Solve 0 = -a*k + 5*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**3 + 7*d**2 + 17*d + 43. Let r(n) = 5*n**3 + 4*n**2 + 10*n + 22. Give -7*r(l) + 4*s(l).\nAnswer: -3*l**3 - 2*l + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -4, -0.4, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/3)\/(40\/60). Suppose -w*r + l + 15 = 4, 0 = -5*r + l + 13. Calculate the greatest common divisor of r and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*k**2 + 1245 + 1308 - 313 - 375.\nAnswer: -33*k**2 + 1865","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + s - 1. Let o(m) = -3*m**2 - m + 3. Let f(k) = o(k) - 2*z(k). Let q = -32 + 27. Calculate f(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 - 2403*t**3 - 7188*t**2 - 4788*t.\nAnswer: -3*t*(t + 1)*(t + 2)*(t + 798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 65. Suppose 4*n - s*l - 25 = -2*l, -2*l - 22 = -4*n. Suppose 16 = -n*h + 128. What is the remainder when 80 is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + 5*3*sqrt(931)*2 + 5*(-1 + 1 + sqrt(931))*-4)**2.\nAnswer: -279348 - 1680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2871 = 9*o. Calculate the remainder when o is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1486501260 to the nearest 100000.\nAnswer: 1486500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w - 4*w + w**3 - 5*w - 1 in the form o*w + y + n*w**3 + l*w**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/((-5445)\/22))\/(1\/3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -94a58d + 2?\nAnswer: -94a58b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -241)*(3 + 335\/(-20)). Calculate the greatest common divisor of 231 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 0, 3*j + 4*r - 4 = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11*b + b**2 - 5 + 3 + 3 - 14*b. Give f(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 58, 117, 200, 307, 438, 593?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 + (-20)\/15. Suppose -4*z - 136 = -4*o, -40 = -2*o + 3*z + 29. Calculate the remainder when o is divided by 255\/10*a\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 + -2629995572.\nAnswer: -2629995671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56490 and 420.\nAnswer: 112980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/508403 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/30)\/((48\/20)\/(-3))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -302 (base 5) to base 12\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.450537ml in litres?\nAnswer: 0.006450537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37890.17 millimeters in micrometers?\nAnswer: 37890170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 46*b**2 - 311*b + 18. Let c be k(-38). What is the highest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**3\/3 + 4*m. Let n(d) = -d. Give a(n(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-18 - 4) + (-10 - -1) - 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 53\/4. Is z >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - 59) + -30 - -78?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 54?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843151?\nAnswer: 863, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -402660000 rounded to the nearest 1000000?\nAnswer: -403000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 12 = 9*x - 2*n, -3*x = -2*n - 16. Suppose -20 = -x*f - b, -f - 1 = 4*b - 6. Put -1, 3, f, -16 in ascending order.\nAnswer: -16, -1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*6\/7)\/((-107)\/59920*-40).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/8 - -23\/40. Suppose q = 4*q + 558. Calculate the common denominator of t and (q\/(-32))\/((-12)\/(-16)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 16*k**2 - 7*k**3 + 3 - 4*k**3 - 11*k**3.\nAnswer: -22*k**3 + 16*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(0*m + 2*m + 0*m) + (-2 + 4 - 3)*(-7*m + 2*m + 3*m) + 22 - 22 + 4*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6151 - -6155. Let s(g) be the first derivative of -v*g + 8\/3*g**3 - 7*g**2 - 9. Factor s(p).\nAnswer: 2*(p - 2)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1*(11\/1)\/143)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -122393040 divided by 210\nAnswer: -582824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b + 12*b - 6*b**2 - 4*b.\nAnswer: -6*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvuu when four letters picked without replacement from wuuwwwuwwvuwvvvwv.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15697 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 1. Let f(x) = -x**2 + 4*x + 10. Let o(j) = -1. Let n(m) = f(m) + 3*o(m). Let p be n(5). Calculate q(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 13050.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 1. Let x(c) = -2*c + 4. Let v(h) = b(h) + x(h). Let t be v(4). Is t at least as big as -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 22 - 26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 6:01 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*q - 15 - 70, -z = 5. Calculate the remainder when q is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + s**2 - 2*s**2. Let b(y) be the third derivative of 0 + 0*y**3 + 0*y - 1\/12*y**4 - y**2. Calculate o(b(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + 206*f**2 - 214*f + 1000. Give q(102).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 - 6*g - 1. Let r(q) = -2629*q**2 + 35*q + 7. Calculate 6*p(v) + r(v).\nAnswer: -2641*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/5)\/(-4)*(-2 + 95*(-7)\/(-70)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11550 - 6169. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1748580 and 16308.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 11 = -2*i + 3*i, 0 = -5*i - 3*t + 31. Suppose 4*h + i = 3*h. Let z(f) = f**3 + 8*f**2 - f + 3. List the prime factors of z(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103071 (base 8) to base 12.\nAnswer: -17a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/9, -0.2, -777, -5, 5?\nAnswer: -777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/3 + i**3\/2 + 3*i. Let g(u) be the first derivative of u**3\/3 + u**2\/2 + 6. Calculate 6*g(t) - 2*k(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 153846 + -153847. Let o be 3*(26\/6 - 1). Which is the third smallest value? (a) 3\/5 (b) y (c) o (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -8\/9 (c) 4 (d) 341.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0794 + -0.1163. Round p to 3 dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1302651 and 870.\nAnswer: 13026510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(180) - (-2*sqrt(180)*-4)**2) - (1 + sqrt(180)*2 - (1*sqrt(180) + 1 - sqrt(180)))**2.\nAnswer: -12244 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -465*i + 1. Let t be g(-1). What are the prime factors of (-4)\/22 + t\/22?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 228*u**2 - 6*u + 1072. Let r(n) = -91*n**2 + 3*n - 536. Determine 2*j(a) + 5*r(a).\nAnswer: a**2 + 3*a - 536","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11010001010001110000011 (base 2) to base 3\nAnswer: 110220101212022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/336 - (-2 + (1 - -1)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 1750\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 = -9*a - 279. Let f(s) = 4*s**a - 20*s**3 + 5*s - 2*s + 6*s**3 - 2 + 5*s**3 + 10*s**3. Determine f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1 - 3) + 40*(-41)\/(-410)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31187541*i*l**3 + 2*l**3 - 74*l**2 - 8*l + 662 wrt i.\nAnswer: -31187541*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -55. Let b = -12 + 7. Does b = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2751586*w**3 - w + 2751581*w**3 + w.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398706?\nAnswer: 2, 179, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**5 - 115*m**4 - 715*m**3 + 655*m**2 + 14220*m + 12960 = 0.\nAnswer: -9, -8, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*o**4 - 4*o**2 + 41*o.\nAnswer: -600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*(-120)\/16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**6\/30 + x**4\/8 - 371*x**3\/6 - 580*x**2. Differentiate k(d) with respect to d.\nAnswer: 12*d**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 3 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*h = -171*h - 3*n - 45, -5*h = -4*n + 55 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2 - 26*t - 20. Let o(b) = -b**2 + 5*b + 4. Let c(j) = 11*o(j) + 2*z(j). Let l be c(3). Suppose 2*x + 36 = l*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9118 = 25*f - 6207. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 181*p + 212. Let r(t) = 2*t + 1. Let l(d) = -n(d) - r(d). Differentiate l(j) with respect to j.\nAnswer: -183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667977*g + 459 = 668004*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*z - 8003, 2*h = -4*z + 3202 + 2112. List the prime factors of h.\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100111100101010011 + -100010?\nAnswer: -10100111100101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 123102169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10904*j - 192*j**2 - 198*j**2 + 10902*j - 194*j**2 - 193*j**2 - 197*j**2 + 972*j**2.\nAnswer: -2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 44*m + 4. What is the tens digit of b(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6\/673 + 9963\/14806. Let r = -13\/11 + m. Let l = 21.9 + -23. Are l and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Let x(n) = y + 0 + n + n. List the prime factors of x(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3867*k. Let m(s) = -702*s**2. Give d(m(z)).\nAnswer: -2714634*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 5:25 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 972, 1942, 2910, 3876, 4840, 5802, 6762?\nAnswer: 7720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1788 = 3*n, -3*n - 43*d + 42*d = -1788. Let z = 668 - n. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29402 - -29402.17. What is the closest to -1 in y, 1\/8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpbe when four letters picked without replacement from veqbbpbbb.\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11840 and 1560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -95, 0, -5, 1, -360 in decreasing order.\nAnswer: 5, 1, 0, -5, -95, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (350\/(2\/1))\/((-2)\/(-2)). Let m = x - 88. List the prime factors of m.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/5 and -113\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 0*n - 16 + 20*n**3 - 19\/2*n**2. What is the second derivative of l(z) wrt z?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/7)\/o**7*((o*o\/o**(-1)*o)\/o*o)**(-5\/4) assuming o is positive.\nAnswer: o**(-83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 29*a**5\/10 + a**4\/6 - 21*a**2\/2 + 9*a - 3. Find the third derivative of g(x) wrt x.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)\/(sqrt(45)\/sqrt(5)))\/sqrt(4) + (sqrt(1573) + 1 + sqrt(1573) - sqrt(1573))*-3.\nAnswer: -32*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -31*v + 476. Let h be z(15). Let l be (-15)\/20 - 1455\/(-4). Calculate the highest common divisor of l and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, -27, -108, -221?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 22*f - 12. Let q be l(13). What is the second derivative of -65*s**5 + 38 - 83*s**5 - 54 + q*s**5 + 3*s wrt s?\nAnswer: -2160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67395 (base 11) to base 14.\nAnswer: 27818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 8156476*w - 244697880.\nAnswer: 4*(w - 30)*(w + 2039149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16477 (base 11) to base 16.\nAnswer: 5a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*m - 885 - 71*m + 313 + 572.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104157013 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12330332?\nAnswer: 2, 7, 419, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - n + 34 = -20*o, 0 = 2*o - 2*n + 20. Let u(c) = -20*c**2 + 12. Let d(x) = -x**2 + 1. What is o*d(m) + u(m)?\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 2:50 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 7, x: 1, e: 2, d: 5, n: 1}. What is prob of picking 1 l and 1 e?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 411033 (base 6) in base 12?\nAnswer: 16a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16159176*r**2 - 3864262 with respect to r.\nAnswer: 32318352*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 47 - ((11 - -23) + -62 + -20)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 4 (b) -56 (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.932 + -382.932. Let x = 382.4 + v. Let y = 1 - 1.3. What is the nearest to x in y, -1\/13, -0.4?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3ad5 + -8b3?\nAnswer: -45a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -13*b**2 - 86*b - 48. Let o be v(-35). Let m = -352 - o. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 2*p. What is s(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/30 and -31\/229932?\nAnswer: 1149660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 845261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/5058 and -59\/7587.\nAnswer: 15174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.40004 centuries to months.\nAnswer: 78480.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 24155.009\nAnswer: -7246.5027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*b**4 - 42*b**4 - 19*b**4 - 3*b + 3*b - b**4 + (-b + 3*b + 0*b)*(4*b**3 + 4*b**3 - 6*b**3) + (3*b - 4*b + 3*b)*(b**3 + 0*b**2 + 0*b**2).\nAnswer: -125*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279386*w + 151209*w - 5*w**2 + 3*w**2.\nAnswer: -2*w**2 + 430595*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 7*m**2 + 4*m + 5. Let d be (-10)\/(-3)*(-3)\/2. Is x(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31322839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, t: 7, d: 5, h: 4, q: 1, x: 1}. What is prob of sequence tht?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/14 (c) -0.1 (d) -4 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2544138 and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -58, -2 in increasing order.\nAnswer: -58, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 + 3*h**2 - 4*h**2 + 6*h + 0*h**2 to the form z*h**2 + c*h + n and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 13, -27 in decreasing order.\nAnswer: 13, 2, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38257\/27 + -1417. Which is smaller: l or 4.9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 48. Let c = m - -111. Calculate the highest common divisor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260106404.\nAnswer: 2, 53, 593, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1560747 rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 8 = -f + 5*f, 0 = 5*f - 3*b + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*i - 256*i + 5*r - 196 = 0, -8*i - 5*r + 198 = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/6*((-34)\/(-17))\/(-54)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-10)\/(-35))\/(-4 - (-356)\/91)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - -6.89. Let u = -0.7 + -2.3. Let x = v + u. What is the biggest value in x, -5, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -212 in -25, 0, 14, 0.2, 1\/3?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 50711920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 343043 and 221969?\nAnswer: 3773473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 8:56 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 7*n**2 + 8*n + 5. Suppose -2*o + 4*d = -0*d + 4, 0 = 4*o + 5*d - 57. Determine y(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*l + 1, -5*l + 3*p + 7 + 18 = 0. List the prime factors of (l\/(-8))\/((-9)\/1908).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 46. Let y = r - 22. Let n = 215\/7 - 31. Which is the biggest value? (a) n (b) y (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*n**4 - 42110*n**3 - 43565*n**2 - 1050*n = 0.\nAnswer: -1, -2\/81, 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + sqrt(891) + 1 + -4 + (sqrt(891) - (sqrt(891) - (sqrt(891)*2 + -4))**2 - sqrt(891)) + -4 + 5.\nAnswer: -908 + 81*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {d: 2, n: 1, z: 10, s: 7}.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuyf when four letters picked without replacement from yfyywfuywufywwuewyy?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n**2 + 46*n + 151. What is i(-3)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from kgtxk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186*i - 239*i + 539*i - 231*i + 847*i + 1238*i)*(-5 - 6*i**3 + 5).\nAnswer: -11808*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + -4 + -11 + 6 - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -12*k**2 + 26*k - 47. Let u be y(6). Let i = 323 + u. Solve i = 4*t - 4*x - 16, -3*t + 4*x + 4 = 3*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9338180 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - l = 5 - 8, 2*l - 8 = 4*b. Let n be ((9 - b)\/(-5))\/(-2). Is 1\/72 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 45.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 3*a - 6. Let g be f(-5). Suppose 10 = g*h + 6. Let 0 - 24*b**2 + 0*b**2 - 2*b - 7*b - h - 16*b**3 = 0. Calculate b.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 235\/(-45) - (-2)\/9. Let s be (-4 - x) + 3\/(-2). What is the closest to 0.1 in -1, 2\/3, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyfryr. What is prob of sequence fwr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.35 - 2.05. Let t = -9.7 + p. Put t, 0.4, 5 in increasing order.\nAnswer: t, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47944 - -48295. Let l(b) = -b**2 + 8*b - 3. Let g be l(4). What is the greatest common divisor of g and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2155192 litres to millilitres.\nAnswer: 215.5192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-2)*140\/(-21)*1. Let d = -18 + 24. What is the least common multiple of d and (0 - 7)*v\/(-35)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -168.71882 - -168.7. Round v to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-15) - (-5)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8951 + 46758 = 7*c - 33649. What are the prime factors of c?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4366*b**3 - 156*b**2 + 1761*b**2 - 5568*b**3 wrt b.\nAnswer: -7212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpppj. What is prob of picking 2 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 162640538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100 - (-12 - ((-17 - -12) + 6))) + -15 + 14.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -787*d + 802*d - 15. Let m(h) = -h**3 + h**2 + h - 1. Let u(c) = c**3 + c**2 + 6*c - 2. Give d*u(t) - 2*m(t).\nAnswer: 3*t**3 - t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3\/7 (c) -0.5 (d) 13 (e) 15 (f) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p**3 - 23*p**2 + 13*p + 18. Let w(c) = 11*c**3 + 21*c**2 - 12*c - 16. Let h(j) = -10*g(j) - 11*w(j). Calculate h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 792666, 3170661, 7133988, 12682647, 19816638, 28535961?\n\"Answer: 792666*d**2 - 3*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(204)*-1)\/(sqrt(1728)*5 + sqrt(1728) - sqrt(1728)).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 97944\/440 - (-2)\/5 - -5. Calculate the highest common factor of 2166 and p.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h. Let v(s) be the first derivative of -s**6\/120 - 8*s**3\/3 + 6. Let m(z) be the third derivative of v(z). Determine q(m(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-31)\/(-4)*(12 - 8) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8 - 4898\/3860. Let h be 1 + 1 + (-760)\/386. Let m = b - h. Calculate the common denominator of 10\/3 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 4*u**2 - 5*u**2 + 47 + (u + u - 3*u)*(6*u - 4*u - u) - 1 + 3*u**2 + 1 to l*u + w + g*u**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 1. Let s(o) = 10*o**2 - 8. Let q(c) = -c**2 - 2*c + 81. Let x be q(9). Determine x*d(w) + 2*s(w).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7100249 = -15*f + 7100279 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*g + 4 + 168*g + 2 - 6.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4390844 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 247057023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/b*b**(-1\/12)*b)**(-11) assuming b is positive.\nAnswer: b**(-385\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*h - 0*w - 3, -14 = h - 3*w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -102499, -410322, -923479, -1641970, -2565795, -3694954, -5029447?\n\"Answer: -102667*x**2 + 178*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/2923326 and 47\/72.\nAnswer: 11693304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**2\/4 + 23513*p\/4 + 4703\/2 = 0. Calculate p.\nAnswer: -2\/5, 4703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 13. What is j(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -4570?\nAnswer: -4575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2941 (base 10) to base 16.\nAnswer: -b7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 9:49 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 7) in base 9?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1.2, 4\/9, -18, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/144 + 50\/(-18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6 = -102. Let q = r + -17. Does 14 divide (-13)\/(65\/(-2)) + 756\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-19712)\/(-40))\/(-8) - 6. Which is smaller: -67 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -15, 4, 6, 110 in decreasing order.\nAnswer: 110, 6, 4, -15, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(459)*1)\/sqrt(192))**2 + (sqrt(153)\/(sqrt(99)\/(-2*sqrt(11))))**2 + 0.\nAnswer: 4505\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 25*v**3 + 2*v + 2. Determine y(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283260862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4 and 15\/18202.\nAnswer: 36404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (50 + (-72633)\/1452)*4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8426915 to the power of 1\/2, to the nearest integer?\nAnswer: 2903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 137, 127, 111, 89?\n\"Answer: -3*j**2 - j + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -58, -84, -110, -130, -138, -128, -94?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16002020?\nAnswer: 2, 5, 23, 43, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1146 and -33153614471.\nAnswer: -33153615617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 501984 and 2822?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8315 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 + 0*v**2 - v**4 + (4*v - 3*v - 3*v)*(v**3 - v**3 - 2*v**3) - 61*v**4 - 45*v**4 - 50*v**4 to q*v + y*v**4 + l*v**3 + h + f*v**2 and give y.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 6*q. Let b be a(-6). Let u = 4 + b. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638883 a multiple of 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6167 + 9555. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**8\/8 + 19*h**4\/12 + 19*h. What is the third derivative of g(j) wrt j?\nAnswer: -840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120 is divided by 300?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 126628426 to the power of 1\/3, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 1\/3*f**3 - f + 0 + 0*f**2. Let b(s) = -9*s**2. What is z(b(j))?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 16290399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.70547 rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - r**2 - 6*r + 7*r - 3*r**3. Let v be s(0). Suppose 4*n - 3*n - 2 = v, -3*t - n = 1. Which is greater: 7 or t?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 0, -6, 0.4, -2\/5, 5\/3 in descending order.\nAnswer: 5\/3, 0.4, 0, -2\/5, -4\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4951, 12700, 20449, 28198, 35947?\nAnswer: 43696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*a + a + 6*a to the form y + g*a and give g.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -84?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1284694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/16*-2*-10. Suppose g*d + 0 = 20. Solve -d*x = -4*a + 3*a - 8, -5*x + 19 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/1820 and 233\/502320.\nAnswer: 502320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, -17, 5, -0.4, -361 in decreasing order.\nAnswer: 5, -0.4, -17, -94, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.195594218066 less than -639?\nAnswer: -640.195594218066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s + 4*h + 10 = 33*s, -2*h = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from fpfpppif.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + 225. Let p = 314 - y. What is the lowest common multiple of p and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -509 + 509. Solve -4*i + 16 = -2*p, 2*p - 4*p - 4 = h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2110, 3769, 5888, 8461, 11482, 14945, 18844, 23173?\n\"Answer: -v**3 + 236*v**2 + 958*v + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 16 = -20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a7114 + 2?\nAnswer: 4a7116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1442, 1441, 1440, 1439?\n\"Answer: -h + 1443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 3*x**2 + 14*x - 20. Let n be k(5). Suppose n = -4*j + 5*j + 4, -r - 3*j - 5242 = 0. Round r to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10211 + 0?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 - 3*d**3 - 3*d**4 - d + 3 + 1 + 0 to the form u*d**4 + w*d**2 + q*d**3 + j + f*d and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -17. Let l(v) = v + v**2 - 1 + 0*v - 6*v + 0*v**i. Give l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.059 + 0.059218. What is q rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/1069327 - 122970613\/1065049692. Find the common denominator of -19\/1328 and w.\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -288 + 589. Let o = -4883\/16 + x. Calculate the common denominator of o and 87\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 14 = -3*v. Let w(f) = 3*f**2 - 3*f + 3. Let i(u) = -2*u**2 - 27 + 29 - 2*u + 9*u**2 - 5*u**2. Calculate v*i(o) - 4*w(o).\nAnswer: 2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/125, 6, 2\/21, -3, 103?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 2\/5, -34, -1.33, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 27290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*c - 518 + 134 = 391 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*m - 3632093 = -17832102, 5*w - 3*m - 35500009 = 0. Round w to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 681, 662, 627, 570, 485, 366, 207?\n\"Answer: -q**3 - 2*q**2 - 6*q + 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410299903?\nAnswer: 13, 613, 51487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 + 6*i**2 + 3*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 10. Let o be -2 - -2*(0 + 1). Suppose 2*q + 4 - 14 = o. Calculate n(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 154.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1554, 4708, 9944, 17268, 26686, 38204, 51828, 67564?\n\"Answer: o**3 + 1035*o**2 + 42*o + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -387 - -590. Calculate the greatest common factor of z and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + 38\/(-6). Let m = p - -10. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 4*h - 4. Let k(u) = -u**2 - 4*u - 3. Let f(c) = 3*k(c) - 4*r(c). Let w = -15 - -5. Is f(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5 + 1 + 0 - 41*s + 1. Is u(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1233\/685)\/(5439\/(-185))\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -34*h - 1380966. Let d(i) = -2*i. What is y(d(c))?\nAnswer: 68*c - 1380966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -201121120212 (base 3) to base 5\nAnswer: -44323234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 10. Let i be ((-57)\/9 - -2)*n. Let l = i + 30. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/479 - 13885\/958. Let u = -14 - k. Which is the nearest to u? (a) -5 (b) -3\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 139.3 (c) 2\/7 (d) 5 (e) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3196*a + 121609 = 1838*a - 7121*a + 1181484 for a.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.03698l?\nAnswer: 2036.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 + -21 + -80 + 301.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-3 - -3) - -7) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 4*f + f)*(2 + 0 + 0) + (-1 + 1 - 6)*(2*f + 1 - 1).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109332 at least 109332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851 is divided by 198.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -4*m**5\/15 + m**2. Suppose 2*d + 8 = 2*l - 0*d, -4*l + d = -16. Let y(c) = -22 - l*c + 5*c + 22. Determine y(b(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7797 - 2*p**2 + p + p**3 - 3*p**3 - 7698 as k*p**2 + z*p**3 + q + a*p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dinqqqznqnqqq. Give prob of sequence qn.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 0 + 2*t + 49*t**2 - 50*t**2 + 1 - t. Let a(q) = -q**2 + q. Calculate 2*a(z) - 3*w(z).\nAnswer: z**2 - z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1953 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 19*g**2 + 5. Let r be q(19). Let n(w) = -4*w**2 + 7*w + 6. Let d(l) = 7*l**2 - 11*l - 13. Let i(o) = r*n(o) + 3*d(o). Calculate i(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 2 - 30 = 3*p + 2*y - 31, 0 = 3*p + y - 3*y - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1243511\nAnswer: -3730533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 12 in decreasing order.\nAnswer: 12, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 64 - 32. Let y be -6*(1 - 40\/45). Sort y, h, 5 in increasing order.\nAnswer: h, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108291 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -30*y**3 - 2*y - 3. Let t(a) = -119*a**3 - 9*a - 13. What is 9*s(h) - 2*t(h)?\nAnswer: -32*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1874686212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 92*r + 195*r - 99*r - 106 = 0, r - 27 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7749427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 + 4 = 4*o, 1 = 2*o - 3*k. What is the third derivative of -2*b**2 + 7*b**3 - 4*b**o - b**3 + b**2 wrt b?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a*n**5 + 4*a*n**3 + 2*a*n**2 + a*n + 2*n**5 wrt n.\nAnswer: -240*a*n**2 + 24*a + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2316310, 2316313, 2316316, 2316319, 2316322?\n\"Answer: 3*w + 2316307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14417 - 14420. Let u = -3.95 + -0.05. Let q = 3 + u. What is the second smallest value in 0.03, q, 2, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v - 2. Let b be a(2). Suppose 5*l + b = 6*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6\/13 (b) -1.4 (c) 2 (d) -19 (e) 0 (f) -9 (g) 1\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 16 - 26. Calculate the remainder when 96 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t + 4*t - 4*t + (-t - t + 4*t)*(-3 + 0 + 2) + 4 - 5*t - t + 5*t + 0*t + 0*t - 2*t + (-2*t + 2*t - t)*(-2 + 5 - 4).\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 4*d = p - 25, -2*p + 20 = 2*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0 (c) 2 (d) -101\/175\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (2 + 8\/(-4) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1101020?\nAnswer: 1101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2299) + ((sqrt(190)*-2)\/sqrt(10))**2.\nAnswer: -22*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(1 + 165\/84 + -3). What is the greatest common factor of n and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.2 - 2.8. Let w = 0.0744 - -0.2076. Let k = -0.082 + w. Are a and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 1\/(-5) + 2096\/655. Suppose 2\/3*b - 2\/3*b**p + 0*b**2 + 0 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1268 divide 3376168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvzul. Give prob of picking 1 r, 1 l, and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 257730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*x + 3. Let r be (27\/6)\/((-6)\/8). Is x\/(-2)*(-124)\/r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80269527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crcci. What is prob of picking 1 c, 1 i, and 1 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 12*m - 8. Let x be o(11). Let j be 5\/(-20)*8\/x. What is the second biggest value in -0.1, j, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 1.2. Let n = -4071 - -28493\/7. What is the biggest value in -3, m, -0.3, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, 4, -0.5, 3, -11522?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1079 and 100015?\nAnswer: 1300195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58\/9877 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -7*w - 158. Let o be ((-2)\/4)\/(7 + w\/6). Solve 4*z + 8 = 0, -t + 2*z = 2 - o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 3 - (2 + 4 + (-1715)\/5). Calculate the greatest common divisor of 220 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.93603718 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*y - 31 = -4*s + 81*y, 0 = -3*s + 5*y + 37. Solve q - 7*r + s = -2*r, 0 = 3*q + 4*r - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6)*y)\/(y\/(y\/(y*((y**(-6)\/y)\/y)\/y)*y)*y*y)*(y\/((y*y**(-2))\/y)*y)\/y*y**(-1)*(y**(-5)\/(y**(6\/7)*y))\/(y*y*y**5*y**0) assuming y is positive.\nAnswer: y**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2137112 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*k**3 + 456\/5*k - 116\/5*k**2 + 576\/5 = 0. What is k?\nAnswer: -1, 6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -15*u**3\/2 + 15*u. Let h(l) = l**2. What is p(h(q))?\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6791?\nAnswer: 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from oooozooz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 526 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((sqrt(60)*-2)\/sqrt(5)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 8, 9, 10?\n\"Answer: b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -6)\/(3\/4). Let q = 7 - u. Suppose 5*g = j - 29, 2*j + q*g + 101 = 7*j. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - 4 - (-2 + 1). Solve -2*i = w + 1, m = w - 4*w + 3*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11709330 times -0.2\nAnswer: 2341866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8\/m**(-1\/10))\/((m*m**12)\/m**10) assuming m is positive.\nAnswer: m**(51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -11*c**3 - c**2 + 3*c - 1. Determine k(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asoo when four letters picked without replacement from {e: 1, o: 3, q: 3, u: 2, a: 1, s: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/10 + -9\/5. Let b = -1\/5 - 8\/35. Sort y, 0.2, b in ascending order.\nAnswer: y, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 772 and 2.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432 - 8*k - 10*k + 408 - 299.\nAnswer: -18*k - 323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4987*t + 794100 = -2346*t + 6647*t + 1300*t for t.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -6*l - 966. What is the greatest common divisor of 23 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/512 and -121\/4315644?\nAnswer: 552402432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9*(-6978)\/63 - -4. Let k = 996 - x. Let p = -3056 + 27563\/9. Find the common denominator of k and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46170*c**3 - 30886*c**2.\nAnswer: 277020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**5\/20 - 5*b**4\/12 + b**3 + 17*b**2\/2 + 7*b - 11. List the prime factors of n(-10).\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372018*h + 372016*h - 744036*h - 47*h**2.\nAnswer: -47*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 131. Are r and 61 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*((r**(8\/7)\/r)\/r)\/r)\/r*r)\/r**9)\/((r*r**(-4))\/r**(-4)) assuming r is positive.\nAnswer: r**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 214*o - 2693. Let n be m(13). Solve -45*u - 46 - n = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3598 and 0.0479.\nAnswer: -3597.9521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 2. Let w(x) = -3 + 3 + x + 1 - 2*x**f. Let l = 6 + -4. What is w(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1208 and 51\/173932?\nAnswer: 52527464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.80234427 rounded to 5 decimal places?\nAnswer: 0.80234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhqnqqhhqqh. Give prob of picking 2 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 730b89b1 - 4?\nAnswer: 730b89a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 104 = -99 - 177. Calculate the highest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k**5 + 11*k**4 - 862*k**3 + 2*k**2 - 4*k - 40164?\nAnswer: -240*k**2 + 264*k - 5172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Let r be n(1). Let h = 1 - 0.9. Let w = 4.2 - 4.4. Which is the closest to h? (a) r (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85233 - 2.45240372?\nAnswer: -85235.45240372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3 - 1803*l**2 + 314404*l + 636012 = 0.\nAnswer: -1963, -2, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -1 + -1 - -589. Suppose 4*k + 210 = v, -3*v = 2*k - k - x. Calculate the greatest common divisor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107539 is divided by 107528?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32308 and 2296.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*j**3 - 54*j + 105*j - 28*j**3 + 140*j wrt j?\nAnswer: 78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + m + 13 = 0, m = 3*j - 2*m - 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2655 divided by 3\nAnswer: -885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -1755847?\nAnswer: -1755843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 990 = 3925. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.4 in -4, 0.25, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c + 118. Give n(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-20))\/(13\/(-65))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + (40 - (253 - 108)) - 14?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 778 (c) -7 (d) -2 (e) 53 (f) 1 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.545065 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*b - 126, -h = -b - 3*h + 24. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.66 + 0.34. Let h = -1 - 0. What is the closest to n in h, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115966 + 25.2.\nAnswer: 115991.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33249\/2 - -16620. Which is the closest to -1? (a) s (b) -0.07 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14715 and 396215.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 90*n - 715. Determine j(5).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from llylyylefsylllllel.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 150868 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25 - -31)*2*(-2)\/(-6). Let n = -7 + 11. Suppose 5 = -3*x + 2*s, -s + 5 + 10 = -n*x. Sort 5, x, v in increasing order.\nAnswer: x, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*q**4 - 2*q**2*r + 22*q**2 + 239*q*r - r wrt q?\nAnswer: 204*q**2 - 4*r + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04832 and -0.5.\nAnswer: 0.02416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 716 - 360 + 259*a**2 + 394*a**2 - 356. Let n(g) = g**2. What is n(w(y))?\nAnswer: 426409*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10946751853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13327\/1090 - -210\/109. Calculate the common denominator of -97\/8 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162838485?\nAnswer: 3, 5, 107, 11273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 80867.48 times -0.4\nAnswer: -32346.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6674, -6662, -6648, -6632, -6614, -6594, -6572?\n\"Answer: z**2 + 9*z - 6684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 218961 divided by -2?\nAnswer: -218961\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -368 and 134.04?\nAnswer: -49326.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -23, -222, -0.1, 39, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366.3277mm in centimeters?\nAnswer: 36.63277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 388*c**2*s*u + 3695*c**2*s + 28*c**2*u + 49729*c*u wrt s?\nAnswer: 388*c**2*u + 3695*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 41373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 4*x**2 + 2*x - 4. Let z(p) = p**2 + 4*p - 1. Let i be z(-5). Let v be b(i). What is the highest common factor of v and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-54)\/16)\/(1\/(-4)) and (5995\/(-396))\/(-5) - (-1)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/17)*i)\/i)**(-2\/23)\/(i\/i**(-11)*i**(-16)) assuming i is positive.\nAnswer: i**(1560\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -24. Let f = -29 + a. Let r = f + -29.00005. Round r to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + 16 + -9 + 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 14 + 11)*(76 - 76 - 6*q)*(16 + 0 + 0).\nAnswer: -1344*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 29*n + 33. Let t(i) = i**2 - 15*i + 17. Let g(j) = 3*c(j) - 5*t(j). Factor g(r).\nAnswer: -2*(r - 1)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/60 + 471*h**2. Let z(r) = 42*r**2 - 25. Give p(z(d)).\nAnswer: -1764*d**4 + 2100*d**2 - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 8*m**2 - 10*m - 12. Let i be o(6). Let d(t) = 2 + 0 + 4*t - 3*t. Calculate d(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**1*i)\/i)**(-2\/3))**(-43)\/(((i\/(i*i**(-3\/7))*i)\/i**(-3))\/(i*(i**(-1\/3)*i*i)\/i)**(-2\/13)) assuming i is positive.\nAnswer: i**(6547\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45248 - 31645. Suppose p - x + 6788 = -5*x, 2*p - x = -t. Round p to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 10*o + 5. Let q(j) = j - 1. Let r(s) = -b(s) - 5*q(s). Let m = 6 - 3. What is r(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a factor of 6906710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.89283 months to years.\nAnswer: 8.3244025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8024526.44 minus -0.4?\nAnswer: 8024526.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 449503 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 89*w**2 - 1. Let n be d(1). Let k be 0\/(-2) - (4 - -3). Is n*2 + (-7)\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/130 and 88\/975?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1776378971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098428 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -120222 (base 3) to base 9\nAnswer: -528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -122*g**2 - 7*g - 5. Let n(p) = 366*p**2 + 20*p + 14. Let z(o) = 17*d(o) + 6*n(o). Is z(1) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 79*q**2 + 78*q**2 - 169*q**2)*(0*q - 3*q - 16*q).\nAnswer: 228*q**3 + 19*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + -52. Sort z, -1\/3, -5.\nAnswer: -5, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**3 + 6*d**2 + 2*d + 6. Let r(v) = -932 - 932 + 1851 - 4*v - 13*v**2 + 15*v**3. Determine -6*r(c) - 13*s(c).\nAnswer: c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 684, 686, 688?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 15. Suppose 26*y + 330 = -4*y. Give k(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3042445518 to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31773*b**3*w**2 - b**3 + 702*b**2*w**2 + 196092*b**2*w - 162*b wrt w?\nAnswer: -63546*b**3 + 1404*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-24))\/((-1)\/2). Let w be i\/((-16)\/17 - -1). Suppose 5*b - w - 8 = 0. Solve -b*t = -5*n + 25, -2*n + 20 = -t + 2*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqdt when four letters picked without replacement from dqggdqppgqpdpggttqt?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/63)\/(-1) + (-5)\/9. Is f less than 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-503 + 10*s + 503)*(59*s**4 - 42*s**4 - 102*s**4) + 2*s**5 - 7*s**5 + 3*s**5.\nAnswer: -852*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-14)*g**(-1\/10)\/g assuming g is positive.\nAnswer: g**(-151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000043367 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/33 and 71\/5406.\nAnswer: 59466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/654 and -17\/109.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**6\/360 - m**5\/30 + 2*m**3 - 1. Let z(j) be the third derivative of r(j). What is z(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 1:25 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/29 + 82\/145. Let v be (5\/(-2) - -1)\/1. Which is the third smallest value? (a) u (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in -2\/5, 5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*p + 4*a, -a + 1 = -p + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64517357?\nAnswer: 1069, 60353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/127440 and 119\/528876.\nAnswer: 10577520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2)*j)\/(j**(-1\/4)\/j))\/(j\/(j\/(j\/j**(10\/3))))**(4\/3) assuming j is positive.\nAnswer: j**(211\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**2\/r)\/r)\/(r*r*(r**(-1\/3)*r)\/r*r*r))**(-29) assuming r is positive.\nAnswer: r**(319\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 63.95415 minutes?\nAnswer: 3837.249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i + 12*i**2 + 13 - 6*i + 1. Let d(w) = -w**2 - 1. Give 28*d(j) + 2*n(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**3 - 3*c - 2. Let y be i(2). Solve y = 4*p - 4*s, 5*s + 0*s + 13 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 24 = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*l + 3*s - 7, 2*l - s - 7 = 0. Suppose -a + 2*k = 16 + l, k = -5*a - 73. Find the common denominator of -31\/4 and (-6)\/a + 339\/(-110).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129 + 3*i**4 - 2*i**2 + 0*i**4 - 355 - 2*i**3 + 2*i**3 to a*i**4 + l*i**3 + t*i + k*i**2 + y and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6594234?\nAnswer: 2, 3, 317, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.251036429 rounded to five dps?\nAnswer: -2.25104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 0 - 6 - 20*y + 0 in the form o*y + w and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 7*l**2 + 4*l + 9. Calculate m(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 13. Suppose -z + 30 = 4*z. Calculate the remainder when d(z) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.197970304 + -2.198. Round y to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8))**(-35) assuming c is positive.\nAnswer: c**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -51*j + j + 355, 0 = -14*j + 18*j - 2*g + 70 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1028*g**3*w**2 + 2155*g**3 - 4*g**2*w**2 + 6*g + w wrt w?\nAnswer: 2056*g**3*w - 8*g**2*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1101, -1087, -1075, -1065, -1057, -1051, -1047?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -275, -1332, -3173, -5798?\n\"Answer: -392*s**2 + 119*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/21 (b) 1\/3 (c) -0.2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teelell. Give prob of sequence tlel.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6835, -27335, -61497, -109327, -170831, -246015, -334885, -437447?\n\"Answer: -h**3 - 6825*h**2 - 18*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 599408 and 1048964?\nAnswer: 4195856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 128, 157, 206, 281, 388, 533, 722?\nAnswer: 961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 98140 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.42, 11, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 49 = 361*u - 359*u, 17 = j + 2*u. What is the least common multiple of (1\/(-2))\/((-3)\/666) and j?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 29. Let x be s(22). Is -1 - ((-12)\/x)\/((-4)\/530) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12667 = 2*r + 7*c - 12656, 14*c = r - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39839778?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1619 - 1136. Let i = 730 - j. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0 = 3. Let x be (0 - c - 1)*153\/(-34). Differentiate -290*y + x - 16*y**3 + 290*y with respect to y.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 + 5*r - 2. Let q(n) = -20*n**3 - 25*n + 11. Calculate 11*p(l) + 2*q(l).\nAnswer: 4*l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*c + 64*c - 143*c)*(3*c - 5*c + c)*(-6*c + 4*c + c + (0 + 1 + 0)*(3*c + 3*c - 3*c)).\nAnswer: 110*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1303\/2 + -3895\/6. Let h be 0 - 4\/6 - -2. Find m, given that -h + l*m**2 - 2\/3*m**3 - 4\/3*m = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 50*q + 10. Let s(n) = n - 1. Give f(w) + 10*s(w).\nAnswer: 60*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/9 and 56\/328659.\nAnswer: 985977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 113 (c) 1.1 (d) 1193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*4\/8*4\/(-15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Suppose 15 = 3*t - 3*w, -2*t + 36 = s*t + 4*w. Let z(m) = m**3 - 8*m**2 + 9*m - 9. Let x be z(t). Solve 2*c - x*c = -15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 14*n**2 + n - 15. Let c be p(14). Is 2 a factor of 11\/2*(c + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 + 20 = 4*i, -5*i = -4*k + 5. Let x be 6\/k*(-62)\/(-93). Which is the closest to 2\/11? (a) -3 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 9. Suppose 5*t + 2*f = 24, -4*t - 4*f = -0*f - 12. Let j be p(t). Suppose 0*n - g = 2*n - 3, 0 = n - 4*g + j. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2\/5 + 902*t\/5 - 199557\/5 = 0.\nAnswer: 389, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907922 is divided by 453607?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 12:22 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5*z + 51 - 25 = 0, 20 = 4*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7280264\/2331455 + -1092\/2297. Let y be 1\/2 + (-10190)\/20300. Let v = u + y. What is the common denominator of 15\/2 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 5, 19 in decreasing order.\nAnswer: 34, 19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -182, -187, -184, -167, -130?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, a: 2}. What is prob of picking 2 j and 2 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.6678 or -2\/11?\nAnswer: 0.6678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17161*s**2\/4 + 131*s\/2 + 1\/4 = 0. Calculate s.\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 10:33 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**6\/60 - 101*u**2. Find a, given that o(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 330658172?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(52)\/sqrt(4)*6.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5364064.3 days?\nAnswer: 766294.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + 3*g + 6. Let t be q(-7). Suppose -4*l - 3*n + 6*n + 127 = 0, -4*n - t = -4*l. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15046 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19047, 19045, 19055, 19083, 19135, 19217?\nAnswer: 19335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5)**(9\/2)\/(w**(6\/5)*w**17\/w) assuming w is positive.\nAnswer: w**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 12*g + 17. Let q be l(13). Suppose -3*b + 74 + 8 = 4*m, -q*b - 4*m = -108. Calculate the highest common divisor of 78 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13647 = 1062*g + 13857 - 42690 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpf when three letters picked without replacement from vfivkpkqqpiqpfqq?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -540.5 - -540. Let a(p) = -p. Let i be a(4). Let r be -2*(i + 6)\/2. Sort b, r, -2\/9, 16.\nAnswer: r, b, -2\/9, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5612, 6077, 6542, 7007, 7472, 7937?\nAnswer: 8402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -41\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -3*h**5 + h**4\/12 - h**3\/3 - h**2\/2 + 38*h. What is the second derivative of r(a) wrt a?\nAnswer: -360*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16560 and 15312?\nAnswer: 5282640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 5) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 17*z - 97. Calculate the remainder when 335 is divided by s(9).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1684062 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.5365 - 58380.5365. Let q = -58463.941 - o. Let p = -93 - q. What is p rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 78 - 3*g - 65.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 4*v + 16. Let a be ((-96)\/v)\/(-3) - 4. Suppose 2*k + p - 104 = -k, 4*p = a*k - 160. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -3. Suppose -2*k + 4*k = 8. Let f(z) = 4 + k*z - z - 1. Determine f(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 1, k: 1, f: 3, v: 1}. What is prob of sequence kx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905794 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 264, 260, 254, 246, 236?\n\"Answer: -m**2 - m + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006779175 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 5:05 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = -5*i, -3*i = 93*w - 88*w - 11. Solve -i*s = -7 - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 7 = -15. Let k be (-8 - -2)*l\/(-4). Find the second derivative of f - f - f - 2*f**k wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Let j = -3.9 + t. Let i = -123 - -613\/5. Which is the third biggest value? (a) j (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:27 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -78. Suppose -n - 7 - 4 = 0. Let c be -1 - (n - (4 + i)). Solve 0 = -5*p + 3*t - 12, -7 = 4*p + t + c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 23*h - 925. What is the tens digit of r(34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107187292*c**2*k - 4646*c*k + 1060*c - 2*k - 1 wrt c?\nAnswer: 214374584*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 6:57 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 17. Let q = 85 - -8. What is the remainder when q is divided by j(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -686\/5 - 42\/5*x**2 + 2\/5*x**3 + 294\/5*x = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0991 * -7292\nAnswer: 722.6372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36856 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2 - 7*c + 3*c + 0 + 3*c**2 - c**3 + 4. Let u be a(2). Does 3 divide (-16)\/u + 0 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 5, 12, 220, -24, 7 in increasing order.\nAnswer: -24, -4, -3, 5, 7, 12, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.236 - 21479.\nAnswer: -21478.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/10 - o**4\/6 - o**2 + 5*o. What is x(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -74909.\nAnswer: -14981.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**2 + p**4 - 25*p**2 + 3*p**3 + 9 + 15*p**2 + p + 0*p**3 in the form a*p**3 + l + o*p**2 + z*p**4 + s*p and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-4))\/(276\/368).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 177*p - 13946. Give n(80).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-5 - -14)) + (10 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 394306*d**4 + 1086508*d?\nAnswer: 4731672*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8\/75, -4\/7, -3\/5, -13\/5, 77?\nAnswer: 8\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2233 and 203.\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30229 + -13956. List the prime factors of j.\nAnswer: 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Suppose 24 = -0*m - 3*m. Calculate the smallest common multiple of 8 and (-25)\/(-2) + o\/m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2. Let k(h) = -84*h**2 + h - 11. Suppose 118*c - 96*c = -242. Let f(a) = -17*a**2 - 2. Let q(p) = c*f(p) + 2*k(p). Determine v(q(d)).\nAnswer: 722*d**4 + 152*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/1*(32\/(-7) - -4). Suppose -2*y - s*t = -t - 18, -2*y - 4*t = -22. Calculate the lowest common multiple of y and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - g + 3163 = 0, 3953 = 5*b - 10*g + 11*g. Let z = b - 408. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5819612.\nAnswer: 2, 53, 97, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -51843, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1279, 2529, 3779, 5029?\n\"Answer: 1250*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 1100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 1, 23\/4, -4\/5, 7138?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(56) - ((sqrt(504) - sqrt(56)) + sqrt(56))) - (sqrt(3584)*2 - sqrt(3584) - sqrt(3584)))\/(sqrt(24)\/sqrt(12) - (-2*sqrt(128) + sqrt(128))).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -140, -534, -1174, -2054, -3168, -4510, -6074?\n\"Answer: s**3 - 129*s**2 - 14*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m = -40*m - 4*t - 498, 3*t - 533 = -2*m. Is m bigger than 257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 - 27 = 3*i. Let m = -105 - i. Let w = 69 + m. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4232024 + -1344?\nAnswer: -4233423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*(-4)\/(-12)*16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*u - 13 + 37 + 71 + 3 + 6 + 4*u**2.\nAnswer: 4*(u + 1)*(u + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10284983*i**2. Let t(y) = 2708*y**2. What is 5*l(u) - 18991*t(u)?\nAnswer: -2713*u**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -116924 + 21019. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:13 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*p**3 - 24*p**2 - 18*p**3 + 12*p**3 + p + 10*p**2 - 2*p in the form o*p**3 + m*p + j*p**2 + d and give o.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 = -0*g. Let d be (13 + g - 3) + 0. Suppose -3*c + d = 4*b, -5*b + 4*b - 12 = -3*c. Calculate the highest common factor of c and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t - 52. Let j = 18 - t. Suppose -j*o + 0*o - 3*l + 3 = 0, -3*o + 29 = -5*l. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 291 and 4.\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 212?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 8:26 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:23 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose v*h - h = 23. Let m = h + -11. Calculate the greatest common factor of 18 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/600)\/(-6*(-1)\/10)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 8)*(3*a**4 - 5*a**4 + 3*a**4) + (a - a + a**2)*(-175*a**2 - 24*a**2 - 117*a**2) to the form b + q*a**4 + y*a**3 + x*a + i*a**2 and give q.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 258 and 84440.\nAnswer: 84698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6334206 - -17?\nAnswer: 6334225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (2\/7)\/(2\/14). What is the third derivative of -2*q**2 + 3*q**2 + 11*q**b + q**2 - 6*q + 12*q**3 wrt q?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**3 + 2984*w**2 - 61*w + 525697.\nAnswer: 6*w**2 + 5968*w - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 417 and 13622?\nAnswer: 40866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2176, -2177, -2178?\n\"Answer: -p - 2175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2645*t - 12200. Calculate w(-5).\nAnswer: 1025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asjjsaja. What is prob of sequence sasj?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 526 = -4*b - 0*j, 0 = -3*j - 18. What is the smallest common multiple of 30 and b?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -7.97. Let z = 0.97 - h. Which is the closest to 0.1? (a) 3 (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -15421*k + 555151. What is u(36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*w - 25 = -w, 15 = 3*p - 2*w. Let k(a) = -8*a - 1. Let s be k(p). Let i = 136263 - 136303. Is i equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120110200112020 (base 3) to base 12\nAnswer: -2905859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**5\/3 - 2074*t**4\/3 - 74068*t**3 - 5898052*t**2\/3 - 11137798*t\/3 - 1819958 = 0.\nAnswer: -49, -1, 1137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k = -40. Let h = k + 13. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 1873341?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from mpmq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 - (-47 + 29) - -28 - -31?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14*(-1725)\/(-46)*1\/(-5). Suppose -27*m - 8*m = -q. Solve -j = -4*r + 12, m*r + 36 = 7*r + 5*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 2. Let q be w(-5). Suppose 0*f - 273 = -3*f. Let p = f - 27. What is the highest common divisor of q and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -244, -603, -1094, -1717?\nAnswer: -2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**18*((u*u**(-2\/9))\/u)\/(u\/((u*u**(-7))\/u)*u*u) assuming u is positive.\nAnswer: u**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*1*(-658)\/(-42). Suppose 0 = 4*h - p - 13. Suppose -5*w - 4*r - 27 = 0, -3 + h = -2*w - 2*r. Which is the smallest value? (a) 5 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbn when three letters picked without replacement from nrbrnnrnrrnrr.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**2 - 160*c + 16720 = 0.\nAnswer: -76, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, 23, 56, 103, 164, 239?\n\"Answer: 7*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from {o: 2, w: 1, e: 1, k: 2, x: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47521 is divided by 511?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 d when four letters picked without replacement from dvfndnndffdfvfddd?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18335 and 608?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 27. Let l(z) = 4*z + r*z - 14*z. Let w(o) = o. Determine w(l(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 5 + (-2 - 1). Let p(v) be the third derivative of -v**5\/60 - v**4\/8 + v**3\/3 - 2*v**2. Let i be p(-2). Put -5, g, i in descending order.\nAnswer: i, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3185484ml in litres?\nAnswer: 0.0003185484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -22*f**2. Let n(o) = -o - 125. Let j(c) = 24. Let y(s) = 7*j(s) - n(s). Give z(y(k)).\nAnswer: -22*k**2 - 12892*k - 1888678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*u - 97*u + 10758 = 4*d, -3*d = 2*u + 10751. Which is bigger: -5376 or u?\nAnswer: -5376","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1272*s - 187. Let c be -3 - -33 - 6 - 0. Is h(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.34 + 0.04. Let o = -223.8 - -224. Which is the second biggest value? (a) f (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/9)*a)\/(a\/(((a\/(a*a**5))\/a)\/a)))\/(a\/((a\/((a*a**(-1))\/a))\/a))**(4\/7) assuming a is positive.\nAnswer: a**(-67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21\/20 + 9\/5. Which is the closest to 0.2? (a) -4 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -243540, -243541, -243552, -243579, -243628, -243705, -243816, -243967?\n\"Answer: -d**3 + d**2 + 3*d - 243543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 24 = i + 4*f, -2*f = -i + 8. Suppose -i*b - 1739 = -32335. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2. Let o(u) = -95*u**2 - 40*u - 4. Let r(c) = 2472*c**2 + 1030*c + 103. Let i(g) = -103*o(g) - 4*r(g). Calculate i(y(z)).\nAnswer: -2575*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 20 - 16 + 5 = 23*u, -4*c = 2*u + 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/(-56)*(7\/6)\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -10 - (11 - 7 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/11 and 97\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1134*l**3 - 1034*l**3 + 3291*l**3 - 1155*l**3.\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.6 + -24.6. Which is the second biggest value? (a) h (b) 13\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -272, -515, -792, -1079?\nAnswer: -1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(1\/(-4))\/(12\/((-96)\/10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, r: 1, a: 2, j: 2, m: 1}. Give prob of picking 1 r and 1 z.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695 - 697 = -s. Let o = 22 - 15. Differentiate 11*y + o*y - 12*y + s wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 7:28 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(490\/(-40))*14\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i**2 - 93*i - 3. Let u(v) = -10*v**2 - 139*v - 5. Determine -8*c(b) + 5*u(b).\nAnswer: 6*b**2 + 49*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 434.5.\nAnswer: 429.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}