diff --git "a/data/dm_maths/full_data_2/2392_11255.jsonl" "b/data/dm_maths/full_data_2/2392_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2392_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h = 16727 - 4198445\/251. Let q = -25405\/3514 - h. Calculate the common denominator of q and -93\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11 - ((-45)\/(-135))\/((-4)\/104688)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 20*x**2 - 37*x + 52. What is the tens digit of i(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240260058 divided by 95002\nAnswer: -2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250886?\nAnswer: 2, 17, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -2 - 1) + 67 + -65. Suppose 5*y + 1161 = 2*z, y + f*y = 2*z - 1163. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.3. Let y = -1.1 + i. Let b = 0.0044 - -4.9956. What is the smallest value in b, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (118\/177 - (-580198)\/6)*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 9:06 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*g - 25131 = 54286, 3*l - 59564 = -5*g. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800836791 rounded to the nearest one million?\nAnswer: 2801000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 39105.2, 0.2 in decreasing order.\nAnswer: 39105.2, 11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-1508)*(3 + 0). Let l = x - 47807\/2262. What is the common denominator of l and (50\/(-16))\/((-22)\/(-8))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (506\/4301)\/(135\/5049)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 = 2*r + r, -3*o = 3*r - 3. Suppose 0 = -4*m - 2*f + 5*f + 14, 0 = 4*m - 4*f - 16. Solve -5*q + 5*n - 30 = 0, r = 4*q - m*n + 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.099928 months?\nAnswer: 0.0424994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1882 - 18*w - 1897 + 15.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 2*x**3 + 3*x**2)*(-2*x + 2*x + 2*x) + (-3*x**2 - x**3 + 3*x**2)*(-30*x + 270 - 270).\nAnswer: 34*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 5a?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from {j: 2, g: 8, b: 4, r: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 - 80*z + 62. What is p(-41)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 101 - 8c666?\nAnswer: -8c565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9954.146 centuries in months?\nAnswer: 11944975.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 574069162?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/2, -2, -1, 6.4, -0.08 in descending order.\nAnswer: 6.4, -0.08, -0.4, -1\/2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -115*g**2. Let l(s) be the first derivative of s**6\/120 - 14*s**3 + 273. Let t(r) be the third derivative of l(r). Calculate t(x(p)).\nAnswer: 39675*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 548407, 2, -3 in descending order.\nAnswer: 548407, 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43401251?\nAnswer: 43401251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 1*1\/(-3 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - c + 78. Let w = 3 + -3. Let d(i) = i**3 + 15*i**2 - 5*i - 55. Calculate the remainder when t(w) is divided by d(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-330) + (-7)\/15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 27.9.\nAnswer: 502.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**7\/3360 + k**6\/120 - k**5\/10 - 5*k**4\/8 + 37*k**2 - 1. Let n(c) be the second derivative of u(c). Factor n(w).\nAnswer: -3*(w - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13745, -13710, -13651, -13568?\n\"Answer: 12*x**2 - x - 13756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -68*v**2 + 7*v - 4. Let y be t(2). Let p = y - -574. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o + 7. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 8*b**2 - 4 + 11*b + 25*b - 49*b. Let f be j(-6). Let n(m) = m**2 + 3. Let l be n(0). Sort 8, f, 0, l in ascending order.\nAnswer: 0, f, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 3\/(-3)*(3 - 5 - 7).\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 176*v**2 - 582*v + 3276.\nAnswer: 2*(v - 91)*(v - 3)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + z. Let x(q) = 2*q**3 + 12*q**2 + 17*q + 195. Let l(s) = 6*c(s) - x(s). Find the first derivative of l(r) wrt r.\nAnswer: -6*r**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1017229?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171*v - 693*v - 46*v to the form t*v + c and give t.\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*f - 3*s + 32, 28 = -3*f + 4*s. Let p(j) = 7*j - 6. Determine p(f).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2353 + 3303. Suppose 0 = -5*d - 5*z + o, -10*d = -8*d - 4*z - 404. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2483532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 2351*b**8\/336 - 143*b**4\/4 + 1224*b**2. Find the second derivative of o(n) wrt n.\nAnswer: 47020*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(110))\/sqrt(5))\/(sqrt(22)\/sqrt(2)*-1).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2 + 0) - -3) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27, -44, -47, -36, -11, 28, 81?\n\"Answer: 7*y**2 - 38*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99831.\nAnswer: 3, 107, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11462*b**2. Let w(f) be the first derivative of 2*f**3\/3 + 3352. Give w(y(j)).\nAnswer: 262754888*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214486.034 - -211254.004056. Let y = -3232 - i. Let c = -0.03 + y. What is c rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4 + f + 1 + 1. Let m = 17 - 15. Suppose a + 5*h + 5 = -3*a, m*h + 2 = -5*a. What is s(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = -n. Let k be (((-1)\/(-3))\/(9\/162))\/3. Suppose 30 = 5*f - z, z - 4*z = -k*f + 25. Put 17, f, 2, n in descending order.\nAnswer: 17, f, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8609 + 28091. What is m rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7467, -8450, -10097, -12414, -15407?\nAnswer: -19082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + t - 54 - 163 = 0, 0 = 4*s - 3*t - 868. Suppose z - s = -5*i, -i + 2*i + 5*z = 29. What is the highest common divisor of i and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 + -1.9. What is the third smallest value in n, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -263\/52 + 82\/13. What is the second biggest value in 36, r, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.077 - 4.077. What is the third smallest value in j, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*s**4 + 23 + 6*s - 23 wrt s?\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3888791 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*w**3 - 243*w**3 + 7*w - 55*w**3 + 7*w**2 wrt w?\nAnswer: -1626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 - 5840*j**2 + 11668*j - 5832 = 0. What is j?\nAnswer: 1, 1458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyy when three letters picked without replacement from yycdlyd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:14 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 30 - 27 + 5*q - q**2 + 1. Calculate m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 3*l - 1949*l**3 - 25*l**2 + 2148*l**3 to s + a*l**2 + k*l**3 + h*l and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 727 + 5?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -767 + -16?\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*n**3 - g**3 + 77*g**2 - 1516529*g*n**6 - 70*g*n**2 + g*n + 18*g wrt n.\nAnswer: 12*g**3 - 181983480*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*f + 8 + 0 - 6 + 3 - 11 in the form y*f + r and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.016581873661 - 8.\nAnswer: -7.983418126339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32*2\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -72026 times -167.4\nAnswer: 12057152.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7211, -14987, -22751, -30497, -38219, -45911, -53567, -61181?\n\"Answer: s**3 - 7783*s + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 286?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -169?\nAnswer: 21.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 12 - 229*u - 37.\nAnswer: -229*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1224 to 2 dps.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -234.00133 + 234. What is y rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 47.5. Let c = o - 5.5. Let n = 3 + -1. What is the closest to n in c, 2\/11, -4\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2\/8)*4. Factor 2*n + n**3 - 2*n - 6*n + n**h + 4.\nAnswer: 2*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 2*n**3\/3 + n**2 - 10*n. Let o(k) = 2*k + 1. Determine -11*o(h) + 6*u(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.261*2\nAnswer: -0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*a = -3*h + 21, 2*h - a - 3 = 0. Suppose -3*x + h = -3. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 87, 3\/7, -0.1, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Suppose x*u = -0*u - 4*d - 5, -3*u - 5*d - 7 = 0. Let r(b) = 11*b + 205. Let f be r(-18). Solve 2*n + f = -u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**5\/60 + 7*w**4\/24 + 5*w**3\/2 - 829*w**2. Let y(j) = j**2 + 8*j + 16. Give 7*o(f) - 6*y(f).\nAnswer: f**2 + f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (2 - (-15)\/(-9))*-1*-4815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2\/31 (c) 0 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169580 - 5*w**3 + 169580.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1585*u**5 - 9082*u**2?\nAnswer: 95100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = 3*w, 3*b - 75 = -4*w. Suppose -d + b - 7 = 0. Let m = -6 + 70. Calculate the remainder when m is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5570984 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkg when three letters picked without replacement from egeeedddkezzeezd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 + 87 = 71*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.8 + -8. Let x be 27\/(-15) + (-6 + 10 - 3). Let l be (2 + 3)\/(1 - -3). What is the nearest to v in l, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19954 divided by -19\nAnswer: -19954\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.76 - -0.24. Let n = -32.7 + x. Let l = -2 + n. What is l rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -271169*m**3 + 191*m**2 - 76.\nAnswer: -1627014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8*t = -105. Calculate the remainder when 29 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94027\/26 - -3613. Calculate the common denominator of 75\/22 and v.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/52? (a) 3 (b) -2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26642 and 9174536?\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(780\/18))\/(((-21)\/175)\/(-3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -142, -3, 0.3, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 9:48 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 2*k + 72. Let y(h) = -7 + k - h + 5. Let a be y(0). Solve 2*r = a*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6262529380 to the nearest integer?\nAnswer: 79136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -80 - 3\/(15\/(-25)). Is m at least -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2944883l?\nAnswer: 294.4883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47\/20? (a) -0.4 (b) 0.101 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 318175, 318173, 318171, 318169?\nAnswer: 318167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/1044, 0.4, -1, 20\/11, -3\/5, 0.5?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4, -6\/15193, -0.4?\nAnswer: -6\/15193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6589 = m + 6756, -3*m + 3333 = h. Suppose -15*a = -7*a - h. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17599.\nAnswer: 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + c - 1, 2*c = 6 + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40913 - -40882.313. Let v = 0.113 - k. Let i = -20.7 + v. What is i rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*d - 2*d. Let l(w) = -w**3 - 8*w**2 - 3*w - 12. What are the prime factors of l(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.189313ms in hours?\nAnswer: 0.0000181081425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60023749 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/5, -97, -27.9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/5)\/((-9)\/45*-2). Suppose 0 = 5*c + 15, -3*c = -5*i - 2*c + 13. Suppose i*x + 3 = -1. What is the biggest value in l, x, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/(-16) - (-4)\/(-32). Suppose g*u + 11 - 32 = 0. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 41 - (-42)\/(-12)*14.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -128, -5, 17, -4 in ascending order.\nAnswer: -128, -5, -4, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 13*y**3 - y**2. Suppose 7 = -4*k + 3. What is g(k)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47291785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110 (base 3) to base 5.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10 - (-32)\/20. Find n such that -b - 12\/5*n**2 + 3\/5*n**3 + 3*n = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 239 (base 15) to base 3\nAnswer: 200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -11*n**4\/12 + 8*n**3\/3 + 36*n - 45. Let z(s) = 7*s. Determine z(x(j)).\nAnswer: -77*j**2 + 112*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 24*n**3 - n**2 + 5*n - 2. Let w be (30\/(-20))\/((-11)\/22). Is r(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3019908, -6039818, -9059728?\nAnswer: -12079638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 40 = 2*n - n, 0 = -5*u - 25*n + 23*n + 1 + 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4, 0.5, -0.2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -19*q - 25. Let a be p(-2). Solve 2*o = -3*u + 11, -3*u - 3*o = -a - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 2 (b) 1 (c) 2\/3 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -1, 20539, -4, -2, 4?\nAnswer: 20539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. Suppose -a*d - 118 = -2*o, d - 3*d = -o + 80. Let x = 12 - d. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/5 + 27762*f**2\/5 + 96410448*f\/5 + 96271688 = 0 for f.\nAnswer: -6938, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 8*l - 20. Let o be d(10). Let q(c) = 3 - 17*c - 4 - 3 + o*c + 2*c**2. Is q(10) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -43, -56, -69, -82, -95?\n\"Answer: -13*d - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 47. Let z(g) = g**3 + 4*g**2 - 4. Let k(j) = 2*j**3 + 9*j**2 - 8. Give t*z(f) + 4*k(f).\nAnswer: -f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -271.9 - -272. Which is the fourth biggest value? (a) f (b) 1 (c) -3 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 48 = 7*f. Let j(l) = -6 - f*l + 2 + 15*l. Does 10 divide j(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2758011*-4.\nAnswer: 11032044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 26. Let v = s - -16. Let q be 2\/(-4) - 9\/(-10). Put -2, v, q in increasing order.\nAnswer: -2, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-10 + 4 + 10 - 2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 4961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6*6 + (-7 - -8). Suppose -4*x + 12426 = -f*l, 7*l = -5*x + 2*l + 15555. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -3*x + k, 4*x + k = -0*k + 205. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989079507 rounded to the nearest ten thousand?\nAnswer: 989080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(11) + (2*sqrt(88) - sqrt(88))\/sqrt(8)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.4 + -1.4. Let r = p - 10. Let j = r + 3. Which is the closest to 0.1? (a) 5 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbaab.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 14.759?\nAnswer: -59.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 70 - 12*t - 82 + 0*t - 81 + 3*t.\nAnswer: -9*t - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1364 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 8*c + 10. Suppose 0 = -c*o - 4*p + 8 - 28, 4*p + 8 = 4*o. What are the prime factors of o - (6 - 1)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*x - 10 = 3, 0 = -4*y - 2*x + 52. Let q(h) = -7*h - 8*h - 3 + 3*h - y*h. Does 19 divide q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84006 and 9711.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 less than 30515507802?\nAnswer: 30515507801.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 621, 1379, 2639, 4401, 6665, 9431?\n\"Answer: 251*w**2 + 5*w + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 24 + 10*m - 63.\nAnswer: 8*m - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -0.6. Let t = 3 - 1. Suppose 10 = -x - 0*b + 3*b, -t*b - 5 = -3*x. What is the third biggest value in x, k, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3689 - 3442. Calculate the remainder when n is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiritttiipriiit. What is prob of picking 2 r, 1 i, and 1 t?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 + 7048*u**2\/3 - 1102063*u\/3 - 2232310\/3.\nAnswer: (u - 155)*(u + 2)*(u + 7201)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -727.48 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a meter in millimeters?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1432*a + 1432*a + 3*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -23*v - 3776. Give t(-164).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1143, 1144, 1145, 1146?\n\"Answer: p + 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 9*c**3\/2 + c**2 - 412*c. Let k(g) = 3*g. What is k(w(o))?\nAnswer: 81*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssss. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 19*b + 30. Let n be h(-17). Put n, -90, -10 in decreasing order.\nAnswer: n, -10, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 15*x - 29. Let j be t(17). Let o(c) = 4*c**2 + 3*c**2 + j*c**2 - 14*c**2. Let b(m) = -m - 53. Give b(o(h)).\nAnswer: 2*h**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -19801.\nAnswer: -39602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037740937 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 57 (b) -185303 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - 4*s**2 + 6*s**2)*(-4 + 2*s**2 + 4) - 15*s**2 + 15*s**2 + 4*s**4.\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 2 - 5*z**2 + 3*z**2 - 3*z + 4*z**2. Let l be v(-3). Suppose -l*u + 33 = -133. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*a + a + 4076 = 876 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o - 5. Let w be a(14). Calculate the greatest common divisor of 54 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-225)*(0 - 15\/3). Factor 4\/9 + 2\/3*p + o*p**2.\nAnswer: 2*(p + 1)*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**3 + m**2 + 10*m + 2. Let o(x) = 6*x**3 - 2*x**2 - 11*x - 3. Let u(z) = -7*i(z) - 6*o(z). Determine u(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - g = -100, 2*g = -2*g + 16. Suppose -n - 32 = -5*p, 4*p - 7*p = n - u. Factor 0 - p*d**2 + 0 - 9*d + 1 - 3.\nAnswer: -(d + 1)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1088, 0.6, -0.31 in decreasing order.\nAnswer: 1088, 0.6, -0.31, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -24 - (6 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*g - 15. Suppose g*x - 35 = 35. Solve x = 3*r - 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -658 + 756. Calculate the remainder when 497 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 - o + 4. Is 9 a factor of b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 26*q - 494. Let j be x(39). Solve -v = -p - 6 + 7, -3*v + j = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 4, k: 1}. What is prob of sequence hh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5254.\nAnswer: 2, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + z = -16, -3*a - 226 = 2*z - 227 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 70 + 37 - 46*j.\nAnswer: -46*j - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g = 5*z + 43*g + 23, -5*g + 15 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/2*6\/24)\/(19\/133)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rosoovz. Give prob of sequence rvo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 29. Let q be (c\/(-6))\/((-3)\/(-9)). Solve -q*d + 6 - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 = -z, 4*r - 3 = r - 4*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129 + -122 + 2\/(-1)*-2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = 4*m + 2*w, -29 = m - w - 115. Calculate the least common multiple of 187 and m.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2054049, -2054068, -2054073, -2054058, -2054017?\n\"Answer: q**3 + q**2 - 29*q - 2054022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62715874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a13 - 3102?\nAnswer: -4b15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*z + 5464 = -80*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6*1)\/((-2)\/(-1230)). Suppose 590 = 20*k - z. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 1 + -65 + 65. Solve 2*q + 2*g - 6 = 0, i*g = 5 - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19527 and 38016805?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -2, 1, 3 in increasing order.\nAnswer: -2, 1, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2 + sqrt(128) + -2 + -3*(1*sqrt(128) + sqrt(128)) - (-1 + sqrt(128) - sqrt(128))*-6*1)**2)*-3.\nAnswer: -9720 - 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 221144 to the power of 1\/2, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-13)*(-4 + 3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - z + 10 = 2*z, z - 5 = -3*l. Let q(j) = j - 1. Let h(w) = 2*w - 6. Suppose 3*k + 4 + 8 = 0. Calculate k*q(p) + l*h(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 12:35 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12718, -12711, -12704, -12697, -12690, -12683?\nAnswer: -12676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Let q = w + -3.1. Which is the nearest to q? (a) 4\/5 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3686.013 + -3692. Let g = 25.4 - 25.513. Let s = b + g. Round s to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -55*g - 380. Determine o(-5).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + (1 + sqrt(147) + -1 + 4)**2)*1.\nAnswer: 56*sqrt(3) + 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/842 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*m = -0 + 7, 2*m = -2. Differentiate -2 + 7 + 2 + z*q with respect to q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6 = 0, 3*l + 3*w = -2*l + 81. Let m = l - 3. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5\/2 + 14895*b**4\/2 - 2142400*b**3 + 151273070*b**2 + 631039440*b + 639728224 = 0?\nAnswer: -2, 148, 14603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*u + 3, 0*f + f - 2*u = -2. Suppose 35 = 5*h - 5*d, h + f*h + 5*d = 25. Which is bigger: 11 or h?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58059041 by 4.\nAnswer: -58059041\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2753297, -5506599, -8259901, -11013203, -13766505?\n\"Answer: -2753302*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/27)\/((-2 + 1)\/(-6)). Determine u, given that -4 + 6 - 6*u + 18*u**2 + 7 - 21*u**c = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**4\/5 + 44*s**3\/5 - 72*s**2\/5 + 16*s\/5 + 32\/5.\nAnswer: -4*(s - 2)**3*(2*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 20130.4 to the nearest one hundred.\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -935861\/262 + 3572. Let t = 8363\/1834 + i. Is t at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6138113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*51\/(-85) + 5*2. Solve 0 = -l - 5*m - g, 3*l - 2*m - 2 = -7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*o - 142, 4*a - 9*o = -8*o + 277. Put -3, a, 8 in ascending order.\nAnswer: -3, 8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3828*t**2 - 302*t**3 + 3828*t**2.\nAnswer: -302*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -3.91?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -1, 2, -1311, 4.\nAnswer: -1311, -3, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u + 17*u - 4*u to the form v + i*u and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -25.3, -117?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21 and 107.616?\nAnswer: 128.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - a + 6, -5*a = -3*g + 215. Suppose 0 = 4*z + z - 15. Suppose -4*x = 5*u - g, 60 - 5 = z*x + 4*u. Solve 5 = -5*n + x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 a, and 1 j when three letters picked without replacement from {j: 8, a: 2, w: 2, z: 5}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + 3 + -7 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -196, -1128, -3520, -8104, -15612, -26776, -42328?\n\"Answer: -122*d**3 + 2*d**2 - 84*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -67, -141, -243?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = -4*c - 3, -6 = -s - 2*c. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y + 4. Let p be i(2). Suppose -10*a = -6*a - p. Solve 5*z = 4*f + 2 + 1, 7 = -a*f - z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1658 + 110.4458. Let o = p + -119. Let j = o + -2.18. What is j rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*s - 7, 0 = 3*a + 2*s + 25. Suppose 7*m - 5 = 2*m. Put m, 7, a in decreasing order.\nAnswer: 7, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 100025.5t?\nAnswer: 100025500000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 471 - 580 - (-5 + -81)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**2 - 40*z - 5. Let t be c(6). Calculate the highest common divisor of 259 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (600\/(-10))\/20*2\/8*640\/192.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 32465 - 14*x**2 - 3*x + 32465.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -316 - -399. Let p = j - 67.8. What is p rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128299*w**6 - 126176*w**2.\nAnswer: 15395880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97 - 179.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24007 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 - 1235*s**3 - 1220*s**2 + 2460*s.\nAnswer: -5*s*(s - 1)*(s + 2)*(s + 246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/15, -1\/3, -1\/5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.52497 rounded to two dps?\nAnswer: 5.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2, 0.1, -121?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, s: 2, n: 5, p: 7}. What is prob of sequence psvp?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2270944\/3 <= -756980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + t - 4. Let g be y(-2). Suppose -4049 - 129 = -4*d - 2*l, d - g*l = 1052. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026977234 rounded to seven decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - (0 - -3)) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263844961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -132317, -132320, -132325, -132332, -132341, -132352, -132365?\n\"Answer: -o**2 - 132316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 20 - 97 = 0. Calculate the remainder when 39 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 at least 199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53397, -213571, -480535, -854295, -1334857, -1922227?\nAnswer: -2616411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.371 + -0.3710048. Round s to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**5\/2 - 912*t**4 + 5565*t**3\/2 + 20145*t**2 - 11106*t - 65988 = 0.\nAnswer: -611, -3, -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let z be x(0). Suppose z = 4*q + 20, 3*y = -3*q - 2*q - 16. Suppose 4*v = r - 3996, -v - 3012 = 2*v + y*r. Round v to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14400 and 1575?\nAnswer: 100800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, 264, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -5*(10 + -15 - (3 - -1)) and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1275929.2 to the nearest ten thousand.\nAnswer: 1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03365805685 plus -5?\nAnswer: -5.03365805685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j**3 + 9*j**2 - 13*j - 10. Let x(f) = 5*f**3 + 6*f**2 - 7*f - 5. Let h(d) = -7*x(d) + 4*y(d). Give h(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833671?\nAnswer: 151, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 23601?\nAnswer: -8\/23601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003086977 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + (-2 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.04 - -1.3. Let a = 0.336 - u. Let x = a - -5.024. What is x rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, m: 5, r: 3, z: 3}. What is prob of sequence zmzy?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -6*d + 1. What is the least common multiple of 20*((-5)\/d + 3) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7392790?\nAnswer: 2, 5, 17, 43487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-21\/2)\/x**(2\/13))**9 assuming x is positive.\nAnswer: x**(-2493\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 893 + 901 + 112*o - 3584 + 894 + 895.\nAnswer: 112*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 1150*s**2 - 14781*s - 9. What is y(13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*u = -0*u + 16, -4*c - 16 = -u. Let a = c - -7. Suppose -a*z - 5 = -14. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*s = -18, -4*c + 3*c - 2*s = 2. Let p be (1 - 2)\/(-1)*0\/c. Suppose 2*z = -3*v + 52, p*v + 5*v - z - 65 = 0. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**3 + 2*c**2 + 15*c + 2. Let o(p) = -4*p**3 - 3*p**2 - 15*p - 3. Give -2*o(q) - 3*x(q).\nAnswer: -4*q**3 - 15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(3\/(24\/(-8)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**3\/3 - z**2 - z + 9. Factor i(b).\nAnswer: -(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3575*o**4 + 12*o**2 + 84*o - 8308?\nAnswer: -42900*o**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + ((sqrt(130) + sqrt(130) + sqrt(130)*-1*-1)\/(sqrt(70)\/(-1*sqrt(7)) - sqrt(10)))**2 + -5).\nAnswer: 327\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s + 4. Suppose 0 = 2*a + 206*a - 1872. Let l(i) = -12*i - 17. Give a*y(c) + 2*l(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 0.5 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -56\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1250)\/(-40)*12\/(-210)*-7)\/((-15)\/30).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 4*l - 32. Suppose 3*x - 7*x - 32 = 0. Is l smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = -205. Suppose 4*n - 7 = c. Suppose 2*m = 6*m + n. Which is bigger: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -29. Let o = -1 - -12. Calculate the remainder when o is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.2 (c) -124623913\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-9)\/(-45)*10\/146). Let v = g - -78. Solve j = 2*j + v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 738 and 24?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 452270233*i*t - 594603412*i wrt t?\nAnswer: 452270233*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -150890*0.4\nAnswer: -60356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4 + 1524*h**3 + 37418*h**2 - 85524*h - 121419 = 0.\nAnswer: -1499, -27, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 70*r**2 - 300*r - 360.\nAnswer: -5*(r + 2)*(r + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*v**5 + 38 - 3*v**2 - 40 - 8*v**2 wrt v?\nAnswer: -3000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3 - 1 = 0. Let d be (g - -1)\/(0 + -1). Solve 0 = -r - 4*x - 7, d = 3*r - 0*r + x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.116851 millilitres to litres.\nAnswer: 0.003116851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-30) + (-2)\/(-6). Let p = -38354 - -728728\/19. Which is the second biggest value? (a) p (b) 2 (c) x (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m + 15*m + m. Let k(o) be the third derivative of 0 + 1\/12*o**4 + 8*o**2 + 0*o + 0*o**3. Calculate s(k(c)).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.10152 - -0.06248. Which is the closest to -2\/5? (a) 1 (b) -4\/5 (c) 4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 3053383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -28, -2\/155, -1, -0.3?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60871, 122115, 183359, 244603?\nAnswer: 305847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*c**3 + 58*c**2 + 12*c.\nAnswer: 2*c*(c + 3)*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.107228121 rounded to 5 dps?\nAnswer: 0.10723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3, -21\/43, -2\/7?\nAnswer: -21\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27289 divided by 5.\nAnswer: -27289\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 2) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/11 - 68*g\/11 + 186\/11 = 0.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2768 = 277*p + 556 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*z**4 - 3*z**3 + 1071*z**4 + 3*z**3)*(z - 14*z - 2*z).\nAnswer: -14235*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 465*l**3 + 20*l**2 - 20*l + 2. Calculate the remainder when 1877 is divided by x(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:06 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53583569 by 3.\nAnswer: 53583569\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 9*r - 135. Let b be o(12). Let x = b + 351. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30313.47 nanometers to kilometers.\nAnswer: 0.00000003031347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.39097 years to decades.\nAnswer: 6.739097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 88.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) 3\/5 (c) 5\/29554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 33. Calculate the smallest common multiple of d and (-94 - -4)*15\/(-45).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 13*f**8\/48 - f**7\/35 + 164*f**5\/15 + 435*f**2. What is the third derivative of x(j) wrt j?\nAnswer: 5460*j**2 - 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 5:14 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((580\/(-1392))\/(2\/6))\/((-1)\/20)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 20*b**2 + 3*b + 7. Let s(w) = -121*w**2 - 17*w - 42. Let p(t) = -6*s(t) - 34*y(t). Differentiate p(j) with respect to j.\nAnswer: 92*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 4*q - 105 = 0. Suppose q = 5*i + 6. Suppose 2*p = i*p - 2. What is the remainder when 3 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 409827 and 757559?\nAnswer: 24999447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -320185072341 and -10?\nAnswer: 320185072331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -54079?\nAnswer: -16\/54079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2284.8 + 2285. Let o = 0.02 - -2.98. Let d = -3.1 + o. Which is the nearest to 0? (a) d (b) q (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - ((sqrt(468) + 1)**2 - sqrt(13)) - -3*sqrt(117).\nAnswer: -469 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o + 4. Let v(d) = -3*d + 7. Let p(y) = -y. Let i(c) = -4*p(c) + v(c). Let w be i(o). Let u(t) = t**2 - 3*t. Let f(b) = b. What is w*u(r) - 3*f(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 702 divide 2327539266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-672)\/60)\/(-8))\/((-224)\/280).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474865 is divided by 52751?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 4*j + 1. Let o be h(2). Suppose k - 21 = -3*l, o*k - 3*l - 52 + 1 = 0. What is the remainder when 81 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5334, 10552, 15770, 20988?\nAnswer: 26206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 6*k**2 - k + 1. Let g be i(6). Let h = g - -26. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516243.81 - 0.60057?\nAnswer: -1516244.41057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 118493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + sqrt(1539))**2 + sqrt(19) - sqrt(19))*3 + ((sqrt(228) - (sqrt(228) + -4*(1*sqrt(228) - sqrt(228))))\/(sqrt(24)\/sqrt(32)))**2.\nAnswer: -18468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141.99998402 + 142. What is k rounded to 7 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = 1. Suppose 0*c = -c + b. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0851 and -0.115.\nAnswer: -0.0097865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2 - 5) + 18 + -41 + 54?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -8243572?\nAnswer: -1\/4121786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -63 (b) -2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (15\/25)\/3. What is the nearest to 2 in -3\/5, n, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 106.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4*p = 14*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*w - 724, 3*w - 286 - 276 = t. What is the common denominator of -3\/16 and (-3)\/6 + w\/21?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 4. Let z be f(2). Let l be z\/(-8)*(-4)\/10. Which is the closest to 1? (a) -5 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/98)\/((-330)\/53515) and (-6)\/(3402\/1125) + (-2)\/(-21).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - d - 22, 5*m = -3*d + 102 - 36. Let q be m\/(-5) - (-2)\/5. Which is the second biggest value? (a) q (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -12*p + 8*p - 8*p. Let k(m) be the first derivative of 2*m**2 + 8700. What is f(k(g))?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 17*g + 35. Let v be f(15). What is the closest to 9 in 4\/3, v, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o - 344. Let d be (-16)\/72 + (2310\/27)\/(-2). Let j be x(d). Solve j = -4*m + 8*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -418 and -0.0009.\nAnswer: 0.3762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 5. Suppose 3*w - 20 = 5*l, 2*l = -5*w + 3*l + 26. Let m(d) be the third derivative of d**5\/60 - 2*d**3\/3 + d**2. Give w*m(y) - 4*p(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-22)\/11)\/2)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2. Let w(t) = 20. Let i(d) = -d**2 - 4. Let k(v) = 20*i(v) + 4*w(v). What is k(f(m))?\nAnswer: -80*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-1\/4)*j)*j)\/j**(1\/3))\/(j**1)**(1\/2) assuming j is positive.\nAnswer: j**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 23*b + 6. Let p be s(10). Suppose -2*j = -5*j + p. Suppose -3*l - 2*c + j = -l, 0 = 4*l - 5*c - 24. Solve 3*t - l*t - 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/17 (c) 2.558\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4 + 2737*v**3 + 10976*v**2 - 32892*v = 0.\nAnswer: -6, 0, 2, 2741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.95 - 9.97. Round y to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90304 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 11:43 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/7 and 13\/256.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - -110?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2050911 and 21901?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35.4 + 62. Let j = -26.60000903 + b. Round j to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 2306172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-6)*(-258)\/(-1204)*-1)\/((-2)\/92)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4206879509.\nAnswer: 7, 19, 31630673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 38\/15*u**3 - 1\/75*u**6 + 0 - 1\/25*u**5 + 13\/30*u**4 + 117*u + 24\/5*u**2. Determine o, given that v(o) = 0.\nAnswer: -3, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b4 + -8?\nAnswer: 2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + ((5 + sqrt(45))**2 - (-3*1*sqrt(5) - sqrt(5))**2).\nAnswer: -13 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2219380 is divided by 5130?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47600 and 171360.\nAnswer: 856800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 11340221?\nAnswer: 11340212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 223758954 + -3624.\nAnswer: 223755330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4 + 45292*d**3 + 45296*d**2 - 45292*d - 45294 = 0 for d.\nAnswer: -1, 1, 22647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 114, 134, 172, 234?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26583194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 654 - 226. What are the prime factors of t?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, i: 10, j: 2}. What is prob of picking 2 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = 0. Suppose n = 3*f + 9, 2*v - 7*v - 2*f = -4. What is the derivative of 5 - 9*y**4 + 16*y**4 - 4 + v wrt y?\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 1, 2\/43, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w - 4*w**3 + 11*w - 2*w to k*w + l*w**3 + h*w**2 + q and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 194218 >= 194221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4494229057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4796*h = 2487*h + 2524*h + 19135 for h.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-12)*3*(-4)\/(-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1640329 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 467438 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -8.7. Let v = l - -6. Let d = 0.2 + -0.1. What is the nearest to d in 5, 2\/3, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i*i**(-5)*i))\/(i**(-3\/17)*i) assuming i is positive.\nAnswer: i**(88\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637019079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538641 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13288653043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-20))**29*(((m*m**1)\/m)\/m)**(-26) assuming m is positive.\nAnswer: m**609","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**8\/5040 + w**7\/1260 + 2*w**3\/3 - 2. Let f(q) be the third derivative of g(q). Factor f(k).\nAnswer: -k**3*(k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180822698 rounded to the nearest one million?\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - 10\/(-4)*4\/(-5). Suppose 0 = r*o - 4, m + 2*o = -3*o + 56. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -10 + -10 + (-1 - -14 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from mjjjbjbjbbjm.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045582 is divided by 1045564?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 212665 + 2?\nAnswer: 213000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppr when three letters picked without replacement from prppppprprrprp.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s - 30. What is p(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (-4*((sqrt(228) - sqrt(228)*1) + sqrt(228)) - 2*sqrt(228)*1)\/(sqrt(96)\/(6*sqrt(128))).\nAnswer: -144*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + j. Let f(v) = 7*v**2 - v + 18. Let s(z) = 2*f(z) + 2*r(z). What is the first derivative of s(g) wrt g?\nAnswer: 32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - 4*l - 8. Calculate the remainder when v(-7) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 + 15*p - 5. Let k(a) = a**2 + 3*a - 1. Let h(b) = -j(b) + 5*k(b). Let c(q) = -31*q. Give h(c(o)).\nAnswer: -1922*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: c60 (base 15) to base 6\nAnswer: 20530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215478 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210423031 - 0?\nAnswer: 210423031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 456 - 341. Let k be (4\/3)\/(4\/366). Let u = k + -32. Calculate the remainder when u is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**22\/((s*(s*(s\/(s**(3\/8)*s))\/s)\/s*s)\/s)*s**12\/s*s*s*s\/s**(-6\/19) assuming s is positive.\nAnswer: s**(5577\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 985611 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*m - 6*m**2 + 176*m**3 - 124 + 124.\nAnswer: 176*m**3 - 6*m**2 - 71*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (40*18\/11340)\/(8\/6)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/14893?\nAnswer: -3\/14893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -369056 (base 11) in base 10?\nAnswer: -583039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 - 12312?\nAnswer: -12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -8*j - 20. Let i(k) = k**2 + 3*k - 6. Let r be i(j). Is 5*382\/r*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/230*(-322)\/(-98)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/94?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*q - 6294 = -3260 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 63. Suppose r*h = -4*q + 114, -75 = -3*q + 3*h - 0*h. Suppose -4*j - q = -5*g - j, 31 = 5*g + j. Is g at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 1259250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.52 * 597.\nAnswer: -310.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 13*n**2 - 21*n + 16. Let p be v(-11). Solve -9 = 3*c, -2*q - 3*q - p*c = 25 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*a + 921. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/361053 and 13\/42?\nAnswer: 722106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 304a26 + -4?\nAnswer: 304a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.904 in -0.28, 0.9, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 13. Let w = 9 - m. Let u = -3.98 - 0.02. Which is the nearest to 0? (a) -1\/2 (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(2432\/(-12))*(147\/882)\/(1\/(-4)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51106.13t in grams?\nAnswer: 51106130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2. Let q(f) = -616170*f. Give q(p(u)).\nAnswer: 1232340*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((3*(sqrt(561)*2 - sqrt(561)))\/sqrt(11)*3)\/(sqrt(12)\/(sqrt(4)*-2) + (-2*sqrt(15))\/sqrt(5)))**2.\nAnswer: -144*sqrt(17)\/5 + 5908\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let n(c) = -62*c**2 - 70733. Give j(n(z)).\nAnswer: 62*z**2 + 70733","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 4102 = -2*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858207 is divided by 13200.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + 90. What is the greatest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/13 or -21099?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -13, 0.25, 1\/15, 4\/5, 2.9, 17?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r + 2. Let l(g) = 34*g - 18. Determine -6*l(q) - 52*p(q).\nAnswer: 4*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 27.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykyfffkkfyykkk. Give prob of picking 1 k and 2 f.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53780 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 220?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 25 + 0*o - 2*o**2 - 17 + 3*o. Let l(n) = 4*n + 8 + 4511*n**2 - 2260*n**2 - 2254*n**2. Determine 4*d(p) - 3*l(p).\nAnswer: p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23\/(-99) - (-4)\/(-18). Let u be (-2)\/5 - (-2)\/2*77\/55. Does x = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120367, -120361, -120355, -120349, -120343, -120337?\nAnswer: -120331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13*(0 + 1 + (-7 - -7)). Suppose 4*y = p + b, 7 + 3 = 5*y + 5*p. Solve -y*c - 18 = -4*i, 4*c + c = 4*i - 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**3\/6 - n**2\/2 - 87*n + 3. Let l(s) = -3*s - 5. Calculate -l(m) + 6*p(m).\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81630 + 1.3.\nAnswer: -81628.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22692608.\nAnswer: 2, 88643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -120, -308, -600, -1014, -1568?\n\"Answer: -3*j**3 - 25*j**2 - 6*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2. Let b(q) = -40295*q**2. What is n(b(r))?\nAnswer: -1623687025*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10785469.5 + 2?\nAnswer: -10785467.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/441 and 52\/15.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15740 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-11\/4)\/((f**(-1\/5)*f)\/f))\/(((f\/(f*f**(-2\/59)\/f))\/f)\/f**(2\/55)))**(-3) assuming f is positive.\nAnswer: f**(99201\/12980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -569, -870, -1171?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11474287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1)*(-3)\/(-27)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o - 6. Suppose -3*l = -13 - 2. Suppose -l*h = 1 - 11. Calculate the remainder when o is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*q = -5, 5*q = 5*c - 21937 + 21912 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 4*q**2. Let a be p(-4). Let j = 5.52 + -6.02. What is the third biggest value in -2, a, -1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*o + 145, 4*o - 3*o - 48 = -4*a. Calculate the remainder when o is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 6 - (7 + -14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + k**2 + k + 3. Let z(l) be the second derivative of l**5\/20 + l**4\/12 + l**3\/6 - l**2\/2 + 9*l. What is -r(f) + z(f)?\nAnswer: -f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -243540 (base 6) in base 3?\nAnswer: -1002121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10066 and 42686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -484, -853, -1334, -1957, -2752?\nAnswer: -3749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 18 + 12*513\/(-162).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:14 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/22)\/((-18)\/612*17)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 233199, 932823, 2098873, 3731349, 5830251?\n\"Answer: 233213*u**2 - 15*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 346 - 347.848. Let k = f + 1.107. Round k to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 51\/85*(-3 + 88\/36). Put 0, -2.1, z, 0.1 in decreasing order.\nAnswer: 0.1, 0, z, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 + 5152349?\nAnswer: 5152313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14\/17, -877\/2, 7?\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1325*c**3 + 2*c**2 - 2*c + 1. Let w be f(1). Suppose 4*m - 36 = -2*b - 0*m, -2*b = 5*m - 34. Is (11\/b)\/((-2)\/w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -33906\/23, -3 in descending order.\nAnswer: 0.1, -3, -33906\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 3) + -14 + 18 - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1\/3. What is the nearest to 1 in 1\/5, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 455 or -2?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1445 is divided by 411?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1614\/27438 - 1974\/34?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 2\/(-5) + (-294)\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 727 and 1.\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 + 1. Suppose 13 - 73 = -15*n. Which is the second biggest value? (a) d (b) 2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**2 - 18*r**2 - 34350789*r**3.\nAnswer: -34350789*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/10, 0.2, -68\/9, -2\/7, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6799.17 centimeters in micrometers?\nAnswer: 67991700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*l**2 + 81*l**2 + 8*l**5 + 21*l**5 + 18*l**5 wrt l?\nAnswer: 2820*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 w when three letters picked without replacement from {k: 1, w: 7, t: 6}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/11)\/((-19)\/209*(-2)\/4).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 68. Suppose -3*q - 2*q + 4*w = -33, -9 = -q + 2*w. Solve q*k = g + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lplslslpsslplllpl. Give prob of picking 2 l.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -232042?\nAnswer: 232043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 - 29. Suppose 145 - l = 3*v. Let u = v + 22. What is the highest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 13 = r, -2*k + 4*r = -5 - 5. Solve -j + k*j = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 - -121. Let n = j - 35.9236. Round n to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -12, -5, 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -127, -255, -391, -535, -687, -847?\n\"Answer: -4*n**2 - 116*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.131*-27\nAnswer: 3.537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 3*b - 1. Let l be g(-4). Let z = 257 - 253. Solve z*r + 6 = 3*r + f, 4*f = -r + l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218905932 and 588?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 7*g - 39, 1952*i - 3*g + 18 = 1949*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13496*i**3*v**3 + 6*i**3*v + 2*i**3 + 10*i**2 - 5*v**5 - 25*v wrt v.\nAnswer: -80976*i**3*v - 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412*y = 417*y - 25. Solve -34*z + 31*z = 4*x + 28, y*x = -z - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-1))\/((-3)\/12*62). Let g = u + 67\/279. What is the third biggest value in -2, -5\/2, 0.2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003596 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -16*s**3 - 5*s**2 + 51*s. What is the hundreds digit of i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from racxxxxmmmrmraqqxxma. What is prob of picking 1 a, 1 x, and 1 c?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 154, 548, 1138, 1870, 2690, 3544?\n\"Answer: -9*z**3 + 152*z**2 + z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*i = 83170, 796241 = 14*f + 4*i + 214177. What are the prime factors of f?\nAnswer: 2, 20789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -1 + 1\/3*q**3 - 7*q + 2*q**2. List the prime factors of u(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6656.701 micrometers in centimeters?\nAnswer: 0.6656701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -20*j**2 + 34*j + 238. Determine h(-8).\nAnswer: -1314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*sqrt(136) - sqrt(136))*-2)\/(((sqrt(72) + -2*sqrt(72))*-1)\/sqrt(9)).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/7 - 57411*s\/7 + 919344\/7.\nAnswer: -3*(s - 16)*(s + 19153)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5064 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17836983 to the power of 1\/2, to the nearest integer?\nAnswer: 4223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 17*p**2 + 11*p + 59. What is the hundreds digit of u(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56077 + 56137.001. Let k = x - 60. Let s = k + 4.999. What is the second smallest value in -2, s, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (104\/(-6) - (-264)\/33) + 8. Which is the third smallest value? (a) l (b) 1 (c) 3 (d) -12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*r = 186, 4*y = -y + 2*r + 244. Let d = -530\/11 + y. Which is the nearest to 0.1? (a) d (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467940397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4905*c - 63*c + 3100*c + 3*c.\nAnswer: 7945*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*t - 64, 2*f - 3*t - 8 = 18. Let l be 697 + (-42)\/(-6) + -2. Suppose 0 = 5*i - l - 333. Calculate the remainder when i is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + 18 - 363\/51. Suppose -y - 72 = 5*d, 1 = -3*d - 2*y - 45. Let b be ((-3)\/(-2))\/(d\/(-4)). Put u, b, 0.04, 4 in descending order.\nAnswer: 4, b, 0.04, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3011 - 0.307477. What is w rounded to 4 dps?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 91289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.463828 milligrams in grams?\nAnswer: 0.001463828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4769419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126881932?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1476658362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 30. Calculate c(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451720 is divided by 4033?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2115)\/(-14100)*(-20)\/18 + ((-2308)\/(-24))\/1\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1053)*3)**2.\nAnswer: 37908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(396))**2 - (sqrt(176)*1 + sqrt(11))) + -5*(sqrt(11) + (-1 + sqrt(704) - sqrt(704))) + -1.\nAnswer: -22*sqrt(11) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.61 + -0.41. Let l = 1.2 - b. Let g = 0.4 - -0.1. What is the closest to -2 in l, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 42*z**2 + 79*z + 57. Let c be o(-19). Let u(n) = 4*n - 1 - 6*n + n**2 + 0*n. Calculate u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:38 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 5, -125039, 0.1, -1\/10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 33 + 77. Calculate the lowest common multiple of (7\/((-49)\/224))\/(-2) and c.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 145627824 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5) + (-27)\/180\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4707 greater than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 456865483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -7. Let s = -0.24 + 0.2. Let o = -3.04 - s. What is the smallest value in t, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 575\/4 (c) -2\/19 (d) 5 (e) -31\/17 (f) -1\/12 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 + 27*g - 4. What is the units digit of v(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9644 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33271 is divided by 188.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3*n)\/(n**7\/n*n))**32 assuming n is positive.\nAnswer: n**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1853547 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226723321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 227714737 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/20)\/(12\/20).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**4 + 688*u**3 - 696*u**2 - 688*u + 692 = 0.\nAnswer: -173, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -605 + 1008. Let u = 408 - j. Solve 4*v + 23 = -3*d, -d + 26 = -3*v - u*d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5.016, 3\/7, 22\/5, 0.5?\nAnswer: -5.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 1\/3, 0.5, -6 in decreasing order.\nAnswer: 0.5, 1\/3, 2\/21, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-9) + (-1)\/2. Let v = -2 + 0. Let z = -106 + 213\/2. Sort v, z, n.\nAnswer: v, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((2 - 2) + -1)\/(2\/(-8)). Suppose -3*i + 12 = 4*p, -i - 12 = -4*p + w*i. Suppose 0*n - 12 = -p*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-351)*9\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 16 = t. Let y be (-98)\/(-35) + 2\/t. Suppose -48 = -3*z - y*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + -65. Let y be k\/(-25) - 1\/(-5). Solve 7*z = -f + y*z + 16, 3*z = 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -31, 3 in decreasing order.\nAnswer: 5, 3, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5785826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64\/7055 or 1?\nAnswer: 64\/7055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w + 41 - 41.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3641161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -213963937\/4404 + 48584. Let u = -557028653535\/90946824904 - -2\/92929317. Let m = w + u. Find the common denominator of -37\/18 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.185 - -2.815. Which is the closest to 4? (a) -3\/7 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 8. Suppose 3*y + 3*m = -m + 10, 2*m = -3*y + 14. Let s be q(y). What is u in 7*u + 4*u**2 + 0 + s + 5*u - 3*u = 0?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.042+0.10026\nAnswer: 0.05826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, -0.1, -3\/2, 2\/7, -533.\nAnswer: -533, -3\/2, -0.1, 2\/7, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -38614.\nAnswer: -9\/38614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 3*k - 7. Let b be ((-56)\/21)\/(-2) + (-20)\/(-12). Give m(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) - (-44)\/12. Let i(z) = 17*z**2 + 11*z - 1. Let a(t) = 3*t**2 + t. Let v(g) = -6*a(g) + i(g). Determine v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1636, -1, 0.103, -2, 1\/9 in increasing order.\nAnswer: -2, -1, -0.1636, 0.103, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 2*t**2 - 2*t - 6. Let s be k(-4). Suppose -2*i + 86 = -16. What is the highest common factor of s and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*v + 5198 - 5319, 0 = n + 7*v + 13 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -87*q - 7. Let m(o) = 44*o + 4. Let v(i) = -3*f(i) - 5*m(i). Find the first derivative of v(s) wrt s.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(5)*-1*-1 - (sqrt(90)\/sqrt(2) + 3 + sqrt(20) + sqrt(5))**2) + 1).\nAnswer: 38*sqrt(5) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 187464557591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -286842, -286840, -286838, -286836?\n\"Answer: 2*q - 286844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1853158587.\nAnswer: 3, 7, 12606521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6434, -16244, -29442, -46034, -66026, -89424?\n\"Answer: -g**3 - 1688*g**2 - 4739*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**3*p*s*v + 3000*o**3*p*s - 127*o**3*p - 74831979*o*s*v - p*s + 6*s wrt v.\nAnswer: -2*o**3*p*s - 74831979*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-8))\/((-3)\/12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -41, -110, -249, -482, -833?\n\"Answer: -4*f**3 + f**2 + 2*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 17, u: 3}.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000073959 rounded to 7 dps?\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a microgram in nanograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 3. Let o = 2.4568 - -2.5432. Let a = -0.3 + 0. Sort o, a, q.\nAnswer: a, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -169 + 1?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqvvvfvfemcf. What is prob of picking 2 f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(1 + 100194\/(-100200)). What is h rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/8 (b) 2219 (c) 13 (d) 0.344\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 0 - s + 0. Let r(a) be the second derivative of 0*a**2 - 2\/3*a**3 + 0 - a. Determine r(o(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = -2*m - 5*v, 3*m - 4*v = 14. Is 8 a factor of 21\/m*(3 + 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17416 + 17419. Let k(q) = -q**2 + 5*q + 5. Let t(w) = -2*w**2 + 10*w + 9. Determine h*t(a) - 5*k(a).\nAnswer: -a**2 + 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/25 and -58\/33465.\nAnswer: 167325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423674730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 9*i**2 - 11*i + 15. Let t be a(10). Suppose -t*y = z - 61, -6*y + 4*z = -4*y - 20. Solve 2*c - y = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(66)*-2)\/sqrt(11) - sqrt(6))\/(sqrt(3) + sqrt(9)\/sqrt(3)*-3) - ((1 + sqrt(128))*1*5)**2).\nAnswer: -3225 - 797*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**5*o + 4534*h**4*o**2 - 59229*h**2 - h*o**2 wrt h?\nAnswer: 120*h**2*o + 108816*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*u**2 - 5*u**4 + 0*u**4 - 6 + 4 to j*u**2 + h*u**4 + l*u**3 + q + b*u and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17377, 34772, 52167, 69562, 86957?\n\"Answer: 17395*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 166, 140, 126, 130, 158, 216?\n\"Answer: v**3 - 33*v + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2 - v**3 + 7*v**2 + 7*v + 2*v**2 - 2*v**2 - 3. Calculate c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 14\/414653?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21959879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 11*l**2 - 11*l - 1. What is d(12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3334 + 73385\/22. Let h be 55001\/(-4) + (-3)\/(-12). Let c = h + 302435\/22. What is the common denominator of c and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 28 = -4*o. Let y(k) = 5*k - 11*k + o*k - 3*k. Let j(z) = 3*z**2. Determine j(y(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 + 81. Let w be (-2)\/z*(9 - (-167 - 4)). Calculate the greatest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37424680.823014 and 0.2.\nAnswer: 37424681.023014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705650 (base 12) to base 2.\nAnswer: 110101011100101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2)*-6 - sqrt(832)*2.\nAnswer: -22*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 7*b**4\/4 - 7*b**3\/3 - 7*b**2\/2 + 164*b - 292. Is m(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -16713\nAnswer: -2\/16713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*p + 8, -4*i - 6 = -3*p - i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8621?\nAnswer: 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-1) - -1)*-1. Let a(y) = -8*y + 2. Let p(o) = o - 1. Let g be (4\/6)\/((-4)\/(-6)). Let d(r) = g*p(r) + j*a(r). What is d(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8\/19 (b) -1\/12 (c) 700\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + 14*h**2 + 22*h. Let z be f(8). What is u in 24*u**2 - z*u**2 - 5*u**3 + 9*u**3 = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 44. What is the greatest common factor of d and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477402180 to the power of 1\/3, to the nearest integer?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -22, -11, 2, 17, 34?\n\"Answer: i**2 + 6*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -40. Let m = -9 - -15. Let g be -1 + -2*m\/4. Put 2, l, g in descending order.\nAnswer: 2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3.1. Let i = -107 - -109. Let s = 2\/33 + -37\/66. What is the nearest to q in i, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.1 take away -0.08121?\nAnswer: -20.01879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -10152?\nAnswer: -10203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*r**3 + 7*r - 7*r + 10 wrt r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 29, 22, 13, 2, -11?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0)*(4 - 5). Suppose -23*q = 2 - 94. Suppose 2*r + y = -6, q*j - 28 = 4*r. Solve o = -j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/204*12\/(-17)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/20)\/(7\/(-35)*-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*w, -s = -41*w + 40*w - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1633 + -1632.5. Let m = 0.06 + 6.94. What is the fourth smallest value in 3, b, -2\/11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -160*m + 0*m**3 - 11\/2*m**2 + 5\/4*m**4 + 0. Let k(p) = 4*p**2 - 3. Determine 22*k(z) - 6*n(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261306 is divided by 43512.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 3:55 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 153515*i**2 + i - 1. Let n be m(-5). Suppose 5*u - n = -923739. Let y = u + 107174. What is y rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/75 and -89\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/5 + 8084*q**2\/5 - 7097234*q\/5.\nAnswer: -2*q*(q - 2753)*(q - 1289)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1957136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -17468821?\nAnswer: 6987528.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*b - 4, -14*z - 5 = -5*b - 13*z. Suppose -l = 5*q + 5, -5*q + 25 = -4*l + 8*l. What is the lowest common multiple of b and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -348362\/3 equal to -116120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28864568 to the nearest integer?\nAnswer: 5373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 124*f**2 + 122*f - 383. Calculate w(-125).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**2 - 18*w**3 + 2*w - 1 + 24*w**3 + 2*w. Let t be z(3). Suppose 0 = 5*r - t - 11. Calculate the remainder when 50 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307173 minus -3?\nAnswer: -307170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 8025?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16838, -66642, -149646, -265850, -415254, -597858, -813662?\n\"Answer: -16600*k**2 - 4*k - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.1 + -1.1. Let b = -12.75 + x. What is b rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 362 and 378?\nAnswer: 68418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43179059 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 411163 or 411162?\nAnswer: 411162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**3*o**2 + 897*i**3*o + 1017*i**3 - 2*i**2*o**2 + i**2 - 9744595*o**2 wrt i?\nAnswer: 24*o**2 + 5382*o + 6102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 5*h = 5*i + 10, h - 2 = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -17\/6*c**3 + 0*c**2 - 1\/4*c**4 + 0 + 18*c. Find the second derivative of s(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 6*a - 5. Let d be g(4). Suppose 4*z - 16 = 52. Suppose s - 5*n - 1 = -2, 3*s = -5*n + z. Solve -s*m - 4 = 4*x, -d*m = -5*m - x - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45809, -99368, -152927, -206486, -260045, -313604?\n\"Answer: -53559*f + 7750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 19 = -15, -4*c - t - 24 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 29. Let j = -422 + 422. Solve j = -n + 3*n - s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 5*g**2 - 11*g + 5318. What is the units digit of s(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 152*q - 446*q + 157*q + 0 + 133*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) -0.109 (c) 0.3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6328733805 to the power of 1\/2, to the nearest integer?\nAnswer: 79553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28431042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472003?\nAnswer: 7, 67429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -147046 = -147034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*n + 4, 3*n + 2*h + 0*h + 10 = 0. Let u be (-4092)\/(-1360) - (-1 + 4). Let a = u + -719\/4420. Sort -2\/19, a, n in decreasing order.\nAnswer: -2\/19, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from xwwxxwx?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-111)\/(-148))\/((-1)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141\/10 + -68\/5. Let h(v) = v**3 + 5 + 0*v**3 - 5*v - 16*v**2 + 21*v**2. Let d be h(-6). Which is the closest to d? (a) -2 (b) t (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10019196?\nAnswer: 2, 3, 11, 25301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 959, 7839, 26553, 63017, 123147, 212859, 338069?\nAnswer: 504693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 694.2587ml?\nAnswer: 0.6942587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Suppose -3*l + 10 - 4 = 0. Suppose 0 = l*d - 4 - 0. Let n(j) = 4 - 4 + 0 - 2*j**d. Determine t(n(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212 + 208.99. Let k = -1.72 - s. What is k rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -24 - (5 - -12)) + 0 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 2*o**2 + 3*o + 13. What is q(3)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -301 (base 6) to base 11\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.4 + 15.7. Which is the fourth smallest value? (a) 1 (b) w (c) -1 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*j = -10, -6 = 3*l - 7*j + 2*j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*m - 8*m**2 - 32*m + 2*m**4 + 19*m + (120*m**2 + 513*m - 513*m)*(-5 - m**2 - 2*m + 5) as n*m + c*m**4 + q*m**2 + o + u*m**3 and give c.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**22\/(r**(-14\/3)*r))**2 assuming r is positive.\nAnswer: r**(154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85813\/(-39606))\/((((-4)\/6)\/(-2))\/(-3)).\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - a + 15. Suppose -a*i + 3*l + 2*l = -100, 2*i = -4*l + 10. Let w = 27 - i. Solve 0 = -0*o - 4*o - w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 0.144 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 845657 + 8731928. Let g = s - 4915517. What is g rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 11. Let l be -68 + 10 - (0 + c). Let d = -4 + l. Which is smaller: -64 or d?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l + 12*l + 4*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 24\/85, -5, -2\/3, 2, 1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72354493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z - 14. Let n be i(-5). Let a = n - -43. Differentiate 17*h - 17*h + a*h**4 - 23 + 0*h**4 with respect to h.\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2387252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, -86, -309, -748, -1475?\n\"Answer: -12*i**3 + 5*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + 2. Suppose -2*n = 2*z + 3 - 5, 2*n = -4*z + 6. What is the greatest common divisor of y and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12))**(-2\/5)*h**(-3\/13)\/(h*h*h**(-3\/7)) assuming h is positive.\nAnswer: h**(1364\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14661450*q**2 + 14661456*q**2 - 3*q + 3*q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 + 40*w**2 + 44*w = 0. What is w?\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115670949 to the power of 1\/3, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 1, a: 1, g: 2, o: 1}. Give prob of sequence zag.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 19*l. Let y be c(9). Suppose -y = 3*h - 15*h. What is the least common multiple of h and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4146 and 333753?\nAnswer: 667506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49248389, 98496780, 147745171, 196993562, 246241953, 295490344?\n\"Answer: 49248391*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3 (b) 4.9 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 13978*y**2 - 2 - 592958*y + 592959*y as k + g*y**2 + r*y and give g.\nAnswer: -13978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 395 - 5?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3490691 - -6036924. Let o = 15321499\/6 - s. Let t = o - 7373. Find the common denominator of t and 149\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 - 344*n - 4*n**2 - 365*n - 319*n - 2 - 2*n**3 + 2*n**2 as j*n**3 + l + m*n**2 + u*n and give u.\nAnswer: -1028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 30*x - 55 = 0. Suppose 5*g - 34 + 4 = 0. Let b(c) = -c - 3. Let r(d) = -d - 4. Determine g*b(k) + x*r(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 13*l + 0 + 16\/15*l**6 + 0*l**5 + 0*l**2 + 0*l**4 - 2\/3*l**3. Find the second derivative of m(k) wrt k.\nAnswer: 384*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 22*l + 20. Calculate v(-18).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 - 5*d**2 + 2*d**2 + 5*d**2 - 14 - d**3 to the form j*d**3 + r*d**2 + g*d + m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6 = 2*q. Sort q, 5, 1\/10 in decreasing order.\nAnswer: 5, 1\/10, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 5*p + 3. Let i be s(-3). Let c(t) = -4*t + 2. Let v be c(2). What is the units digit of 40\/v*i\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -103*s + 511. Let l be i(5). Let r be (23 - 3)*(-1 - -2). Suppose -7*n = -3*n - r. Sort l, n, 1 in descending order.\nAnswer: n, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 20*b**2 - 19*b - 1. Let i(p) = p**3 - 7*p**2 - 5*p + 19. Let w be i(0). Give t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Suppose 0 = 2*s - r - 45, 0 = -z*s - s + 5*r + 36. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = o, -3*h + o = 2*h - 3. Let i be (-354)\/90 + 7 + (-3)\/h. Let z be (-91)\/104 - 1\/8. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 225\/2 + 6*s**2 - 309\/2*s.\nAnswer: 3*(s - 25)*(4*s - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 20*l**2 - 18*l + 19. Let d be a(-19). Suppose d = -4*s + 4 + 4. Let n be 3 + (s + -4 - -74). What is n rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 36*s**2 + 3*s - 22. Let m be (6 + 8)*3\/(-6). Is o(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 + 99901\nAnswer: 99901.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 7*a**6\/120 + a**5\/30 + a**2. Find the third derivative of n(c) wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 3*y + 3*y + (0 + 4 - 3)*(5*y + 0*y - 3*y) - 2*y + 5*y - 2*y + 2*y - 10*y + 0*y + 5*y + 0*y - 3*y)*(-5*y + 0*y + 3*y)*(-74 - 218 + 282 + 1298).\nAnswer: 5152*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -24981?\nAnswer: 24984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 + j**2 - 2*j - 2. Let r be f(-1). What are the prime factors of (-10 + 11)\/(r\/(-138))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = 181*m - 177*m - 204, m + b = 51 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 367310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -91395 less than -91395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54 - 47 - (1 + 1). Put 0, -2, g, -58 in increasing order.\nAnswer: -58, -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156 + -257. What is q rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 149*f - 33*f - 2 - 49*f - 85*f - 69*f. Let z(h) = 2*h. What is z(l(x))?\nAnswer: -174*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 81200807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*u*z**4 - u*z**2 + 305*u*z + 23*u + 175574*z**4 - 21*z + 8 wrt z?\nAnswer: 96*u*z**2 - 2*u + 2106888*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 13. Let r be (-4)\/8 + y\/4. Let g(h) = h**2 + h - 2. Give g(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29173 + 3227 = 24*c. Is c a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 7424*d - 199820. Determine m(27).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2710 + -2709. Let v = -2 - -15. Calculate the smallest common multiple of s and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.92 - 0.08. Let r = -6 - z. Let n = -1.4 - r. What is the second smallest value in 0.07, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.013 * -0.07\nAnswer: -1.33091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 6*b**2 - 1\/8*b**4 + 0*b**3 - 6 + 1\/12*b**5 + 0*b. Let h(d) = 2*d**2 + 2*d**2 - 2*d + 0*d. Give -5*f(y) + 6*h(y).\nAnswer: -y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -3271ef?\nAnswer: 3271f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z - 46*z + 40 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + -2 - (8 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 24 = 3*f. Suppose 4*k + 1 = -c, -5 = -2*c - f. Calculate the greatest common divisor of k and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27 - 6\/(0 + -3). Suppose -2*z = -5*r - i, -z - 3*z + 43 = -5*r. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*x + 8*x. Suppose -z + 2*z = 5. Suppose z = -y - x, -5*t + 1840 = -3*y. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + -4. Let d = g + 48. Which is the nearest to 1? (a) d (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r + 587 + 606 - 1193.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -5, 12, -16 in decreasing order.\nAnswer: 12, 5, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -28 + (30 - (-8 - -44))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-6\/7))\/i)\/i*i\/(i*i\/(i\/i**(-2\/45)*i)))\/(i**(1\/6)\/(i\/(i*i\/i**(-2)*i))) assuming i is positive.\nAnswer: i**(-3137\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 38*n - 26*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.1. Suppose 11 = 2*p + 9. Let c be 1*(1 + -2) - -3. Sort c, r, p in decreasing order.\nAnswer: c, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231026*f + 4*f**2 + 115510*f + 115516*f + f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13017381, 26034738, 39052095, 52069452, 65086809?\n\"Answer: 13017357*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044264 - 8.3?\nAnswer: -8.344264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 6*z - 8. Suppose -z*w = 4*t + 20, -3*w - 6 = 3. Let n be (5\/(-15))\/(t\/12). Solve 0 = -f + 3*f + 6, -3*y - n*f - 15 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 15. Let o = f - 0. Which is the nearest to o? (a) -5\/6 (b) -1 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -5 - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20786 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqlqlqqlqlqql. Give prob of picking 1 q and 2 l.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*t = 3*q + 3, 5*q + 3*t = -39. What is the common denominator of ((-2)\/q)\/((-15)\/130) and 59\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 + -107 + (15 - 2) + -15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5820 + 5819.1. Which is the closest to -2\/3? (a) -20 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 0 + 2 + 42016\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, 6, -5, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8450316 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 m when four letters picked without replacement from {w: 1, m: 3, s: 4, a: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311622917?\nAnswer: 37, 8422241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 17 - 24 = -11, 2*z + 3*h = -11 + 24 + 23 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11022103, 11022105, 11022107?\nAnswer: 11022109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 573897 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: Calculate the greatest common factor of 13377 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 175, 91, -57, -269, -545, -885, -1289?\n\"Answer: -32*j**2 + 12*j + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20078.08 seconds to nanoseconds.\nAnswer: 20078080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 254 = 2*x. Let a = x + 157. Let p = -3 - 0. Put a, p, -1, 2 in descending order.\nAnswer: a, 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i**3 - 37*i**2 - 29*i + 149. Let g(n) = 12*n**3 - 56*n**2 - 44*n + 224. Let t(z) = 5*g(z) - 8*u(z). Solve t(j) = 0 for j.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 - 4*s**5 + 0*s**5 + (-191*s**3 - 9*s**4 + 3*s**2 + 191*s**3)*(25*s + 17*s - 10*s).\nAnswer: -294*s**5 + 96*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) + 22\/6. Suppose b - 4*t = 7 + 1, p*b - 4*t = 8. Suppose b = 5*k - k - 20. Solve -1 = -k*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*o**2 + 14*o**2 + 18*o**2 as j + s*o**2 + z*o and give s.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.94 + -0.06. Let s = 1.1 + g. Let j = -1\/114 - -7\/76. Which is the second smallest value? (a) s (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)\/(y**11*y*y)*(y**(-1\/2)*y*y*y)**(-7\/3))**(-2\/15) assuming y is positive.\nAnswer: y**(31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w**2 + 0*w**2 + 16*w**2 + w**2 + 112*w**3 + 5*w**2.\nAnswer: 112*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (524 - 525 - (-1 - (3 - 2))) + -3 + 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 1:05 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -24*i - 8. Let r be l(-12). Let k = 2419\/4 + -12309\/20. Calculate the common denominator of k and (-6)\/(-2) + r\/16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 10*z - 2 + 0 + 5.\nAnswer: -10*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 6:18 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1. Let q = 1 - 3. Let j(k) = -k + 1. Let z(u) = -3. Let m(x) = -j(x) + z(x). Let c(o) = q*n(o) + m(o). Give c(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k*l**3 - 8716*k*l**2*y**3 - 118*k*y**3 + 2*k + 2*y**3 - y with respect to l.\nAnswer: 12*k*l**2 - 17432*k*l*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 12. Let h be o(5). Let f = h - 33\/2. Let q be (-24)\/(-7) - 2 - 1. What is the third biggest value in f, q, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 160588 = -15189. What are the prime factors of h?\nAnswer: 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, 214, 760, 1826, 3586?\n\"Answer: 29*r**3 - r**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.53456 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3593 - 0.0948?\nAnswer: -3593.0948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 2. Let r be (-9)\/(-5) + 7\/35. Suppose -o - 1 = -r*p, 3*o + 5*p = 2*p + 15. What is the remainder when g(4) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d132e (base 16) to base 4.\nAnswer: -13101030232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + (-152 - -19) - 51.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(1\/(9\/2)). Let j(s) = -4*s + 3. Let v(x) = -4*x + 3. Let l(n) = -7*j(n) + 6*v(n). Is l(t) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 12*o + 5. Let m(l) = 4*l**2. Determine m(n(q)).\nAnswer: 576*q**2 + 480*q + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*u + 37 - 37.\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13679, 13680, 13683, 13688, 13695?\n\"Answer: q**2 - 2*q + 13680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -292.24 + 164.27. Let w = -128 - a. Which is greater: -9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -13, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2400413861 to the nearest integer?\nAnswer: 48994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-468)\/91)\/(-2))\/(20\/(-6370)*13)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/5 - 421981*x**2 - 1112917392552*x\/5 + 7790525133552\/5.\nAnswer: -(x - 7)*(x + 1054956)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453394 bigger than 2453394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from rgrgggrbgbobg?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. Let f = 22.5 - 22.11. Let n = f - -0.11. Which is the closest to 1? (a) j (b) n (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**3 + 2*i**2 + 3*i + 2. Let c(n) = -95*n - 378. What is the lowest common multiple of r(-2) and c(-4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/228 and 79\/2494.\nAnswer: 284316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 24. Let s = -4.12 - -0.12. What is the nearest to s in 2\/3, f, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 10 = 5*r, 7654*w + 3*r + 2*r - 3*r = 7658*w - 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78631681*w**2 + 23577193*w.\nAnswer: -157263362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5776, -11998, -18218, -24436?\n\"Answer: i**2 - 6225*i + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (1 - 5)) + -2 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194 at least as big as 6135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -4, 2\/5, 3, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5))**(-20)*((v\/v**(-2))\/v)**(-2\/47) assuming v is positive.\nAnswer: v**(372\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*q**5 + 19 - 19 + (-46 - 20*q + 46)*(2*q**4 + 4*q**4 + 2*q**4).\nAnswer: -140*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2723 divide 65516802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/129789301 or -1?\nAnswer: -2\/129789301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26014871089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 39 = 3*d, 2*d = -t + 6*d + 32. Suppose -10*o = 2*o - t. What is the third derivative of 19*j**o - 14*j**3 - 21*j**2 + 10*j**3 wrt j?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 355\/15 - -3 - (-2)\/(-3). Suppose 21*w + 10 = f*w. Calculate the remainder when 4 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b + 5*b)*(2*b + 3*b - 4*b)*(-430 - 43*b**2 + 2*b + 430).\nAnswer: -129*b**4 + 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 674, -657, -2876, -5983?\n\"Answer: -444*j**2 + j + 1117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.27 - -3789.9713452.\nAnswer: 3791.2413452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 251*t + 10. Determine b(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 12. Suppose p*x + 10 - 55 = 5*b, -2*b = -4*x + 66. Solve -3 = -4*y - x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -11, -24, -33, -38?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -52\/167?\nAnswer: -52\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -9 - 9 - (1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(112) + 1) - (sqrt(112) + 1 + sqrt(112)*-2 + sqrt(112) - sqrt(112)))*4)**2.\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -67. What is the remainder when 93 is divided by (l + 14)*(2 - 1 - -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 509c82 - -1b?\nAnswer: 509ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0509821 tonnes in nanograms?\nAnswer: 50982100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 22*m**2 + 89*m. Let p(r) = 50103*r. Calculate x(p(c)).\nAnswer: 55226833398*c**2 + 4459167*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 40 = -56*d + 50*d, 0 = -4*b - 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -230 and -0.2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -l + 4, -l - 3 + 2 = 0. What is the closest to 0 in c, 14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.116629 and -41 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 26.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -323 + 38. Solve -7 = 4*a - s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 7*c - 11. Let l be w(8). Let j be (34\/l)\/(8\/(-9)). Let y = -13 + j. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 21. Suppose 5*g + 4*v - 6 - 3 = 0, 4*v = 5*g - 1. What is the nearest to g in a, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 5051909\nAnswer: -4\/5051909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + x**2 + x - 2. Let p be b(0). Let q = p + 1. Is (-1)\/(q\/20) + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Suppose -15 = 6*k - j*k. Let q be k\/(-52) + 5\/(-20). Is q <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 1:23 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -13*s**2\/2 - 39*s - 146. Let y be c(28). Which is greater: y or -402?\nAnswer: -402","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 18*i**3 + 5*i**2 + 11*i - 9. Let o be (-846)\/(-126) - (-4)\/14. Let k be c(o). Suppose -5*p + k = 1922. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125838753 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/13, -5, -0.04, -0.1756, -1.503?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2215282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*m - 204. Is m a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211110 (base 3) to base 2.\nAnswer: 1001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/5))**(-39)\/(((f*f**(2\/5))\/f)\/f)**(-2\/69))**32 assuming f is positive.\nAnswer: f**(-86176\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*p - 30*p + 3672 = 49*p for p.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61979332 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: Suppose -5*h = -2*n + 5*n - 91751, 4*n + 5*h - 122338 = 0. Let j = 6013 + n. What is j rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (27 - 17 - -15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-28))\/(32\/(5120\/60))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 4*a - 24, 0 = 1109*n - 1110*n - 4*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-18) - (-9 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 325550 or 325543?\nAnswer: 325543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*z)*(-2*z**2 + 836*z + 3 - 1860*z + 717*z).\nAnswer: 4*z**3 + 614*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - -159. Calculate the greatest common divisor of p and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*w**4 - 4*w**3 + 858*w?\nAnswer: 1380*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 5. Let g = 4 - 1. Let h = -1.7 - -6.7. Which is the closest to -2\/3? (a) g (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*b = 15, -3*n - 13*b = -16*b + 6. Which is greater: 3\/299 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 822786568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -513556759, -513556761, -513556763, -513556765, -513556767?\n\"Answer: -2*y - 513556757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 298206*l\/5 - 596404\/5.\nAnswer: -2*(l - 149101)*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*o - 215*o - 59*o**2 + 69*o + 77*o + 19*o**2.\nAnswer: -40*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 21*q**2 - 18*q + 40. Let n be v(-20). Suppose n = -i + 268 - 47. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r - 21 = 0. Suppose -r*k = -36 - 34. Do k and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88*199006\nAnswer: 17512528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 242.2 + -243. Which is the closest to -0.2? (a) 0 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165944373 to the nearest integer?\nAnswer: 12882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 503 - 502.571. Round m to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -633204 divided by 234?\nAnswer: -2706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.119 - -14.119. What is the nearest to -0.2 in f, -1\/9, -157?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000021711 to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 40 = -5*m. Suppose m*c = 4*c + 40. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * 117762.8\nAnswer: 176644.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 + -136. What is the second smallest value in y, -0.2, -3\/2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4\/9 - 160*g**3\/9 + 1168*g**2\/3 - 12160*g\/9 + 11552\/9 = 0.\nAnswer: 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2\/2 - 14. Let h(q) = -2*q. Let r(w) = 2*w. Let j(k) = -4*h(k) - 6*r(k). Calculate j(c(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/(-68) - 26\/(-8). Suppose 2 = -d - f, f + 0 = -x*d + 4. Solve 2*p + 0*p = -j - 11, 0 = d*p - 5*j - 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94302 divided by -1074.\nAnswer: -15717\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -2902.48.\nAnswer: -290.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**4 - 2193*k**3\/2 + 46245*k**2\/2 - 21479*k\/2 - 22575\/2 = 0.\nAnswer: -1\/2, 1, 21, 1075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 736710.8kg in tonnes?\nAnswer: 736.7108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.022 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15436\/559 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t + 3*q = 46, 2*t - 3*q = 65. Calculate the highest common divisor of 259 and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 874614.1 litres?\nAnswer: 874614100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 684205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 24*b**2 + 332*b - 226. Determine m(-34).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*c**5\/5 + 1197099*c**4\/5 + 1195254*c**3\/5 - 23959077*c**2\/5 + 38628*c = 0. Calculate c.\nAnswer: -5, 0, 1\/124, 4, 3219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7207*a. Let p(d) = 12*d**2. Give g(p(x)).\nAnswer: -86484*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 2*x**3 - 3*x**2)*(-18 + 18 + 10*x)*(4 - 1 - 2)*(-4 - 11 + 6).\nAnswer: 180*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(-2*b + 2*b**2 + 2*b + (b - 5*b + 6*b)*(2*b - 3*b - b))*(2*b**2 - 11*b**2 + b**2).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**3 - 7*b**2 + 25*b + 4. Let k(w) = -7*w**3 + 7*w**2 - 28*w - 5. Let p(g) = 5*k(g) + 6*q(g). What is p(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 9) to base 2\nAnswer: 11110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7465*y + 7479*y + 7467*y - 31273*y + 8859*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 196719156 divided by 32786526\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.167595 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 2, 3, 4, -3 in decreasing order.\nAnswer: 4, 3, 2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 788 - 9. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 3*d - 12, 2*w - 5*d + 34 = 21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*1368\/((-456)\/(-19))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4187 + 0.0187. Which is the closest to 1\/2? (a) l (b) 0.12 (c) 3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2 + 1146*c + 328329 = 0.\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q + 0 + 2 + 1. Let b(c) = 7 + 152*c + 82*c - 243*c. What is 6*b(a) - 13*l(a)?\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(10) + sqrt(30)\/sqrt(3))*6)\/(-2*sqrt(605)) + ((sqrt(98) - 4*sqrt(98) - sqrt(98)) + 0)**2 + -3.\nAnswer: -6*sqrt(2)\/11 + 1562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 377*s.\nAnswer: 377*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nehxnmoohomoomo. What is prob of sequence en?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0077 + 0.0077. Let y = -183 - -1645\/9. Which is the closest to g? (a) y (b) -4\/9 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8160 + 2411*i + 8160 - 5*i - i + 3*i + (4 + 0 - 2)*(-5*i + 2*i + 2*i) + 0*i - 2*i + 3*i as x*i + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/25 and 2 - ((-2)\/2)\/((-21)\/99).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 90 = -278. What is the remainder when n is divided by 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22050000 to the nearest one hundred thousand.\nAnswer: -22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 12*z**2 + 11*z - 2. Let t be i(11). Let o be (-3)\/t*(287 + 1)\/3. Calculate the greatest common divisor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000523 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 126, 393, 656, 915, 1170?\n\"Answer: -2*s**2 + 273*s - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.7, -3, 4683924 in increasing order.\nAnswer: -3, -3\/2, 0.7, 4683924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 3*z - 2*z**2 + (-2 + 6 - 3)*(8*z - 8*z - 3*z**2) - 2*z**2 - 2*z**2 + 6*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 4) + -4 - (0 - 4 - -3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-3)*(-70)\/25. Let r = g - -922\/255. Let c = -226 - -225.9. What is the nearest to c in -2\/9, r, 4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -575636*83\nAnswer: -47777788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2154, -0.01, 0, -10 in increasing order.\nAnswer: -2154, -10, -5, -0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h = 22*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(209))\/sqrt(11))**2.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116374?\nAnswer: 2, 31, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t = 3*d - 34*t + 32, 42 = -3*d - 3*t for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -695.05 - -695. Which is smaller: -60 or b?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 0, 0.122, -24, 0.5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 64\/6 + (-14)\/21. Let t be -32*(-10)\/4*r. What is t rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11918 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3) - (-3)\/(54\/12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4094 - -6371. List the prime factors of o.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41697 is divided by 111.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -467 (base 12) in base 15?\nAnswer: -2da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 - 3327*s**2 + 239787*s\/4 - 539703\/2.\nAnswer: -(s - 9)**2*(s + 13326)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((2*sqrt(432) - sqrt(432))\/sqrt(12))\/sqrt(12))**2*-5 - (sqrt(3) - sqrt(324)\/sqrt(12) - -6*sqrt(12))*-1.\nAnswer: -540 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96235, 192476, 288721, 384970?\nAnswer: 481223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1773710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 5 + (1 + 0 + 0)*(-1 + 0 - 1))*((2 - 3 + 2)*(3*o - 2*o + 7*o) - 5 + 5 + o) to the form i + l*o and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 471*r**2 - 597*r**6 - 557*r**6 + 10*r**3 + 1198*r**6 + 1 - 2*r + 3*r**5 wrt r.\nAnswer: 5280*r**3 + 180*r**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351246157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7645 - 7645. Solve -4*g - 1 - 21 = 5*s, 3*g + 3*s + 15 = m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**2\/7 - 107176*w\/21 + 23816\/21.\nAnswer: 2*(w - 5954)*(9*w - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 256\/44 - ((-81)\/99 + 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 334392630 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*o + 3*o. Let r = o + -4. Calculate the remainder when r is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114*b**3*n**2 - 5324*b**3*n + 73*b**3 + 241*b**2*n**2 + 3*b**2 - 31173*b + n**2 wrt b.\nAnswer: -684*n**2 - 31944*n + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1. Let r(s) = s**3 + 4*s**2 - s + 1. Let g(o) = -3*i(o) + r(o). Let c be g(-4). What is the greatest common divisor of 4 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22134 + 5?\nAnswer: 22139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 5*x**2 - 3*x**2 + (2*x - 2*x + 2*x)*(-3*x + 6*x - 2*x) - x**2 - 3*x**2 - 2*x**2)*(24*x**3 + 142*x - 270*x + 131*x).\nAnswer: -120*x**5 - 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -182 - 668 - 1132308*s**2 + 1132313*s**2 - 35*s = 0. Calculate s.\nAnswer: -10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/18, 105, 3, -3 in increasing order.\nAnswer: -3, 5\/18, 3, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 31522790?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -5*v**2 + 20*v - 14. Let r be p(8). Let h = r - -126. Calculate the highest common factor of 44 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*j - 16 = 0, -k + j + 14 = 5*j. Let b = k + -11. Let y(c) = c**2 - c. Let w(r) = 2*r**2 - 3*r. Determine b*y(n) + 2*w(n).\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962*u + 1669*u = 29*u - 49494 for u.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.08812?\nAnswer: 0.35248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45826, 45831, 45838, 45847, 45858, 45871?\nAnswer: 45886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 91 = -44*f. Let d = -40.03 + 40. What is the nearest to 2\/11 in f, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, 2, -5, -3, 1\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -2*w - 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**5\/40 - 11*p**4\/24 + 11*p**3\/3 + 9. Let w(a) be the third derivative of i(a). Differentiate w(u) with respect to u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 5.3368.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 82. Suppose 54 - 54 + 36*s**3 + h*s**4 + 8*s**2 = 0. Calculate s.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665584462 divided by -2?\nAnswer: 832792231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.53 - -42.47. Let g = v - 27. Let a = 15 - g. What is the biggest value in a, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186188 = 4*l + 2*j, -3*l + 182180 = -2*j + 42518. Is l a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -69?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-1))\/(-2)*-34. Let b(v) = -v**3 + 10*v**2 - 17*v - 27. Let x be b(8). Which is smaller: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 11*m - 2. Calculate i(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8322*w + 216403. Calculate k(26).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/11 + 2*v\/11 + 144\/11.\nAnswer: -2*(v - 9)*(v + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -73*h**2. Let f(j) = 2*j. What is f(a(g))?\nAnswer: -146*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29558\/9 + -3284. Suppose r = -4*r - 30. What is the second smallest value in u, r, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 47, 124, 255, 452, 727?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 1805443910.\nAnswer: 1805443910.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 5*b + z + 50, 3*b + 5*z = 10. Let m be ((1 - 2) + 5)\/(3 - 4). Let o = 1.9 + -2. What is the closest to o in 2\/9, b, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/1809 and 109\/23718.\nAnswer: 213462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/1)\/(2\/10). Let j(b) = 2*b - 3. Let l be j(2). Let h(c) = -l - 2*c + 2*c - c. Calculate h(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5127 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 - 4*n - 24.\nAnswer: (n - 12)*(n + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 18*o + 11. Let w be (0 - 3) + -9 + 2. Let s be z(w). Let k = s - -204. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.9, -2\/3, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 11:50 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 594196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3371 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*g - 8. Suppose 3*m + 1 = 2*r, r + 0*r + g*m = -3. List the prime factors of 2 + (-1 - -70) + r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:38 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6304090 and -117\/54640.\nAnswer: 50432720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -84 = -503\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a - a - a)*(-3*a + 36*a - 7*a)*(13 - 17 - 21) to x*a + z + b*a**2 and give b.\nAnswer: -1950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365a (base 14) in base 7?\nAnswer: 256443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(5) + -2 - -6*(sqrt(5) + 1)) + sqrt(4500)*2 + -4.\nAnswer: -4 + 67*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 36*c**2 - 64*c - 10. Let t be h(-19). Calculate the greatest common factor of 22 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 325533, 325516, 325499, 325482?\nAnswer: 325465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/6731?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2035751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 603 - 785.6. Let c = 153 + a. Let q = c - -32. Round q to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j**3 - 3*j. Let c(m) be the second derivative of m**5 + 5*m**3\/6 - 67*m. Give 3*c(t) + 5*r(t).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 32441370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2910892 is divided by 294?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/9 - 38438*g**2\/9 + 29574118*g\/9 - 5807891650\/9.\nAnswer: 2*(g - 18425)*(g - 397)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 563737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srss when four letters picked without replacement from {r: 11, s: 5}?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -250 - -65345?\nAnswer: 65075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 6a3?\nAnswer: -69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*m = 15501 - 169941. Calculate the greatest common factor of 640 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m*z**2 - m*z + 218*m - 89*z**2 + z wrt z.\nAnswer: -10*m - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 - x + 0*x**2 + 6*x**2 - 9*x**2 + (2*x**2 + 0*x**2 - 3*x**2)*(-4*x - 3*x + 6*x).\nAnswer: 2*x**3 - 3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 7:08 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 858 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 36*v - 60*v + 12*v - 11 + 38*v. Is g(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 271. Let n = x + 429. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)*n)**36)**(-1\/98) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14 + 5)\/((-1)\/2 - 1). Solve f + t = 4*u + 3*f, -5*u + 13 = -3*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -234, -227, -222, -225, -242?\n\"Answer: -x**3 + 5*x**2 - x - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52673*j**2*l**2 + 24*j**2*l + 3*j*l**2 - 5*j*l - 5*l**2 - 8975 wrt j.\nAnswer: -105346*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61568352 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 - 6*f + 32. Determine s(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401 = 22*n + 379*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*(sqrt(300) + 2*sqrt(300)) - sqrt(300))**2.\nAnswer: 108303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0, -0.4, 85 in decreasing order.\nAnswer: 85, 1\/3, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -97.2. Let t = -28 + s. What is the second smallest value in t, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**4\/12 + 98*l. Let b(t) = 6*t - 16. Let x(d) = -5*d + 15. Let p(j) = -4*b(j) - 5*x(j). Determine p(y(r)).\nAnswer: -r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000079494 rounded to six decimal places?\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1130 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -143*v - 168. Give b(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 4 - 2 - 2*f + 4 - 4*f - 4 + 3*f - 2*f + 0*f + (-1 + f + 1)*(-2 - 2 + 5) - 5*f + 3*f + 3*f - 4 + 4 + f - f - 2*f + 2*f.\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 11*q**2 - 1\/2*q**4 + 0*q - 11\/3*q**3 + 0. What is the derivative of s(t) wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 6*j. Let t(r) = 3*r**2 - 9*r. Let u(v) = -7*q(v) + 5*t(v). Let o(i) = -i + 3. Let w be o(-5). Suppose k - 3*k = -w. What is u(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - h = -14, 3*h + 4 = 5*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**7\/336 + 3*r**6\/80 + 3*r**5\/16 + 23*r**4\/48 + 11*r**3\/16 + 9*r**2\/16 - 2*r + 47. Solve o(z) = 0 for z.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 - 8*j**3 + (2 - 4 + 1)*(2*j**3 - 4*j**3 + 3*j**3))*(4 - 3*j - 4) to the form n*j**4 + d + g*j + s*j**3 + v*j**2 and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/7, 0.6, -3\/7, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 = -m. Let c(k) = 22*k**3 + 3*k**2 + 4*k - 1. Let s be c(m). Suppose -5*u = 3*d - s, -2*d - 2*d - 4 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 0.2, 5, 130, 4 in decreasing order.\nAnswer: 130, 5, 4, 0.2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 + 11*j**2 + 13*j - 2. What is k(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703052?\nAnswer: 2, 7, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u + j = -1, 2*j = -2*u + 4. Let n be (2 - 131)*(u - 0). Calculate the greatest common factor of n and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3470*i**4 + 7*i**3*u - i - 69072*u wrt i?\nAnswer: 41640*i**2 + 42*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980158 is divided by 31603.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4712472 and 27?\nAnswer: 4712472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015189909 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7365.12 nanometers in kilometers?\nAnswer: 0.00000000736512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 3. Let n = -22 - -32. Suppose n*u + 44 = -6. Let v(f) = -2*f**2 - 13*f - 15. Let r be v(u). Calculate d(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*g - 30 = -4*q, 4*q - 60 = -4*g. Suppose 3*j - 45 = 4*o, -o = j + 2*o - q. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -26 - 9 - 2*q - 7 - 2*q. What is the smallest common multiple of 34 and z(-12)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 4965236.\nAnswer: 4965236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59517 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 26 = -3*u - u, -3*u + 21 = -2*q. Let x be u + 1 + 0 + -1. Suppose -126 = -x*y - 3*i, 0 = -y + i + i + 33. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*p + 34*p - 17*p - 468. Solve -4*w + 4*g = -p, -g - 17 + 10 = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/8 and 93\/16192.\nAnswer: 16192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Let a(q) = 2*q - 1. Let y be a(2). What is the third derivative of 0*b**2 + r*b**y - 2*b**3 - b**2 wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**9\/7560 + h**8\/420 + h**7\/60 + h**6\/20 - h**4\/2 + 14*h. Let m(v) be the third derivative of x(v). Factor m(u).\nAnswer: 2*u*(u + 2)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*p = -129, 6*p - 3*p + 9 = 0. Suppose -5*c = 3*d - 191, -5*c = 2*d - 0*d - 124. Let w = d + b. Solve 5*n - 8 = 4*u, -3*n - 2*n - 3*u = -w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -14*k + 10. Let y be (3 - (3 + -3)) + -6. What is the tens digit of b(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 14*m = 11*m - 485, -4*m = -4*l + 484. Let b = l - 57. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**2 - 23*q - 23. Let m(c) = c**2 + c. Let h(a) = 5*m(a) + w(a). Let y be h(-16). Let d = 25 - y. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 33\/36)\/(10\/(-6)). Let y = -37\/60 + z. Let x = -185 + 185.4. Is y >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Suppose 3*c - 28 = -3*v + 2*v, -c + 4*v + 18 = s. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 885657261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000116882 rounded to seven decimal places?\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*c + 6 = 0, 79 = -l - 5*c + 66. Solve 4\/3*k + 4 + 1\/9*k**l = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1694 + 1699 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4912488 divided by 24.\nAnswer: -204687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000105223923 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664b66 (base 14) in base 3?\nAnswer: 202200212102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 10*p**2 - p - 11. Let d be r(-10). Let j be (-7 + (3 - 7))\/d. What is the greatest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146962583?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((-22)\/((-440)\/(-50)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447159 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 10*z + 18. Let p be n(6). Let b(r) = -4*r - 4*r - 2 + 4*r. Let h be b(p). What is the greatest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/5)\/((-1)\/25). Suppose 0 = -5*j - 6*x + 5*x + 121, 34 = 2*j + 4*x. Calculate the greatest common divisor of j and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1880 divide 3172015390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 38608?\nAnswer: 38608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 6*b - 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-21))\/((-1)\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2 = -6*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k. Let b be (-1 - (-2 - -1))\/2. Let d(p) be the second derivative of b + p + 0*p**2 - 1\/3*p**3. Give y(d(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = -223 + 451. Solve y*b - 145 = 41*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71470?\nAnswer: 2, 5, 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q. Let t(m) = 97138*m**2. Calculate l(t(a)).\nAnswer: 97138*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 197, 453, 811, 1271, 1833?\nAnswer: 2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19112350 and 5550?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 1022 + -1007. Solve -2*f + 3*z - j = 2*z, 3*z = 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4398 + -4302. What is the remainder when 482 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1982 times -69?\nAnswer: 82.6758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*y + 2760, -1105 = 3*c - 5*c + y. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, c: 3}. What is prob of sequence ffff?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28771*3*(180\/108 + 4\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 50 - 66. Solve b*f - 15 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 165. Let z = 163 - r. Suppose -5*v - 4*h + z = 0, -v - h = -0*v - 11. Solve -v = 5*q - 3*k, 8 + 0 = q + 5*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25841000 and 361774.\nAnswer: 180887000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-17)*(-18 + (-950)\/(-100))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**4 - 49*b**3 + 168*b**2?\nAnswer: -72*b - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -268*h**3 - 6*h**2. Let v(a) = 537*a**3 + 10*a**2. Determine -5*n(g) - 3*v(g).\nAnswer: -271*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -64. Which is bigger: -4\/29 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 2*l - 13, 4*a - 20 = 5*l - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39 + 10 + 143 + 83)*(-2*i - 1 + 1) to the form k*i + p and give k.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6585194 divided by -2.\nAnswer: 3292597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*j = -20, 3*j = -0*f + 5*f - 71. Suppose 21 = f*k - 18. Solve -6*z = -k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2769)\/9*24\/(-8). Suppose -257 = -4*p + i. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 30\/(-195) + (-112344)\/(-156).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9969.9 - -9969. Which is the nearest to -3? (a) -2 (b) 2\/3 (c) n (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.51 and 1494.\nAnswer: 8231.94","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 22*g - 11 = -19*g, 3*u + 4*g = -22. Solve u*h + 3*i = 23, -2*i + 15 = 5*h - 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 39*b**5 + 6819*b**4 - 71952*b**3 + 240540*b**2 - 266208*b + 35520 = 0?\nAnswer: -185, 2\/13, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + -2 + (sqrt(1300) + 1*(sqrt(1300) - (2*sqrt(1300) + sqrt(1300))))*-6)**2.\nAnswer: 360*sqrt(13) + 46809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 740*b - 745*b + 32, -4*y - 3*b = -28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*z - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*k**3 + 2*k*q**2 + 2*q**2 - 10*q wrt k.\nAnswer: 30*k**2 + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -675680 by 33784.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-134*(-2)\/(-48) - -2) + (-2)\/3?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - d - 2302 = 0, -5*d + 309 - 1239 = -2*v. Let u(a) = 229*a + 9 + 230*a - v*a. Calculate u(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8*1669\/(-8) + -7.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 55*j - 440. List the prime factors of f(34).\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 34*l**2 + 67*l - 25. What are the prime factors of h(-27)?\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**3*w - 1610*s**3 + 13*s**2 - 6*s*w - w wrt s?\nAnswer: 12*w - 9660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/341139 or 1?\nAnswer: 4\/341139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/17)*z*z**(-2)*z**(-2)*z*z**4*z assuming z is positive.\nAnswer: z**(53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1177 - 1953 = -24*m + 3808. Calculate the remainder when m is divided by 133.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and -0.197.\nAnswer: -3.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23295*l**4 - 27*l**3 + l**2 - 2298036 wrt l?\nAnswer: 559080*l - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 2249375*l**3 + 337382977005*l**2 + 16882068616818805*l + 1583935201900662010.\nAnswer: 5*(l + 94)*(l + 149927)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 p when four letters picked without replacement from {g: 3, p: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 6425452?\nAnswer: 83530876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 10*c - 3. Let n(l) = -5*l**2 + 30*l + 7. Give -8*h(t) - 3*n(t).\nAnswer: -t**2 - 10*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 648722503 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: Simplify ((5*sqrt(81)*2)\/sqrt(3))\/((2*sqrt(72))\/sqrt(8) - sqrt(9) - sqrt(36)\/sqrt(4)*-5).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -713.0333 - -713. Let n = g + 0.03330607. Round n to 7 dps.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.39 + 0.39. Which is the second smallest value? (a) -2\/5 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407424 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 l, and 1 y when three letters picked without replacement from {d: 1, w: 2, y: 1, o: 1, h: 1, l: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 - 9*t - 14. Let c be (0 - (-2 + 61)) + 4. Let w(h) = 70*h**2 - 125*h - 195. Let i(a) = c*s(a) + 4*w(a). Factor i(d).\nAnswer: 5*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 71680.\nAnswer: 1\/10240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-25)*(-3)\/(-6)*15. Suppose -s - 544 = -7*z. Let d = z + -33. Calculate the remainder when d is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((744\/(-217))\/(-12))\/((12\/(-56))\/(33\/(-4))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - b - 8 + 2*b - 3*b to the form n + p*b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-164)\/(-7995) + (-2)\/39. Is o greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125162 * -1.\nAnswer: 125162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 2 (c) -45\/7 (d) 2\/13 (e) -2\/5 (f) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, -70, -129, -188, -247?\n\"Answer: -59*v + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 - (-7 + 4)*-1. Let f be 8\/l - (17 + -16). What is the closest to 2\/5 in 5, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmhubmubupbhwbb. Give prob of sequence wpmb.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20331.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 908 = -75*o, 0 = j + 3*o - 105 + 67 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 2, -5\/4, 1\/4 in descending order.\nAnswer: 2, 0.4, 1\/4, 0, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(76\/95*(-10)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476126?\nAnswer: 2, 7, 71, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -813735 divided by 198?\nAnswer: -90415\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6272478 to the power of 1\/2, to the nearest integer?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 13*v - 5. Let r(t) = -t**3 + 7*t**2 + 2. Let c be r(7). Solve 0 = -4*m + v*n - 2 + 10, -c = 2*m + 4*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 10 - 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 not equal to -4854\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 7) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143091*p - 429280*p + 143089*p + 143092*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(35 + (-415756)\/11880)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39418580 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/9 and -151\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 - 2*b**2 - 3*b + 4. Determine z(3).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 5) to base 4\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-54))\/(2\/24)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**3 + 9*b**3 + 3*b**3 + 7*b**2 wrt b?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 443336831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*o**3 - 10*o**3 + 2*o**3 - 2*o - 11*o**3 + 3*o + 39 in the form w*o**2 + j*o + k + s*o**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2145924590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 + 66\/(-9))\/(1\/(-3)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 10 = 32 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 268926706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 12*d**2 + 4067*d - 2376. Let k(y) = y**2 + 339*y - 198. Let r(i) = 25*k(i) - 2*v(i). Differentiate r(t) with respect to t.\nAnswer: 2*t + 341","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 9:11 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(15\/60 + ((-44863)\/52)\/(-29))?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/45 and -89\/23073822.\nAnswer: 115369110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12211002.\nAnswer: 2, 3, 73, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2996759 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -49?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145233 (base 6) to base 7.\nAnswer: 56130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**2\/2 - 5. Let o(d) be the third derivative of d**2 + 0 + 0*d**3 + 0*d + 1\/6*d**4. Give o(u(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 116368 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 17*j**2 - 68*j - 140. Let z(h) = -5*h - 2. What is the remainder when v(-2) is divided by z(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*z**3 + 91*z**3 - 39*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 224287575689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -89136.\nAnswer: 1\/29712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + t = 66, -c - 3*t = -8*t - 8. Let u = 11 + -4. What is the remainder when c is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4123193 or 12369583\/3?\nAnswer: 12369583\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -369 - 805?\nAnswer: -1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) 0.5 (b) -439\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (12 - 37)) + -10 + 0 - 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831370 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: Simplify (-6*sqrt(110)*2 + (sqrt(110) - 2*sqrt(110))*4)\/((((sqrt(100) - -1*sqrt(100)) + sqrt(100) + sqrt(100))*5)\/sqrt(10))*-5.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 975603.1 years in centuries?\nAnswer: 9756.031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 25. Let x(y) = -2*y**3 - y**2 - 5*y + 15. What is the remainder when x(-4) is divided by a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8396, 8372, 8348, 8324?\n\"Answer: -24*r + 8420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-1)\/((-8)\/(-66)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 7*c + 4. Let r be 12*7\/168*4. Let a(u) = -u - 5. Let l(s) = s + 4. Let w(x) = 2*a(x) + 3*l(x). Let v be w(r). Calculate i(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2. Let w(o) = -o - 9. Let y = -17 + 8. Give y*u(a) - 2*w(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 28*x**2 - 79*x - 3689. Give s(-30).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**4\/30 + 32*p**3\/45 + 16*p**2\/5 + 496. Determine h, given that t(h) = 0.\nAnswer: -12, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)\/z**(-14)*(z\/(z**(-1\/13)*z))\/(z**(-6)\/z) assuming z is positive.\nAnswer: z**(235\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13560 and 495.\nAnswer: 447480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517863 is divided by 31.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h = -28. Let v(p) = -32*p + 278 + 56 - 283. Let c be v(h). Round c to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 391 + -88. Let l = 301 - n. Which is the smallest value? (a) 2\/25 (b) 2\/5 (c) -5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**4\/24 + 16*d**3\/3 + d**2. Let c(u) = u**2 + 5*u - 6. Let s be c(-6). Does 12 divide a(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 divided by -214?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-246)\/(-8)*6\/9. Let i = 371\/18 - j. Let k = -1\/7 - 1\/7. Put i, 2\/9, k in decreasing order.\nAnswer: 2\/9, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5. Let o = f - -2. What are the prime factors of 8\/(3\/o) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 4*q**2 + q**2)*(4 + 0 - 2)*(-15*q + 4*q - 3*q).\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -71. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132434 (base 5) to base 16.\nAnswer: -14f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = 656623 - 1767527. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 70686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15196537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 15*o**2 - o - 7. Let y be k(-15). Solve 5*w = 3*w + y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**4\/8 + 1249*g**3\/6 - 6192. Factor m(q).\nAnswer: q**2*(q + 1249)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -k + 3*j, k = -2*k - 5*j + 24. Suppose -21 = -3*u + 26*y - 23*y, -2*y = u - 1. Solve -u*p - 10 = 2*i, -i + k*p = -0 + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*x - 9, 6*u - 13 = 2*u - x. Find the second derivative of -u*a**5 - 4 + 4*a**5 + 4*a + 4 wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*b + 21*b + 67*b)*((2*b**2 - 4*b**2 + 4*b**2)*(-1 + 1 - 1) + (-b + 4*b - 4*b)*(2*b + 1 - 1) - 1 + 1 - 2*b**2 + b**2 - 2*b**2 - b**2).\nAnswer: -424*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:02 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 18*n**2 + 15*n - 12. Let t(c) = 38*c**2 + 31*c - 26. Calculate -13*q(s) + 6*t(s).\nAnswer: -6*s**2 - 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 128*p**2 - 50*p + 74. Calculate r(2).\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 252951.5t?\nAnswer: 252951500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 322637814819?\nAnswer: 322637814819.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 12. Let n(l) = -l**3 - 6*l**2 - 7*l - 6. Let b be n(-5). Suppose -b*m = -m - 9. Which is smaller: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19605082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - f**2 - 8*f**2 - 4*f**2.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 8*l**3\/3 - 6*l - 6. Differentiate z(b) with respect to b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**3 - 6*j**2 - 3. Let s(c) = -15*c**3 - 13*c**2 - 6. Suppose 0 = 7*w + 41 - 69. Let y be (w + 6)\/5 + -15. Calculate y*q(k) + 6*s(k).\nAnswer: k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1808328349?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-1056)*-40*492\/50?\nAnswer: 82\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 - 3*k**3 + 4*k**3 + (0*k**2 + k**2 + 2*k**2)*(-k + 0*k - 2*k) + 5*k**3 + 6*k**3 - 6*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 2 + 1 + 11 - 3*k. Let n = 32 + -21. What is the remainder when a(5) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 7*g**4\/12 - g**2\/2 - 6*g. Is f(1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.412 - -23.42. Let p = -9 - n. What is p rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 2 - t + t**3 + 6*t**2 - 17*t**2 + 0*t**2. Let v = -12 - -24. What is the tens digit of j(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)*j)**(2\/57)*((j\/j**13*j)\/j)**(-1\/4) assuming j is positive.\nAnswer: j**(51\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 357649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2543556 and -71\/15261336.\nAnswer: 15261336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**6\/30 - h**5\/60 + 5*h**2 + h. Let s(o) be the first derivative of n(o). Suppose s(b) = 0. Calculate b.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-3 - -4)) + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30\/97 - -83\/582. Which is the smallest value? (a) 0.1 (b) -102 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.86 - 50.14. Let p = -55 - d. Let x = -1.7 - -2. Which is the nearest to 0? (a) x (b) -1\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175.020112 - -175. Let i = -312 - -312.02. Let h = z + i. Round h to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - (14 + -3)) + (132 - 129)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221011222 + 12?\nAnswer: -10221011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115082778 a multiple of 1454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16a80b (base 15) to base 14\nAnswer: 208578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + 21110?\nAnswer: 20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -838213 by 14207.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + -0.11. Let f = -13\/20 - -9\/10. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.305592 - 21.3. What is b rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121721510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 15*w**2 - 2*w - 85. Determine c(-12).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 4 (b) -0.9 (c) 7 (d) 2\/153 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 151215 - -5?\nAnswer: 151221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 692 and 692 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/99 and -47\/671.\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g = -3*x + 28, 2*x - 18 = g. Let k(q) = 19*q**2 + 14*q**2 - x*q**2. Let m(p) = -2*p. Give k(m(o)).\nAnswer: 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14721? (a) -0.7 (b) -1\/2 (c) 1.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -230.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -14, 39*j + 20 = 35*j - 4*t. Put 414, j, -5, -4, -2 in ascending order.\nAnswer: -5, -4, -2, j, 414","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 10:51 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**3\/6 - 3*b**2\/2 - b. What is the units digit of z(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**5 + 10*q**4 - 17*q**3 + 6*q**2 + 2. Let u = 117 - 120. Let t(k) = 9*k**4 - 18*k**3 + 6*k**2 + 3. Let x(d) = u*g(d) + 2*t(d). Factor x(n).\nAnswer: 3*n**2*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 23*a - 21*a + 3122, 3*s - a - 9391 = 0. List the prime factors of s.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o + v = 16, -36 = -4*o - 5*v. Let p(j) = -17 + 2*j - 18 + 42 - 15. Let m be p(o). What is the nearest to 0.3 in -3, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = w + 15, -6*x + 14 = -8*w + 4*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32150*d**5*w - 3*d**2*w**2 + 2*d - 28879*w**2 - 7*w wrt d.\nAnswer: -643000*d**3*w - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, -1\/50, 20\/7, 128.25?\nAnswer: 128.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + x**2 - x + 19. Give w(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 4 + 100 + -97?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.954 + -0.046. Let p = w - -28.9. Sort p, 2\/13, 2.\nAnswer: p, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-500))\/(93\/1395)*(-2)\/3?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -141, -311, -557, -885?\nAnswer: -1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*t + 6 = 0, 2*r - 2*t = -t + 6. Put 1, -1, r in increasing order.\nAnswer: -1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50206405 - -50206375.899881. Let c = -29.1 - o. What is c rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Suppose -2*m = f*i + i - 18, -5*i - 5*m + 35 = 0. Suppose 5*k + 10 = -r + 76, 2*r - 28 = -i*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 25008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 428489678?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149912792 by 172.\nAnswer: 871586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 449*j**2 - 42569*j + 234. Give a(313).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.6.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (544\/(-6800))\/((2*-1)\/(-10)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*m**3 - 172*m**3 - 177*m**3.\nAnswer: -318*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -k + 71. Calculate the remainder when (-35702)\/(-66) + 36\/594 is divided by k.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4*c - 20 = 0, 2*l - 5*c + 83 = 93 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41622 or 45602?\nAnswer: 45602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 14821128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 16*b**2 - 24*b - 19. Let z be a(-9). Solve 2*h - 2*p + 18 = 0, 2*h = 5*p - z + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*s + 47325 = 2484*s - 58683 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8688, -387, 0.2, 3 in ascending order.\nAnswer: -387, 0.2, 3, 8688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 16*x**3 - 13*x**2 + 11*x - 64. Let q be i(-24). What is q rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 8. Let r be f(3). Suppose -6 = -c - r*v + 6, 5*c = 5*v + 15. Find the first derivative of 7*t**4 - 1 + c - 4 wrt t.\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 51, 71, 109, 171, 263, 391, 561?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38844.8551 + -38841. Let m = c + 156.9839. Let l = -161 + m. What is l rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3438 and 140165732?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*(-5940)\/5280*8\/(-3)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*y**3 - 2*y + 65*y**3 + 44*y**3 - 1 - 3 as n*y**3 + c*y**2 + f + x*y and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**3 + 3420*a**2 + 60025*a + 56610 = 0?\nAnswer: -666, -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 1133?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**7)*j*j)\/(j\/(j**(-7)\/j)))**22)**42 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 5307\nAnswer: 1\/5307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-28)*(-1 + 1 + -1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 55500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28*1)\/(10\/8*1696\/(-1060)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -3 - (-2 - (7 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2148 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/5 + 4*v**2\/5 + 11*v\/5 + 6\/5 = 0 for v.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 10 = 2*v, 0 = 5*z - 4*v + 6*v - 50. Suppose 3*h = 5*m + z, 0*m = -2*h + 5*m + 5. Solve -h*a = -b - 0*a + 25, 5*a + 40 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 99200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 398648.\nAnswer: -79729.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -62\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 n when three letters picked without replacement from {n: 3, i: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27740 is divided by 289?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 3:54 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/13098 or 1\/3?\nAnswer: -23\/13098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgf when three letters picked without replacement from {f: 7, g: 6}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*p + 1494 = 105*p + 5670 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 207865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*x - 565*x + 1699*x = 556*x - 3185 for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqfxnyrrrnffx. What is prob of picking 2 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*n + 0*n = -m - 3*m - 3, -150 = 2*n + 31*m for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = 5. Let u(x) = -2*x**3 + 20*x**2 - 2*x + 24. Let s be u(10). Let n be 18*(-1)\/(-60)*s. Which is smaller: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 162789652, 325579305, 488368958?\n\"Answer: 162789653*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/42 + 1\/(-6). Let z = -6 + -12. Let t = 13 + z. Sort t, 2, h in decreasing order.\nAnswer: 2, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/11)*z*z\/(z\/z**(-5))*(z*z*z\/(((z\/z**(-2\/5))\/z)\/z*z)*z*z)**(16\/5))**(-15\/2) assuming z is positive.\nAnswer: z**(-4347\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**2 + 0*m + 0*m + (2*m - 58 + 58)*(100 + 2*m - 100) - 2*m**2 + m**2 - m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2135, -56, -3, 1 in decreasing order.\nAnswer: 1, -3, -56, -2135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 9. Let b be n(7). Let v(d) = 2*d - 12. Let i be v(b). Is (-124)\/(-44) - i\/11 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -761 + 221 = 6*u. Let g be ((-16)\/u)\/((-2)\/(-5)). Factor -g*i - 1\/9*i**2 - 1\/3.\nAnswer: -(i + 1)*(i + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 7*n = -231. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(66)*1)\/(3*sqrt(6)*-2))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 11)*(o + 3*o - 6*o)*(-3 + 1 + 0)*(5 + 0 - 2).\nAnswer: 144*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48317086 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 195 = 3*z. Let b = -401\/2 - z. Calculate the common denominator of b and (4\/64)\/(((-495)\/(-340))\/(-9)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38283, 38177, 37999, 37749?\nAnswer: 37427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45216829.03 rounded to the nearest 100000?\nAnswer: -45200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 9 = 6. Suppose -3 - 6 = -a*l. Suppose t - 7*y = -l*y + 55, -y = 3*t - 126. Solve -5*k - 2*j = 14 - t, -12 = -4*k + 4*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 419 - 169. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 1. Let f be h(2). Which is the second biggest value? (a) -5 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4934\/403 - 160\/13. Let w = 161 + -802\/5. Let l be (-8)\/(-28) + (12\/(-108))\/((-7)\/(-39)). Which is the nearest to x? (a) 0.1 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38883 - 38864.321. Round w to one decimal place.\nAnswer: 18.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 3*i**2 + 16*i - 34. Determine o(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnonpnnffffrqff. What is prob of sequence qnn?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4440?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3308 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2. Let z be m(6). What is the highest common divisor of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/343493 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 355 + -1140. Let w be 12\/16 - l\/20. Let x = 2 - -3. Calculate the greatest common factor of w and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1469 = -5*z - 6*u, -4*z = 2*u - 1176. Let i = -286 + z. Calculate the remainder when i is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9106 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/272 and 79\/68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 8*l - 9. What is y(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:46 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) -1 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:47 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.2 + -31. Which is the closest to n? (a) 5 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17158939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*f - 7*f - 18*f - 14*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 + 15*o**2 + 56*o - 629. Determine m(10).\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 8. Suppose 0 = h + 4*y - 19, b*h + 2*y - 5 = 9. Solve -4*m - 2*x = -6*x + 28, -4*m - 14 = h*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3151 - 3143 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 2\/5*(58 - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2855\/(-4568))\/((4\/(-8))\/(10*2))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*f + 8. Calculate the smallest common multiple of 6 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -l - 3*l. Suppose 0 = -d - 16*d - 2771. Let y = 173 + d. Calculate the least common multiple of y and l.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (14 + 27) - -36?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72.54 - -40.51. Let w = -32 - a. Let u = w - -1.97. Are 0.1 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709177 is divided by 236390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*a**2*b**2*j - 25*a**2 + 7*a*b**2*j + 15*b*j wrt b?\nAnswer: 56*a**2*j + 14*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8557875 divided by 13.\nAnswer: -8557875\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/19)\/(s**(-5)*s)*(s\/(s*s**(2\/7))*s)\/s*s**3*s)**(-2\/19) assuming s is positive.\nAnswer: s**(-2080\/2527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -46*p**3 + p + 1. Let x be c(-1). Let j = x + -33. Suppose -4*o + j + 3 = 0. Sort -5, o, 5 in ascending order.\nAnswer: -5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5588177028 a multiple of 2967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3162287, -6324572, -9486857, -12649142, -15811427, -18973712?\n\"Answer: -3162285*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.632 take away 16327892?\nAnswer: -16327917.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 - 115. Let d(y) = 122*y - 53. Is d(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y. Let i be z(1). Suppose 3*b + 23 = 4*s + 5, -5*s + 23 = -4*b. Suppose 0 = s*v + 5*k + 1, v - 4*k + 2 = -4. Sort v, 0, i.\nAnswer: v, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -99.4 and -1.369663.\nAnswer: -100.769663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 41. Suppose 2*u = -2*u + i. Let g(c) = -c**2 + 3*c + 7. Calculate g(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.035, 3, 1\/3, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1428)\/351)\/(-4) + -1. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2106)\/(-45) - 1\/(-5). Let d = 45 - b. Let a be 2 - (2 + d*3). Solve -y + 5*h + 1 = 23, -5*y - h - a = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**2*u**3 - 55*a**2 + 13*a*u**4 - 2*a - 3*u wrt u?\nAnswer: -42*a**2*u + 156*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/80555 and 11\/20.\nAnswer: 322220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w + 21935 + 42517 = -25260. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 4:54 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6575?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 30 = 3*t - 5, 9 = 3*h - 3*t. What is the units digit of (9\/(-2))\/(h\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17660.8 millilitres in litres?\nAnswer: 17.6608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 12*h - 6. Let y be x(-8). Suppose 4*a - 59 = -5*f, -a + 2*f - 7*f + y = 0. What is the closest to a in -2\/7, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + b - 16 = -0*b, -2*b = 4*p + 40. Is 15 a factor of 850\/15 + (-3)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-435)\/(-6))\/((-1220)\/(-2440))*1\/(10\/2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 6802080.\nAnswer: 13604160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 15 + 9 - (-1 + (-1)\/16).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 15 = -0*c. What is the remainder when 850\/10 - ((-3)\/c - -2) is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3911460\/1139)\/(-60) - -57.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - 1) - -2 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*d = 132*d - 98. What is the least common multiple of (12\/d)\/(2\/42) and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225)*-1)\/(sqrt(5)*1*4 - sqrt(5)).\nAnswer: -7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8e5b46 (base 15) to base 8.\nAnswer: -31747336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.36 and 23.\nAnswer: 8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 + 1 - 1)*(98*k**2 - 94*k**2 + 136*k**2) as x + t*k**4 + w*k**3 + v*k**2 + d*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1939231740 to the power of 1\/3, to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157 + -69. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34805a0 (base 12) to base 2.\nAnswer: -100110100110101101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -713586 divided by 6?\nAnswer: -118931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 22. Let h be d + (3 - 14\/3). What is the closest to -0.1 in 1\/5, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/18168 and 53\/3488.\nAnswer: 7921248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qmqqmqqqmqmtmqmmmt?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420177 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 f when three letters picked without replacement from {f: 2, b: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1552 - 1461. Which is bigger: b or 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {u: 2, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3669 and -7937.\nAnswer: 29120853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-5 + 4) - (-2 + 29)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -10*t + 70. Suppose 5*r = -4*s + 1166, t*r - 1294 + 136 = -2*s. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 0*n - 26 - 3*n. Let j be t(-6). Suppose 0 = -j*b - 5*x + 2482, 2*x = -5*b + 6*x + 3123. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + -8 + (-15 - -13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56\/420 + (-4)\/30. Let q(v) be the third derivative of 0*v - 1\/150*v**5 + c*v**3 + 1\/60*v**4 + 0 - 2*v**2. Find j such that q(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -112*q**2 - q - 2. Let m be j(1). Let w be (32\/(-6))\/4 + m\/(-75). Which is the third biggest value? (a) -0.4 (b) 1\/6 (c) -2 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Let m(j) = -j**2 + 19*j - 29. Let f be m(27). Let w = 1955\/8 + f. Which is the smallest value? (a) -2\/5 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*o + 6 = 0, -c - 6 = c + 4*o. Factor 0 - 8*f**2 + 8 + f**3 - 4*f + c*f**3.\nAnswer: 4*(f - 2)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*n + 4*j, 0 = -5*n - 0*j + 4*j + 65. Solve 7*c + 37 = n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 52.2. What is the closest to -1 in 2, k, 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**(-11)*f)))\/(f**(1\/18)*f)*(f**(-2\/7))**(-1) assuming f is positive.\nAnswer: f**(-1231\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34154026 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/20913 in 8, -2, -0.3, 73\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - -12*(-7 - -11). Let k be (-94)\/(-3)*3 + -1. Let w = k + f. Round w to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13430\/(-20145))\/((-14)\/(-24))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o + 420*o**2 - 12 + 14 - 10*o - 423*o**2 in the form s*o + a + r*o**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1061088349?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3 = 4*l + 1, 3*l - 3*h - 9 = 0. Let t(m) = 1 + 0 + 6*m - m. Calculate t(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*n + 3*n, -5*i - 2*n + 63 = 0. Let u = i + -6. What is the second derivative of -5*f**u + 12*f**5 + 5*f**5 + 15*f wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*z**2 + 5923973 - 54*z - 5923973 - 477*z**2.\nAnswer: -2*z**2 - 54*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -2*u**3\/3 - 31*u. Let s(d) = -6435 + 6435 - 4*d. Determine -3*n(y) + 2*s(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/25 or -777?\nAnswer: -777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -375.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(204)*-2*-4)\/(sqrt(72)\/(2*sqrt(36)\/sqrt(6))).\nAnswer: -32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 754?\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -69*q**2 - 12*q + 1. Let h(x) = -139*x**2 - 26*x + 2. Give 6*h(p) - 13*u(p).\nAnswer: 63*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3040*w + 4572*w - 10382*w.\nAnswer: -2770*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*x - 4*p, 4 = 2*x + p - 1. Is 1 + 409 - (-3 + x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + 13. Let m(g) = g**2 + 4. Let s(w) = -21*m(w) + 6*u(w). Let l be s(-3). Let j = l + -17. Solve -3*v + 4*v + 6 = -p, -j*p - 16 = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 2*u**3\/3 + 3*u**2\/2 + 2*u + 1. Suppose 0 = -z + 4*s + 2, 4*z + 5*s + 9 = 2*z. Give q(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u + 3*m + 8 = 0, -2*m - 12 = -3*u. Calculate the remainder when u is divided by (5 + -2 - 1) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -3) + 2 + -2. Suppose 5*c - b = 11. Suppose c*h - 40 = -z, 0 = h + 2*h - 12. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 11:58 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let u(r) = 5*r - y*r - 7 + 0 - 4*r. Calculate u(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 + -26.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**5 + q**5 + 2*q**5)*(-2 + 2 - 4) + 520*q**5 + 168*q - 166*q - 1646*q**5.\nAnswer: -1130*q**5 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012022002 + 12?\nAnswer: 2012022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 25.23. Let o = 0.43 - c. Put o, -2\/11, -5 in descending order.\nAnswer: o, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**2 - s. Let r(z) = -z**3 - 11*z**2 - 18*z. Let h be r(-9). Let d(y) = h + 0 - 60*y**2 + 57*y**2. What is x(d(w))?\nAnswer: 72*w**4 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-30 - -51) + (3 - -4) + (-8 - 0)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001401 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5112 + 36*t**2 - 5*t**2 + 5107.\nAnswer: 31*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12125743 and 22610?\nAnswer: 121257430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**5\/180 + 7*r**4\/36 - 4*r**3\/3 + 24*r**2 - 4*r. Suppose a(q) = 0. Calculate q.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + sqrt(228) + 1*sqrt(228))*-6)\/sqrt(12).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3813 is divided by 137.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 63, 134, 205?\n\"Answer: 71*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 1021*f**6\/120 + 752*f**3\/3 + 309*f**2 + 2. Find the first derivative of w(r) wrt r.\nAnswer: 3063*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 616, 1315, 2288?\nAnswer: 3535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 17 (c) 2.3 (d) 31.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 9 + 19 - (2 + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 157*r - 98*r - 57*r - 2*r**3 - 28*r**2 to the form u*r**2 + h + y*r + k*r**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113018 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -5789.\nAnswer: -28945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**3 - 148*n**2 + 967*n + 148. Determine b(-30).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 3859155, 1 in increasing order.\nAnswer: -1\/6, 1, 3859155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6508*p**5 + 1903*p**5 + 3273*p**5 + (-3*p**4 + 4*p**4 + 0*p**4)*(-3*p + 0*p + 4*p) + (p**4 + 0*p**4 - 3*p**4)*(4*p - 3*p - 2*p).\nAnswer: -1329*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 985883669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/357 - (0 - (-53)\/(-17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4412*f - 508. Let k be n(-16). What is k rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74096 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 1. Let p be n(-2). Let x be (-5)\/(-2) + p\/2. What is the third derivative of 6*w**4 - 7*w**4 + 3*w**2 + w**x wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 33 - 2*s + s**3 - 12*s**2 + 11 + 3 - 20. Let m be z(12). Suppose 5*c = -3*v + v + 1459, 1456 = 5*c + m*v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = 5. Let f be ((-22)\/u)\/(4\/12). Suppose 20 = g - f. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - (48 - (7 - -2))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -19, 4, 49, 122, 229, 376, 569?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = -f + 6*j + 9743, 0 = -2*j. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1509 - 1507. Let m = -66\/133 + 4\/19. What is the nearest to m in 1, l, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (27 - 6) + 20071 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 841675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -13?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219375707, 438751416, 658127125, 877502834, 1096878543, 1316254252?\nAnswer: 1535629961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/(-87))*1410\/(-4230)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 4*q. Let u(n) = 9*n**2 + 33*n. Let p(v) = 33*h(v) - 4*u(v). Let c(l) be the third derivative of -l**4\/12 + l**2. Give p(c(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3152141 to the nearest integer?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -234242*b - 1405449. What is l(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -15, 74, 235, 474?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khpppkphphhffppkh. Give prob of picking 1 h, 1 k, and 1 p.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 20. Determine d(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.18 + 3.82. Let u be (-6)\/(-15) + 3\/(-20). What is the second smallest value in u, 2\/3, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*b + 46, 3*b - 31*o = -35*o + 50. Put 5, -5, b in decreasing order.\nAnswer: b, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 296478 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - -1d7?\nAnswer: 1e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 11030 = 3*u + 10989, 52 = -2*u - 3*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1795\/(-6) - (-118)\/708. Let i be m\/(-11) - (-112)\/(-616). Factor 0 - i*d - 3\/4*d**3 - 9*d**2.\nAnswer: -3*d*(d + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1804 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/7, 2, -0.2, 26, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 8*l**2 + 18*l - 2. Let f be h(-7). Let u = f - -559\/7. Factor -u - 3*z**3 - 9\/7*z + 36\/7*z**2.\nAnswer: -3*(z - 1)**2*(7*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3*((sqrt(240) - (sqrt(240)*-2 - sqrt(240))) + sqrt(240)))\/sqrt(10))\/(-2*sqrt(512) - (-1*sqrt(16))\/sqrt(2)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 8 = 18*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14768*n**2 - 43082*n**2 + 14890*n**2 + 13426*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/2060 and -23\/2678.\nAnswer: 26780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2117814.\nAnswer: 2, 3, 41, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 7\/3*t**3 - 7*t + 0 + 0*t**2. Let c(h) be the first derivative of h**3\/3 + 3. Give d(c(p)).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d - 18. What is the least common multiple of n(-12) and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r**2 - 24*r - 417. Is m(-11) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.76 + -1.7. Round z to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -408.22 and -0.2.\nAnswer: 81.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 351\/26*((176\/33)\/(-8))\/1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6242674?\nAnswer: 2, 131, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznzsnnnqnz. Give prob of sequence snss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 56.66, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/6))**(3\/28) assuming g is positive.\nAnswer: g**(-5\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.53 + -0.03. Let m = a - 6. Let v = m + 5. What is v rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3)*h*h)\/(h\/(h*h\/((h\/h**(-4)*h)\/h))))\/((h*h*h*(h**0\/h)\/h)\/(h*h**(-5)))*(h**0)**(-15)\/(h**(1\/3))**(-50) assuming h is positive.\nAnswer: h**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from caqccccaccqaq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-15*p - 11*p + 17*p)*(-5*p - 2*p + 2*p).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 1 - sqrt(19)) + ((sqrt(19) + 0)**2 - sqrt(19))*-3.\nAnswer: -56 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 261 and 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/3 - 2*(-5)\/(-10). Let d(l) be the first derivative of -l**2 + 0*l + c*l**3 - 1. Find the second derivative of d(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 282 + 3?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.041 - 0.059. Put 0.3, 4, a, -0.06 in increasing order.\nAnswer: a, -0.06, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 396 - 360. Let d be 60\/n + (-4)\/6 - 80561. Round d to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1 - 12\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -10908*u - 4199567. Give t(-385).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3848353 is divided by 855?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65378 and 4718.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -448, 1.8, 3\/8?\nAnswer: -448","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 648.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21951, -87830, -197645, -351408, -549131, -790826, -1076505, -1406180?\nAnswer: -1779863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2037477090?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4 (b) -2\/179 (c) 1\/5 (d) 31 (e) -1\/7 (f) -10 (g) 3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 3*g**2 - 3*g + 8. What is the smallest common multiple of 33 and k(4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114.56 + -93.6. Let a = j + -23. Round a to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivr when three letters picked without replacement from {v: 1, r: 1, n: 1, z: 5, i: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, c: 1, x: 2}. Give prob of sequence xxv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -116, 5, 2, 38\/27, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 840 = -395*j + 500*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-28)\/p)\/p)\/((p\/(p*p**(-2\/31))*p*p)\/p))\/(p*p**(-5\/3)*p)**(-2\/11))**(-49) assuming p is positive.\nAnswer: p**(1504006\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*y = 0. Solve -2*j = -y*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*j - 15 = 0, -4*f - j - 2 = -17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 32. Let t(b) = 12*b + 11*b**2 + 3*b**3 - 6 + 25 - 2*b**3. Is t(j) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2. Suppose 0 = 3438*q - 3415*q - 46. Let a(c) be the second derivative of 1\/3*c**4 + 0*c**3 + 24*c + 0*c**q + 0. Calculate j(a(w)).\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 5*y + 5*a + 9 = 0, -5*y + 10 = -5*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 593 and 280042471?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4\/17 + 56*z**3\/17 - 6*z**2 - 56*z\/17 + 104\/17 = 0. Calculate z.\nAnswer: -1, 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/55, -2\/9, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*m + 8*m - 33*m)*(m**2 - 1 + 1).\nAnswer: -55*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-100)\/102 + (-11)\/(-11)). Let z = -35 + u. Solve 2*n + 15 = -3*x, 2*n + 5*x + 9 = -z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1494, 1968, 2430, 2874, 3294?\n\"Answer: -x**3 + 481*x + 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4644\/(-172) - (-3 + 68).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32 and -216881 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6*6\/(-10). Let h = 0.047 + 4.753. Let y = 3.8 - h. Which is the closest to d? (a) -2\/9 (b) -2\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4 = 2*a, 4*h = -0*a + 3*a - 6. Suppose -o + 0*o = -3. What is the first derivative of 2*f**3 - 2*f**3 - 3 + h - o*f**4 wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/126*-2 - (-42)\/98\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6\/29 + -135\/232. Let y = -14 + 12.1. Let r = -0.9 - y. Which is the biggest value? (a) r (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**4\/12 - 2*x**3\/3 + 5*x**2\/2 - 6*x. Let t be ((-5)\/(-4))\/((-1)\/(-4)). Let p = 9 - t. Give f(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94301773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**5\/35 - 5*u**4\/7 + 26*u**3\/7 + 110*u**2\/7 + 121*u\/7 - 33. Factor b(p).\nAnswer: (p - 11)**2*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1510 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 4*u - 6*u + 0 - 5*u + 0 - 2 + (3*u - 3 + 3)*(-2 - 1 + 2) + 4 - 3*u - 4.\nAnswer: -10*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {m: 1, k: 1, d: 1, x: 5, r: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 503621737*v**2*y**3 - 5*v**2*y - 28351*y**2 - 77 wrt y?\nAnswer: 3021730422*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 513*u**6 - 5 + 16*u**2 + 308*u**6 + 5 - 4*u**2 wrt u?\nAnswer: 98520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-30)\/287) + 1. Let d = i + 12\/5. Let q = -57315\/14 - -4090. Calculate the common denominator of q and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3*o - 50 + 5 - 26 = 4*m, 0 = -3*m + 13*o - 122 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -3 - (-2)\/((-2)\/(-27)). Put 2, 0, b in descending order.\nAnswer: b, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -2 + (-3 - 2 - -8) and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-134)\/12*(3480\/60 - 64).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/18 and 35\/10208?\nAnswer: 91872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9*k**3 + 2*k + 2. Let n be j(-1). Let m(o) = 8*o + 5. Let w(q) = 2*q + 1. What is n*w(a) - 2*m(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p + 301 - 301 + (-64 + 10 + 0)*(0*p + p + p).\nAnswer: -113*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.73. Let x = -1362\/11 + 124. What is the second smallest value in x, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 7*g + 15*g**2 - 3 - 6*g**2 - 17*g. Is x(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -1\/90*z**6 - 59 + 2*z + 2\/9*z**3 - 1\/15*z**5 - 5\/6*z**2 + 1\/6*z**4. Let j(p) = 0. What is p?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*1.4289\nAnswer: -2.8578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*a - 39*a**2 + 148*a - 11*a**2 + 66*a**2.\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 810 = -3*c. What is the remainder when c\/10 + (2 - 1)\/(-2) is divided by (-21)\/2*4\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 97376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*f)*(0 - 2*f + 0) - 8*f**2 - f**2 + 0*f**2 + 30 - 11*f**2 + f - 12 - 12.\nAnswer: -16*f**2 + f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4474510 is divided by 90?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 82?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 19*n + 2. Let z(q) = 40 + 38 + 40 - 117. What is -v(u) + 3*z(u)?\nAnswer: -19*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + 6*g + g - 4*g to a*g + c and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 41 = -32. Suppose -v + y*v = 6. Let z = v - -4. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25976 - -0.4\nAnswer: 25976.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -147113*p**5 + 10*p**4 + 76971*p + 67 wrt p.\nAnswer: -2942260*p**3 + 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136 - -133) + -252 - (15 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-25)*(o\/o**(8\/11))\/o)**(-2\/49))**(3\/11) assuming o is positive.\nAnswer: o**(1698\/5929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 + 75 + 62 - 183 - 10821*l in the form k + t*l and give t.\nAnswer: -10821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1300) + 0 + sqrt(1300))*4)**2*-3 + (1 + (sqrt(1300) + (1*sqrt(1300) - sqrt(1300)) + sqrt(1300))**2*6)*-3.\nAnswer: -343203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 11 - 13) + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 29*o**7\/6 + 3*o**4\/2 - 2*o**3\/3 - 77*o**2\/2 - 4956*o. What is the second derivative of l(f) wrt f?\nAnswer: 4060*f**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*(t\/t**(-5))\/t*t*t)**(1\/17))**(-14) assuming t is positive.\nAnswer: t**(-140\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**4 - d**3. Let t(y) = 6*y**4 - 18*y**2. Let f(b) = 3*k(b) - t(b). Factor f(m).\nAnswer: -3*m**2*(m - 2)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3221 - 6480 + t + 3234. What is i(13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*p - 375, 3*p = -5*n + 167 + 469. Let q = n - 133. Let u be (4 - 3)\/(-9)*2. Which is the third biggest value? (a) -0.3 (b) 2\/15 (c) q (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 759, 762, 767, 774, 783, 794?\n\"Answer: n**2 + 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = 136. Let s = d - 16. What is the greatest common divisor of s and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 3320100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 64*s**2 - 30*s - 4. Let w(d) = 31*d**2 + 15*d + 2. Let n(m) = -6*j(m) - 13*w(m). Find f, given that n(f) = 0.\nAnswer: -2, -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/75 + (-1 - 962\/(-5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18945 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -4*o + 19, o = 5*b + 15 + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8 + 0*n**3 + n + 10*n**3 - n**2 - 8. Let u be g(1). Solve -k = k - 4*f + u, -5 = k + f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 1, k: 1, p: 1, h: 3, w: 3}. Give prob of sequence khw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -67*r**2. Let s(g) = 42*g**2 - g + 2. Calculate s(u(w)).\nAnswer: 188538*w**4 + 67*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0155435 take away 0.5?\nAnswer: -0.4844565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -621 - -625. Let o be -2*(c\/(-8) + 1). Suppose -2*v = -0 + 18. Are o and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6560, -13086, -19600, -26096, -32568, -39010, -45416, -51780?\nAnswer: -58096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 - 81. Let y(m) = -m**2 - 2*m + 15. Let i be y(s). Solve i = -5*a - 20 - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -8)*(-216)\/(-28). Suppose -q = -4*z - 2*f, -3*f = z + z - 29. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3781a33 + -1?\nAnswer: -3781a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*z - 111*z - 300 = 0. Let g = z + 1056\/7. What is the third smallest value in g, 2\/9, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32851 + -22728. Suppose -18893 - g = -26*x. Calculate the greatest common divisor of 36 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 6494?\nAnswer: 19482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 = -23*d - 59. Suppose -38 = -8*i - d. What is the closest to i in -6\/11, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0.2. Let i = -0.19 + 0.09. Which is the smallest value? (a) q (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*1 - (sqrt(5) + (1*sqrt(55) + sqrt(55) - sqrt(55))\/sqrt(11)).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 42837.4 to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 + 196. Suppose 4*m + 2*m = s. Calculate the remainder when 23 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*k = -25, 4*x - 4*k - 6 - 14 = 0. Suppose 171 - 41 = x*o. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -47525*s. Give i(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2104.5816 + -2108. Let c = i - -3.4. Let a = -0.02 - c. What is a rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (546\/(-65))\/(12\/4)*(40\/2)\/4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) + (-58)\/(-15)*3. Let w be ((21\/14)\/3)\/((-7)\/p). What is the second smallest value in -0.3, w, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/((-1)\/9). Let a(w) = w**3 + 6*w**2 - w - 4. Let l be a(-6). Suppose -2*r - l*r = 0. Solve r*c = -c - s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340386, -340388, -340390?\nAnswer: -340392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121 - 116. Put 2, t, 37 in descending order.\nAnswer: 37, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 572955, 573707, 574459, 575211, 575963?\n\"Answer: 752*w + 572203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (8 - 4 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1092960738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 14*s**2 - 2*s + 13. Give r(-12).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - k - 126 = 0, 3 + 0 = -3*k. Let x = -49 + 13. Let u = x + 61. Solve -u = -5*l, -2*r - 2*l = 3*l - h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6484, 6484, 6486, 6490, 6496, 6504?\nAnswer: 6514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 870 and 2348130?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 9*d - d. Suppose 3*m = -7*m + 20. Suppose -m*q = -10*b + 5*b + 1, 0 = 2*q + 6. Determine g(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -5. Let i = 5 + -5. Suppose i*u = b*u - 60. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 - 163960*s - 3279232\/5.\nAnswer: 2*(s - 409904)*(s + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06596864 and -3.\nAnswer: 0.19790592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40270 + 40516. What is the remainder when 710 is divided by u?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 98 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1584880927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42 + -145?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 66\/5, -196, -0.4, 2, 2\/3, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Add together 726.04 and 1.188422.\nAnswer: 727.228422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28\/9 in -7, -1, 4, -31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p**2 - 1445*p - 1305*p + 2752*p - 2. Let v(q) = 2*q + 35 - 12*q + 119*q**2 - 25*q. What is -35*r(l) - 2*v(l)?\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12147265*f**3*g + 5619*g + 451 wrt f?\nAnswer: -36441795*f**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuuxuuuuuxuuuuuuuxuu. What is prob of sequence xuu?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78722825*k*n**4 - 1254411617*k wrt n?\nAnswer: -314891300*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200.2 - -33.8. Let n = l - 229. Put 2, 4, 3, n in decreasing order.\nAnswer: n, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**6\/120 - x**5\/15 - x**4\/4 - 4*x**3\/3 - 2*x**2 + 22. Let q be a(-3). Which is bigger: q or 23\/12?\nAnswer: 23\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916602773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 30 (b) 1\/4 (c) 8\/3 (d) 4 (e) -1 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -10\/5095499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 551809 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8359 millilitres in litres?\nAnswer: 0.0078359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*j + 154 + 902 = 0, -j = -5*k + 5204. What is the highest common factor of k and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 105 - 4)*(3*j**4 - j**4 + 0*j**4) to the form a*j**3 + y + q*j**2 + u*j**4 + k*j and give u.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 13.6. What is the nearest to 0.1 in 1\/13, -3, r?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.00012 - 11. What is b rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3329344, 6658682, 9988020, 13317358, 16646696?\n\"Answer: 3329338*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.54 - -3.54. Suppose 3 = 3*x + 4*p, -x = -3*x + 5*p + 2. Let w = x - -2. Which is the nearest to -0.2? (a) j (b) 2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21832 + 21840. Solve x + 0 = 4*z, -2*u + 8 = 5*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5525328*p**3 - 5108863?\nAnswer: 16575984*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 3488 = 107*d + 100*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 144.6464 and 0.23.\nAnswer: 33.268672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -125*m - 22. Is 74 a factor of w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 306 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -11*o + 592. Let g = -33 + o. Solve 2*b = -6, 5*m - 3*b - g = -b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87443 is divided by 87337?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -110*j - 130. Let o be (-783)\/58*(-2)\/(-3). What is the units digit of a(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(72)*1)\/sqrt(12))\/(sqrt(9)\/(5*sqrt(24)\/sqrt(8))).\nAnswer: -25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3513042 is divided by 71.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327948?\nAnswer: 2, 3, 27329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -48. Suppose h = -5*z + 1144 + 3171. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/36 + ((-12)\/(-135))\/((-25)\/125). Which is the biggest value? (a) x (b) 3 (c) 9\/31 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304267773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 17734595*r - 53203794.\nAnswer: (r - 17734598)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*i + 171, -3*r + 38 - 95 = -i. Suppose 2*g = 3*f - 19, -3*g + i = 4*f + f. Let j(z) = z**3 - 8*z**2 - 6*z - 12. Give j(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2828.439nm?\nAnswer: 0.002828439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 28*v)*(-5*v - 2*v + v) + v**2 - 5*v**2 + 2*v**2.\nAnswer: 166*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19344 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*k - 17 = 0, -b + 4*k - 2 = 2*k. Let g be 12\/(-72) - 215\/6. Let z be g\/21*(-6 + -1). What is the greatest common divisor of z and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4035\/283 or -14?\nAnswer: -4035\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than 94.811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 414*s**5\/5 - 214*s**2 + 229. What is the second derivative of t(m) wrt m?\nAnswer: 4968*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*w + 4. Let n be -5 - (w + 0)\/1. Does 14 divide (-330)\/(-9) + 4\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/((30\/45)\/((-70)\/(-15))).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1449853 divided by 1.\nAnswer: 1449853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u + u - u)*(1 - 3 + 1) - u + 0*u + 4*u)*(3*u + 4*u + u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 984 = 21*q + 8*n - 12*n, -4*n = -4*q - 240 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**3 - 103. Let q(r) = -5*r - 4. Let v(h) = 4*h + 3. Let x = 10 + -7. Let g(o) = x*q(o) + 4*v(o). Calculate g(d(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 42 - 27 = 5*b, 12 = -2*j + 5*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -196*k**3 + 9*k**2 + 4. Let r = 759 + -764. Let p(b) = -196*b**3 + 6*b**2 + 5. Let d(j) = r*p(j) + 4*c(j). Find the third derivative of d(m) wrt m.\nAnswer: 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.8 (b) 9 (c) 101 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/4 and 5\/1278.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 256 - 978?\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-2)\/28*-2). What is the tens digit of 1515\/3 - (-7)\/(v\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 5:45 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*z - 1 = -p, 5*p + 4*z - 34 = 0. What is the least common multiple of p and 19?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 113.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -250, -619, -1318, -2455, -4138, -6475, -9574?\nAnswer: -13543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -6*f - h, 679*h = f + 683*h - 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7540\/11 or -96?\nAnswer: 7540\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16861213337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.175 and 5.\nAnswer: -5.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 109*w**2 - 81*w - 81. Let c be j(-1). What is the highest common factor of c and 1417?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6268806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 882*s**3 - 30*s + 893*s**3 - 1777*s**3.\nAnswer: -2*s**3 - 30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 149498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(8 - (-60)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 + (-20)\/(-15). Suppose -11 = -2*q - j. Suppose -5*r + 5 = -q. Solve r*b - 5*b = -12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*c = -393, 0 = 16*q - 15*q + 2*c - 81. Let m be (q\/(-22))\/7*-1*22. Solve -4*g + m*g + 14 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -4, 0, 116.1, 2.\nAnswer: -4, 0, 2, 32, 116.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(-2*sqrt(150))*6)\/(sqrt(4)\/((sqrt(2)*4 - sqrt(2)) + sqrt(2)) + sqrt(12)\/(sqrt(6)*-1)).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3370.9999997603 + -3371. What is j rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0 - 3. Suppose t + 5*o = 36, -5*t + 45 = -j*o + o. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*l + 648, -3*n + 2040 = -3*l + 7*l. Calculate the greatest common divisor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8749232567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -8, -2, -5, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 3. Let m be y(7). Find the second derivative of -3 - 6*w - m*w**3 + 1 + 2 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 e when four letters picked without replacement from veeev?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 5*s + 5. Let m(t) = -t**2 + 2*t - 2. Let h(v) = 2*j(v) + 7*m(v). Let u = -11 - -7. Let a be h(u). What is a rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 1\/1) + 2. Solve w + f*v + 14 = -w, 0 = -4*w - 3*v - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 5:43 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26161 + 74313 + 7326 = -4312*z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k + 2*k)*(-k**2 - k**2 + k**2) + 2*k + 630*k**2 - 6*k**3 - 630*k**2.\nAnswer: -8*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/329 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 20. Let d be q(0). Let t = d - -24. Find the third derivative of 15*x**4 - 9*x**t + 32*x**2 - 29*x**4 wrt x.\nAnswer: -552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-3 + 20\/16). Let n be 3*(8\/3)\/(-2). Let y be n\/(-14) - (-22)\/(-28). What is the closest to y in -2\/9, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28770504 divided by 4795084.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16142 - -12888. Round y to the nearest 100.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033045887 rounded to four decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 3 (c) -405 (d) -5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(102)*3)\/sqrt(2))\/(sqrt(75)*-4 + (sqrt(3) - (sqrt(3) - ((sqrt(240) - sqrt(15))\/sqrt(5) + sqrt(3))))).\nAnswer: -9*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3149090 to the power of 1\/2, to the nearest integer?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -46 + (-47 - -151)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-15) - (52\/10)\/(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:41 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 32 = y, -48 = -y + 14*g - 19*g. Sort 6, -2, -11, 5, y in descending order.\nAnswer: y, 6, 5, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/22, 139, -0.1 in increasing order.\nAnswer: -0.1, -1\/22, 2, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002261861209 to five decimal places.\nAnswer: 0.00226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2172*n**2. Let s(r) = -550*r + 3. Determine s(a(o)).\nAnswer: 1194600*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*q**3 + 15*q**2 + 2 - 40*q**3 - 30*q**3 + 99*q**3 to the form x + h*q**2 + s*q**3 + w*q and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 96*b - 236. What is the hundreds digit of f(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54187\/98 + 3\/42. Solve 7*z = -n + 539 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/10 + 6)\/(1\/(-2)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 8. Suppose 0 = 5*u - 19 + 54. Determine q(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -5*o - 6*r, 5008*o - 5013*o - 12*r - 42 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7130877 times 117?\nAnswer: -834312609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3138788, -3138789, -3138790, -3138791, -3138792, -3138793?\n\"Answer: -y - 3138787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 172 = -207. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) - -2*sqrt(68)*-2))\/(sqrt(20)\/(sqrt(45) - sqrt(5)))*6 + 3)**2.\nAnswer: 288*sqrt(17) + 39177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 424 - 693. Let n = 273 + g. Solve 6 = -n*f + 2*b - 0*b, 3*b = f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 105, 104, 103, 102, 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4260*g + 357823. What is o(-84)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1731753 by -837.\nAnswer: 2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 7:42 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/36250 and 59\/24500.\nAnswer: 3552500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 4 = 6*n, -3*i + 4*n + 17 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 115, 237, 387, 553, 723?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -4. Let y = 1 - u. What is the second smallest value in -3, y, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.4, 13, -2\/47, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 y, and 2 l when four letters picked without replacement from {y: 1, x: 4, l: 6, c: 2}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*f + 174, 0*f = 5*h - 5*f - 170. Let n = h + -6. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2706 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, p: 3, v: 7}. What is prob of picking 2 p and 2 r?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 + 3*c**2 + c - 2. Let k be n(2). Does 16 divide (1 - (-38)\/2) + k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*l = 84*l + 3*o + 101, -2*o - 137 = 42*l + 25*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -51152627, -51152631, -51152637, -51152645, -51152655, -51152667, -51152681?\n\"Answer: -y**2 - y - 51152625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(27))\/sqrt(9) + 0)*2)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 19 + 7 = 0. What is the smallest common multiple of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b - 11 - 8*b - b + 40. Let k be u(-10). Suppose -2*w + k = -3*l - 34, -l - 121 = -3*w. What is the lowest common multiple of w and 44?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163 - 160.52. Let u = -2.480000704 + r. What is u rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d = 15*d + 364. Let n(i) = i**2 - 25*i + 94. Let f be n(d). Suppose x - 2*x = -15. Calculate the greatest common factor of x and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) 0.1 (c) 4 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030915619735 to 7 dps.\nAnswer: -0.0003092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 3*g**2\/2 + 20*g - 2. List the prime factors of v(9).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -1\/7*s + 0*s**2 + 1\/21*s**3 - 2. Find p, given that l(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-10))\/(12\/(-90)). Let w = r + 29. Which is smaller: 0.2 or w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (-3)\/2)\/((-2)\/4). Let k(y) = 10*y. Determine k(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6576?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1*1\/(-2)*-26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -28. Suppose 3*v - 94 = -5*q, -k*q + 50 = -2*q - 5*v. Suppose 6*n - q = 11*n. Let j(s) = -4*s. Let c(i) = -4*i. What is n*j(y) + 3*c(y)?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 7858295659.\nAnswer: 7858295655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*r**2 - 1 + 5 - 1 + 1 wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53*(3 + -4)*263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 27.01053. What is t rounded to 4 decimal places?\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11378*-97\nAnswer: -1103666","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*3 + 5 + -3.\nAnswer: 2 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13652*z = 13647*z, 0 = -7*r - 4*z - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**(-1\/29)*r*r)\/r*r*r*r)\/(r**9\/r) assuming r is positive.\nAnswer: r**(-30\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*d - 3*d - 1 = 0, -3*s - 18 = -4*d. Is s\/((24\/3513)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*f - 89*f - 225*f - 37*f + 11*f.\nAnswer: -184*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2.982. Let n = k - -0.115. What is n rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 5:32 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13275074*s - 5 + 13274403*s + 5. Let p(a) = -10*a. Calculate p(t(b)).\nAnswer: 6710*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 14. Let r(s) = -s + 4. Let o(a) be the third derivative of -a**4\/12 + 3*a**3\/2 - a**2. Let k = -1457 - -1460. What is k*o(j) + t*r(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -20 - 16*j + 0*j**3 + 6*j**2 - 4 + 2*j + j**3. What is the units digit of d(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 3*d - 15. Suppose -3*q - 2*q + 2*v = -33, 25 = 3*q + 4*v. Let a be t(q). What is the highest common divisor of a and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1584371 - -3.1248465?\nAnswer: -1584367.8751535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 9*j = 3. What is the hundreds digit of -1 - ((-5)\/j*1 + -566)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 3*h - 87. Let y = -38 + h. Suppose -6 + y = f. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/7, 0.2, 0, -0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 111 + 536 = 0. Let n = 21 + -8. Suppose 3*m - o = -n. What is the highest common divisor of m and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/((w*w**13*w)\/w*w))\/w)**(-40)*w**(-2\/25)*w\/((w\/(w\/w**(3\/5)))\/w))**(8\/9) assuming w is positive.\nAnswer: w**(112264\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 3 + 0*g**4 + 0*g**6 + 3\/7*g**7 + 0*g**2 + 0*g**5 + 0*g - 1\/3*g**3. Find the third derivative of b(x) wrt x.\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29432415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 78.33975 micrometers in kilometers?\nAnswer: 0.00000007833975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 438, 662, 888?\nAnswer: 1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9268920 divided by 3089640?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -11) + 3*-1. Let l = 15 - x. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1872) + -4)*6 + 1.\nAnswer: 1 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -37. Which is smaller: z or 1\/70?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-323)\/((-17119)\/(-2862)) + 3\/4*(0 - 4)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.343 and -0.06?\nAnswer: -0.02058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 5*f - 9. Let a(n) = n - 2. Let c be a(-4). Let y be m(c). What is the units digit of y\/20 + 206\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**5 - 1 + 1)*(-4 + 0 + 2)*(2 - 4 - 1).\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -811239, -811247, -811253, -811257, -811259, -811259, -811257?\nAnswer: -811253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 18 = -4*z, -18*z = -4*x - 17*z + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4199 - -4211. What is the least common multiple of 1556 and i?\nAnswer: 4668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0.47, 0, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 11:09 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.6 - -121.6. Let r = -105 + h. Which is the nearest to 0? (a) r (b) -1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61393 and 2802908.\nAnswer: 2117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 284442\/13 - 21880. Let z = -4.9 - 0.1. What is the closest to t in 2, -2\/3, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 136432538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 + 1287*u + 5166. Calculate h(-4).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124134881?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 + 63*q - 83. Determine w(20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 6*s**2 + 3. Let v(u) = u**2 + 9*u + 6. Let z be v(-9). Let q be d(z). Suppose 0 = -3*k - 4*j + 303, -2*k - 4*j - 85 = -q*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4025788677?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 + 7. Let q = k + -93. Which is the smallest value? (a) q (b) -3\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 0.112?\nAnswer: 0.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. What is the third derivative of -2*c**2 + 4*c**3 - 5*c**2 + g*c**3 + c**3 wrt c?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7207 rounded to 2 dps?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from jphbqhy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -m + 5*j - 2*j, 16 = -2*m - 2*j. Let i = -18.667 + 19.167. What is the third biggest value in 59, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.435, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182855797.\nAnswer: 67, 103, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30363037 (base 9) in base 10?\nAnswer: 14567641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-72) - (-2)\/9. Let g = 1\/4 + h. Determine w, given that -g*w**2 + 0 - 1\/2*w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -86168133.\nAnswer: 25850439.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 18162709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -18, -3\/4, -0.3, 0.1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 115 = 5*q, -112 = -4*t - 5*q + q. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -1)*(14 - 14) - 0. Suppose 12*b - 6*b - 1710 = x. Does 57 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -3, -5, -7, -9, -11?\n\"Answer: -2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 101?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9397397 to the power of 1\/2, to the nearest integer?\nAnswer: 3066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.61388 meters in millimeters?\nAnswer: 73613.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 9. Suppose 0 = -3*x - 5*v + 341, -5*x + 10*v + 593 = 6*v. What are the prime factors of (0 + x)*j\/(-27)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322 - 4*u + u - 184 - 166.\nAnswer: -3*u - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 3 (b) 2 (c) 6 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**7\/210 - i**6\/75 - i**5\/25 + i**4\/30 + i**3\/10 - 105*i + 1. Find h, given that d(h) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -59.\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/14293 + 1873991\/2872893. Let n = i - -1\/67. What is the biggest value in n, 0, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = w + y + 2445002, 1466996 = 3*w + 2*y. Suppose w = -2*r + 3*r. What is r rounded to the nearest 10000?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 - 43d?\nAnswer: -46e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 7 (b) 80 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l + 41*l - 68 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72816 is divided by 8086.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 28241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 448 = 378. What is the smallest common multiple of 21 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23043314 (base 9) in base 2?\nAnswer: 101010101011101011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/324 and 115\/216.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300174.\nAnswer: 2, 3, 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 39*b - 43*b. Calculate the remainder when 96 is divided by b\/14 + 6\/126*93.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 27*g**2 - 49*g + 9. What is the hundreds digit of c(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58987, 59010, 59049, 59098, 59151, 59202?\n\"Answer: -k**3 + 14*k**2 - 12*k + 58986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(152)\/sqrt(8) + sqrt(19))*4 + sqrt(95)\/(-1*(4*sqrt(5) - sqrt(5))))**2*2 + 1 + 0.\nAnswer: 736*sqrt(19)\/3 + 21263\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 35959?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-17\/2)*l*(l*l**(1\/10)\/l)\/l*l)\/(l**(-1\/22)\/(l**(-22)\/l)) assuming l is positive.\nAnswer: l**(-3339\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/15)\/(p\/(p\/(p\/(p*p*p*(p\/((p*p\/p**0)\/p))\/p*p)))))**(3\/7)*(p**(1\/8)*p**(5\/3))**39 assuming p is positive.\nAnswer: p**(19821\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 446 = -5*r. Let t = 67 - r. Let c be (7000\/(-21))\/((-2)\/t). What is c rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, and 1 z when three letters picked without replacement from xcjrjkrzjjxkxrzz?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20010 (base 3) in base 2?\nAnswer: -10100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*t - 506, c - 511 = 4*t - 3*t. What is the tens digit of ((-4)\/6)\/((-4)\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 13*f - 6. Let w(j) = -11*j + 5. Let l be 10\/(3 + -8)*(-10)\/4. Let a(g) = l*y(g) + 6*w(g). Let z(p) = -105*p. Determine a(z(h)).\nAnswer: 105*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52903619411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-70)\/(-9) - (-2)\/9. Suppose -3*q + f*q = 62000005. Suppose -4*o - 24800004 = 4*i, 2*i - i = -2*o - q. Round o to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1095?\nAnswer: -3285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35, -46, -63, -86, -115, -150, -191?\n\"Answer: -3*s**2 - 2*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18079989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) + (-22)\/(-28). Let p be (-6)\/45 + (-36)\/(-270). Suppose -1\/2*o**2 + h + p*o = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 10*m**2 - 11*m - 12. What is l(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - w**2)*(7 + 1 + 1) - 5*w**2 + 0*w**2 + 2*w**2.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 4*sqrt(153) + -2 + 1 + 0 + sqrt(153))**2.\nAnswer: -36*sqrt(17) + 5509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * -106376.\nAnswer: 3723160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 9:39 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218393 is divided by 1150?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/5 and 303\/17228 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -7. Suppose 0 = 2*r + 3*r - d. Find the first derivative of 9 - 8*h + 7*h - r - 8*h wrt h.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56236 divided by 14059?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -42) + -2 - (105 - (9 + 99))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnvtivtxvnixiitvivtl. Give prob of picking 1 t and 1 i.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -5\/16*f**4 + 0 - 42*f**2 + 0*f + 25\/6*f**3 - 1\/24*f**5. Solve q(r) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 14*c**2 - 1. Let v be w(-14). Let r = 3 - v. Suppose r*a + 112 = 8*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12939992 divided by -5746.\nAnswer: 2252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -11. Does q = -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**3 - z**2 - 2*z - 4. Let y be f(-2). Let c = 58 + y. Calculate the highest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(1\/(4\/2)). Let z be -4*(1 - (-39)\/t). Let p = -2.06 - -0.06. Which is the smallest value? (a) z (b) p (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3124402 to the nearest integer?\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 2. Let h be -3 + b - (-236)\/2. Suppose 3*f = 7*f - 4*w - 520, f = 4*w + h. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 179 and 1661.\nAnswer: 297319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**3 - 44*f**2 - 10*f + 17. Let b(w) = -3*w**3 + 14*w**2 + 4*w - 6. Let u(y) = -7*b(y) - 2*j(y). Determine u(11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 4192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p - 4. Let z be s(4). Suppose 4*d = d + z. Let o = 3829 - 7657\/2. Is o at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3*a - 15, -8*a + 3*a = 2*c + 25. Suppose c*y = -2*y + 12. What are the prime factors of (-2)\/3 + 16\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 11 = 26, -40 = -4*z - 4*x. Suppose 0 = 4*f + 4 - 24, -f = -4*h + z. Suppose 0 = h*s + 2*s - 105. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 8:55 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(8))**2.\nAnswer: -60 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (3 + 10 + -9 - (3 - 833)) + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 3)*(h**2 + 2*h**2 + h**2)*(-4*h**2 + 3*h**2 - h**2) to the form t*h**3 + o + n*h**4 + g*h + c*h**2 and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 3*y**2 - 2*y + 2. Let f be g(-2). Let v(p) = 6*p**f - p + 10*p**3 - 2*p - 4*p**3 + 2. Let t be v(4). Round t to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Let n = 481\/3 - 160. Let o = s - n. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 1)*(7 - 6). Let j(k) = 3*k**2 - 2*k + 2. Is j(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4059958 tonnes to kilograms.\nAnswer: 405.9958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 12\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/15 + (-592)\/(-20). Suppose 0 = -4*n - 0*n - 4*r + 12, -4*n + 5*r = -q. Sort 2, 1, n.\nAnswer: 1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-88))\/(((-9)\/474)\/(36\/72)) and -79\/946?\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 20. Let s be (-14 - i)\/(6\/(-3)). Suppose -4*x + 202 = -2*t, 0*x - s*x = 5*t - 230. Calculate the remainder when x is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-4*d**3 - d**3 + 4*d**3) + 2 - 2*d**3 - 2 + d**3 + 0*d**3 - 3*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -s - 5*u, -3*s + 4*s + u = 4. What is the units digit of (-12)\/s*6\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14*b + 12. Let k be r(-1). Sort k, -5, -143.\nAnswer: -143, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrnnknnnkrfnfnkkn. What is prob of sequence rr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 278 = 272. Suppose 162 - c = -4*n. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 plus 171472?\nAnswer: 171471.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/41)*c**(17\/3) assuming c is positive.\nAnswer: c**(703\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5825211*k*t**4 + 5*k*t**2 - 3422*k*t - 158*k*u + 52*t**4*u + 5*t**2*u + t*u wrt t?\nAnswer: 139805064*k*t + 1248*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 6 + 7*o + (o + 5*o - 4*o)*(-1 - 1 + 0) + 3 - 3 + o)*(-1 + 2 + 1).\nAnswer: 8*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2110.106 - 2110. What is the third biggest value in -0.5, -0.3, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*o + 5109*c - 5112*c, -4*c = -3*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.631 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220426 and 1115054.\nAnswer: 342321578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101230 (base 4) in base 11?\nAnswer: 3a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*m - 14, -2*m - 12 = -5*c + 26. Let n(z) = -z**2 + z + 3. Suppose -35 = -4*q - 43. Let f(y) = -y**2 + 3. Let k(x) = q*f(x) + 3*n(x). Give k(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 8*h - 4 + 8, -n = -18*h + 16*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -392, -586, -780?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sivbbvesvwbvibvb. What is prob of picking 2 b, 1 s, and 1 i?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403.5903 rounded to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(5 + (sqrt(539) - sqrt(539)*-5) + -5*(sqrt(539) + (sqrt(539) - (2 + sqrt(539)) - sqrt(539))**2)).\nAnswer: 2394*sqrt(11) + 48780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w**2 + 135*w - 16. Let a be k(-18). What is the highest common divisor of a and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 913 - 25246 = -54*f + 63795. What is the highest common divisor of f and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.1 + 8. Let y = -60 + 178\/3. What is the closest to k in 6\/7, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -3, 24, -82, 1 in ascending order.\nAnswer: -82, -9, -3, -2, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7018401 millennia to years.\nAnswer: 701.8401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19181424?\nAnswer: 2, 3, 399613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -74544443.5 to the nearest ten thousand.\nAnswer: -74540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (123\/(-82))\/(27\/(-4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-10) - 14\/35. Let k = d + 2. Let h(j) = -7*j**3 + j**2 - 2*j + 1. Determine h(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 11010212021?\nAnswer: -11010212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q = -265 - 612 - 323 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -26\/73 (b) 27 (c) 6 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42304843?\nAnswer: 7, 23, 127, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165270.7 minus 1.7?\nAnswer: 165269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -810, -1812, -3204, -4980, -7134?\nAnswer: -9660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*h, 3*h + 39 - 3 = 3*m. Solve 0 = -z - 4 + m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -95*f + 97*f. Solve 13*l - 4 = f*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 101. Let f be d(-10). Solve 0 = f*r - 107*r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 7*y - 1)*(-2 + 5 - 1)*(3*y**2 + 0*y**2 - 5*y**2) as u*y + a*y**3 + k + s*y**2 and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9216 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472186019 is divided by 983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 99*b**2 - 41*b + 5555. Determine j(-98).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 2:39 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1 = p + p, -5*p - 5*z = 0. Calculate the remainder when ((-22)\/6)\/(p\/3) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5320980 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5077\/7332 - 22\/47. Let h = t - -1\/39. Let j = 280 - 281. Is h not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 2 - 47*v**2 + 203*v**2 + 13 + 29 + 2*v.\nAnswer: 156*v**2 + 2*v + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7102?\nAnswer: 2, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 4*p + 3*p - 13*p + 6*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 1, j: 2, v: 5, n: 1, i: 6}. Give prob of picking 2 j.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12220853.\nAnswer: 12220853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9*m**2 - 1. Let k be i(-1). Suppose 4*l + l - 10 = 0. Let q be 2 + 152\/(l + 2). Calculate the highest common factor of k and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33 or -2809\/131?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 1\/13 (c) -1\/4 (d) -1\/2 (e) 22\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -33*z + 35. What are the prime factors of v(-8)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/9, 0.3, 1, -2 in increasing order.\nAnswer: -3, -2, -2\/9, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l*n**4 - 3*l*n*x + 100*n**4*x**2 + 2*n*x**2 + 5*n*x + 7*n wrt n.\nAnswer: -60*l*n**2 + 1200*n**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1468 = 4*i, 7318 = -5*w + 48*i - 50*i. Which is the closest to -2\/11? (a) -1\/8 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 18392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 6*v = -20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 13*x - 4643 + 339. Suppose 2*r + 15 = 5*r. Suppose 5*c - 110 = -0*s - r*s, -3*c = -s - 46. What is the remainder when x is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 10*h + 5*h. Solve h*r + r = -3*u + 4, -3*u = -3*r - 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*s - 8 = 330*s - 2 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - u = -0*l + 25, -2*l + 4*u - 8 = 0. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64\/583 - -1\/53. Let v = 16.5 - 16.2. What is the second biggest value in o, 0.06, v?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-92)\/(-4) + 0 + -3. Let m = 22 - p. Is 1\/2 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/125)\/((-1)\/5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(76)\/(sqrt(4)*4) - sqrt(19)*-4*3).\nAnswer: 49*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56679103937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48727, -48726, -48725, -48724?\n\"Answer: d - 48728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132288*z - 70483*z - 67203*z.\nAnswer: -5398*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.722294 millilitres to litres.\nAnswer: 0.008722294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*w**3 - 193*w**2.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -16*n**2 + 13*n + 12. Let c be s(-8). Let g = 6779\/6 + c. What is the common denominator of g and ((-2)\/4)\/(45\/378)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190 - 109. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 310 + -320. What is the hundreds digit of ((-255)\/o)\/((-2)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 45, 5, 0.4, -1.82?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.93 - 0.07. Let i = -0.05 - -31.05. Let p = i + -31.2. Which is the closest to j? (a) p (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2 + (-1 + 0 + 3)*(-4 - 10 + 5))*(-5*o + 4*o - o) to z*o + m and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13599 - 13377. What is the least common multiple of 666 and m?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -47 + -3 + 18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {u: 1, p: 2, g: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30859.\nAnswer: 30859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 444, 0.4, -4, 0.1 in descending order.\nAnswer: 444, 0.4, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + r)*(-2 + 3 + 2) + 12*r - 11*r + 21*r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16010228 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-18)\/24)\/((-3)\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*d - 106*d**3 - 103*d**3 + 211*d**3 + (0*d + 2*d + 0*d)*(-15 + 15 + 2*d**2).\nAnswer: 6*d**3 + 38*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.14362265 and 930411.\nAnswer: 930410.85637735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 525127602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 11*d**2 + 23*d + 24. Let x be h(13). Let s(f) be the second derivative of -f**3\/3 + 13*f**2\/2 - f. List the prime factors of s(x).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u - 53. Let k be l(15). Suppose 0 = -k*c + 7590 - 2739. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(30))\/(1*sqrt(1440)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -5. Let i be -2 + (a - 0) - -2. What is the remainder when 34 is divided by 19*i + (-1 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165*10\/350 - (-2 + (-72)\/(-42))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32342 - -171116. Suppose -5*u = -g - 331542. Round u to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*p = 32*p - 20*p + 188. Sort p, -59, 3, -2 in descending order.\nAnswer: 3, p, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*d*r*v**3 - d*r*v - r*v**3 - r*v + 83*r wrt d.\nAnswer: -38*r*v**3 - r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1. Let v = -2184 - -2186. Let b(l) = 5*l**2 + 4*l + 2. Calculate v*z(g) + b(g).\nAnswer: 5*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 9 = r, j + 29 = -r + 30. Let x(t) = -3*t + 8. Determine x(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 3298.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136513, 136521, 136531, 136543, 136557, 136573, 136591?\nAnswer: 136611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -3.19?\nAnswer: 0.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 91*c**2 - c + 1. Determine l(1).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/36 - 2\/9)\/((-2223)\/(-156)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 34. Put 45, 5, j in descending order.\nAnswer: 45, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(0\/(-3) + -6). Suppose -b - 20 = -q*b. Suppose 2*m = b*m - 4. Solve t - m = 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6764.828 years to millennia.\nAnswer: 6.764828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from gggfgbvgvgvtggtfgfg.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x + 2*x + 6*x + x to the form a + i*x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 + -97. Let q = -17 + 17.6. Which is the fourth biggest value? (a) -2 (b) q (c) f (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**5\/180 + 17*b**4\/24 - 25*b**3\/9 - 37*b**2\/2 + b + 28. Let l(u) be the second derivative of g(u). Factor l(z).\nAnswer: -(z - 50)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 10. Let m = -3 - o. Find the third derivative of 2*z**m - z**5 + 7*z**5 - 3*z**5 - 5*z**2 wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.38575 and 0.4.\nAnswer: 0.01425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -11*j**3 + 32. Let c(f) = 22*f**3 - 64. Let r(l) = -11*a(l) - 6*c(l). Differentiate r(s) wrt s.\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3922*i**3 + 1281 - 642 - 640.\nAnswer: 3922*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 6, -19, -0.03, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 8:42 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/294 and -50\/13?\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1889184 divided by -3.\nAnswer: 629728","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 5*t**2 - t - 2. Let y be s(-5). Suppose y*k = 4*k - 2. What is z in -4 + 9*z**2 - 7*z**k + 2*z + 0*z = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1270 or -2115?\nAnswer: -2115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Suppose -40*s - 496 = 43*s - 21*s. Let b be (h*s\/(-48))\/(1\/6). Solve 0 = 2*i - b*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 36*v + 248. Let i be ((-35)\/15)\/7 - (22\/6 - -3). Determine m(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102.2 - 48.9. Let k = -27 + i. Let t = k - 26. Put t, 4, -4\/5 in decreasing order.\nAnswer: 4, t, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8615*i - 65. Let x be q(31). What is x rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 34, 63, 112, 187?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 413 - 458 = 5*o, 0 = 4*o - 2*b + 24. Let w(k) = 10*k**3 - k**2 + 8*k - 3. Let g(x) = -3*x**3 - 3*x + 1. Calculate o*g(v) - 2*w(v).\nAnswer: v**3 + 2*v**2 + 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o - 19. Let h(d) = 5*d - 17. What is -6*b(q) + 5*h(q)?\nAnswer: q + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7908613 + 11911417. Let d = 4002843.99962 - o. Let f = -40 + d. What is f rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1715, -1742, -1789, -1868, -1991?\nAnswer: -2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, v: 11, c: 1, q: 6}. Give prob of sequence vfqq.\nAnswer: 55\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(0*w + w - 3*w) + 25 - 25 + 5*w)*(2*w**2 - 2*w + 2*w).\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 - 14*r + 43. Let s be z(2). Factor 4\/11*y**2 - 2\/11*y + 0 + 0*y**s + 2\/11*y**5 - 4\/11*y**4.\nAnswer: 2*y*(y - 1)**3*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224.61*-21639.\nAnswer: -4860335.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116064 - -116036. Let t = -47 + 18. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/7, -0.3 in descending order.\nAnswer: -2\/7, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(55\/(-5)*(-57)\/(-1045))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3644721101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 900270707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = q + 3*k + 19, 2*q - k = 7. What is the second smallest value in -3, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 896 + -10753\/12. Sort 1.3, 1, v in ascending order.\nAnswer: v, 1, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4448732?\nAnswer: 2, 37, 30059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, b: 13, j: 1}. Give prob of picking 1 b and 1 j.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12601\/4 + -3150. What is the common denominator of n and -97\/2152?\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -14. Suppose 5*a - g = 42, a + 9 = 2*g + 12. Let c(d) = -5*d - y*d - a*d + 27*d. Let q(v) = 2*v**2. Calculate q(c(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + -16. What is the common denominator of 53\/6 and (-238)\/f - (-6)\/(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 11 = -25*i + 21*i, -3*i = 2*l - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -2)\/(4\/(-4)) + 2. Suppose -4 = p - 5*v + 8, -3*v = -2*p - u. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -248 - -1d8b?\nAnswer: 1b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4\/(-16) - 202\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 65.6736277 and -0.6?\nAnswer: 66.2736277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = -2*g + 160. Suppose 33*m - g*m - 46 = 0. Solve m*s + 166 = 162 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 - 29*z + 502. Give m(11).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at least 1\/254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-3 + 37 - (-1 - (2 - (-4 - -12)))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5575.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 6*v - 5*v - v + 0*v - v - 6 + 2*v + 6 + (-v - 2*v + 4*v)*(-2 + 0 + 3).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 8:46 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i + 17. Calculate u(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aarearrqawrr. Give prob of sequence aqw.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.80684 plus -0.0168?\nAnswer: -2.82364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 6. Which is smaller: y or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyiyyyiyyyyiyyyiy. Give prob of sequence yiyi.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -42, -70, -102, -138, -178, -222?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 27*r**2 - 39*r + 674. What are the prime factors of h(11)?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 78*p - 585. Let l be s(9). What is the highest common factor of l and 4992?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 40 = d. What is the remainder when 77 + (-4)\/(-8)*d is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 5:03 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -2) + 0*(9 + 336\/(-36))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4 - 4*q**2 + 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 55 = 6*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -3.4. Let g = -7388 - -7385. Sort g, 5, -1\/7, k in descending order.\nAnswer: 5, -1\/7, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, p: 1, c: 1, r: 2, n: 4}. What is prob of sequence rn?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43384.\nAnswer: 2, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2 + 137*t + 631. Let n be y(-4). Solve 0 = -4*p - 4*w + 16, -n*p - 69 + 80 = 4*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2405, -5085, -8021, -11183, -14541, -18065, -21725?\nAnswer: -25491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 53 = 781. Calculate the greatest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14196536 divided by 1774567?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202003 - -11?\nAnswer: -201332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -119\/1452266 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -929*m + 1886*m - 956*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.51 * 0.43\nAnswer: 0.6493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2)\/((-24)\/(-120)). Find the common denominator of (s + (-4)\/(-14))*-1 and -10\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.006846 and -0.5?\nAnswer: -0.003423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/20 - 5*h**4\/12 - h**3\/3 - 641*h**2 - 1. Determine y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - s - 1. Let t(a) = 3*a**3 - 1 + 3*a + a**3 + 4. Suppose 5*b + 3*q - 41 = 0, -4*b + 19 + 18 = q. Let u be 18\/(-15)*b\/(-4). Give u*c(k) + t(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49111770 divided by -9822354?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 20 = 0, 0*n - n - 5*y + 22 = 0. Let l(f) = 5 - 3 + 1 - f - n*f. Determine l(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**4\/24 + 5*u**3\/3 - 23*u**2. Let f be p(-5). Solve 0*w - f = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -981, -1891, -2739, -3531, -4273, -4971, -5631?\n\"Answer: -w**3 + 37*w**2 - 1014*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52088 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 t(i) be the first derivative of -i**3\/3 + i**2\/2 - 19. Let f(b) = 2*b**2 - 5*b + 22. Let m(w) = -f(w) - 3*t(w). Let s be m(-6). Is s <= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/133 + (-60)\/(-189).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10466*v**4 - v**3 - 4*v**2 - 774511*v wrt v.\nAnswer: -125592*v**2 - 6*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 4. Suppose -32 = 5*u - w + 3*w, 0 = 5*u - 2*w + 48. What is the remainder when 77 is divided by m(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*o + 32, 7*t - 2*t = 2*o + 20. Find the common denominator of (-31)\/4 - (-1)\/(-3) and ((-290)\/o)\/(88\/18).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8*v**3 + 3*v**2 + 6*v + 15. Let m(o) = -4*o**3 + o**2 + 3*o + 7. Let i(z) = 13*m(z) - 6*u(z). Let k(h) = h**3 + h**2 - h. Give i(s) + 5*k(s).\nAnswer: s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-22)*902\/205*-5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/144*(3 - 0).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15452\/28 - (-54)\/(-63) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4}. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3685854, -3685853, -3685852, -3685851, -3685850, -3685849?\nAnswer: -3685848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.154 + 1.64. Let g = b + 0.5608. What is g rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 1157*d - 880837. What is a(524)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-3) + (-3992)\/(-1332). Let l = -4\/37 + z. Suppose 0 + 1 = v. Is v less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 6)*15\/9. Suppose -3*w - 675 = -q*r - 8*w, r - 3*w = 119. Suppose -5*p - r = -3*d, 66 = 2*d + p + p. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3523 to 2 dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(51\/(-27))*(-1)\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -2, 86 in descending order.\nAnswer: 86, 6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + -17 - -33 - (-63 + 0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3261 = 13*s - 10*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + 38*o - 17. Let y be s(12). Suppose 5*z - 8 = y, 5*z - 560 = -5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 - -54. Let k = 30809 - 30965.01. Let i = x + k. Sort -1, i, -0.04 in increasing order.\nAnswer: -1, -0.04, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - x. Let r(i) = 4*i**3 + 13*i**2 + 17*i + 8. Let z(a) = 3*l(a) - r(a). Factor z(y).\nAnswer: -4*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.3 (c) -8909\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 3*w + 10. Determine z(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = -62*g - 43 - 36. Sort 1, -21, g, 4 in decreasing order.\nAnswer: 4, 1, g, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-16)\/m*m\/((m**(-18)*m)\/m*m)*(m\/((m\/m**17)\/m))\/(m\/m**(-1\/2)))**(2\/159) assuming m is positive.\nAnswer: m**(35\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16956227.61ms in weeks?\nAnswer: 0.028036090625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 1*(1 - 5). Let r = -3 - u. Let w be (-2 + 0 - 3)\/r. Solve -2*v - p + w = 0, -3*v + 6*p - 4*p + 11 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56819.\nAnswer: 7, 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2657 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**(-5)*h*h)))\/h**(-1))\/((h*h**5)\/(h\/(((h*h**(-1\/2)\/h)\/h)\/h)))*(h**(1\/4))**(-7)*h**(-6)\/h**(-2\/9) assuming h is positive.\nAnswer: h**(-397\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13402 + -320333?\nAnswer: -334240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -16000 and -15970 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 4*g**3\/3 + g**2 + 3*g. Is u(2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 365, 548, 731, 914?\nAnswer: 1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 - 7*x + 4. What are the prime factors of g(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -62*s**3 + 14*s**2 - 11*s + 8. Suppose -j - 2*x = -11, 3*j - 44*x = -47*x + 12. Let d(h) = 21*h**3 - 5*h**2 + 4*h - 3. Calculate j*m(p) - 8*d(p).\nAnswer: 18*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1223 and -0.07.\nAnswer: -85.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 550 = 10*s. Does -24 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, -49, -53, -35, 11, 91, 211?\n\"Answer: v**3 + 2*v**2 - 33*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5003 and 0.03?\nAnswer: -150.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 - 1 + 0 - 32*i - 29*i - 32*i + 96*i. Give b(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + -6 + (2 - 3 - (-62 - -52)) + -9?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*r - 39*r + 331*r + 2 + 0.\nAnswer: 671*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 19*v**2 + 887*v + 13764. Determine h(-16).\nAnswer: -1196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = -3. Suppose 0 = -4*i + 16, -2*g = -5*g + 2*i - 8. Put g, -2, o in increasing order.\nAnswer: -2, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -38*b**2 - 27*b**2 - 27*b**2 - 20*b**2 - 24*b**2. Let a(o) = -11*o. What is a(f(j))?\nAnswer: 1496*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2. Let z(v) = v + 1162. Give z(c(f)).\nAnswer: -2*f**2 + 1162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84457?\nAnswer: 84457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = 0, 2*s + 5 = 2*t + 15. Let j(o) be the third derivative of -o**4\/24 - 5*o**3\/3 + 2739*o**2. Give j(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64880, -64928, -64990, -65066?\nAnswer: -65156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 370162066 + 0?\nAnswer: 370162066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f - 396. Let t be i(40). Let u be 2 + (0 - (0 - 0)). Let a = 3 + -1. Solve -a = j + u, -3*j = t*d + 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 + (0 - 10) - (487 + -492)) + -21.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 35, -40.\nAnswer: -40, 7, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5)**(-6)\/(d**(-4\/3)*(d*d**(1\/8)\/d)\/d) assuming d is positive.\nAnswer: d**(-667\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 55\/29, 4\/7, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnpnpnqqnqppp. Give prob of sequence nnqp.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 83985070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - 28*x - 23. Let a be b(-13). Solve -5*s - 10 = -4*s + 4*d, -a*s + 9 = -d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 36*a + 31 + 23 - 61*a.\nAnswer: -97*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z = 3*d - 607, -5*d = -3*z + 1849. Let n = 988 - z. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*m + 40 = 54*m. Solve -2*l - 6 = 3*h, m = -4*h - 2*l - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**3\/5 - 19*k**2\/5 + 19*k\/5 + 6\/5 = 0.\nAnswer: -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c8 (base 15) in base 8?\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5*z, 0*z = 3*p + 2*z. Solve p*n - 1 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2790 = -9*l - 61*l - 23*l for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.253? (a) 0.5 (b) -1 (c) -0.4 (d) -674\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*n + 2 - 3*n - 2*n**2)*(-4*n - 4*n + 2*n).\nAnswer: 12*n**3 - 6*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1 + (-15)\/(-1). Suppose -r = -2*g + 4*q, 4*g + 5*q + 3 + 4 = 0. Suppose -g*y + 4*y - 38 = 0. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = -528. Suppose 3*g = -2*a + k, 3*g - 2*g - 44 = -5*a. Suppose -2*z = -4*z + g. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73772.\nAnswer: 2, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-307)\/((-736800)\/37760)*1*-3)\/(4\/10)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3\/2 + 25*c**2\/2 + 50*c = 0. Calculate c.\nAnswer: -20, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5669 + -708.2069. Let o = 708 + m. Round o to two decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3492152999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 73*z**5\/60 - 41*z**2 - 3. Let r(m) = m. Determine d(r(p)).\nAnswer: 73*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -11\/2*l**2 + 45\/4*l**4 - 69\/4*l**3 + 17*l - 6 = 0.\nAnswer: -1, 2\/3, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t + 4*w + 14 = 0, t + 14 = -3*w. Suppose -m = 2*m + 12. Let d(a) = -a**3 - 5*a**2 - 5. Let z be d(-5). Sort t, z, m in increasing order.\nAnswer: z, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 4*a + 5. Suppose 15 = -5*o + 3*b, -3*b - b + 3 = -o. Let q be m(o). Solve -5*i = -l - 6 - 0, -4*l - q = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8416\/53? (a) 0.5 (b) 1\/15 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -17*r**2 + 9*r**2 + 8*r + 7*r**2. Let k be l(0). Solve k = 22*c - 24*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + (8 - (3 + 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 14326712?\nAnswer: -14326713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 d, and 1 h when three letters picked without replacement from {i: 2, y: 3, h: 1, d: 4, v: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82 - -33) + 1 + -7 - -17.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -14. Suppose 2*c - 5*t + 49 = 0, c - 2*t = 2*t - 32. Let r = c - x. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 15\/(-2)) + (-1)\/(-2). Let m(g) be the second derivative of b*g - 11\/20*g**5 + 0*g**4 + 0*g**3 + g**2 + 0. Differentiate m(w) with respect to w.\nAnswer: -33*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4850 - -5058. What is the smallest common multiple of w and 520?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**3 - 5*z + 5. Let q(j) be the first derivative of -3*j**2\/2 + 10*j - 13. Let u be q(5). Let g(m) = -5*m**3 + 8*m - 8. Calculate u*g(p) - 8*x(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 9, 3*a - 11 = t - a. Let x = 7\/141 + -1\/141. Is t bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 q when three letters picked without replacement from qsoqqxxqoe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 >= -6300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 81690393 + 25?\nAnswer: 81690418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 z when three letters picked without replacement from rzzrrzzzzzz?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6790 and 1610?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 16 = -31 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 728 - 20381\/28. Let v be ((-246)\/18)\/(140\/3). Let c = v - t. What is the third biggest value in -3\/7, 5, c?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -9\/83, 19, 12, -3, -2, -5 in decreasing order.\nAnswer: 19, 12, 0.4, -9\/83, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 3375409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 474579 and 124341?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:36 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160332 is divided by 31645.\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7419 + -7?\nAnswer: 7412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -2.9583\nAnswer: 1.18332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 + -202?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1640)\/2870*(-15)\/20?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 22*c - 751. Let a be k(34). Let y(s) = 3*s**3 + 2*s + 4. Let d(i) = 7*i**3 - i**2 + 4*i + 9. Let q(f) = -2*d(f) + 5*y(f). Determine q(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*u + 12 = 0, -f + 0*f + 10 = -3*u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17895\/2? (a) 3\/8 (b) 0.6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/11 + 1\/22*532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x + 27*x**2 + 5*x**2 + 0*x - 31*x**2. What is t(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 11:56 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23342 + 4?\nAnswer: -23334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 5 (c) -4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34887 is divided by 8490?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 - -241. Suppose 90*u = q*u - 552. Calculate the remainder when 229 is divided by u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 86648 = 4*w, 259*r - 261*r = -5*w - 57749. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-4)*(-1)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 382\/7*(-16)\/(160\/(-70)). Let x = -382 + n. Solve -m - 4*g + 4 = x, 4*m + 5*g = 2*m + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-480)*20*3*(-24)\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 64963, 64959, 64951, 64939, 64923?\n\"Answer: -2*u**2 + 2*u + 64963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-56))\/(231\/176).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.19 + 0.164. Let t = -0.01 + 0.1. Let i = t + q. Round i to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837883.\nAnswer: 109, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d**2 + 4*d + 18. Let c be l(9). Let b = c + 920. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 29 - (-2)\/(-2). Let c be (4\/(-6))\/((-4)\/y). Suppose 0 = 2*t + t + 2*j - 9, -3*t - c*j = 0. Solve 0*i - i = -t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 1420 = -4*h, -r - 812 - 309 = -3*h. Calculate the remainder when h is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*t - 4, -6*t = 5*n - 5*t - 22. Solve 9*g - 4*g = o + 23, 0 = -n*g - o + 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 b, and 2 v when four letters picked without replacement from bvkfffbfkvjkfjb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q. Let s(v) = -5*v + 6. Suppose 0*h - 4*k - 14 = -h, -4*h = -3*k - 4. Let n(u) = -4*u + 8. Let j(o) = h*n(o) + 3*s(o). Determine j(m(z)).\nAnswer: -21*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 36*p - 82. Calculate the remainder when i(-45) is divided by 110.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358309143 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23690 and 978?\nAnswer: 11584410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 4, t: 1, i: 3}. What is prob of sequence ns?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.5 and 3.\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 313, 498, 683, 868?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 825289 to the nearest ten thousand.\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 194*y**2 - 3707*y + 63415. What is i(-170)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -75476508?\nAnswer: 75476514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8590029 months?\nAnswer: 0.00071583575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/28365 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2594620*c**2 - c**3 + 2594620*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220 (base 3) to base 14.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79031762*j**2 - 91576877*j wrt j?\nAnswer: 158063524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*l + 5 + 29 - 34 as h*l + d and give h.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/52*-4)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = -44*w + 75238 + 59312. What are the prime factors of w?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 23*v**2 + 674*v - 588. Give b(-24).\nAnswer: -3516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 192\/(-32) + 1377\/210 and -41\/38?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 19. Calculate the least common multiple of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 357217 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfz when three letters picked without replacement from zzbzfxx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 316 and 149432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58958812?\nAnswer: 2, 11, 1339973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3893 (base 11) to base 7\nAnswer: -20522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 4*n - 5. Let m be 582\/21 + 8\/28. Suppose 0*o - m = -4*o. Calculate the least common multiple of o and w(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 101.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/250)\/((3\/(-1) + 1)\/8)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -143, -4 in decreasing order.\nAnswer: -4, -11, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (536\/(-14)*868\/3720)\/(10\/(-150))?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g + 193. Let w be j(26). Let l = 373\/5 + -75. Is w bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -0.9195?\nAnswer: -0.9195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50506115657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-700)\/(28\/(-4)))\/(1420\/568).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(2\/25)*m)\/m*m)**(3\/4))**(-2\/77) assuming m is positive.\nAnswer: m**(-72\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-248)\/(-60) + (-4)\/30. Let p(f) = -f**3 + 2*f**2 + 4*f + 1. Determine p(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s**2 - 128*s + 4 - 3 - 3 - 17*s**2 + 124*s to d + t*s + i*s**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caxcaxca. What is prob of sequence xc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 8. Suppose 2*j + 10 = b*j. Suppose 0 = -q - j*q + 81. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 401 - 79 = 0. What are the prime factors of f?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 34, 60, 88, 118, 150, 184?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h. Let x(r) = 74*r. Let z(v) = 5536*v. Let n(s) = -224*x(s) + 3*z(s). What is n(c(a))?\nAnswer: 160*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-72)*2*-7)\/(3\/(-6))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 10*c**2 - 8. Let r be f(10). What is the least common multiple of 5 and (40\/12)\/(r\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25\/4 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*p**3 - 2159*p**2 - 2426*p + 3856.\nAnswer: (p - 241)*(p + 2)*(9*p - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00275 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*y - 71*y + 104 = 0. What is the remainder when 38 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8304 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 >= 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.661163 rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 6*t**2 - 11*t + 18. Let h be f(7). Let p(a) = a**2 - 2*a - 25. List the prime factors of p(h).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034450345 to the power of 1\/3, to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72312\/5 - 14173907\/980. Let i = -1\/49 - w. Let v = -2\/63 + -311\/126. What is the nearest to 0 in v, -2\/7, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01163530548 rounded to six dps?\nAnswer: 0.011635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (2 + 0))*-1. Let f be 16\/9 + (-4)\/(-18). Let u be 1\/f*2 - -2. Put m, u, -4 in descending order.\nAnswer: u, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Let u be -1 + (s - 2) - 5. Is u bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 82*j**3 + 0 - 83*j**3 + 3*j**2 + 2*j**2 - 5 + 4*j + 1. What is g(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.456 minus -0.1473?\nAnswer: -11.3087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/957 or -1?\nAnswer: -1\/957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12793485119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -41375*z - 1613620. Calculate w(-39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**3 + 4*o**2 - 3*o. Let j(s) = -11*s**3 + 9*s**2 - 7*s. Determine 4*j(t) - 9*u(t).\nAnswer: t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 197918 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - j + 35. Let q = 20 - 18. Suppose 0 = f - 3*u, -f = q*u - 0*u. List the prime factors of x(f).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 divided by -404\nAnswer: -23\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38422 + -70574. Let d = 9952 + o. Round d to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45921141.6636 + 0.1\nAnswer: -45921141.5636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*d - 0*v + 2*v, 2*d + 3*v = 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 184, 2\/19, 66?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49461202 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41764687 to 3 dps.\nAnswer: -0.418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/15 - (-222)\/720*-2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -23*o**3 - 2*o**2 - 49*o - 108. Determine p(-2).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o. Suppose 0 = -5*j + v + 37, -2*j + 38 = 2*j + 2*v. Suppose -3*z - x = -12, 4*x - 16 = -4*z + j. Let n(a) = 0*a + 2*a + z*a. Determine n(w(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/14*(-52)\/(-3). Suppose -6*q = -l - 184. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103656671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 9:16 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = -3. Let a = -488039\/32 + 15250. Find the common denominator of 2*d - 123\/(-60) and a.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 10:04 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuxu when four letters picked without replacement from {x: 9, u: 3, y: 4}.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46*w**4 - 4421 wrt w.\nAnswer: 184*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487 + 511 = -12*m. Put -20, -5, m, 3 in increasing order.\nAnswer: -20, -5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10905072 is divided by 605836.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1851 = -7*j - 549. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45589*s + 45588*s + 99 = -4*b, -s + 2*b = -49 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30968*z**3 - 2*z**2 + 167101*z?\nAnswer: 185808*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 70, 418, 1162, 2434, 4366?\n\"Answer: 22*j**3 + 66*j**2 - 4*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010041052 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.9, -210, -0.3, -3?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.78. Let p = x + 9.08. Let b = p + -8.99872. What is b rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -246*c - 995. Give u(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 519\/12 - 3\/((-12)\/(-1)). What is the common denominator of u\/(-112) - 8\/(-14) and ((-18)\/(-76))\/(6*10\/(-140))?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16280\/(-1295) - 24\/(-2). Let o = 67222 + -471749\/7. Let v = -171 - o. Which is the nearest to v? (a) -2\/9 (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**17*v**18 assuming v is positive.\nAnswer: v**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {q: 1, c: 3, s: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 426541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.04 + 15.04. Let q = i + -43. Sort q, 0.2, 2\/11.\nAnswer: q, 2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67626 and 336141?\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 673024.1 years?\nAnswer: 67302.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -242604 - 5?\nAnswer: -242611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10381484 - 32738127 = -157*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 2. Let o be n(0). What is the tens digit of (o\/(-1))\/(6\/138)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 43. Solve n - q + 15 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*y + 45, -o - y = o - 65. Suppose 3*w - o = 6. Let n = 34 - w. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:06 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 121037099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 5. Let h(z) = -z**3 + 4*z**2 - 2*z. Suppose 0 = 3*r - 13 + 4. Let j be h(r). Let n(y) = 4*y - 6. Let u be n(j). What is a(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**5 - 4*m**3 + 4*m**2 - 4*m. Let p(l) = 126 - 9*l**3 - 126 + 17*l**5 - 9*l + 9*l**2 + l**4. Let u(s) = 9*n(s) - 4*p(s). Factor u(h).\nAnswer: 4*h**4*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1777179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**6\/10 + 87*d**5\/4 + 36*d**4 + 4*d - 61. Determine t, given that z(t) = 0.\nAnswer: -144, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**4\/12 - 11*d**3\/6 - 8*d**2. Let k be s(-5). What is the third biggest value in 3, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2. Let l = 10 - -174. Suppose l = 2*g - 6*g. Let r be 4\/(-14) - g\/14. Give u(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18876573, 18876548, 18876523?\n\"Answer: -25*d + 18876598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x + 13. Calculate h(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(15)*5 + sqrt(15)*1*2)\/(((sqrt(189) - -3*sqrt(189))\/sqrt(9))\/sqrt(7))*4.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67653234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10191657 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9b8513 - -1?\nAnswer: -9b8512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r**2 + 1. Let b(y) = -114*y. What is d(b(g))?\nAnswer: -181944*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.873 and 16.652808.\nAnswer: 17.525808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 119450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*d = 7*d - 35, 0 = -3*k - 4*d - 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19440 by 6480.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2681022 + 4*f + f + 2681029. Let r(z) = 14*z + 20. Let a be 1 - 2 - (-15 - 2). Let u = a + -22. Determine u*r(h) + 17*w(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/200*10\/(-4)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 471974, 471856, 471738, 471620?\nAnswer: 471502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7878?\nAnswer: 2, 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -134 + 138. Suppose 0 = 4*p - 2*k - 125 - 95, m*k = -2*p + 120. What is the remainder when p is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15008649 smaller than 15008649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t - 5. Suppose -5*k = -0*k + 20. Let q be p(k). Let s(w) = 18*w + 7. What is the units digit of s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1319 - -0.0681. Which is the closest to -0.1? (a) m (b) -4 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 4, m: 3}. Give prob of picking 2 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -5 (c) 311 (d) -3 (e) 2 (f) 0 (g) -131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 + 109. Let f be 10\/z + (-5)\/15. What is the units digit of 1208\/16*(-4)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -585 + 4*f**2 + 569 - 5*f**2 + 4*f**2 in the form d*f + a + y*f**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 58 = -v + 31 - 29, -v = -y - 28 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + l - 1. Let f(r) = -2*r**3 - 9*r**2 - 7*r - 10. Let q be f(-4). Let d(o) = 10*o**2 + 1. Let j(h) = q*i(h) + d(h). Calculate j(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 13*a - 13 = -4*b + 21*a, 0 = b + 24*a - 122 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 4*g**2 - 3*g - 3. Let t be x(4). Let y be 12\/t - (-1429)\/5. Suppose -5*w - y = -2*c, -4*c + w + 289 = -2*c. List the prime factors of c.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/(k*k**(-2\/5)*k))\/(k**(2\/11))**(-50) assuming k is positive.\nAnswer: k**(742\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1284)\/1070)\/((-8)\/5)*36.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -7553 - 21532. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14817, -4\/5, 6, 0.4, 1 in increasing order.\nAnswer: -14817, -4\/5, 0.4, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4 - -5) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 - 31*s**2 - 35*s - 39. Give z(-9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 4. Let j be ((-2)\/m)\/(21\/(-98)). Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**3 - 5*q**2 - 2*q - 2. Let j be n(8). Suppose -r = -3*r + j. What is the greatest common factor of 22 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (84 - 3) + 1 + -3. Suppose 5*n + g = 4*d, -d + 26 + 27 = -3*n. Let v = n + 25. Solve t = v - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 954 + -384. Let g(i) = 3*i**3 + 9*i**2 + 8*i - 20. Let t be g(-6). Let b = t + s. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -j - 3*p + 2, 711*j - 2*p - 11 = 708*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -456*o**5 + 9*o**3 - 70*o**2 - o - 8.\nAnswer: -27360*o**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + 6*d + 3. Give l(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 520, 1446, 2790, 4570, 6804?\n\"Answer: 3*t**3 + 191*t**2 + 332*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from oucuhouuxuuuui?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iopiyyppii. Give prob of sequence yiii.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 231753053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 121\/(-66) + (-1)\/3. Let j = n - 1\/12. Sort -4, -2\/11, j.\nAnswer: -4, j, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88.01308 - 88. What is j rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*f*s**2*z**2 + 10*f*s**2 + 11*s**2*z**2 - 8*s**2 wrt z?\nAnswer: 24*f*s**2*z + 22*s**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15063 - -4805127\/319. Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from hfnfqhnqhfnffhgh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llw when three letters picked without replacement from {w: 3, k: 3, q: 3, l: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2. Let a(m) be the first derivative of m**2\/2 - 6*m - 2. Let o(x) = x**2 + 3*x - 3. Let j be o(-5). Calculate j*n(p) + 2*a(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w + 3. Let d(u) = -4*u - 5. Let i(r) = 5*d(r) + 8*k(r). Let a(h) = 11*h - 2. Let j(p) = 3*a(p) - 8*i(p). Calculate j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183226 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 498.\nAnswer: -498.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 44570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17617 - -1.4715706.\nAnswer: -17615.5284294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4437 and 306.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 47 = 5*g - 4*t, 0 = -4*g - 4*t + 16. Suppose -f + b = -5, -g = -0*f - 2*f + 3*b. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0*f**3 + 0*f - 75\/8*f**4 - 5*f**2 - 2. Let g(p) = 3*p. What is g(a(h))?\nAnswer: -675*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmntnnzntwnnzzttannn. Give prob of sequence tm.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2\/9 + 2518836*j - 7137601644258 = 0. Calculate j.\nAnswer: 5667381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(1\/22)*t))\/(t*((t*t\/(t**5\/t)*t*t)\/t)\/t))\/(t**(-3)*t*t**6))**(-13\/2) assuming t is positive.\nAnswer: t**(871\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (4 + -22 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -85. Suppose c + 3*c = v. Let o(n) = n - 8. Let d be o(c). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = -18. Suppose 5*i + 5 = -5*j, 0 = -116*i + 112*i - 12. What is the remainder when f is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 2)*(-w**2 - w**2 + w**2) + 469*w**2 + 947*w**2 - 95*w + 94*w + 3*w - w**2 + 3*w**2 - w to m + c*w**2 + o*w and give c.\nAnswer: 1420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*h)*(-4*h**2 - 2*h**2 + 4*h**2) + 7*h**3 - 101*h + 101*h + (0*h**3 + 3*h**3 - h**3)*(-2 - 4 + 3).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2116900.414 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37483)\/(-4185) - (574 - 565)) + 2\/54.\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 10:05 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 146, 162, 194, 248, 330, 446, 602?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 24*y - 87, 812481*y + 5*p = 812480*y + 19 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -26 + 24 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u - 4. Let m be r(-3). Suppose -m*y = -57 - 98. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjv when three letters picked without replacement from {v: 3, j: 6, h: 4, a: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21169 and 0.2.\nAnswer: 21169.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/27)\/h)\/h)\/h*(h\/(h\/h**5))\/h assuming h is positive.\nAnswer: h**(25\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 22. List the prime factors of b\/(-6)*(-492)\/(-15).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.056 - -13.556. Let q = -13 + v. Which is the closest to 0.3? (a) 4\/7 (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -162 + 165. Let q = -19.983 - 0.017. Sort q, 0.3, -0.5, h.\nAnswer: q, -0.5, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**5\/20 + 3*b**4\/4 - 13*b**3\/6 - 5*b**2\/2 - 9*b + 2. What is y(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 466 = 365. Is 61 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 5*j**2 + 2*j - 5. Let u be p(5). Suppose 2*b = f, -u*f + 2*f + 2*b = 0. Solve 0 = 2*s + 10 - f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 8*a + 347594 = 0. Let n = -8108 - a. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iittiiootoiiioiitii. Give prob of picking 3 i.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 = 2*p + 4, 5*p - 50 = -5*v. Let f = 34 + -14. Solve -p*h + 10*h - 16 = j, -5*h = -5*j - f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.095 and 0.01?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*-1*sqrt(112)*1 + -1 + (sqrt(7) + ((0 + sqrt(7))**2 - sqrt(7))*-5 - sqrt(7)) + -5).\nAnswer: -123 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/3 + (-1)\/(-3))\/(-1). Let x(d) = 4*d + 2. Let r be x(s). What is the highest common divisor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 695 = -5*k, 4*q + 364 = -5*k + 965. Let s be q\/36 - (3 + 1\/(-1)). Suppose 0 = -o - s, 4*x - 2*x + 3*o - 422 = 0. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + (-78 - -71).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 46*u**2 + 210*u - 1. What is i(41)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 2:43 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/51879322 and -1\/7.\nAnswer: 363155254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/230 - -9\/46. Sort 55, -1, g, -2.\nAnswer: -2, -1, g, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 1, -12, -21, -20?\n\"Answer: q**3 - 7*q**2 + 3*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 181 - 16*w**3 + 30*w + 15*w**3 - 10*w - 41*w**2 + 2*w**3. Is 77 a factor of d(41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/(-32)*((-4)\/60*-1)\/((-63)\/(-2310)).\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.67 + 10. Let d = q + 15.67. Let c = d + -15.999764. What is c rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 - 4509*b**2\/2 - 1126692*b - 187171314.\nAnswer: -3*(b + 451)*(b + 526)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.4 (c) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 29107450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -x - 488, 2*x + 4*y = -3*x - 2443. Let c = x - -764. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*o - 42. What is the remainder when o is divided by ((-18)\/27)\/(4\/(-78))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-15)*56*30\/504.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/9)\/(2\/(-3)). Suppose -5*z + q*a + 24 = 2*a, -18 = -3*z + 3*a. Suppose -4*t = 4, 21 = z*n - 5*t + 2*t. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1092)\/(-63))\/26)\/((16\/12)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7592 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33589830 rounded to the nearest 100000?\nAnswer: -33600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s - 21*s + 45*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 189 - 19. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - -1)\/2 + 1. Let p(r) be the third derivative of 0 - a*r**2 + 1\/36*r**4 + 1\/36*r**5 + 0*r**3 + 0*r. Find b such that p(b) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9 + 7 - 3*s**2.\nAnswer: -3*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in decades?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23403 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-143)\/988 - 2\/(-8)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 1128?\nAnswer: 7\/1128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - 19\/(-114). What is the closest to -1 in -3\/5, -5, n?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -63*c**3\/2 - c - 16. Let f(w) = -w**2. What is n(f(v))?\nAnswer: 189*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*k - 23 - 0, 0 = 2*p - 2*k + 6. Suppose 0 = -v - 0 + 2. Solve -p*q - g + 7 = 0, -1 = -2*q + v*g - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from gcmhx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2660 - 7172 = -564*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14710 - -14709.9. Sort c, 2\/437, 1, -2\/15 in decreasing order.\nAnswer: 1, 2\/437, c, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**11\/997920 + t**10\/453600 - t**5\/60 + 3*t**2. Let b(r) be the third derivative of s(r). Let b(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32620 and 1820.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104 + -83 - (-3 - 10).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/23 or 1330?\nAnswer: 1330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**11*(h**(-12)\/h)\/h)\/(h**2)**23 assuming h is positive.\nAnswer: h**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 13\/6*c**3 + 3\/20*c**5 - 4*c**2 + 1\/120*c**6 + 0*c + 0 - 3\/8*c**4. Let h be b(-10). Solve h*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000353894 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254 - -247. Let c(n) be the first derivative of -n**2\/2 - n + 1. Calculate c(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**0\/f))**(1\/15)*(f*f\/(f**(1\/3)*f*f))\/(f\/(f*f\/((f**5\/f)\/f*f)*f)) assuming f is positive.\nAnswer: f**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 605 and 10285?\nAnswer: 10285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -514 + 458.668. Round o to one decimal place.\nAnswer: -55.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1088)*-1 - sqrt(1088)) - (sqrt(1088) + 2 + -3))**2.\nAnswer: -96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmm. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, m: 5, r: 7}. What is prob of sequence mrv?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 3*o**2 - 1. Let n be (3\/(-9) - (-1362)\/9) + 3. Let j = n + -151. Calculate h(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.9 + 28. Which is the nearest to m? (a) 1\/3 (b) 0.2 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2656092 is divided by 9287?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (102\/255)\/((-4)\/30). Sort 5, g, -8, 0.\nAnswer: -8, g, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100429442 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-28)\/(-926)) - (-67)\/(-469). Suppose -67*f = -v*f - 180. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 26. Determine s(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112 + 1140*s + 2552*s + 112 to m*s + q and give m.\nAnswer: 3692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 - -145 - -303 - 198.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + -4*(-2 + sqrt(180) - sqrt(180)) + sqrt(180))*4 - (-2 + -1*sqrt(180))*6)**2.\nAnswer: 7392*sqrt(5) + 37216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vdddvdddddd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.669462km in millimeters?\nAnswer: 1669462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*c - 44 = 3*c, -2*d + 100 = -2*c. 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: Four letters picked without replacement from {w: 1, p: 7, y: 5, s: 3, z: 2}. Give prob of sequence wpwy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -3*r**2\/2 + 2. Let l(c) = 2757 - c - 2775 - 2*c - c. Let g(v) = -2*v - 8. Let p(s) = -9*g(s) + 4*l(s). What is p(k(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.67924 and 1.3.\nAnswer: -4.783012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 305031460 and 4?\nAnswer: 305031456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 1032\/(-14))\/(2*(-10)\/(-140)). Which is greater: k or 506?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-72)*176\/4.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**5 + 2*w**4 - 14430*w**3 + 28250*w**2 - w + 10?\nAnswer: 360*w**2 + 48*w - 86580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16458458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20311 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 + 48*p**3 + 4*p**2 + 115 + 3*p**3 - 25.\nAnswer: 51*p**3 + 17*p**2 + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 10*t**2 - 4*t**2 - 3*t**2 + 2*t**2 + 7*t**3 - 15*t + 18*t**3 - 5*t**4 - 10*t**5 = 0.\nAnswer: -3\/2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4982402, 4982413, 4982424, 4982435?\nAnswer: 4982446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*u + 26 = 3*o, -2*o = -u - 47. Calculate the greatest common factor of o and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*d**2*o - 3*d**2 - 2*d*o - 2067*d + 35*o + 14399 with respect to d.\nAnswer: 36*d*o - 6*d - 2*o - 2067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 4434?\nAnswer: 31038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 + 3*f**2 + 11*f + 3. Let u(c) = 5*c**3 + 4*c**2 + 11*c + 4. Determine -4*l(o) + 3*u(o).\nAnswer: -o**3 - 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2913069 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 13 + 1 = 3*p, -22 = -3*l + 2*p. Suppose 4*m - 11 = 21. Let b be l\/m + (-5)\/(-20). What is the second smallest value in b, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m - 4*w - 56, -3*m = -3*w + 57. Let i = 53 + m. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l + 356. Give f(45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -454 + 86 + 439 + 0 + 0 + -4?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 + 2*t - 114. Determine o(-14).\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6\/83 (b) 2\/3 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-1 - (-15 - 16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lyyyyyyylylyyyyyyy?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 47 - 4\/7*b**4 + 4\/21*b**3 + 1\/5*b**5 + 0*b**2 + 0*b. Factor z(s).\nAnswer: s**2*(s - 2)*(7*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -150476 to the nearest one thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (232\/(-7))\/(302\/(-3171)). Solve 0 = 20*u + 348 - r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2137 (base 11) to base 2.\nAnswer: 101100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1239 by -24.\nAnswer: -413\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8226)\/(-45) + 3*1. Let w = g - 185. Which is the biggest value? (a) -2\/5 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 o, and 1 z when four letters picked without replacement from {z: 7, o: 1, j: 2, i: 2, f: 4}.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.584 - -1263.\nAnswer: 1261.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/3)\/((-317)\/(-951)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3136c93 + 4?\nAnswer: -3136c8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 114*s + 5. Let x(k) = 2*k**2. Calculate q(x(f)).\nAnswer: 228*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d**3 - 3*d**2 - 2*d - 3. Let o be z(-2). Let h = o + -43. Calculate the highest common divisor of 12 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.13 and 3?\nAnswer: 3.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-28)\/(-12) + 17\/3. Sort 1.4, g, -2 in increasing order.\nAnswer: -2, 1.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188843.211 rounded to the nearest 1000?\nAnswer: 189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1645, 47, 3, 1, -4 in descending order.\nAnswer: 47, 3, 1, -4, -1645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c + 75 = 370 + 2 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/9)\/(14\/42). Which is the closest to k? (a) -2\/21 (b) -5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 92485365 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 + 10*i + 19. Let b be p(-2). Let h(k) = k**3 + 13*k**2 + k - 5. What is h(b)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -417\/620 + 10\/31. What is the common denominator of (-7 - 440\/(-108))*(-6)\/(-4) and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from pppppppppapappppppp.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Let v = 2 - l. Which is the closest to v? (a) 0.1 (b) 2\/11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4279 and 66?\nAnswer: 25674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, t: 3, j: 1}. Give prob of picking 1 i and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*m**3 + 5*m**4 - 14*m**3)*(2*m + m + 0*m) + m**5 + m**5 - 4*m**5.\nAnswer: 13*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in 15\/8, 5\/19, 0.1?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 608523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 73*b**4\/24 + b**3\/3 + 3*b**2 + 165*b. Let t(i) = 13*i. Determine t(u(f)).\nAnswer: 949*f + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 30, 62, 104, 156, 218, 290?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*(t\/(t*t*t*t**0*t)*t*t)\/t*t*t*t**(-8)\/t*t**(2\/11)*t*t\/(t**(-2\/5)*t) assuming t is positive.\nAnswer: t**(-298\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*b + 5920 + 2050 = -3236 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + f = -1, -2*f = 4*g - 24 + 22. Let v(i) = 24*i + 2. Determine v(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1979455 is divided by 141384?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45827566 to the nearest integer?\nAnswer: 6770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*w**2 - 13*w**5 + 140*w**2 - 19*w**5 - 52*w**2 wrt w?\nAnswer: -1920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4424, 4398, 4354, 4292, 4212, 4114, 3998?\nAnswer: 3864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6135, -15.\nAnswer: -15, 3, 6135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/31 or 5635\/3?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**6\/120 - k**5\/30 - k**4\/6 + 3*k**2. What is the tens digit of l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(245) + (-1 + sqrt(245) + sqrt(245))**2*4 + 2*sqrt(245)*-1 + (2*sqrt(245) + -2)**2*-3)*4.\nAnswer: 784*sqrt(5) + 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -15147?\nAnswer: 15155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 s, and 1 v when four letters picked without replacement from {t: 4, s: 3, v: 6}?\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*x - 13*x - 420. Is 104 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - 3.2. Let l = -0.03 - -6.03. Let t = -4 + l. What is the biggest value in t, 3\/2, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-4))\/((-5)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -3*l + 3, g - 4*g = 5*l - 29 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3680748 rounded to the nearest ten thousand?\nAnswer: 3680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 11*b**2 - 6. Let x be v(2). Let w = x - -59. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(4\/(-3))\/(-1). Suppose -168 = 4*m - a, -c*m + 4*a - 86 = 70. What is m rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -161\/721223 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*-3*4\/(-18). Let i(b) = b**2 - 3*b - 4. Let c be i(u). Is c bigger than -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 2\/19 (b) -2\/25 (c) 0.035\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 50*p**2 - p - 1. Is 11 a factor of s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 5*z + 14. Let x be b(7). Sort x, -3, 2 in ascending order.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14024 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/((-32)\/448)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(2 + 6) - 9\/(-2). Let a be 232\/10 + w\/(-25). Suppose 8 = 2*r + 2*v, -2*v + 0*v + a = 5*r. Solve 0 = 4*f - 3*f + r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053524*f**3 + 41*f**2 - 2106382*f**3 - 41*f**2 + 1052857*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 2787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/47 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13917*u. Let q(a) = 18*a. Determine k(q(o)).\nAnswer: -250506*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (10\/(-1))\/5 - 13*-2 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 240?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101434*l + 16901*l + 16908*l + 16908*l + 16905*l + 16903*l + 16908*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-3)*-1*3. Let c = -31296\/55 + 6356\/11. Is v > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 42 - 257. Let q = -41 - t. Let i = 0 + 0. Solve -2*l - 5*n = 7, -3*n + i = q*l + 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115575 is divided by 5756.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 4)*(-33)\/(-6). Suppose -3*s = 15, -h + 50 = r - 3*s. Let f(m) = m**2 - 6*m - 9. What is the remainder when r is divided by f(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 11*p**2 + 12*p - 3. Let x be t(-12). Let w = 12.14 + -12. Let f = w - -0.06. Which is the nearest to f? (a) x (b) -1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from {c: 9, p: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1489, -1478, -1455, -1414, -1349, -1254?\n\"Answer: b**3 + 4*b - 1494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520368 to the power of 1\/2, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -22*z**2 + 2*z - 6. Let i(m) = 21*m**2 - 2*m + 7. Let u(v) = -5*i(v) - 6*k(v). Suppose 0 = 5*w + 19*q + 166, 8*q - 6*q + 13 = -5*w. Determine u(w).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -160*o + 4324. Let q(k) = -34*k + 865. Give 14*q(x) - 3*r(x).\nAnswer: 4*x - 862","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1270 - 1263. Solve 4*n - 21 = 3*w, 2*n + 21 = -2*w + x*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 323*s - 320*s + 3 = 0, -5*h + 2*s = -2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*c - 32 = 60*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/29 (b) -12 (c) 0.9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*j**3 - 9*j**2 - 15*j**3 - 27 - 158*j**2.\nAnswer: -74*j**3 - 167*j**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 305 = 4*y, -2*j - 150 = 2*y - 0*j. Let r = y + 80. Solve r*g - g - 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6913 - -7039. Suppose -28 = -4*z + 2*a, -22 = -3*z - 5*a - 1. What is the highest common factor of z and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-60)\/(-72) + (2 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(2)*1) + (sqrt(168)*2)\/sqrt(3))\/(sqrt(968)*2*2).\nAnswer: 3*sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1482\/57 + 40 - (4 - -14).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 171*k - 910. Calculate q(-5).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**8\/2240 - 61*f**7\/5040 + 7*f**6\/360 - 3*f**5\/20 + 58*f**2. Let b(a) be the third derivative of l(a). Factor b(g).\nAnswer: -(g + 7)*(9*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 31. Suppose -4*v - 3*o = s, -3*v - o = -0*v + 5. Sort 4, v, 1.\nAnswer: v, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 7:52 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 364560975 and 5.\nAnswer: 364560975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2 - 3 + b**2 - 1 + 3*b - 1. What is the units digit of c(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r**2 - 3*r + 2. What is d(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 2*k + 52 + 63*k**3.\nAnswer: 63*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 29 = 3*r - j, 0 = -4*j + 20. Let w be 1\/(2 - r\/2). Suppose -4*p - 36 = -w*h, -2*p + 5*p = -3. What is the highest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -137*n + 2193. Give v(12).\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0 - 25) + (4 + -1 - -3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 17*d**2 - 3*d + 1. Suppose -3*u = n - 11, -n - 2 = 2*u - 10. Is z(n) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 188 - 91)*(7*v - 2*v - 3*v).\nAnswer: 76*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5701 + 3629. Is 12 a factor of (-48)\/(-56)*b\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-15)\/14*(-308)\/(-385)*(-2)\/6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 89*r - 237. Calculate the remainder when 89 is divided by x(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20012\/79 or -253?\nAnswer: -20012\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -53*h - 907. Let q be s(-20). Calculate the greatest common factor of 85 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 3\/560*o**7 + 0 + 0*o + 49\/8*o**3 - 273\/64*o**4 - 28*o**2 - 47\/320*o**6 + 219\/160*o**5. Suppose d(i) = 0. Calculate i.\nAnswer: 2\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81321 (base 15) in base 2?\nAnswer: 1100011110111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.799999799 - 0.8. What is f rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**3 + 3*s**3 + 2*s**3)*(4554 - 366 - 6471 + 14303).\nAnswer: -12020*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/180 + f**2. What is a in q(a) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -388, -596, -822, -1072?\nAnswer: -1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9988 + 9998. Let m(w) = -2*w**3 + 20*w**2 + w + 10. Give m(a).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m. Let o(j) = 3263*j. Give o(r(x)).\nAnswer: -3263*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z = 4*n - 44, z + 10 = 2*n. Let y(p) = -p**3 + 10*p**2 - 20*p - 2. Let m be y(n). Suppose -2*c + 2*c = m*c. Solve c = -w - 1 - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Suppose a = -7*a + 336. Let i(w) be the first derivative of a - 4*w**2 + 429*w - 429*w. Determine j(i(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -583, -1285, -2107, -3043, -4087, -5233, -6475, -7807?\nAnswer: -9223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22574376 and 1980.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3735.651l to millilitres.\nAnswer: 3735651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41.89 - -24.89. Which is the nearest to 2\/5? (a) s (b) -198 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015 is divided by 85.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 11*z + 5. Let s be r(5). Solve 2*v + q + 4*q = s, 4*q - 7 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25379*n**3 + 25387*n**3 + 25393*n**3 - 76160*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 195 - 63 = 0. Let k be 2\/9 + f\/18. Solve k*q + 16 - 1 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 2. Let u(q) = q**3 - 2*q**2 + q + 2. Calculate 4*f(i) + 3*u(i).\nAnswer: -i**3 - 6*i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1\/274 (c) 4 (d) 1\/180 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + 4*(sqrt(13) + -2) - ((sqrt(13) - sqrt(52)\/sqrt(4)) + 2 + (sqrt(1300) - (sqrt(1300) + sqrt(1300)*-2))**2)).\nAnswer: -16*sqrt(13) + 20848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21698759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301391843?\nAnswer: 301391843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 1 - (-104 + 93) - -13.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -528333.1 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -5*y. Suppose -24*c + 28*c = y. Solve -4 + c = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.393597077 to 3 decimal places.\nAnswer: -0.394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 341669 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10593 (base 12) to base 4\nAnswer: 11100333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 89 = 109. Suppose b*q - 532 = -5*q. Suppose -2*k - 4*s + 112 = 0, 0 = -2*k + s + 34 + 78. Calculate the greatest common factor of q and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Let a(l) = l**3 + 3*l**2 - 5*l - 2. Let f be a(-4). Let c(j) = -2*j**h - 3 + 0 + j**f + 2*j. What is c(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 11:54 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*k - k = -8, 4*k + 12 = 2*y. Suppose -y*v + 3*v = 0. Factor v - 1\/3*o - 2*o**3 - 1\/3*o**5 + 4\/3*o**4 + 4\/3*o**2.\nAnswer: -o*(o - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*5509407\nAnswer: -1101881.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3316762606 to the power of 1\/2, to the nearest integer?\nAnswer: 57591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.074396 years in centuries?\nAnswer: 0.02074396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 526824 and 18.\nAnswer: 526824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 245*q**4 - 20 - 246*q**4 - 21*q**3 - 37 + 8 wrt q?\nAnswer: -4*q**3 - 63*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l = -5*t + 4, 6 = -2*l. Let a(z) = 5*z**2 + 2 + 0*z**2 - 1. Let v(n) = -14*n**2 - 2. Let c(g) = 8*a(g) + 3*v(g). Give c(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - (26 - 32)) + 20 + 1 + (-1 - -52).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n - 182 - 2. Let f = n + 57. Suppose f = 10*m + 4. Solve -4*z = -m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -4, 1811, 7, -8.\nAnswer: -8, -4, 3, 4, 7, 1811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = l + 35. Let r = 9 - l. Let h(p) = 5*p - 3. What is the units digit of h(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**4\/6 + 7*z**3\/6 + 183*z**2\/2 - 114*z - 36. Let l(k) be the first derivative of d(k). What is the derivative of l(a) wrt a?\nAnswer: 4*a + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -j - 4*c, 5*j + 4*c - 7 = -0. Suppose -j*s = -2*r + 14, -11 + 1 = -3*r - s. Let u be 110\/r*(-2 + 802). Round u to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - -2 - (51 + (53 - 130))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -6. Let l = -6 + s. Let u be 1336\/l + -2 + 4. Round u to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0 - 1\/24*u**4 + 16*u**2 + 0*u + 1\/6*u**3. Let a(i) = 9*i - 5. Determine a(c) + 5*s(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 - -100.43. What is s rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*(sqrt(78) - (sqrt(78) - -2*sqrt(78))))\/(sqrt(216)*-1 - sqrt(216)))**2.\nAnswer: sqrt(13) + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -10 + 49 - -1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.633 times -1911\nAnswer: -1209.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g. Let p(k) = 2466526*k**2. Determine p(t(u)).\nAnswer: 61663150*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:45 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74613.12ug to tonnes.\nAnswer: 0.00000007461312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50 - -19cf?\nAnswer: 1a1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**2 + 2923*m + 404556. Determine w(-225).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/(-6)*9\/(-6). Let v(q) = -10*q**2 - 3*q**3 + f*q**3 + 8 - 8*q**3. What is the remainder when 31 is divided by v(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0144*-13.7777.\nAnswer: -0.19839888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123082010 to the power of 1\/2, to the nearest integer?\nAnswer: 46077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*y + 38 - 62 = 0 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-8)*300\/(-45)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/704 and 35\/176.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 3*n. Let w(k) = -8*k**2 + 10*k**n - 3*k + 3*k. Let r(o) = 12*o. Give w(r(d)).\nAnswer: 288*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18677?\nAnswer: 19, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 1)\/(-1) - -21. Let -l*j + 120*j**4 + 163*j**3 - 41*j**3 + 25*j**5 + 53*j**3 + 60*j**2 = 0. What is j?\nAnswer: -2, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 42\/5 of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 739a07 (base 14) in base 5?\nAnswer: 2000003204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2+-5942.95\nAnswer: -5940.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235884.\nAnswer: 2, 3, 11, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 920.99258 - 921. What is k rounded to four decimal places?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.84 - 261.84. Let t = g + 255. What is the closest to 1 in t, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86220737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/5, -8, 0.02, 9, -2 in decreasing order.\nAnswer: 9, 0.02, -2, -11\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + d + 597 = 0, -5*m + 5*d = -0*d - 510. What is the remainder when 324 is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/9*255\/5. Suppose -5*u + 58 + x = 0. Solve 4*q + u = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-19) - 10\/(-95). Suppose f = 2*w - w. Suppose w = z - 6*z + 330. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -23*r - 346, r - 7*x - 10*x - 27 = 3*r - 20*x for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -318 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 67*a + 7*a**2 - 40*a + 2 + a**2 - 34*a. Let r = 1792 - 1793. Let w(i) = -i**2 + i. Give r*d(m) - 5*w(m).\nAnswer: -3*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -58770 (base 13) in base 3?\nAnswer: -22012202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 15, g: 4}. Give prob of sequence ggo.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/12)\/((-3)\/9). List the prime factors of v\/(0 + (-5)\/(-530)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*j**3 - 2*j**4 - 2 + j**2 + 3*j**2 - 2*j**4 to the form a + k*j**3 + i*j**2 + m*j + d*j**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-6))\/(3\/28). Let y = -6 + z. Suppose 5*a - y - 77 = 0. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - j = 4*w + 29, 5*j = -20. Let i = w - -2. Suppose 3*m = 0, -5*f + f + 4 = -2*m. Solve -4*d - f = i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 186814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 20 = 2*u. Let s(d) = -d + 3. Let a(m) = 3*m - 11. Let z(b) = 2*a(b) + 9*s(b). Is z(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-80)*8*105\/(-14).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o = -12. Find the third derivative of -2*z**2 + 7*z**6 - 48*z - 6*z**o + 7*z**2 - 7*z**2 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 357 = -0*g + g, 2*b - 4*g + 352 = 0. Calculate the remainder when 1\/(532\/b - -3) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/8 - 32897*o**2\/4 - 2498689*o\/8 + 641121\/2 = 0 for o.\nAnswer: -65756, -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 306470 (base 9) in base 7?\nAnswer: 1355226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = 0, 3*c - 29 = -0*c - 2*x. Suppose -3*a - c = 0, 2*y - 2*a + 22 + 36 = 0. Let z = -30 - y. Calculate the lowest common multiple of 68 and z.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16486 - 4?\nAnswer: -1648a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 940 and 2820?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3279 - 3273. Is 173 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = p + 8*v - 47, 3*p - 226 = 2*v. Suppose p + 18 = 6*k. What is the smallest common multiple of k and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5049, 5044, 5037, 5028, 5017, 5004?\nAnswer: 4989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8479486 to the power of 1\/2, to the nearest integer?\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 11, 1, -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (26 + -28 + (-1 - -4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19\/9, -1 in decreasing order.\nAnswer: 4, -1, -19\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4624 - 4684 + 13931 + 33*h - 4623 - 25*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 84 = -7*p. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 12*s**2 + 126*s + 162. Calculate x(-8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h + 2*s + 78 = 0, 0 = -s - 4. Let d = h + 23. Differentiate 10 - 8 + d + 20*x wrt x.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -5\/9 (c) 4\/9 (d) 351\/7 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877223 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 2, q: 1, w: 1}. What is prob of sequence vq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 5, -100424, 7 in decreasing order.\nAnswer: 7, 5, 0.01, -100424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 70\/(-1 + -1). Let x be (-2)\/(-9) - (-16)\/g. Is x at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*r + 28547, -34*j + 29*j = 4*r - 28519. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssmssmcmscmcmscsmmms. What is prob of sequence mcs?\nAnswer: 32\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 9 - 8 - 3*q + 17 to the form i*q + y and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17303 (base 12) to base 10.\nAnswer: 33267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 14*g**2 + 3*g - 3. Let j be m(-14). Let q be ((-3)\/9)\/(5\/j). Is q*((-1880)\/15)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.3657155 and 1?\nAnswer: 2.3657155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 10 - 5. Differentiate 65*n**3 - j - 65*n**3 + 5*n**4 with respect to n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 453428 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 99573196 <= 99573187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-3)*-1 - -64. Suppose 4*l - 626 = z. Suppose b + 3*b = l. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2228 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.5 + -1.5. Let o = 22.2 + -19.2. Which is the third biggest value? (a) m (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 22000220122?\nAnswer: -22000220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 2103887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -1.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - a = -73, 7*q - 341 = 2*q + 3*a. What is the common denominator of (0 - 1)\/((-44)\/150) and ((-208)\/80)\/((-4)\/q)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 12*v + 14. Let i be o(12). Suppose -2*n + 43 = 5*q, 2*q + 3*n - 13 = 13. Calculate the highest common divisor of i and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -1021102\nAnswer: 36\/510551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 238 = 238 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cucswcscuwwccccc. What is prob of sequence uu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -25081862 divided by 2\nAnswer: -12540931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1495 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63230542.\nAnswer: 2, 23, 167, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*m**5 - 9\/5*m**4 + 9\/5*m**2 - 6\/5*m + 0 + 3\/5*m**3 = 0. What is m?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*b**3*s**2 - 2*b**3*s - 422587*b**3 + 208*b**2*s - 35*b**2 - 93*b*s**2 + s wrt b.\nAnswer: -48*s**2 - 12*s - 2535522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4\/(-12)*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(153) + sqrt(153))\/sqrt(9).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 43687*a - 43688*a - 2, -8*r = a + 22 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15) + 124\/10. Suppose 43 = c - 20. Let l = c - z. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 628364265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -7, -26 in descending order.\nAnswer: 4, 2, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.015 and -0.029?\nAnswer: -0.000435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103191?\nAnswer: 3, 11, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + -4)*2\/20. Let j = 2026\/13 - 156. Which is the biggest value? (a) 3 (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77 or -1040?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 7. Let o be -1 + (3 - 0) - 6. Let x = -0.1 + 0. What is the closest to s in 1\/3, o, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29007805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464141, 927609, 1391077, 1854545?\nAnswer: 2318013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 87 and 82 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1 - 11)\/6)\/(-5)*2195?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 3*p**2 + p + 4. Let u be (-6)\/4*20\/15. Let d be l(u). Let s(g) = -g + 1. Let k(j) = -5*j + 4. What is d*s(x) - k(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -904 = 30*t - 4054. What is the lowest common multiple of t and 45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113681 + 8478*x - 113681.\nAnswer: 8478*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200100211121 (base 3) to base 5.\nAnswer: -212033111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**2 + 20. Let n(y) = -8*y**2 + 19. Determine 3*g(b) - 2*n(b).\nAnswer: -2*b**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 105?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 562448\/7 equal to 80350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 14, 61, 128, 215?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 4*f**2 - 5*f + 5. Let v be p(2). Let l(i) = -2 + 0*i**2 - 2*i**2 + 3*i**2. Give l(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 3*w**3 + 21)*(4*w - 3 - 4*w - 2*w) to a*w**2 + n*w**4 + x*w + u + k*w**3 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 5855*w - 206144. Give n(35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {i: 1, n: 5, e: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -51, 7 in descending order.\nAnswer: 24, 7, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*g**2 + 58*g**2 + 7111479*g - 87*g**2 - 7111479*g.\nAnswer: -196*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -24 - 64. Solve -24*v = -p*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 5*k + 10 = -b, 5*b = -4*k + 11. Suppose 2*q - 16 = b*q. Let h = -13 - q. Calculate the remainder when 9 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -40*z + 19 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -691209680 divided by 352658.\nAnswer: -1960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w + 3. Let r = 0.36 + -0.16. What is the closest to 0 in w, r, -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 + 148*u**2 + 1206*u + 1766. Determine a(-7).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 312155029*b**3*k**3 + 2040*b**3*k**2 - 8*b**3*k - 4*b**3 + 13*b*k**2 + 3*b wrt k?\nAnswer: 1872930174*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773472.\nAnswer: 2, 3, 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 29*n**3 + 6*n**2 + 16*n + 136. Is c(23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 405\/(-180)*8\/(-80)*32\/12.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0\/((-54)\/(-9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88651\/50 - 1772. Find the common denominator of x and 121\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggoc when four letters picked without replacement from ocgcccczcggocpocco?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9734207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, k: 5, e: 1, x: 1, a: 1}. What is prob of sequence akxl?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9682 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xeu when three letters picked without replacement from xbbgbeuuue?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -166*v - 166*v + 1328. Suppose d + 2*d = q + 8, 16 = -4*d - 4*q. Which is the biggest value? (a) 33 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/326 + 161\/652. Solve -1\/4*i**4 + 0 + 1\/4*i**3 + 0*i - a*i**5 + 1\/4*i**2 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130201871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18.1 in -0.03, 2\/5, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*a + 2*k, -2*a = -4*a + 3*k + 12. Suppose 50 + 105 = a*i - 4*c, 3*i + c = 175. Let b = i + 27. Does 32 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98\/179 + 26773\/2148. Calculate the common denominator of k and 2\/(-5)*505\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828513 to the power of 1\/2, to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 503, 746, 989?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 6*l**2 + 8*l + 1. Determine f(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 1)*(-2*y + 0*y + 0*y) + 0*y - 5*y + 4*y + (11 + 5 + 33)*(-3*y + y + y) in the form n + a*y and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*j + 88, -4*v - 2*j = -6*v + 46. What is the remainder when 321 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -16. Let g = -4 - p. What is the common denominator of 44 and -3 - ((-106)\/g - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.5 * 3.\nAnswer: 46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 10*s - 3*u + 9, -3*u + 18 = 5*s. Suppose s*y + 8*y - 80454 = 0. Let f = y - 3623. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*t - 5*z - 16, 3*t + 6 = -2*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89.86 + 238.38. Let t = s + -140. Let a = t - 7.1. What is a rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2270.5 + -2273.5. Let c = 108 - 112.3. Let v = c - 0.7. What is the closest to j in -3, -2\/11, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -48797*z. Let l(y) = 4*y**2. Give l(t(f)).\nAnswer: 9524588836*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -821576\/5 or -164315?\nAnswer: -164315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*o**2 + 931*o**2 - 460*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v = 14*v + 105 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39670, 43034, 48652, 56524?\n\"Answer: 1127*b**2 - 17*b + 38560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 893\/(-171) - (-30)\/135\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 32 = 5*d, -64*j + 68*j - 4 = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - b. Let r(w) = w**3 - 9*w**2 + 9*w - 7. Let p be r(8). List the prime factors of j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 17. Let o be x(8). Suppose 17*h = 15*h - 32. Let k = -11 - h. Put k, 0, o in decreasing order.\nAnswer: k, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.4 (b) 4\/13 (c) 0.2 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5278.16 times 0.3\nAnswer: 1583.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7298 = -2*r, 4*r - 6798 = -z + 7798. Suppose -418 = 9*h - r. What are the prime factors of h?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 1, -0.4, 16\/1117?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179 + -183. Suppose -5*t + 2*t - 2*j + 1 = 0, 4*t + j - 8 = 0. What is the biggest value in v, 0.3, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -496 + 2479\/5. Let a = -142 - -130.6. Let h = 10 + a. What is the second biggest value in h, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -30, 5, 4.\nAnswer: -30, -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1112161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.234589 nanoseconds in microseconds?\nAnswer: 0.003234589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 29199778, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2162*m**2 - 6275*m - 22. Give t(-3).\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102543 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1396 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105 - -60. Let r = m - -41. Let f be 4\/(-10) + (3 - 3). What is the nearest to 2 in 0, r, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 296*b - 2 - 351*b to g*b + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(980)*2*-1 + -3)*2)**2.\nAnswer: 2016*sqrt(5) + 47148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 6*f. Let k be o(-4). Suppose k = 3*x - 1. Solve -4*v - a - 12 = x*a, 0 = -5*v + 2*a - 29 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 52*r + 10*r + 41272 = 0. Is 938 equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152009 and 10231?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4478819203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2*y - 546, 3*c + 4*y - 819 = 2*y. List the prime factors of c.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1883, -49, 1.\nAnswer: -49, 1, 1883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -145539279 divided by -3789?\nAnswer: 38411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*i + 4*g, -4*g = -0 + 4. Let n be i + ((-752)\/124 - -3). Let u = 2 - 2. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t**2 + t - 3. Let p(k) = 0*k**2 - 5*k**2 - 2 + 12*k**2. Let o(d) = 5*p(d) - 4*s(d). Let f = 124 + -122. What is o(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -40. Suppose 4*d = 2*h + 66, -h + 22 = p*d - 57. Suppose -3*i + 5*f = -d, i - f - 7 = -1. What is the highest common factor of i and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (17 + 5 - 14).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooopoooopopoo. Give prob of sequence po.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/40)\/((-62)\/372)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -648270, -648267, -648264, -648261, -648258, -648255?\nAnswer: -648252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10529768?\nAnswer: 2, 23, 89, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 20.3.\nAnswer: 1.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*s)*((0 + 1 + 1)*(-1 - 2*s + 1) + 1 - 1 + 2*s + (-18 + 21 - 44)*(s - 3*s + 4*s)) as q*s**2 + m + h*s and give q.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let x be k\/3*(-3)\/(-8). Let j = -1150 + 1149.5. What is the nearest to x in j, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626058 >= 626195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 163*q**4\/4 + q**3 - 495*q**2 + 975. What is the second derivative of n(v) wrt v?\nAnswer: 978*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.89625987 plus 5.7876?\nAnswer: 7.68385987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8441*p**3 + 4273*p**3 + 4155*p**3.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6937 - -249769\/36. What is the common denominator of b and 101\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8534233\/85475 + 9\/6575. Suppose -4*h + 3*y = 409, -y - 197 = 2*h - 0*y. Let u = g + h. Which is the third smallest value? (a) -3\/7 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118944 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 1027?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3859 + -3864. What is the fourth biggest value in 0.2, a, 0.4, 1113?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -3525472?\nAnswer: 3525475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*(54\/(-84))\/(-9) - (-460)\/35\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -241?\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Let h(f) = f**3 + 6*f**2 - 18*f - 12. Let s be h(-8). Let g(t) = 2 - 6*t + 2 - s. Give g(a(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4466929?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyyyyyoogoyygyygrro. What is prob of picking 2 y and 1 o?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 14*l**2 + 16*l + 7. Let v be z(15). Let x = v + -21. Sort x, -2, -5 in increasing order.\nAnswer: -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -480?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -4744, 7, 1, 14 in descending order.\nAnswer: 14, 7, 3, 1, -1, -4744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1300, 2552, 3790, 5008, 6200?\n\"Answer: -f**3 - f**2 + 1262*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 2, -4, -0.1, 4\/7 in ascending order.\nAnswer: -4, -0.1, 0.05, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -221 - -3977\/18. Find the common denominator of z and (3\/(-56))\/((-9)\/(-330)).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05645197516 - 836.\nAnswer: -836.05645197516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, h: 10, e: 3, l: 1}. Give prob of sequence he.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70064.\nAnswer: 2, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 160481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*o - 149*o - 365*o + 2.\nAnswer: -564*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/17)\/(r*r*r\/(r\/(r\/(r**(-3)\/r)))) assuming r is positive.\nAnswer: r**(-115\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/2 - (264708\/(-76))\/(-81).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 584614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -19*u + 5. Let h(w) be the first derivative of w**3\/3 + 248. Give y(h(r)).\nAnswer: -19*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 124, 136, 124, 82, 4, -116?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 divided by -1?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 9*r + 78 = 0. Suppose -6 = -8*f + r. Solve -5 = f*t + t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -415*s - 195097. Calculate i(-470).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5711 - 6386.22. What is w rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -805547?\nAnswer: 4\/805547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -22*1*(-5)\/(-5). Does -22 = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 49474 = u, -2*u + u + 32981 = 2*h. Let c = -725621\/44 + h. Find the common denominator of 69\/32 and c.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*z = 96. Suppose b - c = 483, -17*b = -18*b + 2*c + 488. Calculate the remainder when b is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*((29 - 30)\/1)\/((-1)\/(-115))\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.802, -0.5, -28.97?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3598 - -8474. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12457242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 13. Let t = k - 4. Suppose 0 = -j + a + 3, 2*j + 0*a = -t*a - 6. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -112*z - 252. What is the thousands digit of p(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29212 by -4.\nAnswer: -7303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**2 + j**2 - 13*j**2 + 10*j**2 + 3*j**4 wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*u + 2*p, 0*p - 3*p = -2*u - 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 4 - 4 + 4 - 12*q + 2 - 4 - 4*q + 4*q + 3*q + (-2 + 3 - 4)*(3*q - 5*q + 0*q).\nAnswer: -5*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30471, -33009, -35547, -38085?\n\"Answer: -2538*j - 27933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 7*n**2 + 2*n - 15. Calculate y(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and 22.70699771.\nAnswer: 11.70699771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 6*i - l + 5, 4*l - 12 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 319913943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 2, x: 5}. What is prob of picking 2 x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -35*y**4\/4 + 212*y**3\/3 - 257*y**2. Find the first derivative of v(q) wrt q.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -810.8 + 810. Suppose -7*q = -6*q - 5. Sort -0.3, j, 0.5, q in descending order.\nAnswer: q, 0.5, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(11) + sqrt(495)\/sqrt(5).\nAnswer: 2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45918\/1057 + 304\/7. Let u = 312\/755 + j. Let v be (-6)\/14 + 3*2\/63. What is the second smallest value in u, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223 divided by -1456\nAnswer: 223\/1456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.082 and 0.03029.\nAnswer: -0.05171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 2*q - 1. Let y(i) = 408*i + 204. Determine 204*v(m) + y(m).\nAnswer: 204*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 573 - 454. Is r smaller than 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 348.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*j + 12*j + 1950. What is the remainder when j is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 18. Let k be r(-17). Solve -c = -2*c + k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350064 to the power of 1\/2, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 32*y**2 + 157*y + 21. Let x be p(-26). Let f = -4 + 12. Let n(h) = -4*h + 3 + 0*h + 3*h. Let k(w) = -w + 2. Determine f*k(q) + x*n(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-11775)\/12*580\/(-725) is divided by 160?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 2*v + 5*q - 25 = 6*v, -v + 12*q - 2 + 6 - 12 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5688*a**2 - a + 4. Let l be (-4 - 12\/(-4)) + 3. Suppose -4*s - 5*k - 36 = 0, 12 = -2*s - l*s + k. Let c be w(s). Round c to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y. Let t(o) = 154*o. Calculate q(t(j)).\nAnswer: 462*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13*k**2 + 153*k - 330. Calculate x(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/140 and -11\/16?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(99 + 16)*(75\/250)\/((-6)\/16)\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*m - 59*m + 12*m**3 - 13 - 71*m + 0*m**4 - m**4 + 14*m**2 + 190*m.\nAnswer: -(m - 13)*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in micrometers?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -3\/4, 4, -3377, -0.5, 5\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323 + 2*m**3 - 559 + 318.\nAnswer: 2*m**3 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78481 or -78479?\nAnswer: -78481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23261*m**5 - 128*m + 19 wrt m.\nAnswer: -465220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 56*g + 153. Let t be k(3). Solve 4*b = -t*b + 48 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Suppose 0 = -3*a - 4*m + 4, -4*a + i*m + 52 = 0. Let c be (-262)\/(-11) + (-6)\/(-33). What is the highest common divisor of a and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 47.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 q, and 1 x when three letters picked without replacement from {f: 3, w: 6, x: 5, y: 1, q: 3}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g + 12 + 22 - g.\nAnswer: 8*g + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 53, 64, 79, 98, 121, 148?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 18*g - 2745. Does 61 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22968*d**2*q*s - 696*d**2*s - 45*d*q + 21*d*s + 5*q*s + 1331*q wrt d.\nAnswer: 45936*q*s - 1392*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, 12\/11.\nAnswer: -0.2, 12\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {m: 2, u: 6, n: 5, k: 3, i: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*f + 11, 4*c = c - 2*f + 7. Suppose -h + c = -1. Solve -3*x - x - h = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 2\/5 (c) 1765\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 0. Sort 5, -4, a.\nAnswer: -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2688 less than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1684*i**2 + 849*i**2 + 833*i**2 - 2 + 2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 143*f**3 - 25*f**2 + 25*f + 36. What is w(2)?\nAnswer: 1130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7461*n + 28. Let b be s(6). Is b\/(-12)*(18 - 24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5*b + 45, -3*x + 1 = -4*b + 9. Let z be ((-2)\/(-4))\/(x\/136). Let o = -1092.9 + 1093. What is the nearest to o in 4, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 56 = 3*a + 5*n - 7, -3*n - 25 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281304.7 + 0.5.\nAnswer: -281304.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6 + 23*z - 13 + 2. Let k be a(-7). Let f be k\/(-10) + 2\/5. What is the highest common factor of f and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -17. Let x be 2\/r - (0\/4 - 14). Let z(i) = 18*i + 29*i + x*i + 24*i. Let u(v) = -v**2. Give z(u(l)).\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h - 37*h + 8 = -2*a, 4*h + 20 = -5*a. Suppose -9 = 22*x - 25*x. Sort 11, a, x in decreasing order.\nAnswer: 11, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52734 divided by -47.\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -40556838 and 384.54.\nAnswer: -40556453.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0110586576 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/34472 and -61\/12927?\nAnswer: 103416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 1.228905?\nAnswer: 1.228905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l = 72. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from wpzppppppzzwppppp.\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -17. Let a = 332 + o. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.072 + -0.572. What is the smallest value in 3, f, 1\/2, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10 - 3*v + v + 3*v. Let g be x(5). Let d = g - -10. What is the second smallest value in d, 0.5, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1708*p - 163691. Calculate s(96).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1029*l**3 - 27*l**2 + 4*l - 314711 wrt l.\nAnswer: -3087*l**2 - 54*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16251196*v - 10102815 wrt v.\nAnswer: -16251196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -61386548 times -3\nAnswer: 184159644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*x - 4*l, -x - 3*l = -5*l - 13. Suppose 6*g - x - 1 = 0. Find c such that -18\/7*c**2 - 2\/7*c**g - 54\/7*c - 54\/7 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2573402*h**2*o**5 - 6*h**2*o**3 - 2*h**2*o**2 + 56941*h*o**2 + h*o + o**2 - 4 wrt o?\nAnswer: 154404120*h**2*o**2 - 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 66. Let n be (4 - 4)\/(4\/2). Let s be o(n). List the prime factors of ((-1)\/3)\/(2\/s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*b - 0*g + 210, 4*b = -2*g + 436. Is 35 a factor of (b - 4)*6\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*y**5 + 12*y**2 - 34*y?\nAnswer: 80*y**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32214433 (base 5) to base 16.\nAnswer: -42ade","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -235*j**3 - 6*j - 8*j + 3 + 10*j + 243*j**3 + 1 + 2*j**2. Let v(u) = -9*u**3 - 2*u**2 + 5*u - 5. Calculate 5*m(a) + 4*v(a).\nAnswer: 4*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1038*p**2. Let t(r) = -2*r. Determine t(u(v)).\nAnswer: -2076*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7490209 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -6) + 10 - 3 - 5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 945 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4 = t - 3*d, -2*t + 4*d + 6 = 0. Let n be 36\/6 - t*3. Suppose 3*x - 59 = -w + n*w, -4*x = -w - 82. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**3 + l - 1. Let m be c(1). Suppose i - 15 = m. Let n(s) = -77*s - 373. Calculate the remainder when i is divided by n(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 0 + 5*a + 2*a + 10 - 6*a. Let c = -31 + 24. Let u be n(c). Which is greater: u or 8\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - sqrt(70)*-1)*6)\/(sqrt(360)*-3).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o - 20. Let c be x(5). Suppose c*f - 11 = 9. Let d be ((-26)\/(-4))\/((-2)\/(-4)). Solve f*w = -d - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 12598?\nAnswer: 62990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858572 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-20)*(-5)\/2. Let r be 1*21 + -5 + w. Suppose 3*d = -p + 198, -4*d + r - 224 = -p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*f + 120 = -144*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*c + 835, -c + 5*s - 137 = 276. Let m = c - -446. What is the remainder when 137 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 4:35 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**9\/5040 - j**6\/720 + j**4\/12 - j. Let k(m) be the third derivative of v(m). Find the second derivative of k(o) wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 0*f**2 - 4*f**2 - 3*f**2. Let k(r) be the first derivative of -r**2\/2 - 1. Determine k(u(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405, 1144, 2485, 4728, 8173, 13120, 19869, 28720?\nAnswer: 39973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57054124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -451, -663, -969, -1375, -1887, -2511, -3253?\nAnswer: -4119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 63233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/((-185)\/(-10))*(-29)\/((-319)\/(-15))?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3)\/(2\/(-3)). Let b = 62.5575 - 53.5575. Suppose 10 + 15 = 5*c - 3*n, 3*c = -n + 15. What is the second smallest value in t, b, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-5)*(0 + 1). Suppose -3*t + 6 = -w*t. Suppose 7 = c + t*n, 0 = 4*c - n - n - 8. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 16*m = 162. Calculate the remainder when m is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 96?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) -0.07 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816271163?\nAnswer: 3, 7, 59, 488639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9519.7 + -9525. What is the closest to 2 in 4, -0.2, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 2*t + 1. Let z be r(-2). Let l(f) = f**2 - 3*f + 2. Suppose 3*w = -3 + 9. Let k be l(w). Solve k = 6*h - 3*h + z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.73 rounded to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = c, -5*x - 34 = 2*c - 12. Suppose -12 = -r - 3*r. Let z = r - x. Calculate the highest common divisor of z and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2044 and 168122066.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -5*a - 14. Let u(t) = t**2 + 3*t + 4. What is the least common multiple of u(-2) and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**4\/4 - 4*j**3\/3 + j**2 - 3*j + 6. Let q be p(4). What is the first derivative of 5 + q*n**2 - 2 + 2*n**2 wrt n?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 13*s + 6. Let q be v(7). Let m = q + 72. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by 161\nAnswer: 79\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**3 - 7*f**2 + 80*f - 66. Let w(h) = -29*h**3 - 24*h**2 + 320*h - 267. Let d(r) = 9*q(r) - 2*w(r). Suppose d(g) = 0. What is g?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15370 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**4*n + 139*k**4 + 2*k**2*n*y + 4*k*n*y + k - n - 21*y wrt k.\nAnswer: -24*k**2*n + 1668*k**2 + 4*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 2*l - l + 2*l + 0 + 0 + (-6*l + 5*l + 2*l)*(6 - 3 - 2) + (3 + 65 - 4)*(2*l + 0*l + l).\nAnswer: 193*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4\/17 + 40*h**3\/17 + 24*h**2\/17 - 448*h\/17 - 640\/17 = 0.\nAnswer: -2, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, 54, 124.\nAnswer: -5, 17, 54, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -2575673?\nAnswer: -29\/2575673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -316*z**3 + 3*z**2 - 15*z - 22. Determine i(-1).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*f**4 - 6*f**4 + 3*f**4 + (f**4 + 0*f**4 + 0*f**4)*(-4 + 0 + 3) - 4*f**4 + 3*f**4 + 0*f**4 + 7 - 3 - 3*f**4 + 9.\nAnswer: 13*f**4 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-16))\/((-4)\/12).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -51*w**2 - 7*w. Let q(m) = 22*m**2 + 3*m. Let f(o) = -3*j(o) - 7*q(o). Let p(s) = -7 - s + s + s. Calculate f(p(i)).\nAnswer: -i**2 + 14*i - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83\/498)\/(2\/(-66))*2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o + 11*o**2 + o**3 - 8*o**2 - 2*o**4 + o**4 as g*o**4 + z*o**2 + c + m*o + t*o**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 151?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**5\/15 + 5*t**4\/9 - 16*t**3\/9 - 8*t**2 + 48*t. Factor i(r).\nAnswer: 4*(r - 2)*(r + 1)*(r + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 31 = -2*j - 15, 13*j - 117 = 0. What is the least common multiple of 21\/(-9)*-3 + 1 and l?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1)*(-3*s**2 + 4*s**2 + 0*s**2)*(-37 + 37 - 38*s**2) to the form q*s + f*s**4 + g + c*s**3 + o*s**2 and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*w = -42*w + 474634 - 2941454. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-19)\/(-6) + -6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*o**6 + 3*o**4 - o**2 - 11*o.\nAnswer: 5880*o**3 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50, 107, 164, 221?\n\"Answer: 57*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -0.054025316.\nAnswer: -2.054025316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 + 40*k**2 + 37*k - 32. What is g(-19)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -237*i - 24. Let d be l(-4). Let n be (2\/(-4))\/((-9247)\/d + 10). What is the highest common factor of n and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9366 and 802398?\nAnswer: 1252543278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 6 (b) 1\/2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*w**4 + 8*w**3 + 74*w**2 - 5*w - 3498604 wrt w.\nAnswer: 24*w**3 + 24*w**2 + 148*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -51.85.\nAnswer: -48.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.4, -0.16, 0.024 in decreasing order.\nAnswer: 3\/5, 0.024, -0.16, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y - 5*y + 5*y)*(4*y**2 - 3*y**2 + y**2) + 1895*y**2 + 6*y**3 - 1895*y**2 - 7*y to v*y + f*y**2 + o*y**3 + x and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 4.32?\nAnswer: -12.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1. Let w(j) = 4 + j**3 - 2*j + 2*j. Let d(p) = 7*n(p) - 2*w(p). Find the first derivative of d(q) wrt q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 19*k - 1980. Let h = -99 + k. Put 21, -2, h, -1 in decreasing order.\nAnswer: 21, h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 22*s. Let i be (-10)\/(-4) - 33\/66. Let p(g) = 36 - 36 - 15*g**i + 18*g**2. Determine p(l(k)).\nAnswer: 1452*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 2:29 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -3, -2 in ascending order.\nAnswer: -3, -2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 12*n**2 + 10*n + 14. Let w be a(11). Let z be ((-30)\/(-25))\/(w\/10). Does 4 divide z\/(-14) - 100\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - -6.1. Let q = 7 - o. Let g = -26 + 31. What is the second biggest value in g, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3686434, -14745741, -33177926, -58982995, -92160954, -132711809?\n\"Answer: -n**3 - 3686433*n**2 - n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a - 4. Let h be i(7). Let t be (1 + -9)\/(6\/(-15)). Suppose -5 + t = 5*r. What is the greatest common factor of r and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 8*a**2 - 7*a - 3. Give h(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8397 and 110405.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23 and -57.\nAnswer: -13.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 15. Suppose 3*s = -6 + i. Suppose -2*d - d - 12 = s*v, -3*d - 12 = v. Is 4\/9 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1896 and 1560.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 1400.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/18 - 3 - (-20)\/(-1530)*17. Sort -9, 0, z, 17 in increasing order.\nAnswer: -9, z, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2))**(-1\/10)*x**11*x**(-9\/2) assuming x is positive.\nAnswer: x**(127\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -401\/60 - -62\/15. What is the common denominator of w and 107\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 3*n + 20. Let b be (-444)\/(-10) + n\/(-10). Calculate the highest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160818 by 14.\nAnswer: -11487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -127, 22 in decreasing order.\nAnswer: 22, -5, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/30 + (-2)\/10. Let o(v) = v - v - t*v + 0*v. Give o(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 - 104*u - 8. Give w(-26).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uamuuyumqumuummmu. What is prob of sequence am?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 322, 10, -0.3, -3, 35?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 - j + 27. What is the tens digit of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2*m = -22, 4 - 3 = m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 12492?\nAnswer: -12492.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a0b173 (base 13) to base 2.\nAnswer: 100000101010110111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 15651.8168?\nAnswer: 15651.8168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1211 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 111 + 621 = 0. Let g = i - 68. What is the highest common divisor of g and 255?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.035903 decades?\nAnswer: 90.35903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.573331246 rounded to 3 dps?\nAnswer: -0.573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22061340 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 339081, 678766, 1018459, 1358166, 1697893, 2037646, 2377431?\n\"Answer: u**3 - 2*u**2 + 339684*u - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*z - 32 = 0, b = -4*b + 2*z + 25. Let i(r) = r - 6. Let o be i(5). Let h = o + b. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -12*n - 177. Let y(m) = 12*m + 151. Let f(x) = -4*b(x) - 5*y(x). Calculate f(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -70, 4, 2\/11 in decreasing order.\nAnswer: 4, 2\/11, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1208602 and 15965.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -53, -78, -79, -56?\n\"Answer: 12*z**2 - 61*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 26*y**2 + 19*y - 137. Give i(-24).\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.64 - -2.639566. Round r to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 3*x - 40*x**2 + 42*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 52 = 2*b - 2*y, -4*b = y - 94. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1325, -1329, -1335, -1343?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1376?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 16*j + 16. Let k(l) = 3*l - 8 + 3 - 3*l + 4*l - l**2 - 9*l. What is -5*h(r) - 16*k(r)?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4170579426?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*y**4 + (31*y**3 - 22*y**3 + 17*y**3)*(-4*y + 0*y + 3*y) + 0*y**3 + 2*y**4 + 0*y**3.\nAnswer: -22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1738*q - 43438. What is j(-25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 8*r + 9. Let c be u(7). What is the greatest common divisor of 256 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 10*j - 4*o - 20, 0 = 5*o - 35. Solve 15*a + 7 = z + j*a, 5*z - 4*a = 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4 - 11736044*r**3 = 0.\nAnswer: -5868022, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -13. Let m be 12\/(-8) + 14\/i. Solve 5*g + 28 = -4*f, 0*g - 2 = -m*g + 5*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90 - 90 - 5*z**4 + (3*z**2 - 3*z**2 + 5*z**2)*(-6*z**2 + 4*z**2 + 4*z**2) - z**4 - 3*z**4 + z**4 - 3*z**4 + 0*z**4 + 2*z**4.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 122349\/34 + 3\/2. Round x to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 0)*(-56*w**2 - 69*w**2 - 2*w - 20 + 136*w**2) to the form l + b*w + d*w**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.055, 1\/2, 3.\nAnswer: -0.055, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4363, -8692, -12983, -17236, -21451, -25628, -29767?\nAnswer: -33868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + 30.0464. What is t rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -16, -4*t + 3*t + 5*y + 17 = 0. Factor 37 + 2*d - d**3 - d**2 - t.\nAnswer: -d*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 20 - 1 + 19*i.\nAnswer: 19*i + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - 11)*(-17)\/51. Which is smaller: -6.6 or p?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/2 - (-9 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 23\/12?\nAnswer: 23\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6032 to the nearest ten.\nAnswer: -6030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 40*u = -38970000. Let p = u - -9240000. Round p to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501437?\nAnswer: 73, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + (-56)\/(-12))\/(42\/(-28)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/3294 and -71\/486.\nAnswer: 29646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 528495000 rounded to the nearest one million?\nAnswer: 528000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/5)\/(x*x**(-2\/7)))**(-11) assuming x is positive.\nAnswer: x**(583\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4*c - 9 = 0, -4*z = -c + 9547 - 9553 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 4225?\nAnswer: 4221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**3 + 2*x**2 - 2*x - 1. Give j(2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74702 - 6*w**2 + 74702.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17733, -33157, -48579, -63999, -79417, -94833, -110247?\nAnswer: -125659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17402033437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/300*(-3)\/(-12)*-10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 38, -4, 5, -151, 6 in decreasing order.\nAnswer: 38, 6, 5, -4, -19, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1002*l + 4049*l + 3627*l - 86*l)*(-l + 2*l + l).\nAnswer: 17184*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 61238234 divided by -63923\nAnswer: -958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1324 + 147.\nAnswer: 146.8676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134877701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3488 divided by 1744\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6616.117ml in litres?\nAnswer: 6.616117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-12)\/(-14))\/(4\/140) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-15877131\nAnswer: 95262786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 94*g**5\/3 - 853*g**3\/6 - 1525*g**2. What is the first derivative of i(s) wrt s?\nAnswer: 3760*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (340\/289)\/(15\/1530) + (5 - 2 - 0)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*v + 27 + 8 + 195. Solve -v*d = 3*r + 16, 13*d - 4*r - 13 = 18*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.034161 rounded to one dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2229241 or -2229237?\nAnswer: -2229237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*h + 9 + 11 = 0, 12 = v - 3*h. Put -3, -2, 0.4, v in descending order.\nAnswer: 0.4, v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5881115149?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 241693933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 408*133700\nAnswer: 54549600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3 = u - h, -u + 5*h - 6 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 39 = 53 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Let s be -6 + (7 - l) - -8. Solve 0*w + 3*w + s = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-25)\/100)\/((-2)\/212) and -73\/94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 30 = -5*v. Suppose 3*l + 7*k - 2*k = -40, -2*l + 5*k + v = 0. Put l, -4, 3 in descending order.\nAnswer: 3, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 368\/10*25\/(-5). Let t = 1658\/9 + d. Which is the second biggest value? (a) t (b) -2\/13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3787358 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 s when four letters picked without replacement from {z: 2, w: 2, m: 6, s: 10}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -a + 55, -4*z + 2*a = 4*a - 2*a - 2*a + 150 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(425) - (sqrt(425) + 0)) + sqrt(425)).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.11 + -23. Let x = -603 + 599.89. Let t = v + x. Put 8, t, -1 in increasing order.\nAnswer: t, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k - 1. Suppose 3*u - 6 = -3*q, -4*u + 2*q + 17 = -3*q. Suppose l = -8*p + 3*p - 19, -u*l + 5*p + 23 = 0. What is d(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49\/220 + -1\/44. Sort -3, a, -8, 0.3 in descending order.\nAnswer: 0.3, a, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 3?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5 + 3 = 299*o - 300*o, 4*r + 4*o + 20 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**2 - k - 1. Let p be t(-1). Suppose 14*b - p*b - 35 = 0. Suppose 0 = b*w - 15107 + 4740. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 70*o - 426. Calculate the greatest common divisor of o and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -453 (b) 1\/2 (c) 3 (d) -29\/1021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*y + 134, 0*u - 468 = 4*u - y. Let c = u + 130. Round c to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)*j*j\/(j**0*j)*j*(j**(-1\/3))**(14\/9))\/((j**(-1\/3))**16)**11 assuming j is positive.\nAnswer: j**(1642\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7 - 307*k**2 + 93*k**6 + 3*k**4 + 5 - 43*k**2 - 24*k**6 wrt k?\nAnswer: 8280*k**3 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -706132*j**2. Let d(c) = -2*c**2. Determine k(d(r)).\nAnswer: -2824528*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 14. Let s(n) = n**5 - 2*n**4 - n**3 + 2. Let y(w) = -w**4 + w**3 - w**2 + 1. Let i(o) = p*y(o) + s(o). What is b in i(b) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*k = -0*i - 129, 0 = -3*i - 4*k - 127. Let y = -639 + 663. Calculate the lowest common multiple of y and 60\/(-1)*18\/i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3493 = -191*j - 667 + 722 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*s**6 - 4*s**4 + 173*s**2 - 2*s.\nAnswer: -17040*s**3 - 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8*w = 9*w - 591, 0 = -3*u + 5*w + 426. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 + -57. Calculate the lowest common multiple of 15 and x.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 739992462 to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 22. Find the second derivative of -23*p**4 - 1 - 6 + u + 16*p wrt p.\nAnswer: -276*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - -28566a?\nAnswer: 28565a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2656 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 178488 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 968*g - 1934. Let y be a(2). Let x(p) = 2 + 2*p**2 - 3 + 2 - 6*p**3 + 2*p**3. Give x(y).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 5953061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -200200115*m**4 - m**2 - 1057925*m - 1 wrt m?\nAnswer: -4804802760*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f + 130 - 117462*f**2 + 117460*f**2 + 15*f. Give x(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1265)\/9108)\/((-5)\/(-3)))\/(15\/120).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 610 divided by -61.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 838193929 to the nearest integer?\nAnswer: 28952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 c when three letters picked without replacement from {c: 2, v: 1, q: 4, w: 1, k: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 733765213 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-98)\/22 - (286 - 291). Sort 5, 3, -21, i, -0.13 in descending order.\nAnswer: 5, 3, i, -0.13, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.9765 years to months.\nAnswer: 311.718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 398, 2, -3 in descending order.\nAnswer: 398, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43, 35, 17, -17, -73, -157, -275?\n\"Answer: -b**3 + b**2 - 4*b + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*q - 33, 25 + 4 = 2*z + q. Find the third derivative of -z*g + 4*g**6 + 24*g**6 + 19*g**2 + 11*g - 18*g**2 - 2*g**5 wrt g.\nAnswer: 3360*g**3 - 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by (-19)\/(-285) + 18528\/180.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2674 + 84695. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 57. Suppose -4*d + i*d - 3*f = 18452, -2*f = 5*d + 23072. Let p = d + 6550. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2504, 2020, 1534, 1046, 556, 64?\n\"Answer: -h**2 - 481*h + 2986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1927\/(-90)*-2 + 6\/(-27). Is 42 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/20 - 5*d**4\/24 + 5*d**3\/6 + 11*d**2. Is c(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - k = -i, 3*i = 4*k + 28. Sort i, -1, -10 in ascending order.\nAnswer: -10, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-293*o + 844*o - 319*o)*(-8 + 2 - 3) - 3*o + 0*o + 0*o.\nAnswer: -2091*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0318 and -1?\nAnswer: 0.0318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-27) + (-25)\/(-9). What is the third derivative of c**3 - 2*c**2 + 6*c**3 + c**2 - 2*c**f wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (247\/78)\/(-19) + (-19)\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*w - 27 + 27 + w**2)*(0*w + 2*w - w) + (3 - 3 - 2*w)*(-4 - 2*w**2 + 4) to g + l*w**3 + k*w**2 + z*w and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 10 + 4 + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 241*z + 1651. Determine p(-7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250910 is divided by 5871?\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 915, -10, -1 in increasing order.\nAnswer: -19, -10, -1, 915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4400 + 20654. What is the remainder when t is divided by 127?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 234*b + 2782415*b**3 - 2782355*b**3 + b**4 - 291*b**2 - 4*b**4 = 0. Calculate b.\nAnswer: 0, 1, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(40 + (-10344)\/264)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4 + (4 - 1 - 2)*(0 - 2 + 1))*(-4*f + 0*f + 2*f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -82*b**3 + 2*b**2 - b. Let i be v(1). Let a be i\/(-12) + (-2)\/(-8). Calculate the highest common factor of 14 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**7\/280 + x**6\/80 + x**5\/80 + 5*x**2\/2 + 4*x. Let z(i) be the first derivative of q(i). Solve z(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*u + 6*q - 4*q, 5*u - 2*q - 2 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 22726742542.4.\nAnswer: 22726742539.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 20*z**2 - 6. Give u(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(30\/9)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*v = -208, 4*t + 5*v - 241 = -65. Suppose -1763412 - 3456588 = -6*i. Suppose -i = -50*f + t*f. Round f to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -584126, -1168185, -1752244, -2336303, -2920362?\n\"Answer: -584059*k - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 11:26 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 115*h + 990. Calculate r(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 2*s**3 + 22*s**2 - 15*s**2 - 3*s**2 + 6 - 9*s**2. Suppose 0 = -2*o + 9 + 3. Let m be h(o). Calculate the highest common factor of 28 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(9*d + 43*d - 7*d).\nAnswer: -90*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54252 and 13152.\nAnswer: 434016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/((-52)\/(-17572))*-1?\nAnswer: 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1) + -2 - (-1 + 402). Let r = t - -876. List the prime factors of r.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 11) in base 10?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k. Suppose -45*l + 30 = -39*l. Let h(r) = -3 + 7*r**2 + l*r**2 + r**2. Give q(h(o)).\nAnswer: 26*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 36?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c + 1 + c**3 + 3*c**2 + 1 + 4*c**2. Calculate n(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r - 12. Let u be 13 + (8 - 5 - 5). Does 3 divide m(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 29*r + 61. Let g be 2 - 1 - (-2 - -8 - 3). Let u be p(g). Solve -42 = 11*q + u*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4\/4 + 169*w**3\/2 - 4173*w**2\/4 - 4241*w + 5200 = 0. Calculate w.\nAnswer: -4, 1, 16, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8069726145?\nAnswer: 3, 5, 13, 151, 274061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(3\/32))\/(y**(-6)*y)*(y**(-2\/15)*y)\/y*((y\/(y\/y**(-2\/129)))\/y)\/y*y assuming y is positive.\nAnswer: y**(32731\/6880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*p**2 + 68227*p - 3253783 wrt p.\nAnswer: 18*p + 68227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21693 is divided by 3323.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357530972?\nAnswer: 2, 307, 359, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/2)\/((-9)\/(-12)). Let a = j + 9. Suppose k - 34 = -a. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1741?\nAnswer: 4\/1741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, r: 3, x: 2, c: 4}. Give prob of sequence ctr.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153386 and 9214?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + -6 + (-5 - -11 - (-19 + 29 + -17))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:41 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11711391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6597 is divided by 6596.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a**2 + 75*a - 20. Give v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 271*t - 4060. Let l be o(15). Solve 2*w - 4*g - 12 = 6*w, l*g = -4*w - 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*6*((sqrt(168)\/sqrt(3))\/sqrt(8) - sqrt(84)\/(sqrt(12)*-1))*4)**2.\nAnswer: 1306368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**5\/30 + 447*s**2 + s. Let b(z) = 219*z. Give b(a(l)).\nAnswer: 438*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = 2*d. Let r be 3*(-2 + d + 5). Suppose 57 = -0*j + r*j. Calculate the remainder when 74 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5*p + 13 = 0, 1 = 4*r + 5*p - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzff when four letters picked without replacement from {z: 2, f: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.09 - -127.99. Let k = -112 + v. Which is the closest to k? (a) -1\/2 (b) 19 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 11. Let k be c(16). Is 6\/(-4) + k\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 - (17 - (37 + -24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) 1 (b) 7 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2407290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + -2*sqrt(51))\/sqrt(3) + -3)**2.\nAnswer: 6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 257497, 257489, 257481, 257473, 257465, 257457?\n\"Answer: -8*g + 257505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**3 - 3*b**2 - 3*b - 24. Let o(y) = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3 + 13 = -2*z, 4*p = -5*z - 26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 79193*h = -79191*h - 200, 5*h + 20 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.036095 rounded to 2 decimal places?\nAnswer: 32.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.048876768 to three dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/273)\/(3600\/(-84))*-4.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**2 + 101 - 101)*(-3 - g + 3).\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 3*v**2 - 2*v. Let m be t(-3). Let i(f) = -1 + f**2 + 0*f**2 + 8 + m - 12*f. Is i(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -13. Let t = -12 - -21. Let n = g - t. What is the closest to n in 1\/3, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18462, 18424, 18386, 18348, 18310, 18272?\n\"Answer: -38*x + 18500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-9)*(-1215)\/(-27)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0041739 to five decimal places.\nAnswer: -0.00417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -16*c**3 - 656*c**2 + 16*c + 7. Let d(m) = -21*m**3 - 875*m**2 + 21*m + 9. Give 7*d(l) - 9*p(l).\nAnswer: -3*l**3 - 221*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 + 0.04. Let c = n + -0.4. Let m = -0.08 - c. Which is greater: m or -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527594.7s in nanoseconds?\nAnswer: 527594700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1232 - 1229. Solve k*u + 21*i = 19*i + 20, 0 = 4*u - 2*i - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/857? (a) -0.2 (b) -0.4 (c) -13 (d) -4\/7 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10)\/((0 - -3) + (-5763)\/1938)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngo when three letters picked without replacement from {n: 2, l: 4, o: 1, y: 1, q: 4, g: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.34 - -1.59. Let k = h + -1.71. What is k rounded to one dp?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -565847 or -3.7?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116410\/29 or -0.03?\nAnswer: 116410\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 3*f**3 - f**3)*(4 - 1 - 2 + (4 - 3 + 1)*(1 - 2 + 0))*(-6*f - 14*f + f).\nAnswer: -19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 2938280*k**3 + 1 - 2938277*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-2) - -2)\/1. Sort u, -4, 1 in descending order.\nAnswer: 1, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/33)\/j)\/j**(6\/11))\/(j\/(j\/j**6))**(-1\/31) assuming j is positive.\nAnswer: j**(-1321\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73, -104, -161, -256, -401, -608?\n\"Answer: -2*o**3 - o**2 - 14*o - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 860.6 - 861. Put -1\/3, g, -1\/28, -6 in descending order.\nAnswer: -1\/28, -1\/3, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 5:40 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112498094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210 + 0\/(1\/(-4 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -4, 0.11, -2\/5, 183 in decreasing order.\nAnswer: 183, 1\/6, 0.11, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/7 + -9)\/(0 + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/7))**23\/(z**(1\/8))**47)**33 assuming z is positive.\nAnswer: z**(-16929\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.4 (c) 41429\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2*(1 + sqrt(76) + 0 + sqrt(76)))**2 - (-5 + sqrt(76)\/sqrt(16) + sqrt(228)\/sqrt(192))).\nAnswer: 375*sqrt(19)\/4 + 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x = 88 - 16. What is the remainder when 7 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1033201 - -11?\nAnswer: -1033130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20200102022022 (base 3) to base 7.\nAnswer: -42120206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87 or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 = -v, 47 = -5*v + 7*v - 5*h. Suppose 4*k - 6 = 4*p + 2, -k + 6 = p. What is the least common multiple of k and 10\/55 + 31\/v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/15 (b) 11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -5*x**3\/6 - 5*x. Let y(w) = -w**3 + 9*w**2 - w + 11. Let g be y(9). Let p(b) = 2 + 11*b**2 - 2 - 13*b**g. What is l(p(k))?\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5839 times -3\nAnswer: 17517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86287, -86387, -86487, -86587, -86687?\nAnswer: -86787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.27 in 1, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 171 - 289 - 3*h**2 + 5.\nAnswer: -3*h**2 + 3*h - 455","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 709, 2818, 6333, 11254, 17581, 25314?\nAnswer: 34453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*z - 2*z + 9 = 0, -g = 5*z + 19. Let j be (-4)\/(-24) + (-39)\/18. Let h = g - j. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 383 + 38)*(124*g + 215*g - 206*g) to c + f*g and give f.\nAnswer: -48146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025 a factor of 7763350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4636.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 75*h - 988. Let y be b(12). What is the third smallest value in -8, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-4)\/(-6) + 320. Suppose -9*g = -0*g - 18. Suppose 0 = 4*b - g*r - 2*r - q, 0 = -b - 3*r + 101. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -746*i**4 + 25187.\nAnswer: -2984*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r + 17. Let u be o(12). Let p = 14 - 16. Let d be (6\/(-5))\/(3\/(-10)) - 4. Sort p, d, u in descending order.\nAnswer: d, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**5\/60 + 17*m**4\/24 + m**3\/6 + 9*m**2. What is the tens digit of y(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8297?\nAnswer: 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21518 - 21513. Suppose 3*q - 6*q - 17 = l, q = l - 3. Let c = 0 - q. Solve -j - 15 = -c*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**5 + 28*q**4 + 36*q**3 - 108*q**2 - 216*q = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*r - w, -5*r + 46 = 2*w - 14. Suppose d - r - 9 = 0. What is the remainder when d is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 7595\nAnswer: 2278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*l + 5*l + 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16744577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1. Let z(k) = -k**3 - 17*k**2 - 17*k - 12. Let y be z(-16). Suppose -4*q + a + y = 10, 2 = 4*q + 3*a. Let d(j) = -2*j - 4. Give q*d(h) - 2*u(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6783 by 399.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 + 4*g**2 + 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*k**3 + 5 + 3*k**3 + 11*k**3 - 4 in the form b*k**2 + o + q*k + i*k**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3416.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 16*p + 25. Give r(-6).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-7))\/(6\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.759355083 rounded to 4 dps?\nAnswer: -20.7594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28547 by 24.\nAnswer: 28547\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -1. Does y = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + f**2 + 2*f - 1. Let z(h) = -493*h**4 + 4*h**3 + 664*h**2 - 8*h + 4. Let k(r) = -4*q(r) - z(r). What is the third derivative of k(l) wrt l?\nAnswer: 11832*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 3382.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1418 in 3, 2, 131\/2, -0.2, 0?\nAnswer: 131\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 15. What is b(6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from {h: 2, y: 4, u: 3, k: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124530?\nAnswer: 2, 3, 5, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829489 is divided by 1165.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 17 - m - 8*m**2 + m**2 + 5*m**2 + 3*m**2. What is x(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -125, -119, -109, -95?\n\"Answer: 2*v**2 - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 6081, 8 in descending order.\nAnswer: 6081, 8, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 2\/15, 11, -2\/7, -0.03?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 8:05 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/(-21) + 10\/(-35) - 5895\/917.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(216) - (sqrt(216)*2 - sqrt(216))))\/(4*(sqrt(16)*2)\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 60 = -9*l. Suppose -l*w - 5735 = -25*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94549.03l in millilitres?\nAnswer: 94549030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/2, -4, 0.4, 6\/7, -24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75593 or -75591?\nAnswer: -75591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 90377*b**2 + 25*b + 56. Let z be r(-6). Let d = 2213478 - z. What is d rounded to the nearest 10000?\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8142 + -8139. Sort 0, t, -757 in increasing order.\nAnswer: -757, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/((-180)\/6))\/(11\/(-22))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 14 + -3 - 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-15))\/((-2)\/10). Let a(r) = -16*r - 4*r - r**p - 16 + 5*r**2 + 5. Let x(b) = b**2 - 5*b - 3. Let i(j) = 6*a(j) - 22*x(j). Factor i(k).\nAnswer: 2*k*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760 divided by -220?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 8*n**2 - 4*n - 2979. Give y(-15).\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20671\/22 - 71241\/55. Let i = 357 + d. Which is greater: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*q)**48*(q**8\/q)\/q**(-5\/4)*(q\/((q\/((((q**(2\/5)*q)\/q)\/q)\/q))\/q*q))**(-3\/8)*(q\/q**1)\/(q*(q**(1\/5)\/q*q)\/q) assuming q is positive.\nAnswer: q**(1133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 45 = 6*g - g, g + 5*l + 25 = 0. Let n = g - -5. Does 5 divide n\/(-1) - (10 - 25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*j - 109?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 177690803050 and 28?\nAnswer: 177690803022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2511810?\nAnswer: 2, 3, 5, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-10) + (-6)\/15. Let a be -3*w*(-2)\/(-2). Factor -1\/2*y**2 + 1\/4*y**4 + 0*y**a + 1\/4 + 0*y.\nAnswer: (y - 1)**2*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let o = 109 - 105. Let r(g) = -5*g + 5*g + 8*g + 3*g - g + o. Give r(u(y)).\nAnswer: -10*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 m when three letters picked without replacement from kmekkmkkkkekk?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68684 and 616?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 16*l - 5*l)*(-14*l + 14*l - 6*l**3).\nAnswer: -54*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/(4\/16*-6 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*x**5 + 2*x**4 - 3401*x**3 - 7*x**2 + 213*x - 30 wrt x.\nAnswer: -240*x**2 + 48*x - 20406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1*1)\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-58)\/6 - (-2)\/(-6). Is 2 + (-1)\/1 - c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4757 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 9.7. Which is the nearest to 1\/3? (a) -0.01 (b) -5 (c) -5\/2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1208 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64783*m**2*t**2 + 14*m**2*t + 41*m*t**2 + 6835*m wrt m?\nAnswer: -129566*t**2 + 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.587 + -7.587. Which is the nearest to -5\/2? (a) z (b) 4\/3 (c) -4\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-1)*(59 + 8722\/(-147)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/15 + 166\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 60*l**2 + 5462. Let q(z) = -33*z**2 - 2731. Determine -11*q(p) - 6*r(p).\nAnswer: 3*p**2 - 2731","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130124242.999617 + -130125081. Let t = 838 + f. What is t rounded to 5 dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1711645 and 201370?\nAnswer: 3423290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*k - 42, -d = 5*k - 5*d - 52. Let x be (-156)\/k + 17 + (-38)\/10. Solve -x*b**3 - 8\/5*b - 4\/5 - b**2 = 0 for b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 665*a + 0*a**3 + a**3 + 664*a as f*a + h*a**2 + j*a**3 + c and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9296 + 9371. Calculate the remainder when o is divided by 6\/(-1)*(-30)\/9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/33*6\/(-1) - -1. Let z(g) = g - 1. Let b(q) = 3*q - 1. Let u(k) = b(k) + 6*z(k). Let p(x) = -5*x + 4. Give t*p(y) + 3*u(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-6) + 1045\/(-76)*(-2)\/(-15). Let h be 1 - -3 - 24\/7. Which is the nearest to y? (a) -2\/13 (b) h (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 483*u + 8289. Let i be l(-17). Calculate the greatest common divisor of 5265 and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 224169463 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -460013645?\nAnswer: -460013651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s - 4*u, -2*s = -2*u - 16. Suppose 4*d - 48 = -s*c, 24 = 5*c + 3*d - 30. Solve 3*j + 0*j - c = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a + 7*a - 4*a - 155 + 153 - 13*a.\nAnswer: -20*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 8, 1, 20, 83, 208, 413?\n\"Answer: 3*k**3 - 14*k**2 + 6*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + w**2 + 4. Let x be m(3). Let r = -24 - x. Let q be (-3)\/(-5) + r\/25. Is 0.1 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 4778\/6)*6\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - z + 0*z + 1418 = 0, 0 = 2*j - z - 712. Suppose j - 83 = 2*p. Suppose -6*q = -26*q + 340. What is the greatest common factor of q and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 12:43 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 640.6 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001 a factor of 215359649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34, -71, -108, -145, -182, -219?\n\"Answer: -37*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1069*y + 10292 + 10120 - 21388 wrt y.\nAnswer: 1069","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27115333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 53, 1646 in decreasing order.\nAnswer: 1646, 53, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2 + 788*i + 784 = 0. Calculate i.\nAnswer: -196, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -3382\/11.\nAnswer: -3382\/11, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 136168 (base 12) in base 14?\nAnswer: 852da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 713 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 6:03 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-11))\/(698\/11517).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + b = 4*b + 28315, -2*v = -b - 11327. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and -528325?\nAnswer: 12679800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -475631*m**3 + 38315*m**2 + 2 wrt m.\nAnswer: -2853786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -73\nAnswer: 14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 50*p**2 + 104*p - 7. Let u be o(52). Let v(z) = 9*z**2 - 8*z - 24. Let t(d) = d**2 - d + 1. Let c(i) = 2*t(i) + v(i). Is c(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 + 14*d - 8. Let a be u(4). Sort a, -2, 5, -15.\nAnswer: -15, -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 242.6 - 239. What is the nearest to 1\/4 in -1\/5, r, -1\/4, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + w = 8 - 3, -5 = 5*o - w. Solve o = 5*k - 350 + 385 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3161.988 years?\nAnswer: 31.61988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175*z - 171*z - 2*t - 26, -4 = 4*t for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.81 minus -0.08303?\nAnswer: 1.89303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*s + 133, -z + 95 = 3*s - 6*z. What is the remainder when 96 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:57 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 7*b = -20*b. Put 3, 19, b in decreasing order.\nAnswer: 19, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 101. Let r = k + -4. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*i + 33 = -5*i, i = -2*h - 30. Let t = h + 29. What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 61808935 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-3) - (-1 + 3 - 7)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let b(c) = -4*c + 0 - 3*c - 2. Calculate -b(g) - 4*x(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 14. Let x = p + -5. Suppose x*q + 2240 = -580. Round q to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = h - 2*n - 2, -n - 1 = 0. Let z be (h\/(-95))\/(30\/100). Do z and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/900482 and 151\/66.\nAnswer: 2701446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0114 and -3.\nAnswer: 0.0342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + k**2 + (-5*k + 3*k + 3*k)*(k - 5 + 5))*(k - k - k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbj when three letters picked without replacement from jjbj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a factor of 254530487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.2379 decades to centuries.\nAnswer: 7.42379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let f(q) = -324*q**2 + 2*q. What is f(t(a))?\nAnswer: -324*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p + 2*p)*(6*p - p - 2*p) + 11*p**3 + 30*p**2 - 30*p**2.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 7. Let n = a + 5. Calculate the remainder when 34 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14468?\nAnswer: 2, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4949 or -242442\/49?\nAnswer: -4949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -5\/54*b**4 + 1\/27*b**3 - 31*b**2 + 5\/54*b**5 + 0 + 0*b. Factor s(h).\nAnswer: 2*(5*h - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, d: 15}. What is prob of picking 2 d?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s. Let p be -1 - (0 - (-2 + 5)). Let u(h) = h - h + 8*h**2 - 6*h**p. Calculate u(q(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(17020\/207)*4\/(-3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**8\/60 + z**6\/15 + 14*z**3 + 34. Let j(l) be the third derivative of g(l). What is the third derivative of j(o) wrt o?\nAnswer: -672*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 6*g**2 + 6*g - 13. Let p be t(-7). Let l(y) be the first derivative of -y**4\/4 - 1. Let h(d) = 6*d**3. What is p*h(q) - 34*l(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 3*y - 3. Calculate d(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1091 - 1078 = -t - 2*h, t + 5*h = -37. What is m in 4\/7*m**4 - 1\/7*m**5 + 0 + 1\/7*m**t + 0*m - 4\/7*m**2 = 0?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**3\/6 + 2*n - 351. Let y(j) = -2*j + 2038. Give y(f(z)).\nAnswer: 2*z + 2038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2344840*o. Let c(l) = 2*l - 5. What is m(c(s))?\nAnswer: 4689680*s - 11724200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10091 = 3*w - 4*j, -4*j - 18203 = -4*w - 4755. Is 6\/14*w - 2\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3445048 is divided by 510.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 71937974 divided by -23\nAnswer: -3127738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -5\/2 (c) -141.427 (d) 1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 44 = -0*s. Let n = s - 7. Suppose -9*r + 39 + 6 = 0. Solve r*c - 3*w + 22 = -2*w, 2*c + n = -2*w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -12730406?\nAnswer: 12730403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnx when three letters picked without replacement from {n: 1, x: 1, l: 1, g: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7976, 0.0398, -4, 3 in decreasing order.\nAnswer: 7976, 3, 0.0398, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 25*x**2 - x + 1. Calculate d(25).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83503 + -29324. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 4:46 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 28*a**2 - 2*a - 1. Let r be s(-1). Suppose 4 - r = 5*c, 0 = -3*b + 4*c - 46. Let g = -13 - b. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x = -37*x. Suppose -r + 2*r - 153 = x. Let w be r\/(-36) + 2\/8. What is the smallest value in w, 2, 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 2) + -1 + 1. Let w be (-1)\/(-4) - (-105)\/(-20). Let x = -5 - w. Put x, q, 5 in descending order.\nAnswer: 5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 10 + 20. Suppose x = -3*q + 11, -3*x = -9*q + 6*q + a. Sort 4, -2, 28, q in ascending order.\nAnswer: -2, q, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -7*k - 212, 0 = 4*c + 2296*k - 2293*k + 108 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109 + -96. Suppose j - 3*m - 5 = 0, -f = -j - 3*j + 5*m. Suppose -518 - 631 = -4*i - 3*y, 1134 = 4*i - j*y. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(-10)\/(-1875)*(-27011262)\/100. Let n = 7203 - q. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 641 - -16.\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 776024141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*-1 + (-3)\/(-2))*(-10866)\/(-5433). Let i(t) = t**2 - t. Let x(r) = -20*r**3 + 6*r**2 - 6*r + 1. Let c(n) = -6*i(n) + x(n). What is c(j)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 7*w**2 - 4*w + 1. Let i be k(8). Let j = i - 25. Suppose j*x = 3*x + 105. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1174 divided by -587.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-9))\/(5\/(-6)). Let v = -13 + 11. Let i be (v\/4)\/((-9)\/(-6)). Which is the third biggest value? (a) -0.4 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 0.02826.\nAnswer: -0.0016956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 7513\nAnswer: -43\/7513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -902360.521 to the nearest ten thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 1, t: 1, a: 1, r: 1, k: 2}. What is prob of picking 1 z and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (-114)\/(-30)) + (-21)\/5. Let q(h) = -10*h + 2. Let v be q(g). Suppose -3*t = 3*n - v, 4*n - 2*n = -t + 28. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14637 or 14613?\nAnswer: 14637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19650 or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q + 37 = 22*q. Calculate the remainder when 126 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.04694 millennia?\nAnswer: 7046.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*k - 1279 = -164*k - 4744 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 470 times 0.147\nAnswer: 69.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21813*m = -21083*m - 15330 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 2898 in descending order.\nAnswer: 2898, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 16) to base 4.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 393 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10 - 15*i + 13*i + 28*i + 1. What is the tens digit of h(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**3 - 2*c**2 + 4*c**3 + 5*c**2 + 4 + 8*c + 6*c**2. Let p be y(-8). Solve 2*a + 5*t = p*a - 17, -5*a + 2 = t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*z + 101*z = -75202887. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320309117?\nAnswer: 3, 1321, 111053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q + 2. Let k(m) = 2*m - 1. Let v = 11 + -4. Let j = 11 - v. Calculate j*n(l) + 7*k(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23\/38 + -2\/19. What is the biggest value in n, -15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43818.\nAnswer: 2, 3, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - h. Suppose -23*w = -2*w - 42. Suppose 6 = w*v + 2. What is i(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 20*b.\nAnswer: -5*b*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 9729*s + 1560*s.\nAnswer: -8169*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(7) + sqrt(14)\/sqrt(2))*-3 + sqrt(7) + (sqrt(49)\/(1*sqrt(7)) - sqrt(7)) - 1*(-1 + sqrt(1008))) + 1)**2.\nAnswer: -272*sqrt(7) + 8108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26425.758 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 690 divide 81379980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -53, -142, -231, -320, -409?\n\"Answer: -89*i + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 3:04 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1025\/72 - -136\/9. Suppose 4*u - f = -304, 5*u + 228 = 2*u - 2*f. Calculate the common denominator of l and (-49)\/(-49)*67\/u*-2.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.44 rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16286, -32557, -48828, -65099, -81370?\nAnswer: -97641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**5\/15 + 55*u**4\/12 - 163*u**3\/3 + 138*u**2. Differentiate a(v) wrt v.\nAnswer: -8*v + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8448730 + -13881262814\/1643. Let c = j + -22\/53. Is c greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/8 - (-11)\/88\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28610861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1612592 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53642203*m**3 + 2273*m**2 - 3*m - 743.\nAnswer: -321853218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*((-h + 2*h - 2*h)*(-2 + 1 + 0) + 6 - 7*h - 6 - 18*h - 25*h + 32*h + 2).\nAnswer: 17*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/35)\/(3\/(-75)). Suppose 4*w - 4*k = -16, -3*w + 3*k = k + 8. Let h = -5 - w. Is h <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(117)*-2 + -2 - sqrt(117)) + (4*(2 + sqrt(117)) - sqrt(117)))**2*-6.\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4 - 3252635*d**3 - 32526685*d**2 - 107338425*d - 117096660 = 0 for d.\nAnswer: -4, -3, 650537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -370 - -407. Suppose -16*i + f*i = 105. Calculate the highest common factor of i and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1004 = 45*d - 346. Calculate the common denominator of 1\/(-4) + 438\/56 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(2\/67)*(z**0)**(-5) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1960*s + 28*i = -1965*s + 137, -2*s + 6*i - 14 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/25*(-16)\/((-2080)\/39)*125.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(2\/77)*h**(-28)*(h**(-2\/9))**7 assuming h is positive.\nAnswer: h**(-19114\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*h - 3409 + 2471 = 2693 + 7598 for h.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 3:49 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -16. Suppose 4*r - 4*o = 168, -3*r + z*o + o + 121 = 0. Let m = -9 + r. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 17*b**2 + 188*b - 80. Determine a(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 469.25*0.092\nAnswer: 43.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4 - 168*z**3 - 145148*z**2 - 8736240*z + 18054400 = 0. What is z?\nAnswer: -260, -70, 2, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46776, -93564, -140352?\nAnswer: -187140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -2\/21, -1 in ascending order.\nAnswer: -24, -1, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -101100011010000111?\nAnswer: 101100011010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 887\/3 > 297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + 2 - (24 + 61 - 65).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p - 9. Let f(o) = -3*o**2. Give r(f(q)).\nAnswer: 21*q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y + 5*y + 4*y)*(-2*y + y - y)*(-332 - 33 - 886).\nAnswer: 5004*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28860389 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28802 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, m: 4, q: 6}. What is prob of sequence mqqq?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + -1))*5 + (sqrt(17) - (sqrt(1377) + 2 - sqrt(17))).\nAnswer: -7*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((b**(-2\/25)\/b)\/b)\/b)**(-1\/6)\/(b**(-10)*b*(b**(6\/19)*b)\/b*b))**(-41) assuming b is positive.\nAnswer: b**(-469204\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13\/5)\/(11\/(-55)). Let g(y) = y - 1. Let w(m) = -3*m**2 - 15*m + 3. Let c(r) = -9*g(r) - w(r). Let i(d) = 7*d**2 + 13*d + 13. Give x*c(j) + 6*i(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-189)\/(-252) + (-90)\/56.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -112*r - 129. Let s be b(-2). What is the highest common factor of s and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7694 + 111384. What is b rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 41534 = -5*q, -2*q + 16616 = 38*d - 36*d. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.265 - 0.065. Let t = j + 0.3. Let x = -6 - -4. Which is the third smallest value? (a) t (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 11) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*a*p + 15936835*a + 288324689*p wrt a?\nAnswer: -8*p + 15936835","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 188 = y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 125, -851, -3483, -8599, -17027, -29595, -47131, -70463?\n\"Answer: -138*o**3 - 10*o + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32, -5, -10 in ascending order.\nAnswer: -32, -10, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 128, 257, 386, 515, 644?\n\"Answer: 129*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 102*g**3 + 101*g**3 + 297*g - 2*g**2 + 4*g**2.\nAnswer: -g**3 + 297*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 846 + 1678 + 6*y - 851. Calculate c(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65, 141, 231, 335, 453, 585, 731?\n\"Answer: 7*t**2 + 55*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -598*p + 598*p + 1452*p**2.\nAnswer: 1452*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10a24 (base 13) to base 15\nAnswer: -8e8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -3, -0.1, -1 in ascending order.\nAnswer: -3, -1, -0.1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**11)\/g**(-1))\/(g**2)**(3\/14) assuming g is positive.\nAnswer: g**(88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 9 + 33)*(-2*w + 2*w + w**2) to the form g*w**2 + n*w + z and give g.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*v - 46*v - 4*d - 175 - 297 = 0, -d = -4 for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 506222*d**4 - d + 111448.\nAnswer: 6074664*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17750.3 and -7?\nAnswer: 124252.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.19 - 22.19. Which is the second smallest value? (a) -5 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.026644541 + -0.087.\nAnswer: -0.113644541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-4))\/(4\/3))\/((-27225)\/12100).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 0.27, 22?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 6*l**2 - 3*l. Let r(t) = t**3 + 4*t**2 + 5*t + 6. Let h be r(-3). Let f(b) = 4*b**2 + 0*b - 5*b**2 + h*b. Calculate f(g(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -0.05. Let r = -32.92 - 107.18. Let l = -138.1 - r. Put 0.4, l, x, -1 in increasing order.\nAnswer: -1, x, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.20193, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.3 + -15. Let q = r + -0.3. What is the nearest to -2 in q, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 171217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 + 795*x**3 + 78597*x**2 - 493155*x + 750546 = 0. Calculate x.\nAnswer: -678, -123, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrrcrrbrr. Give prob of picking 2 c.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - u**3 - 2*u**3)*(1 + 1 - 3) + u**3 - 2*u**3 - u**3 - 946*u**3 - 130*u**3 + 197*u**3 - 16*u**3 - 7 - 5 + 13*u**3.\nAnswer: -883*u**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 8*i + 2. Let b(s) = 180*s**2 - 355*s**2 - s**3 - i + s + 174*s**2. Give b(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1314 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -2*s + 3*s. Calculate the common denominator of 875\/s + 1*-3 and (-101)\/(-6) - (-1 - 1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15768.6 - -15769. Which is the nearest to 1? (a) 4 (b) v (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 57.16913nm?\nAnswer: 0.00000000005716913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3604, -3611, -3630, -3667, -3728, -3819, -3946, -4115?\n\"Answer: -o**3 - 3603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -68*v. Let n(w) = -4*w**2. Give y(n(a)).\nAnswer: 272*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - h)*(-1 - 24 + 0) + (h - 2*h + 5*h)*(3 - 6 + 5) to the form z + t*h and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 + 10*p**4 + 30*p**3 + 40*p**2 + 25*p + 6.\nAnswer: (p + 1)**4*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -614332441\/684 - -898147. What is the common denominator of -25\/1368 and d?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -0.3, -0.4 in descending order.\nAnswer: -0.3, -0.4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -36, 0.04, 0.5, -0.04?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*l = 3*v - 8, -5*v - 22 = 3*l. Let p = 11.08 - 11.48. Sort v, p, -5, -0.1 in decreasing order.\nAnswer: -0.1, p, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5118, 10227, 15322, 20397, 25446, 30463?\nAnswer: 35442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 36*i**2 - 7*i + 15. Let r be y(-5). Calculate the highest common factor of 100 and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.2. Let r = -5.5 - -7.5. Which is the nearest to l? (a) -2\/3 (b) 2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2089 + 19*u**2 - 5*u - 2089)*(0*u**2 - 1350*u - 4*u**2 + 1353*u) to the form z*u**4 + c*u**2 + a + l*u + k*u**3 and give k.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125 + -69. Suppose 0 = 2*z - z - p. Suppose 2*a - 92 = -4*l, 0*a + z = a - 3*l. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/7, -59528, 0.9 in descending order.\nAnswer: 0.9, -16\/7, -59528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*i - 247, 7*w - 194 = 4*w + 5*i. What is the smallest common multiple of 54 and w?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1817)\/(-316)*242\/13915?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101946 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 121*n + 1714. What is the remainder when x(0) is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1877480895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 19. Calculate m(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + -1*sqrt(4900))\/(sqrt(700)*6).\nAnswer: -3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnxxxnxxxxxxxxxxxnx. Give prob of sequence nnx.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d68ff68 - 0?\nAnswer: 1d68ff68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*g - 108, g - 5*g - 56 = 2*b. Let z = -65 - -65. Is b at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5*i - 20 = 0, -10*i = 109*n - 104*n - 115 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -191, 2, 5, -2.\nAnswer: -191, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 6, v: 5}. What is prob of picking 2 v?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/3008 and 25\/1088?\nAnswer: 51136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42244 + -22242?\nAnswer: 20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 139*p**2 + 14*p + 26. Is 14 a factor of w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2401630 or 2401600?\nAnswer: 2401630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -3*c + 46. Let s = 6 + -3. Solve -s*h + 2*x = 3*x + 14, -c*h + 2*x = 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28067 and -0.05.\nAnswer: 1403.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-23))\/((-26280)\/(-30222))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*z - 2, -y = z - 3*z + 1. Let l be -2 + y\/((-12)\/(-8)). Suppose l = 5*w - 120 - 145. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1141222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 54768292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 107134565 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -316*x**2 - 5409*x - 596. Determine m(-17).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*h - 254412*a**2*h - 8*a*h + 12433849*h with respect to a.\nAnswer: 3*a**2*h - 508824*a*h - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 14 - (0 + 17) - -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4547*y**2 - 13713*y**2 - 3421*y**2 as k*y**2 + r + f*y and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19262000 rounded to the nearest 100000?\nAnswer: -19300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*d = -44, 3*d - 1 = 2. Let a be 11\/l - 12\/42. Let b = 0.01 - 0.21. What is the nearest to b in a, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (337 - 337 + 13*t)*(t + 2 - 2)*(3 - 2 + 0).\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 142682221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**6\/60 - x**5\/60 - x**4\/8 + x**3\/2 - x**2 - x + 2350. Let v(k) = -k**3 + 2*k**2 - 1. Let m be v(-1). What is g(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19190 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286419.\nAnswer: 3, 7, 23, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 95, 241, 453, 731?\nAnswer: 1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 158*q + 77. Let y be 292\/28 - (-33)\/(-77). Is w(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:59 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**4\/4 - 5*y**3\/3 + 2*y**2 + y - 4. Let s(g) = -g + 7. Let p be s(5). Suppose -z = p*z - 12. What is b(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 17*t + 10. Let j be o(8). Suppose -12 = -2*v + j*z, 1 - 45 = -5*v - 2*z. Solve -2*q - v = -6*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10356?\nAnswer: 2, 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17 + -1)\/(8*(-5)\/(-60)). Suppose -a*v - 15*v + 1287 = 0. Calculate the greatest common factor of 759 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 36*h + 98. What is l(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**4\/4 + 4*a**3\/3 + 5*a**2\/2 + 2*a - 2. Let m be f(5). Let v(x) = -6*x + 3 - 2 + 3*x. Calculate v(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1408)\/440)\/((-2)\/(-5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 110, 77, 10, -103, -274, -515, -838?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.8768 to one decimal place.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.3050277 minutes in weeks?\nAnswer: 0.001220736875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, j: 15}. What is prob of picking 2 z and 1 j?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/27 and -17\/351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 1. Suppose -3*c + 6 + 18 = 0. Suppose -c = -v - v. What is the units digit of n(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044818 rounded to 5 decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*g*k**2*q**4 - 3*g*q**3 + 2*g - 10*k**2 - 7*k with respect to q.\nAnswer: 108*g*k**2*q**3 - 9*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4312 and 4851?\nAnswer: 38808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -m - 3 + 2, -2 = 74*d + 2*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9639 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + m - 29 = 81, 4*m + 89 = 3*y. Suppose -2*f + f + a = -8, f + 2*a = y. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 6:23 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8891 - -0.1109. What is the closest to f in 0, 24, 4\/3, -0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1335101*o**4 - 9*o + 1335057*o**4 - 8*o + (0*o**4 - o**4 + 2*o**4)*(-2 - 1 + 2).\nAnswer: -45*o**4 - 17*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*y - 8*y + 6*y + (2 - 1 + 1)*(y + 4*y - 3*y).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-27)*k)**37\/(k*k*k\/(k\/(k*k**13))*k*k*k**(-22)) assuming k is positive.\nAnswer: k**(-958)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.2 (b) -12.98 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456895 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -ae?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*v + 4*z, 5*z = -17*v + 13*v - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) -4 (c) -17\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 3*h = 19*p - 21, -4*h - 11 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) -9 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5)\/20*8\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5022702 and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 532 - 47. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*h - 884 = 0, -5*s - h = -3*h - 878. What is the remainder when s is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p**2 + 9*p. Suppose -5*v + 2*v + 5 = -2*d, 6 = 3*d. Let f(q) = -v*q + q - 4*q**2 - 5*q + 2*q. Give 5*f(x) + 3*u(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/24*-4)\/(0 + 1). Let o be -1 - -2 - 3\/5. Which is the smallest value? (a) -1\/2 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29138, 29124, 29098, 29060?\n\"Answer: -6*j**2 + 4*j + 29140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50379 by -21.\nAnswer: -2399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 430\/(-55) - (-2)\/(-11). Sort i, -2, 1 in increasing order.\nAnswer: i, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11457 + 106352. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*s - 237*s = 9251 + 7733 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1 (c) 59026\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b. Let r(i) be the second derivative of 42*i**3 - 9*i + 1. What is y(r(o))?\nAnswer: -504*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y + 12. Let u(o) = -9*o - 18. Let f(k) = -3*q(k) - 2*u(k). Let b(m) = 58*m**2 - 10 + 19 - 9. Determine b(f(r)).\nAnswer: 522*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -9. Is 2\/151 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1249506 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14b26 (base 14) in base 12?\nAnswer: -25a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359, 525, 691?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + -1 + (-5 - -3). Let w(c) = 5 + 3*c - c**2 + c**3 - 7*c**2 - 2*c + c**2. Does 9 divide w(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - -150. Let a = 320 - s. Suppose a = 4*l - 2*c + 5*c, 5*c = -5*l + 185. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-240)\/(-1908))*306\/(-459)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Let h(c) = -3*c**2 - 7*c - 3. Let o(q) = -4*q**2 - 6*q - 2. Suppose -33 = 10*w - 13. Let p(z) = d*h(z) + w*o(z). Determine p(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1624 - 674.8376. Let x = 675.000975 + p. Round x to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o = 18*o. Solve -2*n + n - 5 = o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*i - 1 = -21, 0 = 3*i - 9. Suppose z = -3*z - v. Let o = z + 15. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 divided by 1919?\nAnswer: -20\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11566361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**0\/k*k*k**(-2\/3))\/((k*k\/(k*(k*k**(-2\/17)\/k)\/k))\/k**(-1\/5)))**(1\/58) assuming k is positive.\nAnswer: k**(-251\/14790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 7:46 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 + -107. Suppose -4*s - 125 - 263 = -2*x, 0 = p*x + 3*s - 831. What is the remainder when x is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 i when four letters picked without replacement from {i: 2, r: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 5*w**4\/4 + 2*w**3 - 5*w**2\/2 + 4*w - 25. Let m(g) = -5*g**3 - 7*g**2 + 6*g - 5. Give 5*h(z) + 4*m(z).\nAnswer: 5*z**3 + 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -4 - 44 - (-1 + (21 - -1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-61)\/732)\/(-2*(-1)\/4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 9689, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + (13 - -35) - -90.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 4:19 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/((-368)\/432))\/(-1*(-6)\/6).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s**3 + 28*s**2 - 42*s + 108. What are the prime factors of j(-15)?\nAnswer: 3, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from smqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-15)\/9*(-61 - (-1 + -3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1125, -220\/21 in descending order.\nAnswer: 1125, 0, -220\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -48871117883.53 + -282\nAnswer: -48871118165.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(7) + sqrt(7)))**2 + 5 + -1 + sqrt(7) + sqrt(252) + -1.\nAnswer: 7*sqrt(7) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428 = -8*w + 276. Let h = w + -67. Solve 5*q = -2*l - h, 0*q + 3*q - 4*l = -23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m + v + 1, 2*m = 5*v + 16. Put m, -4, -2 in descending order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1646\/3 + 2\/6. Suppose -23 = -4*r + k. Calculate the greatest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74737543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -9424512.\nAnswer: -471225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 165, 339, 511, 681, 849?\n\"Answer: -t**2 + 177*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 4*r**2 - 5*r - 2. Let c(g) = g**3 + 7*g**2 - 11*g - 4. Determine 4*c(s) - 9*y(s).\nAnswer: -5*s**3 - 8*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 32 - 14 - 8 - 2 - b. Give n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 760, 369, -0.5, -2\/3 in ascending order.\nAnswer: -4\/3, -2\/3, -0.5, 369, 760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -26331*x - 78438. What is j(-3)?\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.8 (b) 0.11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q - 53. Let x be u(9). Let y = 5 - 2. Let b be -10*(y + (-35)\/x). Solve 5*g + 30 = -5*z, z - 20 = b*g - 4*z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2965901 - 1100350036\/371. Let p = g - 27\/53. What is the common denominator of 43\/9 and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 w when three letters picked without replacement from wjjjjjjwjjj?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*c + 12770 = 0, 19189 = 28*l - 25*l - c. What are the prime factors of l?\nAnswer: 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2385919*v = -2385900*v - 551 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 14752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 5430?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3061700487?\nAnswer: 3, 340188943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4019910723 to the nearest integer?\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -7 (b) -12 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7092, 56742, 191506, 453942, 886608?\nAnswer: 1532062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 8)*(2 + -3). Let f(o) = -230*o + 19. Let n be f(-1). Let u = n - 246. Solve 4*v - a = k, -2*v = -u*k - 0*v + 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.23 + 14. Let f = z + 1.23. Let b be (-20)\/18*(-12)\/20. Sort f, b, 0.1 in decreasing order.\nAnswer: f, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26\/9 in -5, -4, 1.3, 0.01?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 2, 3 in decreasing order.\nAnswer: 3, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 362448589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -178 (base 11) to base 3\nAnswer: -21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(343) - (1*sqrt(343) + 5)) + sqrt(343))**2*-4.\nAnswer: -1477 + 280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*(0 + sqrt(475)) - (0 + sqrt(475)*1)**2).\nAnswer: -2375 + 75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 = 4*c - 6, 0 = -4*c + 5*j + 18. Let q(a) = -a**2 - c*a**2 + 4*a**2. Let k(x) = 2*x + x - 2*x. What is q(k(u))?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 104 (b) 0.092 (c) -4 (d) 0.5 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000111 - 101?\nAnswer: 1000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 + 21 - 12) + (8 - 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2913972?\nAnswer: 2, 3, 37, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) -4 (c) -6\/5 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -166, -3, -16786, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99728*j + 199451*j - 99723*j + 9*j**2 + 5.\nAnswer: 9*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674432760?\nAnswer: 2, 3, 5, 5620273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l**3 + l)*(10*l - 20*l + 15*l**2 + 8*l).\nAnswer: 30*l**5 - 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44476099, 44476101, 44476103?\nAnswer: 44476105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7362*m**3*r**2 - 2*m**3 + m**2*r + 546*m*r**4 - 69*m*r + 72*m + 2 wrt r?\nAnswer: 14724*m**3 + 6552*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/((-2808)\/(-27)))\/(15\/(2610\/(-6)))?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z + 134 = -230 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + -6*sqrt(133)*4 + sqrt(133) + -5*sqrt(133)*-5 + sqrt(133))\/((-1*sqrt(175)*-1 - sqrt(175) - sqrt(175)) + 3*(sqrt(175) - -2*sqrt(175))).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 75280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + -44. Let v = k + 150. Let b = 59 - v. Solve 3*h - 11 = b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**3\/3 - t**2\/2 + t - 41486. Let y(a) be the first derivative of 4*a**3\/3 + 4*a**2 - 5*a + 1. Determine -5*f(s) - y(s).\nAnswer: s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -339, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 446904.9 litres?\nAnswer: 446904900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vggv when four letters picked without replacement from {v: 8, g: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1. Suppose -4*s + 9 = 6*b - 5*b, 17 = -3*s + 4*b. Let u(y) = -3*y - 7. Determine s*u(h) + 6*f(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -2, -4\/5, 9, 4, -0.078.\nAnswer: -2, -4\/5, -2\/21, -0.078, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knar when four letters picked without replacement from {i: 1, a: 2, n: 1, r: 1, k: 1, h: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 8:39 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/8, -2\/9, 3, -88, 5, -50?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*d + 8 - 5, -4*d = y - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*d + 4*d = -440, 3*d - 768 = -9*o. Calculate the remainder when 99 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110100111011100 (base 2) to base 7\nAnswer: 142003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -7140\/19 (c) 2\/3 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -142, -617, -1490, -2827, -4694, -7157?\n\"Answer: -11*t**3 - 133*t**2 + t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 43. Calculate the highest common divisor of o and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000943 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:07 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 35 = -3*l, -38 = -3*l - 5*a + 17. Suppose 0 = 15*y + l - 240. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/2 - 31*g**2\/2 + 29*g = 0 for g.\nAnswer: 0, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 10*n - 2868 = 0. Suppose 2*u + 0*w = w + n, 0 = 5*u - 4*w - 1785. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*p + 158*p = j - 15, j = -5*p + 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -8*n. Suppose n = 2*y + 4*v - 438, -4*y = 4*v - 5*v - 885. Suppose -3*k - 5 + y = 0. Is k a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59400 = -999*k + 963*k. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167224596 divided by -65604?\nAnswer: -2549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/(70\/75*-6)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290873 is divided by 594?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-23058 + 11051 + 11537 - 14*y)*(2 - 4 + 1).\nAnswer: 14*y + 470","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8724 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 2538057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**7\/1260 - k**6\/540 - 2*k**4\/3 + 3*k. Let o(v) be the third derivative of z(v). Suppose o(b) = 0. Calculate b.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 34. Let o be (-146)\/(-14) - (-3)\/(-7). Let b = o + v. Solve -q + b = -0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(5400) - sqrt(5400)*5)\/sqrt(3))\/(sqrt(48)\/(sqrt(8) - sqrt(32)) + (sqrt(6) + sqrt(24)\/sqrt(4))*-3).\nAnswer: 2 + 40*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 299*a + 4048. What are the prime factors of y(37)?\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/8 and -76\/944877?\nAnswer: 7559016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -395.1936 - -398.2. Let x = -0.07 + -2.93. Let m = x + w. What is m rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a0a - 5792?\nAnswer: -4a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10608 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 26. Suppose 1795 = 4*m + c, -3*c = a*m - 4*c - 1348. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-20)\/36) + -2*1. Suppose q*u = 6067 + 4300. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 42. What is the smallest common multiple of (-2)\/(4\/5)*9648\/(-2010) and h(0)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 12, 9, 0, -15, -36?\n\"Answer: -3*m**2 + 12*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -779, -1563, -2343, -3119, -3891, -4659?\nAnswer: -5423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4792037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/346330 and -99\/25628420.\nAnswer: 25628420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/118322 or 10?\nAnswer: -9\/118322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 27*i + 3 - 13*i - 8*i to y*i + p*i**2 + q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*((t**(-1\/4)*t)\/t)\/t*t)**(-2\/9)*t**5*t\/(t*t*t*(t*t\/(t\/(t*t**(-1\/4)*t)*t))\/t*t)*t*t assuming t is positive.\nAnswer: t**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -27. Let d(w) = w**3 + 15*w**2 + 7*w - 8. Let s be d(-14). Let j be 2\/(-18) - (-1000)\/s. Solve -5*z + 3*m - 1 = l, -2*z - j = m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10427 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g = 4*g. Which is smaller: 7\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - -3. Let u(v) = -v**3 + 3*v**2 - v + 5. Let k be u(4). Let i = k + 21. What is the greatest common factor of i and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 43*c + 3. Let j = -16 - -19. Let x(l) = 2*l**2 + l + 1. Let h(d) = j*x(d) - t(d). Suppose h(o) = 0. Calculate o.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3370591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4791 divided by 3?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 4 - 4 - 5*g)*(-18*g - 26*g - 4*g) as b*g**2 + x + z*g and give b.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4) + -5 - sqrt(5)) + ((sqrt(120)\/sqrt(4))\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11661, -3, -5, 4, -4, -32 in increasing order.\nAnswer: -32, -5, -4, -3, 4, 11661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1529*y + 26705. What is u(17)?\nAnswer: 712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(6 + (-6960)\/1155) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001537151 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 146, -1, -4 in decreasing order.\nAnswer: 146, -1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (131 - 152)*1\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/9072 and -103\/5670.\nAnswer: 45360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84665251.9 - -3.\nAnswer: -84665248.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -78 (c) -0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 264?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6768653*k**3 - k**2 + 46630675?\nAnswer: 20305959*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (32 + -3 + 7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 671996 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 - 153 - (1 - (0 + -6)) - -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*t - 74 - 48, 0 = 3*k - 6. Which is greater: t or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*k + 2*v, -43*v + 40*v = k - 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -5. Let r = -1738 + 1743. Put r, -4, b in increasing order.\nAnswer: -4, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33.09 less than or equal to 0.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.4 and -202.886?\nAnswer: 1095.5844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 3:56 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -670, -5, 4\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 20*d**2 + 49*d + 27. Determine f(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**6\/6 + 15*l**5\/4 + 35*l**4\/6 + 75*l + 90. Let q(d) be the first derivative of b(d). Factor q(z).\nAnswer: 5*z**2*(z + 1)*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 0.0491?\nAnswer: -0.03928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565 - 565 - 4*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioo when three letters picked without replacement from {i: 2, o: 4, l: 3, b: 1, d: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 372801804.\nAnswer: 1\/186400902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/135*(-9)\/((-252)\/35).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 - -0.06. Let q = -0.00000068 + b. Round q to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22089 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = 1. Suppose -c - 4*i = -p*i - 19, -5*i - 35 = -3*c. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 738, 1250, 1762, 2274?\nAnswer: 2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 607 by -3.\nAnswer: -607\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3035, -6016, -9007, -12014, -15043, -18100, -21191, -24322?\nAnswer: -27499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (6 - (-2 + 13))) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 6*g**2 + 14*g + 1. Let r be k(3). Suppose -18*w = -19*w + 5*u - 15, -r = -4*u. Solve w*n = -17 + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h + 29. Let s be i(5). Let g = -0.5 - -0.1. Which is the second biggest value? (a) s (b) g (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 3*h**6\/8 - 7*h**5\/20 - 1057*h**3 - 28*h**2 + 119*h. What is the derivative of p(q) wrt q?\nAnswer: 135*q**2 - 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**2\/5 - 1204*z - 12056\/5 = 0.\nAnswer: -2, 1507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116045161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 9\/2)*102\/9. Solve z + 2*z - i = -4*h, -5*z = 4*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1956 + 0.0316. Let z = s + 0.163261. Round z to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.019, 2, 0.06?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 433.55562 to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 160*m + 160*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1785164 and 2.\nAnswer: 1785164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, -3, -1, -5, -21, -55, -113?\n\"Answer: -v**3 + 6*v**2 - 9*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 12003311133?\nAnswer: -12003311201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8450533.\nAnswer: 7, 13, 92863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 0, 2*w - 5*t = -0*t + 34. Let k(j) = j**2 - 24*j + 124. Let g be k(w). Solve 6*f - 5*f - g = -2*y, 5*f = 4*y - 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from gfww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**2)\/(a*a\/a**3)*a\/(a*a**5*a)*a**(-2\/3)*(a\/(a**(1\/5)\/a)*a*(a\/a**(-5))\/a*a*a*a*a)\/(a*a**1)**(-47) assuming a is positive.\nAnswer: a**(1487\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2775 is divided by 166?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 + -119. Let d be (-21)\/(-9)*14\/(-49). Is d > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 8:30 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -2*c + 14*c + 198 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 8*y - 6. Let g be n(8). Let w = 10 + g. Solve -3*s = 4*r + 1, w*s - 3*r + 8*r = -1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 3, 22 in increasing order.\nAnswer: -4, -1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 7 - 4) + -12 + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*a - 253 = 319 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 - (110 - (30 + -36))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-108*4\/16))\/(70\/15)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4337017 - 38897017 = 27*r. What is r rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 2*r**4\/3 + 710*r**2. Let x(y) = -46*y**2 - 11*y. Let n(m) = -9*m**2 - 2*m. Let k(d) = -33*n(d) + 6*x(d). What is p(k(o))?\nAnswer: 336*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6073\/3 or 16?\nAnswer: -6073\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*x + 2*g = -95*x - 2, 2*g = -2*x + 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylg when three letters picked without replacement from llkllllkklklyyklgkk.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i. Let n = 8 + -11. Let l be (0 - n - 7) + 0. Let u(r) = -r. Give l*u(v) - 3*z(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fllfl. What is prob of picking 3 l and 1 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r**3 - 306*r**2 + 610*r**2 - 304*r**2.\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - 35*y**2 - 22*y + 81. Give r(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(320) + -1 - sqrt(320))*2 + -5 + 0 + sqrt(320) - (-2 + sqrt(320) + (sqrt(320) + (2 + sqrt(320))*1 + sqrt(320) - sqrt(320)) + sqrt(320))).\nAnswer: -24*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/2 + 147*b**4 + 1710*b**3 + 5076*b**2.\nAnswer: b**2*(b + 6)**2*(b + 282)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 190 - 50. What is the common denominator of 4\/28 + 162\/g and 309\/99 - 2\/(-6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -802585 and -9525.\nAnswer: -812110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -569*b**2. Let s(z) = -z. Give s(m(o)).\nAnswer: 569*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -5. Let h = 43 - b. Is 6 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -480 + 479.93. Is c equal to 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15471, 15382, 15293, 15204?\n\"Answer: -89*o + 15560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/25? (a) -0.1 (b) -2\/5 (c) -0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 1250?\nAnswer: 27500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -63. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -7*t**4\/24 - 7*t**3\/2 - 353*t**2. Let k(v) = 2*v + 5. What is 21*k(i) + 5*q(i)?\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 2387*l**2 - 2793281*l + 2795667.\nAnswer: (l - 3247)*(l - 1)*(l + 861)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17408317 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 95a605?\nAnswer: -95a601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**6\/60 - b**5\/5 + 3*b**4\/4 - 4*b**3\/3 + 6*b**2 - 67. Solve q(i) = 0 for i.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 28 - 73. What is the remainder when o is divided by (-19)\/(-3) + (-3)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18684 by 6.\nAnswer: -3114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -133*q - 292. Determine n(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**3\/6 + 2*a**2 + a. Suppose 3*q - 14 = x, x + 13 = -x + 3*q. Let z be 1*(x + 3 + -2). Give s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908753213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmpmrtrhpzptrht. Give prob of picking 1 h and 2 t.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38627 or -38333?\nAnswer: -38627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -358, 2, 1\/3 in decreasing order.\nAnswer: 2, 1\/3, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002788 rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 5*z + 3273. Let v = z + 461. Let d = v + 339. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395389?\nAnswer: 271, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1475626526.\nAnswer: 2, 11, 19, 37, 73, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85727323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -1\/20*j**5 + 0*j + 4*j**2 + 0 + 0*j**4 + 1\/6*j**3. What is the first derivative of t(i) wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56828 minus 2?\nAnswer: -2.56828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275212433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/20 and (-5)\/(-492)*531 - 5?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (428\/3210)\/(4*2\/36)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j - 1 + 7*j - 3*j + j as p + r*j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**3 - 3*d**2 + 2*d + 1. Determine t(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871035.2cm to meters.\nAnswer: 8710.352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1505595140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3314882881 to the nearest integer?\nAnswer: 57575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 1817 - 3*d + 165.\nAnswer: -d - 1652","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*t + 48*t = 145 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56.97 - 1.03. Let i = -35 - u. What is the second smallest value in 0.5, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - 7) + 10 - (-2 - 7)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91*o**4 - 2176309*o**3 + 955962991 with respect to o.\nAnswer: 364*o**3 - 6528927*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*a + 26*a = 180*a - 497*a + 2136 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1)\/y)**(-41)\/(y*y*y**0)**33 assuming y is positive.\nAnswer: y**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -1\/30*y**7 + 0*y**5 + 0 + 0*y**3 + 0*y + 6*y**2 + 0*y**6 + 1\/6*y**4. What is the second derivative of b(h) wrt h?\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1524 - 1525 + 4578 + 2*g**2 - 1526 - 25*g to z + w*g + a*g**2 and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 14*m - 4*m + 18 to j + q*m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(-3 + sqrt(1584))*-4)**2 + -4.\nAnswer: -1152*sqrt(11) + 25484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let d(i) = -3*i**2 - 2*i + 1. Let l(c) = -d(c) - 3*r(c). Let n(o) be the first derivative of o**3\/3 + o**2\/2 - o + 4. Determine l(v) - 2*n(v).\nAnswer: v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*q + 464 = 0, -3*j = 3*q - 249 - 99. Find the third derivative of 2*u**2 + 23*u**5 + 6*u**5 + j*u - 120*u + 83*u**5 wrt u.\nAnswer: 6720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -1167.425?\nAnswer: -1167.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 121920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/2)*r*r*r)\/(r*r*(r\/r**(-8))\/r*r*r*r*r) assuming r is positive.\nAnswer: r**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(475) + sqrt(475)*-1*-3)*3)**2*-6 + 2.\nAnswer: -410398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 129154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -g + 7 + 4, 4*f - 4*g + 4 = 0. Let v = f + 7. Solve -3 = -3*c + 3*d, d = v*c - 4*c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-2)*(3 - -11). Suppose -i + w = 4*i. Suppose 175 = -2*h + i*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i - 22. Let f be h(5). Suppose -5*m = -c - f*m + 117, -5*c - 3*m = -585. Suppose -c = -11*u + 114. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-4) + (-143)\/26\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -0.2650493511?\nAnswer: -0.7650493511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 - 983 + 3*i**2 - 117 - 613.\nAnswer: 3*i**2 - 1805","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 508115530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2 and ((-2480)\/30720)\/((-3)\/(-4))?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (724\/12)\/((-16)\/(-528)) is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 + 64*g**2 - 954*g - 350. Determine s(-43).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 5*h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.094032 millilitres?\nAnswer: 0.003094032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-114) - ((-12840)\/38 + 5). What is the greatest common divisor of 74 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1066736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 641 and 385241.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12100011 + 2202112?\nAnswer: 22002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/228 and 1\/12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 238318*(156\/(-858))\/((4\/11)\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 3*i = 18, -i - 16666 - 16663 - 16658 + 49979 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 1:45 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 528*c**3 + 6*c**2 + 4*c. Let h(t) = -525*t**3 - 9*t**2 - 6*t. Determine 2*h(x) + 3*u(x).\nAnswer: 534*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1373 * 4.65.\nAnswer: -6384.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(76) - (sqrt(76) + 1 + 0)) - ((sqrt(76) + -1*sqrt(76))*-4 - (sqrt(76)*-2 + -3)))**2.\nAnswer: 16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d = -p, 0 = -3*d - 5*p. Let b(a) be the third derivative of -1\/21*a**4 + 0*a**3 - 8*a**2 + d - 1\/15*a**5 + 0*a. Factor b(l).\nAnswer: -4*l*(7*l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*k, -3*k = 5*d - k - 71. Let x be -1 + (2\/(20\/d) - 1). Put -3, x, -3\/2 in decreasing order.\nAnswer: x, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10816 and -6?\nAnswer: 64896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(((-990)\/27)\/11)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422889 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -77 (b) -2\/5 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t = 20*t + 3. Solve 2*c - 1 = t*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -2*m + 17, 13*a - 18*a - 2*m - 33 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 - 32\/9) + 21008\/36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 11*u + 20. Let z be o(9). Factor -6*n**3 + 3\/2*n + 0 + 9\/2*n**z.\nAnswer: -3*n*(n - 1)*(4*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, -0.4, 0.2, -11?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.31 + 9.31. What is the second smallest value in t, 14, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*1*(-24)\/138\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 + 21322066?\nAnswer: 21322130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/3 - i**2\/2 + 5*i - 4. Let q(h) = h**2 - h + 6. What is -3*q(g) + 4*t(g)?\nAnswer: g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*z - 58 = 0, z - 27 = -j - 2. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = 5*j - y, j - 2*y + 4*y + 45 = 0. Let n be 5\/(j\/(-24))*36\/16. Solve 0 = n*u - 8*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-36)\/(-1))\/((-42)\/(-28)). Suppose 0 - b = -4*o. Suppose -4*z = -o*z + 98. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*a**3*j**2 + 8860*a**3 + 4*a**2*j**2 - a**2*j + 7*a**2 + 2*j + 3 wrt a?\nAnswer: 294*j**2 + 53160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 143, -2, 8, 0?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90869187 to the nearest integer?\nAnswer: 9533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 4*r + 8. Suppose 0 = b + 2*b - r. Suppose 49 = h + g + 4*g, 0 = h + g - b. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrrr when four letters picked without replacement from {q: 11, r: 5}.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*3\/324*-9\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 513986791 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26475722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -7. Suppose a*m + 6 = 3*m. Suppose -3*g**4 - 6*g**m - 19*g**2 + 15*g**3 - 6 - 2*g**2 + 21*g = 0. Calculate g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 3*x**3\/2 - 4*x**2 - 39*x + 4. What is k(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/884 + 863\/2652. Let i = -20 - -25. What is the closest to w in -1\/4, -3, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 2*b**2 + 9*b**3 + 26 - 2*b - 8*b**3 - 24 to the form g*b**3 + o*b + q + k*b**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 481, -517, -2181, -4511, -7507?\n\"Answer: -333*w**2 + w + 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335858?\nAnswer: 2, 307, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.32 + 0.17705.\nAnswer: 1.49705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 976.\nAnswer: 8784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1835604 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1875271038 to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8865246 litres?\nAnswer: 886.5246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 4*d - 17. Give x(5).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpmvfqb. What is prob of picking 1 p and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 36\/541 (b) 0.0052 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30318 is divided by 842.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-81)\/2*((-4)\/1122 - 162\/1377). Factor -204\/11*k**2 + 156\/11*k**3 - j*k**4 - 30\/11 + 126\/11*k + 6\/11*k**5.\nAnswer: 6*(k - 5)*(k - 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 30*t - 30*t + 2*t**3 to the form g + w*t**3 + m*t**2 + i*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**2 + 21 - 7*p**2 + p**3 + 4*p**2 + 0*p**2 - p. Let g be b(9). Let v be g\/(-9) - (-2 + 16\/6). Let k(o) = -o - 9. Determine k(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-o + 3*o + 8*o).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**2\/7 - 425058*x\/7 - 1700136\/7.\nAnswer: -6*(x + 4)*(x + 70839)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 6*k = -0*k - 601 + 661, -4*g - k + 3*k = 28 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 270 + -172. Let q = -95 + j. Suppose -q*k - 3*m + 99 = -0*k, -2*k = -4*m - 54. Solve 5*o = -0*o - 20, -5*p + 4*o + k = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 + -112. Suppose -4*p + 1230 = -2*u, 0 = 4*p + w*u - u - 1195. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7374889\/133 + -55450. Let n = 11\/19 - x. Let o = 0.1 + 0.4. Which is the second smallest value? (a) n (b) -1\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 22 = 4. Let q(j) = j**3 + 13*j**2 + j + 12. Let s be q(u). Let t be (2 - (-4)\/6)*3\/2. Sort s, 0, t in increasing order.\nAnswer: s, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -5*p + 4*n, -3*p + 4*n = -n - 154. Suppose 395 - 107 = 4*j. Calculate the highest common divisor of p and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 21 = l, 5 = 5*l + o - 4. Let s(v) = 7*v**2 + 1. Calculate the remainder when 31 is divided by s(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -3 - (-196 - -302)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2932 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 143.\nAnswer: -4\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.9. Let w(u) = 2*u - 6. Let q be w(4). Suppose 3*d + d + 2*p + 6 = 0, 3*d + q*p = -5. What is the nearest to d in l, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -6. Solve -3*h + 2*y + 9 = 0, 3*h + 2*h = f*y + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32155907\/12 - -2676563. Let a = 3092 + j. Find the common denominator of a and -47\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**4\/36 - 19*c**3\/3 - 1083*c**2\/2 - 3*c + 65. Find f such that s(f) = 0.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 65719627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d - 175. Let s(o) = o + 34. Let g(p) = r(p) + 5*s(p). Let k(w) = 52*w - 16. What is 16*g(n) - 5*k(n)?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86701 * -0.11.\nAnswer: 9537.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*u - 25 = -9*r, -r - 3*u + 17 = 0. Let n be (r\/(-4))\/((-3)\/18). Suppose n*f - 7*f + 44 = 0. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 9 = 0, -2*t - 10 + 29 = 3*u. Let k be -19 - -23 - (30 - 27). Which is the smallest value? (a) t (b) -3\/4 (c) k (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 4. Suppose 5*x = z + 25, -4*x - 9 = 3*z + 2*z. What is c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 548 and -1.9.\nAnswer: 546.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*u + 1. Suppose -2*c + m = 3*c - 193, -u*m = 4*c - 164. Let l be 43\/3 - 13\/c. What is the highest common divisor of 42 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049686682 rounded to 3 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12752403*t*v**4 + t*v**3 + 178*t*v**2 - 1415*t*v wrt v?\nAnswer: 306057672*t*v + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0*q - 1\/48*q**4 + 0*q**3 + 1\/80*q**5 + 0 + 0*q**6 - 1\/840*q**7 - 4*q**2. Let h(i) = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - f. Let x(p) = 36*p**2 - 42*p. What is -84*r(l) + 2*x(l)?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12991 = -125*w + 114*w. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyfy. Give prob of picking 1 f and 1 y.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -2 (b) -1 (c) -1\/8 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 353.201 + -353. Let j = -0.2 + a. Let x = -0.00127 + j. Round x to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 815 - 802.351. Let g = h - -0.351. Is -1\/6 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5 + 4935585*o**4 + 19742370*o**3 + 29613570*o**2 + 19742385*o + 4935597.\nAnswer: -3*(o - 1645199)*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 4*u**2 - 2*u + 4. Let t be v(3). Suppose 0 = 3*d - 9, 3*a - 4*d = -2*d + 195. Let o = a - t. Solve -3*p - x = -0 + 2, 3*x + o = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 2\/295, 1\/10, 4\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8019 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9 = 15. Suppose -2*r = r - t. Suppose -2*f - r*f = -36. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1015 = 5*c, -5*c - 4*g - g + 1020 = 0. Let h = -134 + c. Does 33 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1349*q**6 - 24393*q**2.\nAnswer: 161880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178 is divided by 603.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + (95 - 46 - 48)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v + 43. Calculate p(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) - 4\/(-6). Let i = -164.64 + 165.14. Which is the closest to 3\/4? (a) i (b) g (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 7*h - 603 = 0. What is h rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 375074 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -111?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12978?\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 139712308 divided by -3\nAnswer: -139712308\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 20842 + 20846 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7749724391541 and 0.2.\nAnswer: 0.9749724391541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -348*m**2 - 3824*m + 17. What is n(-11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 409 - 355. What is the lowest common multiple of 8 and r?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l**4 + 3 - 5 - 2*l**2 + 13. Let p(s) = -177*s**4 - 33*s**2 + 177. Let r(y) = -33*b(y) + 2*p(y). What is the first derivative of r(f) wrt f?\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174652, -349310, -523968, -698626?\nAnswer: -873284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*l - 108*l - 104*l - 44 + 44.\nAnswer: 31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -33, -45, -55, -63?\n\"Answer: d**2 - 17*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85099657\/70 - 1215660. Let b = -317\/7 + d. Calculate the common denominator of b and 63\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 985739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(42)\/sqrt(6) + 1 + 0 + sqrt(42)\/((sqrt(36)\/sqrt(2))\/sqrt(3)))**2.\nAnswer: 6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3820812355 + 10*x**2 + 0*x**2 - 3820812355.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -486*u**3 - 2*u**2 + 136 wrt u?\nAnswer: -2916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 equal to 702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 1\/13*f**4 + 1 + 8\/13*f**2 + 1\/130*f**5 + 14*f + 4\/13*f**3. Solve d(a) = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 2*r**2 - r**2)*(12 - 12 + 2*r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40 - 10*p**3 - 14*p**3 - 34*p**3 - 15*p**3 wrt p.\nAnswer: -219*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112112212001 (base 3) to base 16.\nAnswer: 45eb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-54)*(-540)\/150)\/((-21)\/150)?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47003.\nAnswer: 11, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*u - 76*u + 192*u - 2270 = 0. Calculate the remainder when (3\/(-6))\/((-1)\/20) is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 7*h = 4*h + 13, 3*h = -5*o + 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2239*r - 395*r - 2405*r.\nAnswer: -5039*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 8*l**2 - 4*l - 3. Let a be u(6). Let i be (-4)\/(-18) + -5 + 80\/a. Let f be (-1 - -32) + (4 - (9 + i)). Is 29 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 7*g**2 - 5*g - 3. Let j be c(6). Suppose 8*r = 3*r + 525. Suppose 4*x - x - j*n - r = 0, 3*n = 5*x - 183. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v\/v**6)\/v*v*v*v*v**(-6) assuming v is positive.\nAnswer: v**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -423.82 + 423.7. Which is the closest to 2\/3? (a) 3 (b) -5 (c) q (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17454 - -41333. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 253 = -4*m - 243, -5*m - 43 = 3*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**9\/30240 + i**8\/13440 - i**4\/12 + 4*i**2. Let o(w) be the second derivative of b(w). Suppose o(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = 4*q. Suppose i - 3*y - 15 = 0, 0 = 5*i + q*y - 9 + 2. Which is the biggest value? (a) 1\/2 (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 - 2*g**2 - 7*g**2 + 2*g**2. Let b(v) be the second derivative of -v**4\/2 + 6*v. Calculate b(q(o)).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 7*u**2 - 5*u + 8. Let b be j(8). Let s = 5 - 6. List the prime factors of b + (2\/(-2))\/s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10300, -20184, -29866, -39244, -48216?\nAnswer: -56680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -169*m + 3385. Let g be d(20). Solve -5*t = g*x - 5, 2*x - 9 = t - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9926.00025055 + 9926. Round n to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m + 4. Let r(l) = -2*l - 3. Let j(v) = -3*v - 3. Let c(y) = -5*j(y) + 4*r(y). What is -5*c(a) + 4*s(a)?\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.328803676 to 3 dps.\nAnswer: -0.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9447*h**3 - 31630*h**3 - 31198*h**3 - 16596*h**3.\nAnswer: -88871*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233\/4 + -4585\/76. Let i be 2\/(-9) + (-66981)\/5130. Let m = i - z. Is -11 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*h**5 + 158*h**4 - 418*h**3 - 1462*h**2 - 1108*h - 208 = 0. What is h?\nAnswer: -13, -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*(1 - 0))\/1. Suppose -3*x = -u*x - 3. Let z be 2\/(-5)*50\/(-2). Solve 3*p = -x + z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -13. Suppose -i*k + k = 2. Let h = -9 - k. Let n(f) = -f**2 - 7*f - 7. Give n(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 - 4*a - 14. What is i(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -65364 and 3.961619.\nAnswer: -65360.038381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -9 + 3. Suppose -z*a - a = 0. What is the nearest to 2\/9 in 0.4, -5, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 plus -0.03?\nAnswer: -2.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 1)*(0*q + q + q) + (3*q - 6*q + 7*q)*(-2 + 0 - 3)*(0 - 1 + 0) to the form x*q + t and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-6 + 6 + 14)*(o**4 + o**4 - o**4).\nAnswer: -14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1305 is divided by 107.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*sqrt(2299) + (sqrt(2299) + 0 - sqrt(2299)) + 5 + -2)**2.\nAnswer: -88*sqrt(19) + 36785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 3, -17, 2 in ascending order.\nAnswer: -28, -17, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 1302.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h. Let c be i(-6). Let z be 120\/(-70) + (-2)\/7. Let l be -1 + z\/(-1) - -7. What is the greatest common factor of l and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 29*v - 1. Let z(j) be the third derivative of 5*j**4\/8 - j**3\/6 - 46*j**2 + j. Determine 3*l(g) - 5*z(g).\nAnswer: 12*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (156*i**2 - 1980 + 1980)*(5 - 3 - 3)*(4*i - 2*i + 0*i) in the form p*i + d*i**3 + c + s*i**2 and give d.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863 = -10*k + 8*k + 5*p, 2*k - 4*p = 868. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262691 times -133?\nAnswer: 34937903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 134\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 48*z - 127. Give l(4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78109.144599 - 0.144599. Let h = -78093.8069 + y. Let b = -15.2 + h. What is b rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.8 - 11. Let f = n + -4. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 3*y = q - 2, 3*q + 5 = 2*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -25*r. Suppose 2*m = 3*o - 33, -2*m - 26 = -74*o + 72*o. Let i(q) = q. Give m*i(j) + w(j).\nAnswer: -31*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 420169*g**3*s + g**3 + 2*g**2*s + 1250*g**2 + 3*g*s + 1839*g + 4*s - 2 wrt s.\nAnswer: 420169*g**3 + 2*g**2 + 3*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y - 407. Let j be f(37). Put j, -2, 5, -4 in decreasing order.\nAnswer: 5, j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 923602311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446 - 429 = 188*d + 441 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 9*m + 8. Calculate y(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 28*x = 16. Suppose -3*v + 2*v + 4*c = -60, 3*v = 3*c + 135. Let d = v + x. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2040 = -12*w + 3672. What is the highest common factor of w and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*h + 98*h + 337. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3 - -2)*(17102\/(-782) + 22).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.74 + 0.06. Let k = f - 1.1. Let x = -2.5 - -2. Which is the biggest value? (a) -5 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 17485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8125?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -48182 take away 35325.51764?\nAnswer: -83507.51764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -15, 3*j + 5*t = 523 - 160. What is the greatest common divisor of j and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3601 and 37\/4.\nAnswer: 14404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 319156543*r**6 - 239*r**2 + 2*r + 6925?\nAnswer: 38298785160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 18*c - 2. Let j be m(-18). Let s be ((-18)\/j)\/((-32)\/11 + 3). Calculate the highest common divisor of 33 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6284012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*a + 14 - 69, 0 = 5*a - 3*u - 35. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 416*n**2 + 16*n - 19. Is g(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 10*t**2 + 4*t + 204. Let o(u) = 6*u**2 + 3*u + 204. What is 2*j(d) - 3*o(d)?\nAnswer: 2*d**2 - d - 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1316)\/1034*(-52)\/364?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - 8. Let f be (2 - (3 - v - 18))*2. Suppose 35*i + 12 = f*i. Solve 5*k - 2*p - 22 = 0, -i*k + 3*p + 17 = 2*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-848)\/(-284) - 4 - -1. Let b = 133\/639 - o. Let c = 24 + -19. What is the second smallest value in b, -8, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -10*j - 2. Let d be p(-3). Suppose -8 + d = 4*y. Suppose -y*b - 9 = -34. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156014*l**2 - 156013*l**2 - 156027*l**2 + 468065*l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + c + 4. Suppose 487*r - 1870 = 113*r. Let o(f) = 2*f**2 + 2*f + 8. Calculate r*w(u) - 2*o(u).\nAnswer: u**2 + u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(70) + sqrt(70)*2 - sqrt(70) - sqrt(70)))\/(sqrt(10) + sqrt(10)*1*5) - (-3 + (sqrt(847) + (sqrt(847) - (sqrt(847) + -1)*3))**2).\nAnswer: -853 + 131*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3*u**2*w - 32*g**3*u**2 - 35*g**3*u*w + g**3*u with respect to w.\nAnswer: 2*g**3*u**2 - 35*g**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -4 + -7 + 1 - (12 + 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 3. Let o(m) be the first derivative of -3*m**2\/2 - 3*m - 3. Let f(i) = 3*g(i) - 4*o(i). Differentiate f(d) with respect to d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -5. Suppose -15 + x = -2*q. Solve q = j + 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 869253 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + -160556?\nAnswer: -160543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.368051 rounded to 2 decimal places?\nAnswer: -3.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*q - 35*q + 0*q**4 + 30*q**3 - 2*q**4 + 49 - 22*q**3 wrt q.\nAnswer: -8*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167495694.\nAnswer: 2, 3, 2039, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 614267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89\/((-73692)\/897))\/((-3)\/12)*15.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6527.8.\nAnswer: -13055.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2*p**2*t - 163391*l**2*p*t - 5*l*p**2 - 521*l*t + 158*t wrt l.\nAnswer: -6*p**2*t - 326782*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + 4*a + 2*a**2)*(-5*a + 7*a - 6*a) + (a + 0*a + 0*a)*(18*a**2 + a**2 - a**2) in the form s*a + b*a**3 + w*a**2 + p and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60492062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 37 = k + 5*j, -5*k + j = 35. What is the units digit of -1 - 4058\/k - 14\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13932 - 13932 + 40*c)*(-3*c**2 + c**2 + c**2) + 5*c**3 + 0*c**3 - 3*c**3.\nAnswer: -38*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-3)\/1)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (-61 - -81 - (-4 + 40)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158*i**2*o**2 - i**2*o - 7*i*o**2 + 941*o + 3 wrt o.\nAnswer: -316*i**2 - 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/((-171)\/18 + 9). Suppose 364 = k*j - 824. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7308 and 84796?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 447 - 889\/2. Factor -7\/2*q**3 + 0 + p*q**2 + q.\nAnswer: -q*(q - 1)*(7*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5269 and -0.3?\nAnswer: -1580.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 131 - 8*i - 374 - 10*i. Let t be m(-15). Solve 3*c = -3*d - 3, 10*d - 5*d = 3*c + t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/28 and 3899\/(-3540) + (49\/42)\/1.\nAnswer: 8260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 10:18 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47719 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (696*c**3 - 1 - 15108*c**2 + 7558*c**2 + 7552*c**2 + 2*c**4)*(3 - 1 - 3)*(7 - 4 + 8) in the form v + g*c**2 + r*c + l*c**3 + p*c**4 and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11776 + 61\nAnswer: 11837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4375 - -6664. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -49. Let n be (2\/65)\/(t\/5). Which is the closest to 1\/4? (a) -0.5 (b) n (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13131 + 13151. Calculate the greatest common factor of v and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**3 - 4*h**2 - 7*h - 4. Let m(s) = 6*s**3 + 5*s**2 + 9*s + 5. Let l(x) = -5*c(x) - 4*m(x). Let q(w) = 8*w**3 - 3*w - 1. Give 3*l(a) - q(a).\nAnswer: -5*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-6*(sqrt(55)*1 - sqrt(55)) - sqrt(55)))\/(sqrt(704)*-2).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4547178 and 7452.\nAnswer: 209170188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/159 and 55\/77592?\nAnswer: 77592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4643, 9123, 13587, 18029, 22443, 26823, 31163, 35457?\nAnswer: 39699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*b - 124*b - 96*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.5 minus 34.31?\nAnswer: -63.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -1, 0, 0.4, 11.6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (2 - -2) - (0 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -918 = 679*l - 730*l. Solve 15*u - l*u - 3*j + 3 = 0, -3*j - 21 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 8*i**2 - 7*i - 3. Give z(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 18*(-6)\/(-9). Suppose 7*c - t*c + 465 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -30, -2845*v + 4*p = -2842*v - 30. Which is the nearest to 2\/9? (a) 4 (b) 5\/44 (c) v (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -9077, 253 in decreasing order.\nAnswer: 253, 5, -3, -9077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2 + 9*o - 17. Let k(f) = 13*f**2 - 37*f + 68. Let a(r) = -2*k(r) - 9*q(r). What is the units digit of a(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1034786\/45 - 128859\/5. Let w = k + 2781. Which is the second smallest value? (a) w (b) -3 (c) 0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-312)\/104*((-3)\/(-6))\/((-2)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*p**4 + p**3*z**3 - 143*p**2*z**2 - 4*z**3 wrt p.\nAnswer: 1848*p + 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 2. Let r be j(-3). Is r less than -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.36 + 0.24. Let f = d - -0.4. Let o = -36 + 39. Which is the third 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: What is the units digit of 549861998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.3 (c) -174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13737 (base 9) in base 13?\nAnswer: -4342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.7? (a) 2 (b) -1\/4 (c) -0.6 (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 5*y - 6*y - 70)*(0*y - y + 2*y).\nAnswer: y**2 - 70*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/21 (b) 2\/41 (c) -86487 (d) 2\/23 (e) 2\/3 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:46 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012 (base 3) to base 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 373\/216 - -4\/27. Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3082 = -1933*r + 1910*r. Calculate the highest common divisor of r and 2144.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, v: 2}. What is prob of picking 2 v and 1 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39548.07061 + 1001?\nAnswer: 40549.07061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100.1? (a) 5 (b) 11 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by 47?\nAnswer: 44\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(10))\/sqrt(2) + sqrt(5))*-4.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 - 229 = 10*k. Factor -2*c + 1\/2*c**2 + k.\nAnswer: (c - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y = 12. Suppose y*v = g + 10, -3*g + 4 = 2*v + 6. Solve m + v = x, 0 = m - 0*m + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 74923 - 28?\nAnswer: 748a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 + 5*s**2 - 47*s\/3 + 11.\nAnswer: -(s - 11)*(s - 3)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 + 2*w**2 - 10*w**2)*(0 + 4 - 6) - 2 + 0*w + 80*w**2 + 4*w - 81*w**2.\nAnswer: 5*w**2 + 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101179792?\nAnswer: 2, 7, 903391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 14 - 6. Suppose 3*z + 4*y = -8 - 0, -2*y - 18 = -k*z. Suppose -z*m + 1 = -7. Solve 2*s - 6 = 2*a, -2*s - m*a + 0*a - 10 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + (-5)\/2)*(-1540)\/11. Suppose -f = -4*p + 3*d, p + 0*d - 22 = 3*d. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596141, 1192453, 1788763, 2385071, 2981377, 3577681, 4173983?\nAnswer: 4770283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.13 and -2009117.63145?\nAnswer: 2009117.76145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-35)\/(-735))\/((-1)\/(-14)). Let l(b) be the second derivative of -h*b**3 + 0 - 31\/2*b**2 + 6*b. Differentiate l(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105415 + -108261195\/1027. Let o = r + 136411\/18486. Calculate the common denominator of o and (-18)\/(-80) - 8\/(-20).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.3 or 11512?\nAnswer: 11512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30\/35 + (-408)\/(-14) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344280113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, 129, 285, 441?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17341199279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -22) + -14 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 - 72*r\/7 - 86.\nAnswer: 2*(r - 43)*(r + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 377 - 387. Let w(p) = -75*p - 32. List the prime factors of w(x).\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0*z**3 - 50*z**2 + 3\/560*z**8 - 1\/50*z**6 + 0*z - 2\/175*z**7 + 0*z**5 + 0*z**4 + 0. Factor f(j).\nAnswer: 3*j**3*(j - 2)*(3*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*l**3\/3 + 38*l**2\/3 + 4*l\/3.\nAnswer: 2*l*(l + 1)*(17*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 6*y**2 - 2*y - 8. Let x be i(-6). Let r = x - 5. What is the remainder when r\/3 + 32\/6 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2 + 3*y + 2 + 0*y. Let o(t) = -2*t + 4. Let z be o(5). Let h = 3 + z. Calculate q(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -342*l - 184*l + 8416 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.31 + 0.3. Let g = s + -1.49. Let x = g + 0. Round x to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 86*c**2 + 245*c - 330. Calculate n(-83).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 12045 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 15 = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*s - 15*s - 61, -2*l = -s - 13. Sort 2\/39, -2, -2.4, l in increasing order.\nAnswer: -2.4, -2, 2\/39, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/18 and -1\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2500 or -7502\/3?\nAnswer: -2500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u + 18316*u**2 - 18338*u**2 - 3*u to the form z + l*u + p*u**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*l - 276. Let d = 44 - l. Do 12 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzziifizzzzizizo. What is prob of sequence ziiz?\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 202244?\nAnswer: 202304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/2 - (-95)\/(-38))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a = 10*a - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 104 + 26)*(2 - 2 + 3*p**2).\nAnswer: 297*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 1)\/(2*-1). Suppose -d - d = -i. Let s(m) be the first derivative of 9*m**4\/4 - m**2 + m + 1. Determine s(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12087?\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -0*v - 2*v, 0 = 5*h - 3*v - 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25105 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l - 5. Let g(a) = a - 1. Let y(b) = 3*f(b) - 15*g(b). Let c be 3 - (2 + (-1)\/1). Let w(k) = 9*k + 0*k**2 + c*k**2 - 9*k. Determine w(y(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 925933 + -1394.\nAnswer: 924539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000026221 rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 5353*o**6\/120 + o**4\/24 + 79*o**3\/6 + 96*o**2 - o. Find the second derivative of s(c) wrt c.\nAnswer: 32118*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66957.165 milliseconds to hours.\nAnswer: 0.0185992125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdr when three letters picked without replacement from nrrindnooon.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/70 in 5\/14, 13\/3, -5?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve b = -6*b - 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2737 and 330395.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 + 4. What is y(-5)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-10) + -8*9\/(-120). Let a(d) be the second derivative of w - 1\/12*d**3 - 9*d - 1\/18*d**4 + 1\/12*d**2. Factor a(c).\nAnswer: -(c + 1)*(4*c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/(-8) - 17)*-20*(-6)\/45.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -11. Let q = 18 + n. Factor o**3 - 5*o**3 + q*o**5 + 0*o**3.\nAnswer: 4*o**3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 332 = 338. Suppose 0 = -4*m + 75 - 27. What is the highest common factor of t and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -1, -61, -2 in ascending order.\nAnswer: -61, -2, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*i**3 + 20*i**3 + 4*i**3 - 14*i**3 + i**3.\nAnswer: -73*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 2. Let w be -4 - (-4 + 0 - 4). Suppose 22 = w*t - 202. Let b = t - 57. Let g(v) = 1. Determine b*g(i) - f(i).\nAnswer: -i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1907881 and 464?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 44 = -0*v. Suppose 5*r = -2*x + v, 3*r + 0*r + 5*x = 18. Let l be (1\/(-5) + r)*15. Calculate the highest common divisor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*j**3*m**2 - 16*j**3 - 40*j**2*m**2 - j**2*m - 4*j**2 - 2*j*m**2 + 35*j + 33*m**2 - 39*m wrt m.\nAnswer: 90*j**3 - 80*j**2 - 4*j + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 6:07 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 11 = 5*z, -4*k - 5*z = k + 5. Suppose 0 = -206*x + 279 + 32 + 101. Solve k*u = 5*g - 3, x*u = g + u + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 13 + (5 - (-15 - (-3 + 3)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1772487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7 + 8 = 0. Let o(z) = z**2 - 5*z + 9. Let m be o(b). Solve -3*h = -0*h + m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 5*o - 14, 3*b = 9*o + 14 - 38 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b + 2. Let d(t) = t + 2. Let c(h) = d(h) - y(h). Let o(z) = -48*z**2. Give o(c(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 3*j + 2. Let r be f(3). Solve -o - 12 = 4*g, -3*o - r*g + 8 - 24 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -242052?\nAnswer: 242101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -1)\/((-2)\/28). Is ((-2198)\/n)\/((-1)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4743*q**3 + 12*q**2 + 1335817*q wrt q.\nAnswer: -28458*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/9)\/l**(-2\/13))\/(l*l\/(l*l**(1\/3)\/l))**(-12\/11) assuming l is positive.\nAnswer: l**(2395\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54898 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*2\/6*30. Let s(d) = -3*d**3 + 10*d**2 + 5*d - 18. Let g be s(9). Let r be g\/(-18) - (0 - 0)\/(-1). What is the highest common factor of r and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**6\/252 + z**5\/60 - z**4\/42 + z**3 + 4. Let y(v) be the third derivative of k(v). Factor y(x).\nAnswer: -2*(x - 1)*(5*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*0.0343876.\nAnswer: -0.00515814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1774.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 200, 399, 688, 1073?\nAnswer: 1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/12)\/(36\/(-32)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b + 23*b + 40*b + 800 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 312, 815, 1518?\nAnswer: 2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 2) + 1 + 1. Which is bigger: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*n - 25 = 0, -10 + 56 = 5*c - 4*n. Calculate the lowest common multiple of c and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 8*d + 11*d - 70*d - 18*d in the form v*d**3 + u + g*d + h*d**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 + 72. Suppose -q*c + 75 + 105 = 0. Solve -3*y + 19 = -2*g, c = -2*y - 3*y - 5*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-205)\/(-4) - 4\/16. Suppose -3 = 4*z - l. What is the highest common divisor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -350848*c**2. Let t(o) = -6*o. Give m(t(v)).\nAnswer: -12630528*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(51)\/sqrt(3) + sqrt(17))*3)**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14755 is divided by 133.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 4892 + 4892.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: Suppose -8*o + 50 = -30. Suppose o = -28*u + 33*u. Suppose -7*p - 42 = -3*h - u*p, -2*h - p + 15 = 0. Calculate the remainder when 24 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -16, -55, -120, -217, -352?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 9*p**2 + 99*p + 63. Give b(-15).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 232595.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15805 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3294*w**2 - 13*w - 67.\nAnswer: 6588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768470002 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1316 or 1326?\nAnswer: 1326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39.6 - 39.7. What is the nearest to h in 4, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + l = 20, 54*x - 22 = 50*x - 2*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(77) + sqrt(77) + sqrt(77) + (sqrt(77) + 1*sqrt(77)*-5 - sqrt(77))))\/(-6*sqrt(77)\/sqrt(44)) + -5.\nAnswer: -2*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -c6167 (base 16) in base 3?\nAnswer: -1112012222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 2:05 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 44*c**2 + 124*c - 27. Determine g(41).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 27 = 2*o - 0*u, 4*o - 4*u - 44 = 0. Let g(a) = -3*a + 32. Let l be g(o). Let z(k) be the first derivative of -k**2\/2 - 5*k + 8. What is z(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.6 and -241244 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l**2 - 7*l - 10. Let g(r) = -10*r**2 - 5*r - 11. Let h(x) = -3*g(x) + 2*s(x). Is h(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 1805*m**3\/3 + 668*m**2 + 2*m + 1951. Find the second derivative of g(z) wrt z.\nAnswer: 3610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**4 - k**3 + 4*k + 37. What are the prime factors of o(-3)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwepupwpwpo.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -24. Let x = 55 + -33. Calculate the least common multiple of (108\/g)\/((-3)\/(-8)) and x.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlvmvizul. What is prob of picking 1 z and 1 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeze. Give prob of sequence zee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**2 - 14*z + 57. Suppose -480*u - 15 = -477*u. Let h be r(u). Find f such that 1\/7*f**h + 25\/7 - 10\/7*f = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 19*y + 1. Let j be z(19). Let c = 3 + 2. Suppose 8 = c*q - 12. Put 5, j, q in decreasing order.\nAnswer: 5, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4261438 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32507060?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -23\/210*n**7 + 0*n - 19*n**2 + 0 + 0*n**3 + 0*n**4 - 7\/20*n**5 + 0*n**6. Find the third derivative of z(m) wrt m.\nAnswer: -552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278059208 to the nearest integer?\nAnswer: 16675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261153672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 6*f + 2. Let t be k(0). Let s(r) = -2*r - 5. Let b be s(-5). Suppose 10 = -t*q - 3*q + b*c, 14 = -3*q + 5*c. Is q < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/21852 or -1?\nAnswer: 1\/21852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6630 less than -6630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 7:10 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*u**5 - 222379*u**2 + 87287*u - 21 wrt u?\nAnswer: -140*u**3 - 444758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75434 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 646 - 645. Let m(p) = -2*p - 2. Let f(x) be the third derivative of x**4\/24 + 6*x**2. Calculate s*m(g) + 3*f(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 14 = -10. Suppose -12 = 7*w + 2. Let x be ((-2)\/(-8))\/(w\/p). Solve -h - x = 2*c, -3*c + 5 = -h - 7*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(6\/(-4) - -1) + 40. What is the greatest common factor of 110 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 46?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 685136 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(-18 - 315\/(-24))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 = -u + 3*u, -5*o + 4*u + 5 = 0. Which is the nearest to 2\/3? (a) 5 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 10. Let w(z) = 10*z**2 - z. Let q be w(a). Let k be 167\/6 + (-7)\/(-42). Calculate the highest common factor of q and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-68)\/238)\/((-183)\/714). Is q < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -29. Suppose 0 = n - 0*n - v. Solve -t + 3*t - n = 3*m, 0 = 3*t + 5*m - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/((-816)\/578) - 2\/(-4). Let a(y) be the first derivative of u*y + 15\/2*y**2 + 5. Differentiate a(v) with respect to v.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 9*q**2 + 61*q + 133. Calculate l(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*j = 70, 0 = 2*r + 5*j + 1 + 27. Let g = r + 14. Solve i + 0*h - 4*h + 15 = g, -i + h = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-816)\/30)\/(-4 - 119\/(-30)). Suppose 2*o = -2*r + h, 5*o - 1706 = -r + 346. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -259, -509, -737, -931, -1079, -1169?\n\"Answer: 2*f**3 - f**2 - 261*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 2)*(1 + 1 + 0) - 1 - 8 - 4 + (3 - 3 - 3)*(4 + 3 - 5) + 6 - 3 - 2)*(-3*d + d + 0*d)*(3*d**3 - 5*d**4 + d**4 + 6*d**4).\nAnswer: 88*d**5 + 132*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 + 3360*w**2 - 13485*w - 17. Calculate u(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1080 and 38520?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 15 = 0, 2*q - 2 = -4*o + 2*o. Suppose 6*w - 52 - 56 = 0. Calculate the remainder when w is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x**4 - 268*x**3 - 1544*x**2 - 1872*x + 2016 = 0.\nAnswer: -14, -6, -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3.1. Let c be -2 - 9\/((-126)\/32). What is the nearest to q in -0.4, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/22)\/(4500\/49500)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 22\/185?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 225, -2\/141, 2, 0.3, -393 in decreasing order.\nAnswer: 225, 2, 0.3, -2\/141, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 1480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, m: 11, d: 1}. Give prob of picking 1 d and 3 m.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332275*b - 332341*b = 4092 for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = d + 2*t - 17, 3*d = 5*t + 18. Let b = 1 + d. Solve 4*z + r - 5*r = b, -1 = -3*z - 5*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -671 by 61.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/60235129 or -1?\nAnswer: 3\/60235129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.09 (b) -5 (c) -3\/5 (d) 0 (e) 42 (f) 187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6, -3*r + 12 + 3 = 3*b. Suppose -r*x = 1425728 - 14505738. Suppose 2*z = 6*z + 2*y - 8719998, -x = -3*z + 5*y. Round z to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 26*x**3 + 7*x**2. Let n(a) = -6*a**3 + 31*a**2 + 4*a**3 - 15*a**3 - 36*a**2. Give -7*n(y) - 5*u(y).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 842754 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -25*l**3 - 7*l - 7*l**3 + 2*l + 8 + 50*l**3 - 10*l**3 - 3*l**2 - 7*l**3. Let f = 11 - 7. What is w(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:21 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25328013*o**3 - 301761816*o**2.\nAnswer: 151968078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159633996*s**2 + 77372241*s - 1 wrt s?\nAnswer: -319267992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 6 + 8 = -17. Let g(l) = 3*l**2 - 6. Let t(x) = x**3 + 1. Calculate v*g(j) - 6*t(j).\nAnswer: -6*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*m - 18 = -6, -6 = 3*c - 2*m. Suppose c = -6*y + 4*y. Suppose -2*r + 9 = r. Solve -5*i + r + 2 = y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 - 113. Let u be (-3 - r) + (3 + 15)*1. What is the highest common factor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**7\/2940 - r**6\/630 - r**5\/420 + r**4\/42 - 2*r**3 - 6. Let j(q) be the third derivative of v(q). Factor j(z).\nAnswer: 2*(z - 2)*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94548886 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(192) - (sqrt(192) + 1))*-4 + sqrt(192) + sqrt(192) + -1 + -5 - (-1 + 2*sqrt(192))*-3))**2.\nAnswer: -896*sqrt(3) + 12337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005302766 rounded to six decimal places?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215274?\nAnswer: 2, 3, 35879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2722\/2131 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:43 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*a = 5*s - 11752, 0 = -5*s - 3*a + 14666. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/(-4) - -2 - ((-210)\/40)\/7. Sort 99, z, -5.\nAnswer: -5, z, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233888240.\nAnswer: 2, 5, 661, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1943122, 3886220, 5829316, 7772410?\nAnswer: 9715502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/(-11) + 10\/(-3 + 2). Is x - (40273\/46)\/(1\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**5\/2 - 345*l**4 - 3375*l**3\/2.\nAnswer: -3*l**3*(l + 5)*(l + 225)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -212*h - 13. Let i be k(3). Let q = -622 - i. What is the remainder when 155 is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4531 * -2.4.\nAnswer: 10874.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*c + 2*y, 2*c = -3*c - 5*y - 35 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18256222, -18256223, -18256224?\n\"Answer: -x - 18256221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b - 30. Let f = b + -6. Suppose 4*g - 5*q = g + 5, f = -2*g + 5*q. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.056 minus 146952?\nAnswer: -146807.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37.7025 and 0.3.\nAnswer: 38.0025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-6)*(-9042)\/(-1547689)\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80880162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 187 = -186. Differentiate -2 - g + 40*d - 21*d - 4*d with respect to d.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-362)\/(-12))\/(13\/156)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6745 is divided by 479?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*l**2 - 203*l wrt l.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 3*t**2 + 9*t - 18. Let i be r(4). Let h(m) = -2*m**i - 3*m**2 - 12*m**2. Let o(p) = -2 + 2 - 2*p. Give h(o(c)).\nAnswer: -68*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 12212001?\nAnswer: 12212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5. What are the prime factors of (j - 11)*(-1)\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1912 = -5*a + 14642, 2*p = -2*a + 6636. List the prime factors of a.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 13 = 3*g - 2, 4*g - 17 = -j. Are j and -2\/1577 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -339 + 695 - 2*v**2 + 841 + 160 to the form x*v**2 + o + q*v and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4374169469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 3*i + 5*i. Let g(b) = 3*b. Determine y(g(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x - 5*u + 3, 0 = 3*x - 4*u - 3. Is 9 a factor of ((-2)\/(-2)*20)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 + -0.94. Suppose 0*z + z + 86 = -2*o, 2*z + 3*o = -171. Let a be (7\/z)\/(2\/(-6)). What is the second biggest value in a, 0.06, c?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101011110100111 (base 2) to base 9.\nAnswer: -83651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*j**2 + 7 - 18546*j + 9278*j + 9271*j)*(-4*j + 4*j**2 + 4*j) to the form s + i*j**4 + r*j + t*j**3 + n*j**2 and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18976 and 96?\nAnswer: 56928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115 + 18*h - 62 - 54 + 3*h**2 to the form w*h**2 + u*h + d and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.59 - 0.81. Let n = -9.3 - l. Suppose 0 = -9*j + 4*j - 15. Which is the smallest value? (a) -3\/4 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {x: 3, p: 2, k: 4, r: 1, g: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4208)\/(-7) + ((-4)\/2)\/14?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 10*m**2 + 53*m + 47. What is the tens digit of w(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 405900 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 + 0 + 1) - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91939*w**2 + 111984*w**2 + 188395*w**2.\nAnswer: 208440*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n + 60. Suppose 0 = -z + 6*z + n. Let c be -15 - -16 - 4\/1. Is c smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -f + 26, 2*f - 3*f + 2*b + 14 = 0. Solve 0 = 5*c + p + f, 0 = -c + 2*p - 2 + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011812739 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*w + 4, 0 = 3*h - h + w + 13. Let a(p) = p**3 + 4*p**2 - 4*p + 7. Let b(z) = -z**2 + z. Let f(y) = -a(y) + b(y). Give f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w**3 - 97*w**2 - 12*w = 0 for w.\nAnswer: -3\/25, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20061539 is divided by 1746.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + -68. Suppose 4*u + 4*n - 15 = -3, 2*u - 24 = t*n. Suppose -u*r - 171 = -9*r. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1771 or 1711?\nAnswer: 1771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*p*v**4 + 9*p*v**2 - 154*p + 3*v**4 wrt v.\nAnswer: -24*p*v**3 + 18*p*v + 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806 = 522868*q - 522894*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(102) + 1*sqrt(102)))\/(sqrt(12)\/(sqrt(8) + sqrt(2) - sqrt(2))).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 259039.9 millilitres?\nAnswer: 259.0399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.49624 from -17679207.3.\nAnswer: -17679195.80376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -39. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184405 is divided by 26329.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408 and 6069.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 5*m - 11. Let a be 1 - (-39)\/m - 3. Let c = 39 - a. Calculate the smallest common multiple of 1 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68847500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(7) + sqrt(70)\/(sqrt(10) - sqrt(160)) - ((sqrt(252) + sqrt(252) + -2)**2 + -5))*-1.\nAnswer: -146*sqrt(7)\/3 + 1010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5801.04 - -0.61.\nAnswer: -5800.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126.7 + 126.8. Which is the third biggest value? (a) k (b) 0.146 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 + -120 - (0 + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 20*g = 24*g + 26, -2*o + 1 = g. Solve 2*u = -u + 5*a + o, 2*a + 10 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 119786381?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4*i + 0*i)*(3*i - 6*i + i) + (0*i - 2*i - 5*i)*(i - 6*i + i).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 - 4*b - 13. List the prime factors of z(-7).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 s when four letters picked without replacement from {b: 6, f: 1, t: 3, s: 4}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-3))\/(9*8\/612).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -158, -315, -472, -629, -786, -943?\n\"Answer: -157*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2011112212221 (base 3) to base 5\nAnswer: -243334331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 41*m = -140. Suppose 4*q = 2 - m, 0 = 4*z + 2*q - 8. Solve 0 + 1\/4*b**4 - 1\/4*b + 1\/4*b**z - 1\/4*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 2*o**2 + 2*o + 4*o + 2*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5625 divided by 125\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2667*s + 18 = -5*d + 2665*s, -3*d + 3*s = 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjdzdzdd. What is prob of sequence dd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**2 - 470*b - 552*b + 1179*b. Let a(f) = -3*f. Give a(n(t)).\nAnswer: 18*t**2 - 471*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78483.\nAnswer: 3, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 13, c: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -154 + 154.061. Let f = -0.0904 - -0.03036. Let n = f + s. What is n rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -68, -106?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22058 and 807.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (727\/2)\/((2 + -5)\/(-6)). Suppose -4927 = -10*p - s. What are the prime factors of p?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.8 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-1\/9)*f)\/f)\/f)\/f**(-2\/3))**10 assuming f is positive.\nAnswer: f**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -2, 0 in descending order.\nAnswer: 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104445 + -8.\nAnswer: -104453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 262, 552, 888, 1282, 1746, 2292?\n\"Answer: 2*k**3 + 11*k**2 + 243*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from rnsnrzzzsznnnzs?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -50*g - 9\/11*g**2 + 0 - 1\/165*g**6 + 5\/33*g**4 - 8\/33*g**3 + 4\/55*g**5. Suppose y(i) = 0. What is i?\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weyw when four letters picked without replacement from ykvuwkvwukuuekwuuu?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -295, -297, -299, -301, -303?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63560102*p**3*z**3 - 24*p**3*z**2 - 17*p**3 + 2*p**2*z**2 + 2*p*z**2 + 1240*z**2 wrt z?\nAnswer: 381360612*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by -808.\nAnswer: -23\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5537.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + 11*a + 26. Suppose -10*i = -8*i + 12. What is the tens digit of z(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5442*l - 59864. Determine p(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 10, m: 3}. What is prob of sequence im?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 102141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - c - 2. Let t = 3 - 7. Let i be k(t). Suppose 0*g - 2*g = -i. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 88 - 22 = 0. Calculate the remainder when 227 is divided by 1 + l + -80 + 85.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2110 - -20320523?\nAnswer: 20323033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 1 = -0*m + m, g - 2 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1567 + 1684. What is the remainder when 331 is divided by w?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*y - 5*g - 5, -4*g = 12. Let w = -53 - -55. Which is the nearest to 1\/4? (a) w (b) y (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 139647 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 697837\/286 - 2440. Find the common denominator of o and 103\/138.\nAnswer: 19734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 4 + q + 4.\nAnswer: -4*q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a microgram in nanograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135575 - 271147\/2. Let m be (-11)\/(-4) - (-1)\/4. Which is the second smallest value? (a) m (b) 0.5 (c) r (d) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, b: 5}. Give prob of sequence bbii.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8217796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 150 = 5*c. Suppose -72 = -4*z + 2*r, 3*z - 23 - c = 2*r. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (13 + (-39 - -35))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/(-65))\/9*(39\/18 - 3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 13 = -14. Let x = -4 - m. Let o(d) = -d**3 + 2*d**2 + 4*d - 5. Let c(h) = 2*h**3 - 3*h**2 - 8*h + 11. Let i(f) = -2*c(f) - 5*o(f). Determine i(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/1 + 5 + (-1 - -3). Let k be 4\/(o\/(-12)*-2). Solve p + k = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1180, 4867, 10922, 19345, 30136, 43295, 58822?\n\"Answer: 1184*s**2 + 135*s - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44501.\nAnswer: 44501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 181711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 + 77.999947. Round r to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9 - k**2 + 29*k + 2*k**2 - 11*k + 2. Let p be x(-9). Calculate the remainder when (-4 + 1)\/3*p is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(19)*3) + (-1 + -3*sqrt(931))**2.\nAnswer: 51*sqrt(19) + 8383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 + 4*t**3 + 23*t**3 - 54*t**3 as n + p*t**3 + q*t + k*t**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 7:26 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4662*j + 5*j**2 - 9331*j - 3*j**2 + 4*j**3 + 4709*j - 2*j**2.\nAnswer: 4*j**3 + 40*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -23\/871, -3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02218 - -0.02218. Which is the nearest to v? (a) -2.2 (b) -2\/5 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68*(-64)\/(-1024)*-1*6*(-12)\/(-9)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2435*f**2 - 7270*f**2 + 2420*f**2 + 2422*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5301049*v**2*z + 2730937*v**2 wrt z?\nAnswer: 5301049*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56039\/2226 + 3\/371. Let s = 47803 + -3441911\/72. Find the common denominator of p and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -2, 4, -3, -5 in increasing order.\nAnswer: -120, -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-522)\/609*(0 + 7))\/339.\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -293962, 19, -2 in increasing order.\nAnswer: -293962, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**5 - 534762*l**4 - 6*l**2 + 1670*l + 16.\nAnswer: -120*l**2 - 12834288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 94.2, -2, 3\/4, 2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8520029.\nAnswer: 7, 1217147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*c + 55*c + 3*c**2 - 227*c + 59*c - 183 + 56*c to l + z*c + n*c**2 and give l.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 53*m**2 - 114*m**2 + 57*m**2. Suppose -3*t = -4*t + 3. Let a(d) = 0 + 0 + t*d - 5*d. Calculate a(z(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68*8.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(208) + 2) + sqrt(2548) + -5.\nAnswer: 1 + 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 2*m - 2*m + 7 - 2 - m + 2*m + (-2*m - m + 4*m)*(-1 + 4 - 1).\nAnswer: -m + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 4.03, -3760 in increasing order.\nAnswer: -3760, 3\/4, 4.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183740 - 926260 = -240*x. Calculate the highest common divisor of 74 and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41443 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 664062 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: Solve -549*d - 8095 - 5175 = 63*d + 10598 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1000?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -cb4193 (base 13) in base 16?\nAnswer: -48eb0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 = -0*m. Let a(x) = x**3 - 4*x + 1. Let g(n) = -n**3 + 3*n. Give m*a(l) + 3*g(l).\nAnswer: -l**3 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 24*t - 45 = 0. Let a(r) = -r**3 + 8*r**2 + 10*r - 8. Determine a(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(208)*-4 + -3 + 0.\nAnswer: -16*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2. Let h(w) = 17 + 20 + 21 - 7*w - 57. What is h(u(r))?\nAnswer: 14*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 1. Let t be (-3)\/(2 + -1) + 2. What is the units digit of f(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 12 + 0 + -18 - -9) + 6 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*u - u**2 - 386*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/7)*q**10*q*(q\/(q*q**(-2\/29)))**(-7))**31 assuming q is positive.\nAnswer: q**(67084\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5194\/(2 - 0) - -3. Suppose d + 3*d - q = 0. Suppose -2*x - d = -4*s, -308 - 184 = -3*s + 3*x. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -159*p + 168. What is the lowest common multiple of j(-2) and 24?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -527, -1051, -1573, -2093, -2611, -3127, -3641?\nAnswer: -4153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:14 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, and 1 v when three letters picked without replacement from vlzbpalllpbpllplzz.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 2*n**2 - n - 4. Let j be y(0). Put -279, j, 4, 2 in descending order.\nAnswer: 4, 2, j, -279","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2 (b) 2\/13 (c) 5 (d) -2\/807 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*c**2 + 19*c**2 - 15*c + 3*c**2 - 3*c**3 - 34*c**2 as x*c + o*c**2 + b + a*c**3 and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skksksf. What is prob of picking 1 f and 2 k?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233 + 233 - 11853*o**2 - 2*o - 15465*o**2.\nAnswer: -27318*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/29 and 6\/24 - 1745\/5220?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -15. What is the nearest to -1 in t, 2\/7, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2187*r - 5 + 6 - 1.\nAnswer: 2187*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y - 6. Let i be n(-4). Suppose j + j - i = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-24) + (-2)\/8)*(-12)\/(-24). Solve s = -m, 5*r + 4*r + 3*m = 11*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -970511\/17374 + 7\/2482. Let q = 56 + n. Let v = -1.2 + 2.3. Which is the third biggest value? (a) v (b) q (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c - 170 = -248 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((-16)\/10)\/(34\/170). Is h at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*q + 17, 0 = 3*q - 5*j - 7 - 0. Find the third derivative of 59*i**2 + 51*i**2 - 8*i**q - 125*i**2 wrt i.\nAnswer: -192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 11}. What is prob of sequence zzd?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -1\/30*v**5 + 0*v**3 + 0*v + 1\/6*v**4 + 0 - 7*v**2 - 1\/60*v**6. Find d, given that b(d) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 943*m**3 - 945*m**3 - 8.\nAnswer: -2*m**3 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t - 9. Let m(j) be the first derivative of 7*j**2\/2 + 12*j - 50. Let o(w) = -3*m(w) - 4*q(w). Let h(n) = -n - 8*n - 2*n. Determine o(h(z)).\nAnswer: -33*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 68*n + 13. Let g(f) = -20*f - 1. Let t(h) = 2*g(h) + s(h). Give t(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207896 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**5\/30 + 18*b**2. Let z(l) be the first derivative of -l**3\/3 + 1. What is p(z(r))?\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 2*l - 145*l**4 + l + 146*l**4 - 3*l**2 - 2 + l**2 as t*l**4 + g*l + d*l**3 + u + j*l**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23929, 47861, 71793, 95725, 119657?\n\"Answer: 23932*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 35*j + 3 + 19*j + 1.\nAnswer: 54*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111000 + 111100110111110?\nAnswer: 111101010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*o = -75*o. Let w = 47 + -24. Suppose o = z + 9 - w. What is the remainder when 26 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**5\/10 - a**4\/2 + 2*a**3\/3 + 5*a**2\/2 - 8*a. What is the units digit of k(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3803.99997581 - 3804. Round m to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 347 + -345.1. Which is the closest to -1? (a) 0.4 (b) -4 (c) w (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 960\/(-27200)*10\/1?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-3))\/(-5))\/((-40)\/(-15))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 greater than or equal to -181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-15))\/(4*11\/(-66))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 936444 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13150772 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-32\/9)*l\/(l**(4\/27)*l))**(-1) assuming l is positive.\nAnswer: l**(100\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-37851)\/341*(-8 - -1) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.3 + -35.7. Let d = y + 46. Let m = -13\/17 - -177\/187. What is the closest to -1\/3 in d, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1077*-5.3.\nAnswer: -0.57081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**4 - 9*t**4 - 5*t**4 + 4*t**4 - 3*t**4 + 4*t**4 + 3*t**4 + 4*t**4 - 5*t**4 + 4*t**3 - t**4 - 4*t**3 + (0*t**3 + 5*t**3 - 3*t**3)*(2*t - 2*t + 3*t).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/52 and 20\/91.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -131, -196, -259, -320?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + t = 17, m - 3 - 10 = -5*t. Solve -13 - 5 = 3*z - m*i, 5*z - i = -22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233.4628 nanoseconds in minutes?\nAnswer: 0.00000003722438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(960))\/sqrt(12).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 8:33 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 74\/(-2) - (-2 - 4). Suppose 0 = 4*b - 2*m - 150, 108 = 3*b - 0*b + 3*m. Let q = v + b. What is the smallest common multiple of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011101100001000100100 (base 2) in base 9?\nAnswer: 14583007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*p - 57*p + 219 + 396. Solve 16*q - 33 = p*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -10 - 8. Let k = -16 - -31. Let i be (-26)\/p + 10\/k. Solve 0 = -4*a + 2*b - 10, a + 1 = -i*b - 29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -122, -3, 8, 246 in increasing order.\nAnswer: -122, -5, -3, 3, 8, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/60 - o**3\/6 - 2*o**2 - 24*o + 2. Let w(v) be the second derivative of i(v). Let c(m) = -150*m. Give w(c(l)).\nAnswer: -300*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*w**3 + 5*w**2 + 0 - 25\/2*w.\nAnswer: -w*(w - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -135696 and -6784.429?\nAnswer: 128911.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -14, -55, -134, -263?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 36*f**2 - 167*f + 252. Let w be h(-7). Which is smaller: w or -54\/439?\nAnswer: -54\/439","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1198 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/3756482 and -79\/26?\nAnswer: 48834266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 99.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -645, -0.4, -151\/341 in increasing order.\nAnswer: -645, -151\/341, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + s + 1. Let x(p) = -4*p**2 + 2*p + 5. Determine 3*n(g) - x(g).\nAnswer: g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -23. Suppose -m + 41 = -c. Calculate the remainder when m is divided by 0 + 13 + (-2)\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 0*k**2 - 2\/5*k**3 + 2\/15*k**4 + 19 + 3*k + 1\/5*k**5. Factor m(y).\nAnswer: 4*y*(y + 1)*(5*y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 4530113?\nAnswer: -4530117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g. Let v(i) = 3*i - 98 + 186 - 88. What is -10*s(a) - 6*v(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 81\/4 + 13\/4*a**4 + 189\/4*a + 81\/2*a**2 + 1\/4*a**5 + 33\/2*a**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 33*(-3)\/3. Let g = h - -37. Let w(i) = 1 + 5 - 4 + i. Give w(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 6*s**2 - 9. Let y be 3 + ((-38)\/4 - (-4)\/8). Let v be q(y). Which is the nearest to 0? (a) v (b) -1\/8 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13490 + 13490. Let s(y) be the third derivative of 1\/12*y**4 + l*y + 47*y**2 - 3\/2*y**3 + 0. What is s(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8267676 is divided by 917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*l**3*p + 6*b**2*l**3 - 11*b**2*l - 5*b**2*p**2 + b*l**2*p**2 - 38*l**3*p**2 + 3*l**2*p**2 + 2*l*p wrt l.\nAnswer: 12*b**2*p + 36*b**2 - 228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1726 - f**2 + 16*f - 1724 + f**3 - 17*f + 3451. Let y(g) = -8*g**3 + 5*g**2 + 6*g - 6. Give 6*q(b) + y(b).\nAnswer: -2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 3}. What is prob of sequence rjr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + (sqrt(190) - sqrt(190)*-1))*-1)\/(sqrt(10) + sqrt(10)*2*-6))**2.\nAnswer: 171\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2555 + -2551.167. Let s = r + -3.66. Round s to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -420*a**3 + 309*a wrt a.\nAnswer: -2520*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(3*sqrt(11)) - (sqrt(2) - (sqrt(24)*1)\/sqrt(12)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2 + 7*i**2 - 3 + 3*i + 0. Let p(f) = -5*f - 25. Let n be p(-6). Is b(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442350 (base 9) to base 13.\nAnswer: -93330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**4\/4 - 4*p**3\/3 - 3*p**2 + 5*p + 3. Let r be y(5). Calculate the remainder when (r + 30)\/(-2 - -4) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0716 + -0.1215. What is t rounded to 3 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -92775*c - 71. Let j be w(-4). Let p = 723029 - j. What is p rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2461*f**3 - 612*f**3 - 3 + 3 - 621*f**3 - 619*f**3 - 599*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/((-43)\/301)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1138943*y**3 - 1345301*y**3 + 257711*y**3 - 5475665*y**3.\nAnswer: -7702198*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -11001?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*i + 1, 3*y = -y - 2*i + 62. Let s(p) = p**2 + 8*p - 31. Let c be s(y). Let l = -168 + c. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 - 158.00188. Round k to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 9. Let q = u - 9.2. Which is the second smallest value? (a) -5 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 13*y + 9*y - 547.\nAnswer: -4*y - 547","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a milligram in micrograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 7*b + 25. Let a(o) = -3*o + 4*o**2 - 1 + 0*o + b + 5*o. Calculate the remainder when a(-3) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 6. Suppose 5*d + 3 = t*d. Suppose -29*o - d = -32*o. What is the highest common divisor of 15 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8730 - -17261. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2207.18 - 2206. Let t = 7 - 22\/3. What is the third smallest value in -1, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117) + -1))**2*-1*1.\nAnswer: -2950 + 150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 56*g**2 + 1382*g - 156. Determine a(16).\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 2. Let r be b(-6). Let s = -14 + r. Let m be (-4)\/12 + (-20)\/s. Let g(x) = x - 2. Determine g(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 7*q - 4. Let b be p(9). Suppose 12*k - 3332 + 224 = 0. Let y = b + k. List the prime factors of y.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)\/(-1*sqrt(7)))\/(sqrt(18)\/sqrt(8)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**3 - 21*l**3 + 41*l**3 - 10*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1478 - -1566. What is the lowest common multiple of n and 80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3d43 (base 15) to base 3\nAnswer: 122222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-13 + 1) - 16 - (-17 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-8)*t**10*t**(-3\/2)*t*t**2 assuming t is positive.\nAnswer: t**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -705086.\nAnswer: 705086.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 - -21.2. Let r = y - 10. Which is the closest to 0? (a) -1 (b) 2\/15 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c2 (base 15) in base 7?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -1 + -5)*135\/(-162). Suppose 52 = -i*g + 72. What is the remainder when 47 is divided by (-2)\/(-8) + 31\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(-1 + 0 + 4)*(-4*t**3 - t**3 + 4*t**3) + (-26 + 3*t + 26)*(-3*t**2 + 2*t**2 + 0*t**2) to the form b + q*t + a*t**2 + s*t**3 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6*u = -154. Let k = 194 + -77. Suppose 0 = -4*r - 9 + k. What is the remainder when r is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7362, -152 in increasing order.\nAnswer: -7362, -152, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.1793 rounded to two decimal places?\nAnswer: -20.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.022, 846, 3?\nAnswer: 846","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*f + 33 + 47, -f - 5*p = 12. Suppose -3*j + 0*j + 24 = 3*c, -c + f = 2*j. Let v(g) = g**2 - 3. Give v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -8 - (-1 + -1)) + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4 + (-1 + 1 - 1)*(-1 - 5 + 4) - 3 - 15 + 2)*(-85 + 85 + 27*u**2).\nAnswer: -459*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(5\/35 + 0). Let y be (-49)\/m*(-32)\/(-28). Solve -b = x + 7, 0*b = -2*x - y*b - 24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 2923488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20754735 and 1842.\nAnswer: 41509470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 675*v**3 - 3870*v**2 - 1068*v - 72.\nAnswer: 3*(v - 6)*(15*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 9*q**2 - 6*q - 15. Calculate x(-6).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-1 - (-8)\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 8, 2 in ascending order.\nAnswer: -4, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 7:33 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2546 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*4.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**3 + 4*h**2 - 4*h. Let x(q) = -q**3 - q**2 + q. Suppose 0 = -3*g + 1 - 7. Let p = 1 + g. What is p*k(u) - 4*x(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/75 + 740\/(-50))\/(-6 - (-114)\/20)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5755 is divided by 48\/(-6 + 2)*(-15)\/(-12)*-2?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 5. Let c(y) = -3*y**2 - y - 1. Let z be c(-2). Let g = s - z. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1820 and 5590?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/6 + 2*j**3 - 5*j**2 - 6*j. Let q(n) = -n**2 - 5*n + 4. Determine 5*c(k) + 12*q(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 38 = 10*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267017029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 149 = -2*u, 75881 - 75631 = -4*u + 2*l for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (14 - (-28 - -15))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-336)\/24024)\/(8 + (-636)\/78)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12544\/(-24))\/14*47\/((-1974)\/36)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.931226 rounded to two decimal places?\nAnswer: -3.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from zzzzzzzzzzccczz.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**2 - 5*q + 89. Let g(a) = -6*a**2 + 6*a - 89. What is -3*g(h) - 4*u(h)?\nAnswer: -2*h**2 + 2*h - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 9. Let g be b(-12). Find the third derivative of -4*f**2 - g*f**6 - 14 + 7 + 7 wrt f.\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115835 is divided by 2412?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 35*y**2 + 2*y + 61. Give c(-35).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*t + 36 = 0, -t = 5*c - 3*t - 44. Let n be (-8)\/(-6)*6\/4. Factor -r + 18*r**n - 7*r - 4*r - c*r**3 + 2.\nAnswer: -2*(r - 1)**2*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -614, -612, -610, -608?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114817.\nAnswer: 19, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18994 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 482138416 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26013921 - 1693896 = 2*t - 5*q, -t - 2*q = -12159990. What is t rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 + -33)\/((6\/(-4))\/(-1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -f + 2*d, 52*f + 27 = 23*f + 31*f + d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 5*d**5\/12 + 3*d**4\/8 - 5*d**3\/2 - 10*d**2. Let v = 21 - 13. Is j(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - -112. Let x = y + -68. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:39 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:59 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(10) - sqrt(160)*-2))\/(-4*-1*sqrt(2)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(187)*2 + -3*(sqrt(187) - sqrt(187)*3 - sqrt(187)) + sqrt(187))\/((sqrt(1100) + sqrt(1100) + sqrt(1100)*-1 + sqrt(1100))*2*2))**2.\nAnswer: 833\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s - 20 = -2*p - 39*s, 2*s + 2 = 5*p. Solve j + 5*w = 36, 2*j - w - p + 7 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*a - 227*a = 120*a - 873384. What is the greatest common factor of a and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29324, 0, 3.\nAnswer: -29324, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 60*z + 764 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 430590, 430309, 430024, 429735, 429442?\n\"Answer: -2*q**2 - 275*q + 430867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.87 + -13. Let u = y - -0.1158. What is u rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and 25.86.\nAnswer: 25.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 3*f = 2*y + 7, 0 = -5*y - 3*f - 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + 4*s)*((5*s**3 - 2*s**3 - 4*s**3)*(-4*s + 3*s - 2*s) - 5*s**4 + 2*s**4 + 2*s**4 + s**4 + 7*s**4 - 3*s**4)*(1 - 5 + 0).\nAnswer: -112*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23833727 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, d: 2, z: 1, m: 3, j: 5}. Give prob of sequence mmj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - p - 15. Determine n(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-378)\/(-270)*-5*1\/(14\/(-6)). Let m = 0.06 - 3.06. Which is the closest to g? (a) 2\/5 (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5197*u - 3*u**2 - 25 + 4*u**2 - 5187*u + 0*u**2. Suppose 24 = -0*q - 2*q. Let j be i(q). Which is the closest to j? (a) 4 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -252?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -85*j**2 - 4*j - 1. Let m(i) = -85*i**2 - 3*i - 1. Let g(v) = -5*m(v) + 4*w(v). Suppose 0 = -4*s - 2 + 6. Is g(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = -7*s + 69. Solve -4*u + s*d - 26 = 6, 2*d - 28 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 - -2)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.2 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35301 + 0?\nAnswer: -35301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 85 - 415 = 0. Solve 0 = -17*x + 28*x + m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 197, 516, 953, 1502, 2157, 2912, 3761?\nAnswer: 4698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5515054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18446 is divided by 3583?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*i + (0 + 0 - 1)*(1 + 2*i - 1) + 3*i + 0*i - i + 2 + 0 - 4 - 8*i.\nAnswer: -10*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.598453 milliseconds to seconds.\nAnswer: 0.008598453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10.21511962+-8.5\nAnswer: -18.71511962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 11*w + 52. Let v be a(-14). What is the common denominator of 465\/90*(-4)\/v + 5 and -67\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27282 from -92424154.\nAnswer: -92396872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 15*l**2. Let k be 26 - ((1 - -3) + 0). Suppose k = -4*j + 58. Let m(y) = -y - j + 12 - 3. What is m(h(f))?\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(12)\/sqrt(4))**2 + 0 - (sqrt(18)\/(-3*sqrt(6)))**2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10030323002 + -200?\nAnswer: 10030322202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -52*173\nAnswer: -8996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110047179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g - 3*p = 2104, 0 = g - 4*p - 431. Suppose 4*j - g = 45. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 31*y**2 - 3*y + 3. Let d be b(4). Suppose -j + d = -0*j. Let l = j - -533. Round l to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1332)\/(-16) - (1 + -12)\/(1 + -45).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 550288?\nAnswer: 550283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**7\/252 + 2*d**6\/45 + 11*d**5\/60 + d**4\/3 + d**3\/4 - 3*d - 17. Suppose n(y) = 0. What is y?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -610 or -609?\nAnswer: -610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l**5 - 4*l**5 + 5*l**5 + l**5 - 2*l**5 + 2*l**5 + (5*l**3 - l**3 - 5*l**3)*(2 - 2 + 2*l**2))*(2 + 0 + 2)*(-4 - 1 - 1).\nAnswer: 168*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 3*y + 12. Let a be -3 - -39*(-2)\/(-3). Suppose 9*q - 4*q + a = 2*p, p = 4*q + 19. Let g be o(q). Is 4 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28 or -1693?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 30. Solve -4*o + c = 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) + 2454\/8. Let v be a - (-1)\/(3\/(-9)). What is the smallest common multiple of 16 and v\/14 + (-10)\/(-35)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -16 + 8 + -1 + -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (60\/(-450)*4\/8)\/(12\/430). Let x be -1*-2*1\/18. Let v = x - c. What is the nearest to 0 in v, -2\/15, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:46 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:23 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1989.26t to milligrams.\nAnswer: 1989260000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50.9998746 - 51. What is o rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -83 (b) 0.1 (c) 1\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 4\/(-16))*(5 + (-35)\/5).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155005600 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3392 is divided by 125.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(9\/((-2754)\/12)) is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 = -3. Let p = 2 + x. Let n = -2061 + 2082. Calculate the highest common factor of n and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 837 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295, -313, -331, -349, -367?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 230*b - 8. Let q(p) = p**2 + p + 4. What is c(a) + 2*q(a)?\nAnswer: 3*a**2 + 232*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12 = 0, 2*q + 5*w + 296 = -0*q. Let k be q\/(-4 + 1) - -4. Let d = k - 30. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57011160 rounded to the nearest one hundred thousand?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66.45 + -75.\nAnswer: -141.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -851 - -303. Is -550 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9735 and 1416?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 356?\nAnswer: 356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -424 - -906. Is (o - (-15)\/(-5))\/(0 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -497838545 minus 0.1?\nAnswer: -497838545.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*w - 1002 = 350*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2585 + -2562. Solve 69*u - 67*u = 3*j + c, 0 = -5*u - 3*j + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-324)\/(-21) + ((-40)\/(-210))\/((-28)\/63). Let d be 411\/3 + (-3 - -1). What is the highest common factor of g and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 1, s: 1}. Give prob of picking 1 o and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2185 - 2171.008. Let c = 83 + -97. Let h = c + w. Round h to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 583068811 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003220306 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 14) + (-1 - -13) + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 62107*h - 186306. Give g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3763 and 987.\nAnswer: -3714081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3875490*l + 11626372*l - 3875435*l - 3875440*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*d**4 - 5217636*d**2 - 154006805*d - 1.\nAnswer: -408*d**2 - 10435272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719624 - 10601741 = -55*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.6 + 1.4. Which is bigger: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Let u(j) = j**2 - z*j + 2*j. Let h(i) = 35*i - 301 - 37*i + 301. What is u(h(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -398*z**2 + 775*z**2 - 374*z**2. Let n(b) = 332*b**2. What is n(r(y))?\nAnswer: 2988*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-91)\/26*3*1634\/(-399)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -94547, -93932, -93317?\n\"Answer: 615*j - 95162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538056 is divided by 3790?\nAnswer: 3666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + 12*u - 3*u)*(2 - 2 + 1) + (u + 2 - 2)*(-1 + 1 - 2).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 7) to base 11.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45697296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + c - c**5 + (0 + 0 - c**2)*(0*c**3 - 3*c**3 + c**3) - 2365*c**5 - 1871*c**5 + 425*c**5.\nAnswer: -3810*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6759 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71 - -8) + (-2207 - -2010).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-14) - 60\/(-70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/5 (c) -6\/7 (d) 1.7 (e) 0.6 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6 = -2*b, -2*k - 2*k - 20 = -3*b. Let j(p) be the second derivative of 0 - 1\/6*p**3 + 4*p + 0*p**2. Give j(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651\/57939 - (-5334)\/534?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -96*q - 2175. Let x be v(-23). Which is the closest to 0? (a) 3\/4 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 516695 by 516695.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1. Let l(w) be the second derivative of w**3\/6 - w**2 - 79*w. Let z(c) = 3*c - 13. Let b be z(3). What is b*j(y) - l(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (9 - (-24)\/160*-65)\/((-3)\/67896)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -15. Let t = x - 8. Let v = t - -1.8. Sort -1, -2, v in decreasing order.\nAnswer: v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -490, 0, 7, 4, -103, 0.3 in descending order.\nAnswer: 7, 4, 0.3, 0, -1\/5, -103, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -2. Let y(z) = z**3 - 16*z**2 - 18*z - 22. Let b be y(17). Let r = 50 + b. Calculate the smallest common multiple of r and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 5 (c) -5 (d) 3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -20*m**3 + 4*m**2 - 5. Let s be l(3). Let p = -427 - s. Is 83 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*i = 133 - 134, -2*q + 2*i - 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, e: 2}. What is prob of sequence ez?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - (-112)\/(-12)) + 70\/3. Let l(j) = 24*j - 120. What is the tens digit of l(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 11. Let o = 19 + -28. Give b(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 4*z**3 + 51 - 22 - z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (73 + -64 + (3 - 4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -25.4393995?\nAnswer: -2.54393995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*q**2 + 870*q**2 + 453*q - 453*q - 1298 wrt q?\nAnswer: 1700*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 4*z**2 - 3*z + 5. Let u be o(2). Let s be ((-9)\/(-3))\/(-1) - u. Suppose -s*x + 522 = 150. List the prime factors of x.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g**2 - 13*g**3 + 63 + 11*g**3 - 3 + 0 + 18*g. What is the thousands digit of t(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(180))\/sqrt(10))\/(sqrt(96)*-3) + (sqrt(363) - (sqrt(363) + sqrt(363) + -1 + -3) - sqrt(363))*4)**2.\nAnswer: -8456*sqrt(3)\/3 + 1129537\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 5236*y + 155208.\nAnswer: -4*(y - 29)*(y + 1338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 6. Let b = -40 - -47. What is the closest to v in b, 0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 624 - 138)*(1 + 4 - 3)*(-c + 2*c - 4*c).\nAnswer: 4200*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -27\/62, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3426 to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23232 - -2003?\nAnswer: 30240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*a - 6*n - 22 = -81*a, 0 = -n - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*p + 82, 5*f - 3*f = p + 31. Let m be f\/(-7) - (-4)\/14. Let k be (5 - 6)\/(m\/6). Solve o - k*o = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27072\/30080)\/(22\/20).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1050366828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89211 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -n - 3, -5*n - 4*y = y + 5. Let r(l) = 2*l - 8. Let i be r(6). Suppose k + i*k - 15 = n. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 + (-75 - -201) + -101\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9050551 to the nearest integer?\nAnswer: 3008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -8. Let y = -0.7 - o. Which is the biggest value? (a) -3 (b) 2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + o**2 + 0*o**2 + 229*o**3 + 3*o**2.\nAnswer: 229*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 6*p - 8. Let l(h) = h**2 - h. Let j(r) = -2*r**2 + r - 3. Let n(g) = j(g) + 3*l(g). Calculate -11*n(f) + 4*v(f).\nAnswer: -3*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*i + 34, 206*i = 4*x + 208*i - 20. Which is the nearest to -1? (a) x (b) 1 (c) -152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 u when four letters picked without replacement from {z: 3, u: 4, k: 9}.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 267 or 265?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (1 + sqrt(1700)))**2 + 2 - (sqrt(1700) - (sqrt(1700) + sqrt(1700) + 5 + (sqrt(1700)*-1 - sqrt(1700))))**2.\nAnswer: -1722 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, 0.02, -66\/7, 0.5.\nAnswer: -66\/7, -2, -0.1, 0.02, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q + 7. Calculate f(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/24)\/(5\/45)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l - 53. Let g be o(9). Let y(k) = -6167*k**3 - 3*k**2 + 30*k - 34. Let x be y(g). What is x rounded to the nearest 1000000?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c**4 + 116*c**3*v**3 - 33177*v**3 wrt c.\nAnswer: -16*c**3 + 348*c**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-5))\/((5220\/1200)\/29)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 65*h - 124. What is m(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3574 + 2?\nAnswer: 3576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1 = -11. Let i(m) = -1. Let f(d) = 8*d + 3. Let l(q) = x*i(q) + f(q). Suppose 6 = -2*c + 8. What is l(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**4*m - 21890*l**4 - l**3*m + 30*l**3 + 55*l**2*m - 24724*l**2 wrt l.\nAnswer: -48*l*m - 525360*l - 6*m + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -122, -178, -232, -284?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/230)\/((-1)\/1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*j + 43110 = 18402 for j.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, -2, 1\/4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/25491 and -97\/6.\nAnswer: 50982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -5206 (c) 4\/3 (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160 - 130. Calculate the greatest common factor of d and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5781 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 44, -5 in decreasing order.\nAnswer: 44, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 + 41*l - 17731. Give q(-84).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107 + 113. Suppose 4*x = s*x - 4. Solve -4*m = -x*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1275 and 13821?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:04 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 9*k**2 - 5*k - 10. Let c be f(8). Let a = -14 + c. Let n = 8 - 5. Solve -x + n*x + 2 = a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2276384, 2276357, 2276282, 2276135, 2275892?\n\"Answer: -4*u**3 + u + 2276387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 5, -9, -3.\nAnswer: -9, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 8:48 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - v + 11 = 0, -4*v - 16 = -2*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(11) + sqrt(44)) + (-1*sqrt(4))\/sqrt(2).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*g**5\/2 - 97665*g**4\/4 - 93855*g**3\/4 + 100345*g**2\/2 - 2370*g = 0 for g.\nAnswer: -2, 0, 3\/62, 1, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 114780657 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16603\/9 + 1848. Let l = y + -368\/117. Suppose -6*n = 5 + 19. Which is the nearest to l? (a) n (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - d - 838 = 2*d, 3*w - 1257 = 3*d. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1892 and 15157?\nAnswer: 28677044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112 + 51042?\nAnswer: 50630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/10*-1)\/(12 + (-549)\/45). Put 10, -11, 2, s, 4 in ascending order.\nAnswer: -11, 2, s, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 76 - (9 - 9) - -14?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/4 - 0)*1. Let i = p + -10. Calculate the remainder when i is divided by (6\/(-2))\/(-2 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 95 = 40 - 17. Solve 6*u - 20*u = -l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -45.6\nAnswer: 27.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 39 - 41 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4253 - 4251. Let f(b) = 4*b**2 - 7*b + 6. Let j(a) be the second derivative of 1\/12*a**4 + 0 + a**2 - a - 1\/3*a**3. Calculate p*f(c) - 7*j(c).\nAnswer: c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8914302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-55)\/15)*(-165)\/(-22)*17.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3736*q**5 - 323*q - 30 wrt q?\nAnswer: 74720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83265160 at most 83265168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (153\/(-17))\/(-9)*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 - 151*j - 401*j + 336*j - 4*j**3 as v*j + l + w*j**2 + m*j**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 - 1. Let w be m(1). Suppose 4*c + h = 2*c + 827, w*h = 4*c - 1639. What are the prime factors of 6\/(-15) - c\/(-5)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**5\/20 + v**3\/2 - v**2\/2 + 4*v. Let f(c) be the first derivative of d(c). Differentiate f(g) with respect to g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from broljrjrbbbdlrjbbj?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*o = -17, -a + 2*o - 3 = -0*o. Solve -8 = a*g - g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = 7*o - 715. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 15 = 3*f. Suppose 0 = -5*o + 5*h - 155, -3*o + f*h - 47 = -2*o. List the prime factors of (o\/(-2))\/(3\/4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1533301 nanograms to kilograms.\nAnswer: 0.0000000000001533301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4479, -4520, -4565, -4614, -4667, -4724, -4785?\n\"Answer: -2*b**2 - 35*b - 4442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -364 less than or equal to -363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 p, 1 w, and 1 v when four letters picked without replacement from vhpmw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*h**2 - 138*h**2 - 206901*h + 266*h**2.\nAnswer: h**2 - 206901*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -84, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*((c**1\/c)\/c)\/c))**(6\/13)\/(c\/(c\/c**11))**(-22) assuming c is positive.\nAnswer: c**(3158\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:07 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101211*w*x**3 - 17759*w*x**2 + 122*w + 7*x**6 wrt x.\nAnswer: -607266*w + 840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9162 and 1702.\nAnswer: 7796862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -17*p + 34113*p**2 + 34112*p**2 - 102335*p**2 - 24 + 34112*p**2. What is m(9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-25)\/(-115)) - 4\/(-10). Suppose 4*v + 16 = -2*k, -o*k + 12 = -k - 3*v. Suppose 5*g - 2*x - 2785 = k, 3*g - 4*g = -x - 557. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*x**4 + 132*x**4 + 51*x**4)*(17 - 5*x - 17)*(4 - 2 + 0).\nAnswer: -2450*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -229*n**6\/120 - 21*n**5\/10 - 80*n**2 - 2*n. What is the third derivative of s(v) wrt v?\nAnswer: -1374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33733866 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 535539312?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 679.018 - 678. Let x = i - 0.018. Which is the biggest value? (a) x (b) -0.1 (c) 4\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/17)*y*y)**(1\/17) assuming y is positive.\nAnswer: y**(50\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3218520 divided by 804630\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*o - 3, -4*f + 21 = -f - 3*o. Suppose 0 = y - m - 19, 4*y - 89 - 3 = -f*m. What is the remainder when 95 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 29) + 5*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 13085*h - 235540. Calculate q(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 w when four letters picked without replacement from {i: 3, w: 4, z: 1, t: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:34 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.07606803082 and 0.96.\nAnswer: -8.11606803082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 320224 (base 5) in base 3?\nAnswer: 112122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkyykykyyk. What is prob of picking 1 y and 1 k?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*p + 2780 = 0, h - 6*h - 3*p = -4626. Suppose -4*c + 3553 = 3*b + h, 0 = -2*b + c + 1738. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14*7\/(-14))\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 35, 7, -5 in ascending order.\nAnswer: -5, -3, 7, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2. Let o(t) = -4*t. Let f(g) = -g. Let x be 8\/(-6)*(-3)\/(-2). Let y(c) = x*o(c) + 7*f(c). Give v(y(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 10 - 6)*(-11*j**3 - 4*j**3 + 2*j**3 + (-j + 2*j + j)*(3 + 2*j**2 - 3)).\nAnswer: -189*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h - 5. Determine v(-11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*l - m + 14480, l + 3*m - 2896 = 0. Let n = 4397 - l. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 > -226\/34819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2310468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 7*w. Suppose -6 = 3*j - 0. Let k be (2\/3)\/(j\/(-15)). What is the least common multiple of 4 and l(k)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -72*m. Let x(d) = 2*d. Calculate o(x(k)).\nAnswer: -144*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 9. List the prime factors of 268\/w*9\/3.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -388077 and 0.5.\nAnswer: -194038.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/67 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15*t - 141. Let u be z(10). Suppose -u*c + 3292 = -1145. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43399246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19604*g**3 + 1 - 1 - 6376*g**3 - 6333*g**3 - 6284*g**3.\nAnswer: 611*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1473 (base 10) in base 5?\nAnswer: -21343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + -2 - -2 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2. Let t = -5 + 6. Let y be a(t). Suppose s = 4*n - 2*s + 48, 3*s = -y*n - 24. Which is bigger: -11 or n?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let t(c) be the third derivative of c**4\/8 - 4*c**2. Let f(q) = -4*p(q) - t(q). Let a(y) = -2*y. Give a(f(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -2*u**2 - 5*u - 1\/5*u**5 - u**4 + 0 - 2*u**3. Factor h(s).\nAnswer: -4*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-1\/2))\/x)\/(x\/(x\/(x\/(x**(-2)*x*x))))*x**(-1)*x**(-3))**(-6\/31) assuming x is positive.\nAnswer: x**(27\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 19 = 2*o, -89*o - 24 = 4*z - 87*o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59\/4 of a millennium?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/6 and -1\/446.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(((-114)\/18)\/19). Solve j = -2*g - 0*g + 3*d, 1 = g - 2*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxx when three letters picked without replacement from xwxxxw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/17 + 16*d**2 - 6760*d\/17 + 42400\/17 = 0. What is d?\nAnswer: 10, 20, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 12*n**2 - 2*n - 1 + 3*n + 9 + 3. Let u be s(-12). Let g(m) = -32*m**3 + 1. Is g(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -879\/500 + 1\/125. Sort n, -3, -0.5 in descending order.\nAnswer: -0.5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 857 + -641. What is the remainder when r is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/121, -9\/8, -0.5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 52 = -4*a, 1 = a + v - 11. Suppose 0 = -3*c - 5*m - a, 4*m - 3 = -2*c - 11. Suppose -y = -c*y + 9, 4*l - 95 = 3*y. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/9 - 410*r**3\/3 + 58550*r**2\/9 + 410*r\/3 - 58552\/9 = 0.\nAnswer: -1, 1, 52, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t**2 + 2*t + 1. Let d(j) = 39*j**2 + 125*j - 34. Let m(h) = -d(h) + 6*l(h). What is the derivative of m(y) wrt y?\nAnswer: 6*y - 113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 15 = -5*l, 3*d + 9 = -7*l + 4*l. Let y = -137 - -1231\/9. Put d, 1\/3, y in increasing order.\nAnswer: y, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1465 - -42779?\nAnswer: 44022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 9:19 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**7*t)**29\/((t*(t*t*t**(1\/3))\/t*t)\/t**(2\/13)) assuming t is positive.\nAnswer: t**(-4648\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) + -3*(sqrt(480) - 1*sqrt(480)))\/sqrt(8))\/(-6*(sqrt(96)*-1)\/sqrt(8)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272*z - 294*z - 307*z)*(2*z - 2 + 2)*(-z**2 + 4*z**2 + 2*z**2).\nAnswer: -3290*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 9 + 2 = -7. Which is smaller: 7\/731 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23534256 or -23534254?\nAnswer: -23534254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5329\/21 - (-4)\/(-12). Let z = -253 + v. Let i = -0.03 - -0.13. Which is greater: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-28) - (12\/7)\/6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*60*39\/(-702)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 8*q - 11. Let y = 11 - 4. Calculate the remainder when y is divided by j(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - f - 1. Let h(r) = 3*r**2 - 12*r - 1. Let j(i) = -4*c(i) + h(i). Let p be j(-7). Let t = p + -10. Is -2\/23 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + m - 29 = 0, 7*r + 4*m + 49 = 4*r. Let j be r\/6*11*12\/5. Let w = j + 104. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 75950 and 0.11?\nAnswer: 75949.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-59456)\/12)\/(-16) + 1\/3. Let b = 769 - h. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = 3*i, 6*a - 2*i = 3*a + 40. Suppose -a = 2*o - 4*o + 2*g, 0 = g + 5. Suppose o = 3*v - 5792 + 389. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/2 of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 122671 equal to 787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*u**2 + 2\/3 - 10\/9*u + 2\/9*u**3 = 0. Calculate u.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2005 - 670 - 667 - 668 + 25681*j**2 to the form s + a*j**2 + n*j and give a.\nAnswer: 25681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, -130, -304, -550, -868, -1258?\n\"Answer: -36*q**2 + 6*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/(4\/8*-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 330 - 330. Which is the closest to y? (a) -3\/4 (b) -5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:51 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*h + 7*c, -h = c + 25 - 27 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -196*t**4 + 251776*t**3 - 646368*t**2 + 307712*t - 41024 = 0. What is t?\nAnswer: 2\/7, 2, 1282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/11))**(-13\/4)*(t**0)**(1\/8))**37 assuming t is positive.\nAnswer: t**(481\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.0544 (b) 3\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 7\/120*m**4 - 1\/75*m**5 + 0 - 33*m**2 + 0*m + 1\/15*m**3. Factor y(r).\nAnswer: -(r - 2)*(4*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6340000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/42*10 + 1. Which is the nearest to i? (a) 85 (b) 5 (c) -5 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-1\/12)\/y*y**(11\/5)*y**(-21\/5)\/(y*((y*y\/(y**(2\/3)\/y))\/y*y)\/y*y) assuming y is positive.\nAnswer: y**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1714)\/(-30852))\/((-1)\/558)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7598187 and 174?\nAnswer: 440694846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/239 (b) 1 (c) -1 (d) 0.02 (e) -4\/7 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2\/3 (c) -341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10080930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-208)\/(-182) - (-6)\/7. Solve 10 = -s*h - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 1.52?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1100000010010101100100?\nAnswer: -1100000010010101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 132216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 388*p - 1053. Let i be w(132). Let d(k) = 18*k - 11. Calculate d(i).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54990958?\nAnswer: 2, 11, 2499589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -10*(2625\/(-10))\/15 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**10\/241920 - b**9\/60480 + b**7\/10080 - b**6\/5760 + b**4\/12 + 3*b. Let a(h) be the third derivative of d(h). Factor a(z).\nAnswer: z*(z - 1)**3*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {s: 3, j: 2, a: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(152\/(-84)) + -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3003123 - -203?\nAnswer: -3002320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 9 = -3*l, -2*m - 3*l + 2*l = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 0.7491499.\nAnswer: 4.7491499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -77*n - 108. Calculate g(-3).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -83, -177, -317, -509, -759?\nAnswer: -1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.667 millennia to years.\nAnswer: 602667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -48?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-12*10\/(-12600))\/(30\/(-360))\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, and 1 f when three letters picked without replacement from {f: 1, r: 1, o: 16}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5057 and 2.4112?\nAnswer: -12193.4384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17914221 is divided by 154?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8905 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + 0.42. Let z = -8 - -6. Let v = -5.13 + 0.13. Which is the third smallest value? (a) i (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 28 = 4*p - 2*f, -4*f + 7 = p. Suppose -2*r - 1 = -7. Let v be (2\/r)\/((-3)\/(-72)). Solve 3*t + p = v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 13) to base 5\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1620426 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14712 is divided by 110.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o**3\/9 + 2622656*o**2\/9 + 3099556*o\/9 + 52984 = 0. What is o?\nAnswer: -1, -2\/11, 59607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctf when three letters picked without replacement from {c: 6, t: 1, l: 2, p: 2, f: 3, d: 5}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w**2 - 2*w**2 + 2*w**2)*(4*w**3 - 7*w**3 - 5*w**3) + 3*w - 2*w**5 - 3*w + (0*w**2 - w**2 - w**2)*(2*w**3 - 4*w**3 + 0*w**3) - 1 + 1 - 2*w**5.\nAnswer: -64*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12*m**2 - m + 3. Let j be x(3). Let c = j + 6. Let p be 4\/(-10) + c\/(-5). Solve 4*t = -t + p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*h**2 - 6*h**2 - 8*h**2 in the form y*h + x*h**2 + d and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -73, -111?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/9 + 452652212*k\/9 + 25611753128561618\/9.\nAnswer: 2*(k + 113163053)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*m - 171*m + 576 - 82 = 0. Calculate the remainder when (-49)\/3*(-3 - 0) is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 5\/3 (c) -2 (d) -5 (e) -623 (f) 1\/18 (g) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127\/12 or 11?\nAnswer: 127\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2227 - -2226. Let i be (-2)\/(2*1) + -3. Let j be 3\/(1 - (-7)\/i). Put h, j, 5 in descending order.\nAnswer: 5, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/4*((-57)\/45 + 1). Are r and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126663011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -168, -35, 650, 2163, 4780, 8777, 14430?\n\"Answer: 46*x**3 - 189*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -2 - 1)*2*5. What is the third derivative of 46*u**2 + p*u**2 + 2*u**3 - 8*u**5 - 25*u**5 - 3*u**3 wrt u?\nAnswer: -1980*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 543540543 + 3?\nAnswer: 543540550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*((-1)\/(-7))\/(3204\/(-370062)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 334 + -335. Let n(p) = -2*p**2 - 5*p + 4. Let t(b) = b**2 - 9*b + 10. Let v be t(7). Let h(y) = y - 1. What is j*n(u) + v*h(u)?\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039 divided by -7?\nAnswer: -1039\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -155*u**4 + 8*u**2 - u - 224836 wrt u?\nAnswer: -620*u**3 + 16*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 9:53 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k**4 - 6*k**3 + 6*k**3)*(0 + 0 - 2) + 2*k**4 - 4*k**4 + 2 - 3 in the form l*k**4 + n + j*k**2 + p*k**3 + f*k and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -255896489\nAnswer: -255896479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*v - 153 = -186*v. Suppose 0 = -33*m + v*m - 20970. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 at least 450\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a day in minutes?\nAnswer: 13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -4207098.\nAnswer: 2\/2103549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 180122041.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 2:14 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7359193+-60\nAnswer: 7359133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + -60. List the prime factors of 772 + (c\/1)\/(-5).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*l + 2 = 0, 4*l = 2*a + 3*l - 14. Let u(y) = y + 3. Determine u(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.2, -1\/9882, -4.\nAnswer: -4, -3\/2, -1\/9882, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/420 and -85\/28?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 2*v + 2*v**2)*(39*v**2 + 15 - 15)*(3 + 3 - 4 + (4 + 7 + 0)*(1 + 2 - 4)) as q + l*v**4 + w*v**2 + j*v**3 + m*v and give l.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-8)*(-1)\/20. Suppose -4*r = 3*i - 4, -2 = 2*r - 4*i - 4. Which is the second smallest value? (a) 4 (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 11 = m, m - q - 1 = q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11250 is divided by 168.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 10*n**3 + 11*n**2 + 11*n. Let j(c) = -c**3 - c**2 - c. Give 44*j(h) + 4*k(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231910 and 3875?\nAnswer: 179730250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 9, -5, -3587, -0.5, 0.2.\nAnswer: -3587, -5, -0.5, 1\/10, 0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = 0. Suppose -5*o = -4*q + 92, -4*q + 0*o = 3*o - 60. List the prime factors of q - 3 - (h - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2939513486 to three dps.\nAnswer: -0.294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/3 of a hour?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/12 and 117\/154.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14b - -43?\nAnswer: 18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1227 (base 9) in base 2?\nAnswer: -1110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b + 2331274 = 685773. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50039\/37509 - 9\/12503. Let i = -3.7 + 4. Let j = 0.8 - i. Which is the nearest to 4\/7? (a) j (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25196, -100816, -226886, -403406, -630376, -907796?\n\"Answer: -25225*i**2 + 55*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*p + 8932 = 37*p - 112*p - 304*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4) - 70\/(-60)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v + 3*v + 144*v**2 - 294*v**2 + 147*v**2. Let b(c) be the first derivative of -c**3\/3 + 1. What is b(a(u))?\nAnswer: -9*u**4 - 48*u**3 - 64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32591511 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a - 296. Let f = 142 - a. Suppose -38 = -3*u - 4*k + f, 5*u - k = 146. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3141*y**2 + 4995*y**2 + 4448*y**2 - y to x + f*y**2 + n*y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5971940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.922*3.\nAnswer: 17.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1))**0\/(l*l\/(l*(l**(-1\/8)*l)\/l*l)*l**(-5\/3))*((l\/(l**5*l))\/(l*l\/(l*l*l**3*l)))**(5\/2) assuming l is positive.\nAnswer: l**(-23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1940866028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 175661 - 33?\nAnswer: 175626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 264\/(-110)*-20*1\/(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:42 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**2. Let z be g(1). Let p = 6 - z. What is the remainder when 29 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + b - 18 = 0, 0 = -5*s - 3*b - 2*b - 50. Let o(j) be the first derivative of -4*j**2 + 6*j + 248. What are the prime factors of o(s)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126 + 139.7. Let m = p - 18.7. Which is the second smallest value? (a) 1\/5 (b) m (c) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*j + 14*j - 5*j)*(-6*j**2 - 2*j**2 - 2*j**2) + 2*j**2 - 2*j**3 - 2*j**2.\nAnswer: 58*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5787?\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(31 + 1 - 6 + (0 + 0 - 3)*(2 - 6 + 2) - 1 - 1 + 4 - 1 - 2 + 4)*(2*n - 3*n - n).\nAnswer: 140*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*v = -12*v - 199*v + 65*v - 23350 for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 561 = -3*m - 527, 5*l + 32 = 2*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*h + 258 = h, 0 = 2*h + 6. Suppose d + 2*d - q = 0. Calculate the lowest common multiple of 12 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7266922451.\nAnswer: 41, 177242011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 861559*-178\nAnswer: -153357502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12843.8 - 12844. Let k be (-1)\/2 - (-21)\/6. Which is the nearest to 0? (a) k (b) -2\/17 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b = -1201311 + 8145280. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*v - 77 - 9, 4*v - 5*j = 61. Suppose y + v = 4*a, -a + 13 = -2*y + 2*a. Calculate the lowest common multiple of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -425 (base 7) to base 2.\nAnswer: -11010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149808124 by -2.\nAnswer: 74904062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/10 - 4\/5. Suppose 2*t = -2 - 4. Let u = t - 2. Which is the nearest to 0.1? (a) f (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*h - 1)*(-1 - 1 + 3)*(7*h - 4*h**2 - 7*h) + (-5*h - 3*h + 4*h)*(1 - 1 + 2*h**2).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3317117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-3)\/(-27)*-135. Find the first derivative of 5*m**3 - u*m - 6 + 45*m + 0*m**3 wrt m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-3 + 4 - -29)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 355, -4, -555 in descending order.\nAnswer: 355, 2, 0, -4, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + -3.6. What is the second biggest value in v, 1, -24?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 13. Let l be b(-13). Let a(p) = -168462*p + 12. Let s be a(l). What is s rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - (-3 - 1 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 119 = k + 99 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1, 5, 7040, -5, 3 in descending order.\nAnswer: 7040, 5, 3, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/(-3)*1\/(-1). Calculate the remainder when 7 is divided by (-38)\/j + 14\/(-63).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1722, 1723, 1694, 1617, 1474, 1247, 918?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 1. Let s(a) = -2*a + 1. Determine -o(g) + s(g).\nAnswer: g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 19 = 47. Let g(q) = 2*q - 10. List the prime factors of g(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019786 to 7 dps.\nAnswer: -0.0000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -230 + 230. Which is the smallest value? (a) -5 (b) 6 (c) i (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:39 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.77 - 88.17. Let u = -96 + 26. Let d = u - i. Round d to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 4*o**2 - o - 1. Suppose -2*l + 152 - 160 = 0. Let i(g) = -g**3 + 3*g**2 + g. Calculate l*i(p) - 3*s(p).\nAnswer: -2*p**3 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -20254\nAnswer: -1\/10127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 16*x**2 + 19*x + 14. Let r = -20 - -9. Let p be t(r). What is p rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 12*r**2 + 13*r - 8. Let s be (-27)\/54 - ((-2)\/4 + 0). Suppose -5*y + 73 - 18 = s. Let n be d(y). Do 14 and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.264684 rounded to 1 decimal place?\nAnswer: 140.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147200 and 112659200.\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 13187 = -613. What is y rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 5355 = -9*g. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9121.\nAnswer: 7, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*x - 264 = 40. Let s(h) = -6*h**2 + 7*h - 11. Let o(d) = -3*d**2 + 4*d - 6. Calculate x*s(m) - 7*o(m).\nAnswer: -3*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164*v**2*x - 3750*v**2 - 5*v*x**2 wrt x.\nAnswer: -164*v**2 - 10*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*d + 2*t, -3*t = -4*d + d + 93. Suppose -25 - 27 = -o. Calculate the greatest common factor of d and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-7)\/(32\/2880*30).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u - 3*u)*(2 + 2 - 3) - 3*u + 0 + 0 + (0 - 1 + 0)*(-1 + 1 + 2*u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 138.351\nAnswer: -27.6702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcme when four letters picked without replacement from {e: 6, w: 1, m: 5, p: 1, c: 3, f: 3}.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.13 less than 3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6423001549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 845 = -c, -3*j - 3*c - 1361 = 1162. Let z = 75 - 91. Calculate the common denominator of z\/72 + j\/(-270) and -27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2*n + 10 + 2)*(4*n**2 - 2*n**4 - 4*n**2) - n**5 + 0*n**5 + 0*n**5.\nAnswer: -5*n**5 - 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94499 times -0.01?\nAnswer: -944.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(117) - sqrt(117))*1*4)\/(3*(sqrt(225) - (sqrt(225) + -4*sqrt(225)) - sqrt(225))).\nAnswer: -4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k + 113 - 663 = 275 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302028796?\nAnswer: 2, 823, 395513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3356 (base 7) to base 12.\nAnswer: -855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/1*2*1. Let t(b) = -2 - 1 + 2 + u*b. Is t(1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1574*w**2 - 66*w - 79. Is s(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -471 - 851191?\nAnswer: -851662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -464*z + 8816. Let r be c(19). Is r equal to -19\/542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 36328373 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 - 1 = 0. Is 523*k + 2*5\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g. Let b = 2 + -5. Let m be y(b). Suppose v - 3*v - 15 = 3*w, -2*w + 3*v = -3. Put 2, m, w in decreasing order.\nAnswer: m, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -1b5?\nAnswer: 1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 1, t: 2, v: 2, e: 1}. What is prob of sequence te?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 157, 188, 217, 244, 269, 292?\n\"Answer: -l**2 + 34*l + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42443066*w**4 - 2*w**2 - 639860266*w wrt w.\nAnswer: -509316792*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*h - 15. Find the first derivative of d + 1 - h + 5*d - 2*d wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 49 = h, 9163*c = -9*h + 9164*c + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1151*p. Let n(b) = -2*b + 55. Calculate n(u(d)).\nAnswer: -2302*d + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*c - 9, 4*c - 4 = 4*r. Solve -n - 8 = -3*n + r*i, 2*n - 3*i = 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 7*m + 7. Let z be j(-6). Let h(y) = -y**3 - 5*y**2 - 2*y - 7. Let w = 14 + -19. Let c be h(w). Solve -c*k + 4*k = -z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x. Let p(h) = 21*h. Calculate f(p(n)).\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-two thirds of a hour?\nAnswer: 1240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Suppose -3*r + 4*p = -1683, q*r + 5*p = r - 572. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 + -0.2. Let b = 4.4 + h. What is b rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -235 + 231.32. Round t to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**2. Let d(s) = 82*s - 9. Calculate d(z(m)).\nAnswer: -328*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 8*a - 1. Let c be z(7). Let o be (2\/3)\/((-14)\/c). What is the third smallest value in o, 2, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -21372*a - 44. Let t(b) = 21371*b + 44. Let x(d) = 7*n(d) + 6*t(d). Let s be x(2). Round s to the nearest 1000.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1518*b**2*f**2 + 352*b**2 wrt f.\nAnswer: 3036*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 802033 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*2*sqrt(132) + (sqrt(132) - 6*1*sqrt(132)))\/(-5*-1*sqrt(12)*1).\nAnswer: -4 - sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261595 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z = 25*z, -3*r - z = -81. Let n(p) = 6*p**3 - 3*p**2 + 2*p + 2. What is the remainder when n(2) is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102 - -11112?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/3*y**2 - 1\/3*y**3 - 4\/3*y.\nAnswer: -y*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**4\/6 + q**3\/6 + 3*q**2\/2 + q. Let p be g(-3). Suppose 3*k = 2*k + p. Calculate the remainder when 35 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.498 - 4.549. What is f rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 1:36 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 8*y + 4623 = 3*v, -2*y + v = -3088. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 - 8)*(2*u - u - 3*u) - 24*u + 52*u - 27*u + 46 to i + s*u and give i.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 9:01 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 4*u**2 + 3*u**2)*(-23*u - 2*u - u + 1 + u).\nAnswer: -50*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + 205. Let l(j) = j - 114. Let o(q) = 9*l(q) + 5*s(q). Let x = -3 - -8. Suppose -5*r = f - 8, x*r = -0*f + 5*f - 10. Calculate o(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -50. Let r(y) = -2 - 5*y + 0*y + 6 - b. Let d(p) = -4*p - 3. Give -7*d(i) + 6*r(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000918794 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**3 + 89*g**2 - 93*g - 3. Let f(l) = -32*l**3 - 446*l**2 + 464*l + 14. Let h(k) = -6*f(k) - 28*n(k). Factor h(x).\nAnswer: -4*x*(x - 45)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139 - -1252\/9. Which is the closest to -0.1? (a) -26 (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12663, -12617, -12521, -12351, -12083, -11693, -11157, -10451?\nAnswer: -9551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 + 2*j**2 + 0*j**2 + (-2*j + 2*j + 2*j**2)*(2 - 1 + 0) - 7*j**2 + 5*j**2 + 8*j**2 - 4*j**2 + 0*j**2 + 2*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/8634 and 13\/88905737?\nAnswer: 533434422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/2)*v)\/v)**(2\/105)\/((v*v*(((v**(-6\/7)*v)\/v)\/v)\/v*v*v)\/((v\/(v*v**(2\/15)))\/v)) assuming v is positive.\nAnswer: v**(-236\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -51*o**3 + 6*o + 1088*o**2 + o + 18 - 1089*o**2. List the prime factors of s(-2).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -32. Suppose 6 = -2*i - h. Let q(t) = -4*t**2 + 8*t + 8. Let j(b) = 9*b**2 - 17*b - 16. Let c(k) = i*q(k) - 4*j(k). Solve c(p) = 0 for p.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162260 divided by -8113?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19070 = -35*i + 2665. What is the greatest common factor of 27 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.121 (c) -12 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 16) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 10 = c - 5*c, -5*c - 5*k + 15 = 0. Suppose 5 = 2*o + c. Suppose -j - o*j = -105. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23715 + 4734?\nAnswer: -16761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 665859 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 2}. Give prob of picking 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988*j = 1917*j - 32515 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00237804 rounded to five decimal places?\nAnswer: 0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 58 = -11*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 13*x**3 + 15*x**3 + 10.\nAnswer: 2*x**3 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646962147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15464671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 8, 6*u - 3*u - 5*z - 242 = 0. Suppose -4*l + 2*a + 44 = 0, -5*l + 2 = 2*a - 44. Calculate the lowest common multiple of u and l.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 20. What is i(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a - 14. Let l(s) = -s**3 + 9*s**2 - s + 11. Let n be l(a). Factor 17*h**2 - 20 + 17*h**n + 28 - 8*h**3 - 40*h.\nAnswer: -2*(h - 2)**2*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14047070 and 471570?\nAnswer: 463553310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4*u + 2\/3*u**2 = 0. Calculate u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7369 or 1?\nAnswer: 7369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a = 25. Let k = 10 - -12. Let q = 18 - k. Put a, q, -1 in ascending order.\nAnswer: a, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 1028*r + 1029.\nAnswer: -(r - 1)*(r + 1029)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4*x + 16 = 0, -2*j + 190*x - 191*x = 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5469 + -5469. Is o > 23\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1234*l**2 - l + 2. Let f = 25 - 24. Let o be p(f). What is the common denominator of -7 and o\/39*6\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*i**5*l**3 - 6*i**5*l + 9*i*l**3 - 4*i*l**2 + i*l wrt i.\nAnswer: -340*i**3*l**3 - 120*i**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j*j**(9\/4)\/j))))\/((j*(j\/j**(-1\/20))\/j)\/j) assuming j is positive.\nAnswer: j**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/1197 + (-2312)\/(-38) - 8?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - 3 - 8\/2. Let n(k) be the third derivative of -k**2 - 1\/150*k**5 + 0*k**4 + 0*k + 0*k**3 + b. Let n(h) = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 1. Let j be l(-1). Let q = j - -1. What is the second derivative of -m**4 + q*m - 7*m - m + 2*m wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 4\/3, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38748167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13536 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 54*j**2 - 47. Is g(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 19*c - 1. Let l(k) = 2*k. Let i be 6\/(-9) - 22\/3. Let v be (-1)\/(i\/(-6)*(-1)\/24). Determine v*l(s) - 2*g(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96288 = -18*o - 25*o + 49*o. Is 141 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631153 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/15888285 and 1\/1330182.\nAnswer: 285989130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w. Let r(j) = 11*j - 27. Let p(k) = -a(k) + r(k). Find the first derivative of p(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -52512543?\nAnswer: -52512543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 187\/3. Let d(z) = -z + 19. Let f be d(19). Is j greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-77 + 3)*(1 + -2). Suppose 70*b + 56 = c*b. Which is smaller: 10 or b?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from miqqqqqqrmqmqmrkm?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 4*n**2 - 4*n**2)*(801 - 1591 - 1833*n + 790).\nAnswer: 9165*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 14\/(-5)*(0 + -5).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 24 = 2*v, -h - 3 = -5*v + 3. Differentiate 15*c**2 + 10 - 16*c**2 - 96 - 5*c**h - 54 with respect to c.\nAnswer: -20*c**3 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9))**(-38\/5)\/((s\/(s*s\/s**5*s))\/((s**7*s)\/s)) assuming s is positive.\nAnswer: s**(256\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2109208 is divided by 3965?\nAnswer: 3793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-89915\nAnswer: 62940.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4640 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1056, -1\/4, 17\/2399?\nAnswer: 17\/2399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 875108594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7387*r + 7248*r + 7303 = 1326 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round 194253.9399 to the nearest one thousand.\nAnswer: 194000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-48)\/549) + (-1)\/(-8). Suppose 2503 = y*w + 7310. Is -209 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -1 (c) -0.1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -763826*l**2 - 1401960.\nAnswer: -1527652*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3875, 3910, 3947, 3986, 4027, 4070?\nAnswer: 4115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.899 greater than 145512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -13*p**3 + 21*p**2\/4 + 95*p\/2 - 12 = 0.\nAnswer: -24\/13, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41421, -3, -139, -13 in decreasing order.\nAnswer: -3, -13, -139, -41421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l. Suppose -2*v + l*u - 5*u = -314, v - 157 = u. Let m = 245 - v. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d + 0*d - d)*(0*d + 5*d - 3*d) + 9*d**2 + 12*d**2 - 7*d**2 + 23*d**2 - 7*d**2 - 14 + 10 to the form l + o*d**2 + v*d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4560 to the nearest one hundred.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**3 + 5*m**2 + m - 13. Let g(y) = -2*y**3 + 3*y**2 - 6. Let b(j) = 7*g(j) - 3*q(j). Let v be b(-6). Solve 4*d = f + v + 1, -3 = -5*d - 3*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -630, -1268, -1906, -2544?\nAnswer: -3182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-52)*-13)\/((-1)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 239793, 239800, 239811, 239826, 239845, 239868?\n\"Answer: 2*d**2 + d + 239790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2345822, -2\/17, -1.4 in decreasing order.\nAnswer: -2\/17, -1.4, -2345822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 54. Let i = -33 + z. Let q(m) = 6*m + 1. Calculate q(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 59780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1007 + 2134. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1309*j**3 + 705*j.\nAnswer: -7854*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5\/(-4) - 233829\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4704.723 + -4706. Which is the third smallest value? (a) -1\/4 (b) 0.3 (c) -1\/2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 24\/6 - 1*(7 - 11). Let k(d) be the third derivative of 1\/80*d**6 + 15*d**2 + 0*d + 3\/16*d**4 + y*d**3 + 1\/10*d**5 + 0. Let k(r) = 0. Calculate r.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-752)\/1680)\/47*6.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/23106600 and -93\/500.\nAnswer: 115533000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 7, b: 3, l: 2}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -170 and -0.07?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112138 and 103512?\nAnswer: 1345656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = z - 3*t - 11, 0 = -4*z + t + 14. Let u(i) = i - 3. Let h be u(5). Solve a + 17 = 5*k, k + h = -2*a + z*k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1727, 3453, 5179, 6905, 8631?\nAnswer: 10357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 10*p**5 + 718*p**4\/3 - 802*p**3\/3 - 46*p**2\/3 + 100*p\/3 = 0?\nAnswer: -25, -1\/3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -9 + -1 + 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 978768 divided by -7.\nAnswer: -139824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f + 19*f - 11 + 156*f.\nAnswer: 163*f - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27006 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8066099 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -373 + 374 - ((-10 - -2) + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39797094 by 19898547.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-65)\/(-104))\/((-130)\/1430)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 61*b - 2588. Let m be w(44). Solve -36*j - 48 = m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 86, -5, 3, -3 in increasing order.\nAnswer: -5, -3, -1, 3, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*f - 9396 = -f + 129*f - 40*f for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = 0, 4*c - 1 = -f + 11. Let h be (0 + 0)\/(3 + (-8 - f)). Find the second derivative of 18*j**3 + h*j**3 + 13*j + 12*j**3 wrt j.\nAnswer: 180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2 - 248*u - 7688 = 0.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*c + 3*c - 754 = 0, -3*c - 6 = 0. Suppose -3*l + 48 = 39026*x - 39029*x, -5*x = 0. Calculate the lowest common multiple of f - (2 - 1*4) and l.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10030331 (base 4) to base 3.\nAnswer: 212121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 466*n + 2867. What is m(-6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/21 - 92\/(-28). Let u = 0.04 + 0.36. What is the third biggest value in u, -7, h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*t = 13, -4*t + 922 = -3*x + 923. Which is the nearest to 0.2? (a) -9 (b) -0.038 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41844, 41936, 42086, 42288, 42536, 42824, 43146, 43496?\n\"Answer: -x**3 + 35*x**2 - 6*x + 41816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 4. Let r = -16 - -6. Let w be u(r). What is the highest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2071965947.\nAnswer: 677, 3060511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -46515.2 to the nearest one thousand.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y + 1. Let n be u(1). Let v = n - 5. Let o = v + 11. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*w + 1096 + 191 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144430661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by 196.\nAnswer: 41\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -92*q - 12. Let g(y) = -21*y**2 - 13*y - 65. Let t(j) = -16*j**2 - 10*j - 50. Let n(x) = -10*g(x) + 13*t(x). What is c(n(d))?\nAnswer: -184*d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 - -10814223?\nAnswer: 10814346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2771*i. Let h(b) = -b. Determine h(a(y)).\nAnswer: -2771*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3 - 7*a - 2 + (-4 + 4 + 3)*(-a + 4*a - 2*a) - 7*a + 2 - 2.\nAnswer: -11*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**7\/231 - 4*p**6\/165 - 2*p**5\/55 + p**4\/33 + 5*p**3\/33 + 2*p**2\/11 + 16*p. Suppose o(n) = 0. What is n?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19004063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - 6*a. Suppose 12 = -168*d + 172*d. Let y(c) = -c**2 + 2*c. Give d*g(n) + 8*y(n).\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -62*j + 108. Let o(y) = -41*y + 72. Let f(i) = 5*m(i) - 7*o(i). Is 3 a factor of f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.65 - -22.496. Let u = s - -0.154. Let c = -2 + -3. Put c, 0.4, u in ascending order.\nAnswer: c, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 76 + 1?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 47*r**3 + 3*r**2 - 5. Let f(h) = -142*h**3 - 8*h**2 + 14. Give 8*d(z) + 3*f(z).\nAnswer: -50*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102590186 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 5. Find the common denominator of (3\/(-24))\/(t\/(-42)) and 19\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(65)*1)\/((sqrt(90)\/sqrt(9))\/sqrt(2)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**4\/4 + 9*g**3 - 1977*g**2\/4 + 4437*g\/2 - 1734 = 0.\nAnswer: -34, 1, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 32\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d\/d**(-6)))*d**(2\/5))\/((d\/((d\/((d*d**(-1\/2))\/d))\/d)*d*d)\/d**(1\/2)))\/(d**9\/d**9)**(7\/3) assuming d is positive.\nAnswer: d**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33112\/34 + -3 - (-6)\/51?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9 + q**2 + 6*q + 2*q - 2*q**2. Let z(r) = -r**2 + 11*r - 11. Let w be z(9). Let t be h(w). Sort t, -4, 4.\nAnswer: -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(30\/(-8)))\/((-12)\/(-18))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -511 + 841. Suppose -2*t + s = 3*t. Calculate the common denominator of (t\/15)\/(72\/(-130)) and 83\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 428.\nAnswer: 5\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -332*g**5\/5 + 5*g**3\/6 - 115*g**2 - 19*g - 42. What is the second derivative of v(y) wrt y?\nAnswer: -7968*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30, -53, -90, -147, -230, -345, -498?\n\"Answer: -l**3 - l**2 - 13*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**5 + 343*x**4\/5 - 603*x**3\/5 + 317*x**2\/5 - 42*x\/5 = 0.\nAnswer: 0, 1\/5, 2\/3, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -148739, -148742, -148747, -148754, -148763?\n\"Answer: -o**2 - 148738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 9*c**2 + 3252*c + 25947. Give z(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31235, -124923, -281073, -499685, -780759, -1124295?\n\"Answer: -31231*v**2 + 5*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*l - 23 + 23)*((4 - 4 + 2*l)*(1 - 1 - 3) + 3*l + l - 3*l) in the form d*l**2 + u*l + s and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-14)\/12 - 5\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + 1 + 5*(2 + sqrt(612))**2*-3*-4.\nAnswer: 1440*sqrt(17) + 36965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 280636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-2))\/(0 - -1). Suppose r = -5*j + j + 28. Calculate the greatest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.202 and -3.673.\nAnswer: 0.741946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31103 (base 4) to base 13\nAnswer: -506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -443314757 and 29.20741.\nAnswer: -443314727.79259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 - f**2 - 5*f + 21. Let l be w(-4). Let a = 288 + l. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -563 + 791. Calculate the remainder when s is divided by 63.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 15) to base 6\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/(-10))\/((-2)\/140). Suppose k = 4*i + v, -5*i - 5*v + 132 = -4*v. Calculate the highest common factor of 27 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -851.8+-14.878\nAnswer: -866.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.053358 - -0.0533556293. Round b to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -3*12) + -1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + 7*f**2 - 12*f - 34. Give o(-4).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -11*w**2\/2 + 27*w - 5573. Give o(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((0 + sqrt(2))*4 - sqrt(6)\/sqrt(3)*-6)**2*3*6 + 0)*-4.\nAnswer: -14401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - z - 9 = 0, -f - 15 = 4*z - 0*z. Let n be (-2)\/f - 736\/(-48). Calculate the highest common factor of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135 (base 8) to base 13\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 55425?\nAnswer: 443400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 31*q**3 + 2*q**2 - 4*q + 3. Let c(i) = -7*i + 8*i - 3*i**3 - 3*i**3 + 5*i**3. Let b(v) = 4*c(v) + g(v). What is the third derivative of b(y) wrt y?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24899 is divided by 4316?\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6247\/7 + -893. Does 0 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a2 (base 11) to base 16.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, z: 7}. What is prob of picking 3 z?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 730*n**2. Let c(l) = 2337*l**2. Calculate c(i(h)).\nAnswer: 1245387300*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 5. Let o(l) be the third derivative of 0*l + 5\/6*l**3 + 0 - 2*l**2 + 0*l**4 - 1\/60*l**5. Let g be o(0). Determine r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(1\/(2\/(-3)))\/(((-2745)\/20)\/1)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - v**2 + 3*v + 1. Let j be u(2). Suppose j*b = b + 70. What is the remainder when 96 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 5180 (c) -4 (d) 1\/2 (e) 467 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {z: 1, i: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*sqrt(2736) + 3)*3*-1.\nAnswer: -720*sqrt(19) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(2\/(-4)*1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = -4*x, -2*b - 5*x + 2 = -5*b. Which is smaller: b or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 0*n**2 + 2 - 6*n + n**3 - 4*n**2 + 2 - 2*n**2. Let z be k(7). Let s(p) = p + 8. Let d be s(-5). Solve 4*q + x = z, -q - d*x = -7*x - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkykykykykykykkkykk. What is prob of picking 1 k and 3 y?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31081 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/252*-316 - 11. Let w(q) be the second derivative of q**4\/12 - 2*q**3\/3 - q**2\/2 - q. Let h be w(4). What is the closest to s in 2\/3, h, -2\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y + 78. Let u(r) = 69*r - r**2 + 74*r - 143*r. What is l(u(s))?\nAnswer: -3*s**2 + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30184909?\nAnswer: 30184909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 3*w**2 + 2*w**3 - 57\/40*w**5 - 25\/28*w**7 + 0 + 5*w + 11\/4*w**6 - 23\/8*w**4. What is a in n(a) = 0?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 2, c: 6, j: 3}. What is prob of sequence jo?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1014 + -201220?\nAnswer: -202234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 866287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4059 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 27412*a + 4824531. Determine p(-176).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/58158 and 61\/324.\nAnswer: 116316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 + 0*h**4 + 21 - 16 + 4*h to the form s*h + u*h**2 + d*h**4 + b*h**3 + j and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 50\/12327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 208935074*s**3 - 104667559*s.\nAnswer: 1253610444*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31 and -0.342080967.\nAnswer: -31.342080967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 10. Let m be l(8). Let g(w) = w - w**3 + 3 + w**3 - m*w + w**3. What is g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 11274734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/21 - 1228*z**2\/7 - 505494*z\/7.\nAnswer: -2*z*(z + 621)*(z + 1221)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pprpprippppprrprp. What is prob of picking 2 p?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 4.65084632?\nAnswer: -4.25084632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -675a4?\nAnswer: 675ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2819485 = -142*m + 448386 + 2608089. Is m a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3701 and 305.\nAnswer: 304.6299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2389, -2362, -2349, -2356, -2389?\nAnswer: -2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from qqpffdpqfpqpq.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 11:16 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, e: 1, v: 6, f: 5}. What is prob of picking 2 v?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 3, -2, 4 in increasing order.\nAnswer: -2, 2, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.56 + -1.86. Put -4\/5, 7, 2\/9, l in ascending order.\nAnswer: -4\/5, l, 2\/9, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2257 + 2259. What is the closest to -2 in m, -3, 7\/6, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346193*4.\nAnswer: -1384772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92003*k + 236277.\nAnswer: 92003","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7432386503 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170474.\nAnswer: 2, 85237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 0 + 0)*(4 + 1 - 3) + (3 + 0 - 1)*(-2 + 0 - 1))*(1 + b - 1) as s + a*b and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 139 - 22. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*x + 6772 = 0, -5*o = -x - 4290 - 4175. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by (((-33)\/6)\/11)\/(2\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*c**2*n**4 + 134*c**2*n + 19*c**2 + 11 wrt n?\nAnswer: -32*c**2*n**3 + 134*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Let f(b) be the first derivative of 0*b - 67 - 26\/3*b**3 + 0*b**2. Determine g(f(s)).\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (12 + 2 - 6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 20 = -4*k + 2*m, 0 = 4*k - 4*m + 20. Solve k*t - t - 3*y - 13 = 0, -5*y = 4*t + 31 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 242774 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 17.7, -4, 3, 8, -6, 1\/11, -2 in decreasing order.\nAnswer: 17.7, 8, 3, 1\/11, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + -4 - (29 + -27)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-7))\/(40\/28)*1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 366*c*y**2 + 159077*c*y + 2*c - 1548*y**2 - 69*y wrt y?\nAnswer: 732*c - 3096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229928 = -11*g + 857764. Let b = g - 39675. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5408191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from gxxxxmjguxjxg.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 13*x. Let a be r(6). Let o(q) = -61*q**3 - q**2 - q + 1. Let w be o(1). Let n = w - a. Calculate the remainder when 154 is divided by n.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(2 - 2\/(-2)). Let q be 4\/9 + 4\/u. Factor -4\/3*p + 4\/3*p**3 - 2\/3 + q*p**2.\nAnswer: 2*(p - 1)*(p + 1)*(2*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1599*f + 5 - 564*f + 161*f - 5 to n*f + l and give n.\nAnswer: -2002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = 0. Suppose t = -1, 5*u - 301 = 2*t - 44. Let q be (-1)\/2 - u\/(-42). Is q at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/14 + 9\/7. Let u(a) = 3*a + 0*a + 5 - 4*a. Let k be u(-5). What is the highest common factor of k and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3751*o**3 - 3751*o**3 + 3*o**4 - 2 - o**2 - 3*o in the form s*o**3 + m*o**2 + r*o**4 + h + x*o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -148, -150, -152, -154?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 117021394.\nAnswer: 468085576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -202, -223, -258, -313, -394, -507, -658, -853?\n\"Answer: -p**3 - p**2 - 11*p - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.0160793 rounded to 1 decimal place?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25\/193 or -2\/23?\nAnswer: 25\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 105 = -25. What is the units digit of 0 + 2 + -2 + g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 a when three letters picked without replacement from {a: 2, g: 3, i: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -872, -2105, -3822, -6017, -8684, -11817, -15410?\nAnswer: -19457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2297986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 469738077 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/337770 and -57\/7.\nAnswer: 2364390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - 371\/4. Determine l so that -11\/2*l**2 - 1\/4 - i*l**4 + l**5 + 7*l**3 + 2*l = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 - -3\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 128*u**3 - 5*u**2 - 11*u - 7. Let f(j) = j**2 + 2*j + 1. Give 5*f(g) + x(g).\nAnswer: 128*g**3 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3379, -4959, -2327, 6623, 23997?\nAnswer: 51901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 2133?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-2*5)\/(sqrt(240)\/sqrt(5)) - (sqrt(112) + -3 - (-4 + sqrt(448))).\nAnswer: -sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 = 2*p + 3*p, 1 = 3*t - 4*p. Let j = 132398 - 132398.04. Which is the nearest to t? (a) -1\/5 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -26. Let j(d) = -27*d + 4. Let b be j(-2). Let l = b + -36. Which is smaller: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2891.9 rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 20) + (-5 - (7 - 4)) + 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36528, 73034, 109534, 146028, 182516?\n\"Answer: -3*c**2 + 36515*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 3.66.\nAnswer: -21.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 43815*k - 11 = -43813*k, 9 = -n - 3*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z - 1 + 4*z + 0*z)*(-3*z - 2*z + 2*z) in the form q*z + l*z**2 + y and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4298934cm in meters?\nAnswer: 0.004298934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.477 - 0.476614. What is u rounded to five decimal places?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 40612*f.\nAnswer: -4*f*(f + 10153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 943.4471 millennia to years.\nAnswer: 943447.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 - -11)\/(10\/(-7)). Let g = 94 + -472\/5. Let b = p - g. Calculate the common denominator of 41\/10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117)*-5 + sqrt(117) + sqrt(117) + 0)**2 - (sqrt(273)\/(sqrt(7) + sqrt(63)))\/sqrt(3)*2.\nAnswer: -sqrt(13)\/2 + 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -21. Let g be ((-18)\/63)\/(22\/b). What is the nearest to -0.1 in -1\/3, g, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7395 by -3.\nAnswer: -2465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 14*u - 20. Let x be (-5)\/(u + 3) + (-9)\/(-12). Which is the nearest to -1? (a) 0.3 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 59 + 0*b**2 + 0*b**4 - 32\/3*b**3 - 19\/5*b**5 + 0*b. What is the third derivative of i(q) wrt q?\nAnswer: -456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, k: 11, c: 2}. Give prob of picking 1 k and 1 p.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -35350000 to the nearest 1000000.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2252*w + 5924 - 5924.\nAnswer: -2252*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.99 - 0.01. Let f = i - -5.8. Round f to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -121 and -2010.9.\nAnswer: 243318.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 - -31 - -45) + -2 + -26 - 52.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(1*(-9)\/(-13))\/(3400\/22100)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + 51. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 + -0.3. Let g be (-3 - -13)*(-4)\/10. Let h be (-34)\/48 + g\/(-12). Sort h, -2\/13, v in decreasing order.\nAnswer: v, -2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 100*b**5 - 19260*b**4 + 937384*b**3 - 2287032*b**2 - 1027916*b - 106572 = 0.\nAnswer: -1\/5, 3, 83, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1225) - (sqrt(1225) - sqrt(1225)*4)))\/(-4*(sqrt(175) + sqrt(7)) + sqrt(7) - (sqrt(7) + sqrt(14)\/sqrt(2)*2)).\nAnswer: -10*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12022)\/14 + 10\/(-35). Let x be -1 - g\/((-1)\/1). Is 9 a factor of x\/(-16) - 1\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + 29cb8?\nAnswer: 29ccc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1044*h**2 - 5171 + 5171 to q*h + a*h**2 + i and give a.\nAnswer: -1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15541478?\nAnswer: 2, 31, 439, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 + 1.8. Suppose p + 3*u - 6 = -2*p, 0 = -u. Suppose p*i - 9 = 1. Put 1\/2, c, i in decreasing order.\nAnswer: i, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1027041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 17. Give u(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 878 = -9*g + 99*g - 3082. Suppose -t + 27 - 75 = 0. Let j = t - -70. What is the highest common divisor of j and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27 + 5?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1049*r + 471*r + 1453*r)*(-1 + 1 - 2) + (1 + 2*r - 1)*(1 - 1 - 1) to u + t*r and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggiqggpivivg. Give prob of sequence viiq.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 - c**3 + 2*c**3)*(-c**2 + 4*c - 4*c) + (2*c**3 - 4*c**3 + 0*c**3)*(c**2 - 2*c + 2*c) + 4*c**5 - 4*c**5 + c**5.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4*x*x*x*x\/(x**3*x)*x*(x*x**(-3\/23))\/x**(-3\/4) assuming x is positive.\nAnswer: x**(609\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 495 + 1?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0132 and 4.\nAnswer: -0.0528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1024 - 1000. Calculate the greatest common factor of i and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**4\/6 + 8*y. Let g(n) = 3*n. Give v(g(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.92 + 8. Let q = -0.08 + t. Which is the third biggest value? (a) 4\/5 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/66*(-1512)\/(-224)*(-4)\/(-6).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21053 is divided by 63.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -79. What is the greatest common factor of d and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 24*s**2 + 34*s - 151. Calculate p(9).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-8)*(-8800)\/(-1350)*4\/32. Do -1 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqq when three letters picked without replacement from bqqbvqqqqqvqvqvbb.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2038*q. Let v(b) = -2*b**2. Determine d(v(u)).\nAnswer: -4076*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1042 + -655. Let k = -271 + q. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 s when three letters picked without replacement from ssqnffbggfqqsgs?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 2454 + 4652 + 7903 = 97*o for o.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -819888, -819889, -819890, -819891, -819892, -819893?\n\"Answer: -u - 819887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61137*k**3 + 201995*k**2?\nAnswer: -366822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 47 (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/13, 2, -1\/2, -3\/4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.93 + -4.07. Let p = -32 - -37.4. Let y = -5 + p. Put k, y, -1\/14 in descending order.\nAnswer: y, -1\/14, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 103431001023?\nAnswer: -103431001033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 1c5881?\nAnswer: 1c587a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -69, -112, -163, -222, -289, -364?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-15)\/(-90))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dqddddddddddq?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/((-6615)\/392)*(-333)\/24?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2190465013\/1230 - -1780866. What is the common denominator of x and 73\/984?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-6) - (-11)\/(3465\/(-645)))*3?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/429264 and 143\/1385352.\nAnswer: 30477744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27892975 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*sqrt(13)*2 - sqrt(13)).\nAnswer: -28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -14. Let f = -50.4401 + 91.44034. Let i = q + f. Round i to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -32010*f - 60. Let u(v) = 10670*v + 20. Let c(j) = -8*u(j) - 3*y(j). Let s be c(-6). What is s rounded to the nearest one thousand?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1366790.\nAnswer: 2, 5, 31, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 19*z**2 - 24*z. Let r(l) = 20*l**2 - 23*l. Let f(t) = 5*r(t) - 6*s(t). What is the second derivative of f(n) wrt n?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3146 - 1723. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - 3.03. Let r = 52 + j. Let d = r + -49.000054. Round d to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104011573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -52.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -312 + 2493\/8. Which is the second smallest value? (a) 2 (b) -20 (c) -3\/5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 + 6714 - 6714.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 2*o**2 + 2*o - 4. Let k be t(1). Suppose 4*r - 6 = 14. Let z be -1 - 0 - (-2)\/r. Is z greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 1408*z**3 - 218*z**3 - 5*z**2. Let q be m(-2). What is q rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i - 4. Let u be 2 + 1 + 5 + i. Suppose -u*b = 2*t - 3*b - 26, -5*t - 4*b + 72 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 11*n - 9. Let m = 86 + -18. Suppose 7*t + 2 = -m. What are the prime factors of r(t)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (0 - 5) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 - 467761724*h\/7 - 27350128804931522\/7.\nAnswer: -2*(h + 116940431)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/32 and 25\/544?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -11)\/(5 - 4). Let x = c - 8. Suppose 0 = x*q + 2*q - 75. Solve 4*j - 5*i - 23 = 0, 0 = -3*j - 2*i + 5*i + q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -784.889.\nAnswer: 781.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9819.254 centuries?\nAnswer: 98192.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**4 + 30*p**3 + 75*p**2 = 0. Calculate p.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**3 + 2*u**2 - u + 6. Let f(n) = -4*n**3 + 2*n**2 - n + 5. Determine 7*f(w) - 6*v(w).\nAnswer: -4*w**3 + 2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109390 is divided by 951?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 855720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) -21\/32 (c) 0.2 (d) 0.3 (e) 1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0685 - -2\nAnswer: 1.9315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 580974 by 6.\nAnswer: 96829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 121 + 3125?\nAnswer: 3246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -5\/4 (c) 649 (d) 0.2 (e) 2\/5 (f) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-282)\/18 + 14)\/((-40)\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -1\/5 (c) -0.1 (d) -0.3 (e) -13516 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 289630 and 52660.\nAnswer: 579260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 67 = -4*u. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 6*o**2 - 9*o + 4. Let r be m(7). Let y be 2\/5 + r\/25. Let g be 10 - (y + 0)\/(-1). What is the greatest common factor of 50 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232750 is divided by 2873.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -7*k**5\/20 + 4*k**4\/3 + 26*k**3\/3 - 8*k**2 - 29*k. Factor c(g).\nAnswer: -(g - 4)*(g + 2)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 0, 0.0722, 61?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**4 + 0*j**4 - 2*j**4 + (-2*j + 2*j + 3*j**2)*(3*j**2 + 8*j**2 + 11*j**2).\nAnswer: 68*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-2)\/(-10)*55\/33?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-69164)\/(-8)*-1)\/((-1)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556666 smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.9, -3, -863, 61?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b + 404. Let f(a) = -25*a - 732. Give 6*f(q) + 11*o(q).\nAnswer: -18*q + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/((-82)\/574)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by -7.\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -430202*j**3*x**3 - 2*j**3 + 218*j**2*x**3 - 15555*j**2 wrt j.\nAnswer: -2581212*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -3 - 10) + (3 - (-16 + -3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3797*y**2 - y - 3999*y**2 + 8007*y**2 - 1 + 2*y**2 - 3*y**2 + 0*y**2 + (1 + y - 1)*(0 + 0 - 2*y).\nAnswer: 208*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 6:54 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27ba (base 12) in base 14?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 4, -5, -16134?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14*y**2 + 1. Let z(d) = 9*d**2 + 1. Let m = -9 - -19. Let n be ((-4)\/m)\/((-13)\/(-650)). Let g = n + 15. What is g*b(k) + 8*z(k)?\nAnswer: 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 1473904*f**2 + 3*f**4 + 1473901*f**2 - 21*f**3 - f**3 - 1 as y*f**2 + a*f**4 + w + z*f**3 + q*f and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166*x + 374*x - 2248*x to k + d*x and give d.\nAnswer: -1708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 0.4, -172?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2847689, 2847688, 2847687, 2847686, 2847685, 2847684?\n\"Answer: -r + 2847690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**2 + 2*d - 13. What is v(5)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121449730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 17. Suppose 40 + 6 = -2*v. What is the remainder when 117 is divided by s(v)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*r + 16, -r - 10 = r + 7*h. Sort -5, r, 4, -15 in increasing order.\nAnswer: -15, -5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by -2\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124381700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 128537000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 23 = -5*c, -2 = 3*c + d - 16. Let k be -4 - (-3 - 12\/16). What is the biggest value in -1\/9, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 18986.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 12. Suppose 5 = -2*b + j*b. Solve -5*g = -2*f - f, b*f = -4*g + 37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 28*x**2 + 4*x + 110. Let o be j(-15). Suppose 0 = 6*f - o + 668. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10044 and 620?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + a**2 + (0*a**2 + 0*a**2 + 2*a**2)*(0 + 4 + 2) - a**2 - 4*a**2 + 3*a**2 to v*a**2 + q + y*a and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*g - 721 + 613 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46773115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133572501.924168 + 0.12.\nAnswer: -133572501.804168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 3*c - 3. Let r be a(3). Let v = r + 7. What is the remainder when 10 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + j + 7 = 2, -10 = 3*n + j. Let a be (2\/n)\/(7\/(-35)). Let d = 1 + a. Solve 0 = -5*h + d + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104 by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*w = 1586, 808 = 2*a - 24*w + 28*w. What is the least common multiple of 4 and a?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by (-72*1\/5)\/((-171)\/2280)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = 0. Suppose -l = 2*s - 4*l + 15, -4*l + 12 = w. Let k = 7 + s. Which is the third biggest value? (a) k (b) 0.6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 28 = -2*r. Suppose r*n + 8 + 13 = 0. Let t = 17\/2 + -89\/10. What is the closest to -1 in n, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 42. Calculate the lowest common multiple of 2 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*u - 6240 = -54*u - 72*u for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 - 83. Let w = 25 + -15. Let n = w + 4. What is the highest common factor of n and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(2 + -2*sqrt(1800)) + -5*(1 + sqrt(1800) + -1)))**2.\nAnswer: 8640*sqrt(2) + 65376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5399*w = 61*w - 97063 - 49974 - 109583 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 4 - 4 + (-3 + 4 - 2)*(-2*l + 0*l + 4*l))*(4*l**3 - 4*l**3 - 3*l**3).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28770 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -112302301112 (base 4) in base 16?\nAnswer: -5b2c56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 17*o + 21*o = -11, 4*h = -4*o - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-550)\/(-33) - 17)\/((-2)\/(-8)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3\/5 - 62747449*x**2\/5 + 20915816*x\/5 = 0. What is x?\nAnswer: 0, 1\/3, 20915816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 258\/4*((-20)\/(-55))\/((-2304)\/4224)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 30 = 5*o, 27213*f - 27217*f = 5*o - 26. Factor -12\/7*s + 2\/7*s**o + 2\/7*s**3 + 0.\nAnswer: 2*s*(s - 2)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32580*x**2*y**3 - 15*x**2 + 62*x*y - y wrt y.\nAnswer: -195480*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11017 + 16574. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151958003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, 3.3, -0.5 in decreasing order.\nAnswer: 99, 3.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114353, 114437, 114523, 114605, 114677, 114733, 114767?\nAnswer: 114773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*g - 69, 12 = 4*g + i - 50. Let d = -15 + g. What is the derivative of -10 + 11 + 4*u**3 + d*u**3 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122312.\nAnswer: 2, 15289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 2. Let s(a) = -2*a**2 - 2*a - 1. Let r be s(-1). Let u be r + -1 - (-1 - 1). Suppose u = 2*q + 2*f + 12, -4*q - 3*f - 9 - 14 = 0. What is x(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862236.285 rounded to the nearest 10000?\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r + 2. Suppose 0 = -3*z + 5*w, -5*z + w + 3*w = 0. Suppose z = 5*u - 0*u + 15. Let b be s(u). Solve -4*n - h - b = -3*h, -n - 5 = 3*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134659241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -10, 2\/5, 20, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000483325 to 5 dps.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 10:40 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*b**5 + 102*b**4 - 52*b**3 - 552*b**2 + 368*b + 576 = 0. What is b?\nAnswer: -2, -4\/5, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 468249973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 262 and 88736.\nAnswer: 11624416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 382\/(-5730)*(-12)\/(-3)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*-6)\/(2\/(-56)). Let w be h\/(-10)*30\/(-9). Suppose 4*u - 36 = 20. Calculate the highest common factor of w and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 17 = 3*r, -7*r = 2*h - 82. Suppose -3*l = -2*l - 3*x + 9, -4 = 4*l - 4*x. Suppose 38 = l*u - 13. What is the highest common divisor of h and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/(m**(-2\/5)\/m))**(20\/9)*(m**(2\/7)*m)**(-5\/2)*(m**(-1\/4))**(-2\/7) assuming m is positive.\nAnswer: m**(838\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 75819*x + 151663. Calculate h(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/26*1*(-52)\/(11960\/(-69))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -9651.4\nAnswer: 675.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3961571445 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20016 is divided by 4709.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**3 - 167*d**2 - 4*d**3 + 168*d**2 as s*d + q*d**2 + z*d**3 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3827 - -425. Suppose 2*z - s - 1165 = 967, -4*s + g = 4*z. What are the prime factors of z?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l - 171 + 169 - 2*l**4 - l**4 + 3*l**3 in the form m*l**4 + n*l**3 + p + z*l + b*l**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 + 3*n**3 + 3*n**2 + (-3*n**3 + 122*n - 4*n**3 - 116*n)*(6 - 3 - 4) to c*n**2 + y*n + o + g*n**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*z**3 + 112*z**2?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 14*p**2 - 12*p + 16. Let u be i(-13). Let b(c) = -c**3 - 2*c**2 + 4*c - 1. Let s be b(-4). What is the greatest common factor of u and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 21, 57, 99, 147, 201?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpqppp. What is prob of sequence qppq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 13946820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/21)\/(2*6\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 15 = -7*g. Let q(u) = -3 + 5 - 5*u + 4*u + 3*u. What is q(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Let f be (1 - r) + 7 + -6. Which is the biggest value? (a) 0.3 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 66 - 5*u - 46 in the form d*u + v and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 31752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 176*l**3 - l**2 - l. Suppose 4 = -6*t + 16. Is g(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 31*g - 36. What is the remainder when p(-11) is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gls. What is prob of picking 1 g and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 5182884.\nAnswer: 5182884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 14. Let x(q) = q**2 + 4*q + 2. Let k be x(-4). Suppose j + 5*h = 19, 44 = -4*j + k*h + 2*h. Give d(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/38*(-64)\/(-32). Which is the nearest to -2? (a) 3 (b) -0.1 (c) 0.05 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/(-322)*-1)\/((-2)\/(-8)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 2770 - 3*f**2 + 2766 - 5534. Let p(u) = -4*u. Give i(p(l)).\nAnswer: -16*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 6*q + 5. Let i be u(-11). Let s = i - 22. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dcddhddchcchhdh. What is prob of sequence hddc?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + -6 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 408*b**2 + 20*b + 18. Is 20 a factor of w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -11*p**2 - 21*p - 180. Let k(n) = -35*n**2 - 64*n - 542. Let x(v) = -3*k(v) + 10*r(v). What is the derivative of x(d) wrt d?\nAnswer: -10*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4358 less than or equal to 223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151786 (base 9) in base 15?\nAnswer: c5149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 6660.1088 and -0.218.\nAnswer: 6659.8908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50.2 and 2.237.\nAnswer: -112.2974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 14 = z + 1, 9 = -3*k. Suppose -5*y - z*d = -3*y, -d + 5 = 0. Let p be -2 + 2 + 4\/y. Is p at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-210)*(-7)\/(-20).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/18 and 95\/1808?\nAnswer: 16272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.0872*-3\nAnswer: -3.2616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glg when three letters picked without replacement from {s: 4, c: 2, q: 1, l: 7, g: 4}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q + 29 = -63 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-2\/57)*h**(-2)*((h**(-23)*h)\/h)**(-36) assuming h is positive.\nAnswer: h**(47137\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 7*j**2 - 5*j + 8. Let m be b(-6). Suppose -5*x - m = 3. Is 0 - x*(80 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*a + 22 = 0, -6*t + t + 4*a - 48 = 0. Let l = t - -12. Suppose l*c - 16 = 0, 2*j + 3*c = j + 431. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406 + 885 = 24*g + 3081 - 746 for g.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times -1.1?\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*u - 66*u - 11*u**3 + 14*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022550528 less than -0.06?\nAnswer: -0.037449472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*t**3 + 589*t**3 + 90*t**3 + 202*t**3 - 179*t**3.\nAnswer: 1221*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 18\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**5\/4 + 81*h**4\/2 + 855*h**3\/4 - 4305*h**2\/2 - 9063*h + 10962 = 0.\nAnswer: -6, 1, 7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12478.27 and 1.08.\nAnswer: 12479.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -39, -55, -77?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 0.9. Let v be 2 - 1*-2*-4. Let w = v - -6. Which is the closest to o? (a) -1 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbiib. Give prob of sequence bbib.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130862 - 65816. Suppose -4*n + c = -2*j, 0 = -n + 4*j + 10552 + 5720. Let a = n - -121740. What is a rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(252))\/sqrt(9))**2 + ((sqrt(1400)\/sqrt(8))**2 - (sqrt(112)\/sqrt(4))**2).\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 107, 160, 213, 266, 319?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjxxgxcycy. What is prob of picking 1 c and 1 x?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*2)\/(sqrt(1458)\/sqrt(2)) + 4.\nAnswer: 10*sqrt(2)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 793 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) -67 (b) 2\/15 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6)*(-5 - 27\/(-6)). What is the second biggest value in -0.2, 5, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1404)*1)\/(sqrt(363)*-1)*-4.\nAnswer: 24*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*f - 18, -4*f = 4*l - 10 - 14. Suppose -2*t = -3*m - 5*t + l, 0 = -3*m + 5*t - 23. Sort -5, m, 5, 4 in decreasing order.\nAnswer: 5, 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -6.08, 2, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -49737.04 to the nearest 1000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 207952 and 6340.\nAnswer: 1039760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106066*u**2 + 294*u**3 + 75*u**3 - 106062*u**2)*(3 + 1 - 2).\nAnswer: 738*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32589 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.09 or -1486?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*c**4\/3 + 1517090*c**3\/3 - 284223152*c**2\/3 - 228106712*c\/3 - 15223296 = 0 for c.\nAnswer: -30528, -2\/5, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 4*j**2 - 2*j - 2. Let c be a(2). Suppose -m + 100 = v, 3*m + c*v = -m + 404. What is the highest common factor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17484 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88452\/(-56)*((-20)\/6 - 0)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3243 is divided by 809?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01117 and -4.\nAnswer: -0.04468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) + -2*sqrt(126) + sqrt(126) - sqrt(126)) + sqrt(126))*5)\/(sqrt(2) + sqrt(8)*-5) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 > 190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 5. Suppose -h + 5*h = 4, 5*f + 4*h = -11. Which is bigger: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*x + 2 + 2 = 0, -3*l - 5*x = 11. Which is the closest to 2\/5? (a) l (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2. Suppose 3*c = t + 5*c - 7, 0 = 3*t - c - 21. Suppose -3*n = -5 - t. Let i(x) = 10*x**2 - 5*x**2 - n*x**2. Give i(j(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5393074*u**4 + 3467448 wrt u.\nAnswer: 21572296*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119.9 - -18.16. Let b = x - -100. Let f = b - -1.74000189. What is f rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23206?\nAnswer: 2, 41, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.7 + -21. Let b = -11 + a. Let z(n) = 3*n - 2. Let h be z(2). What is the second smallest value in h, -2\/13, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*37303861.\nAnswer: -18651930.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 644 and 9324?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t - 108. Let j be i(-4). What is the nearest to -0.1 in j, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2 (c) -9\/5 (d) -3 (e) -0.374\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(425)*4.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y - 117 = -37*y. Solve 5*b + 0*b - 30 = -5*g, 0 = 3*b - 2*g - y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/6)\/(-5 - (-1398)\/279). Let i = -596 - c. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1394 greater than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-2\/11)\/c))\/c*c)**(-1)*(c**(1\/6)*c*c)\/(c**(-2\/11)*c*c) assuming c is positive.\nAnswer: c**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5940 by 9.\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115414527 is divided by 330?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -228\/913, 1, 1\/5, 0.01?\nAnswer: -228\/913","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105.11721us to minutes.\nAnswer: 0.0000017519535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(2\/11)*y**(4\/9)*(y*(((y\/y**(2\/5)*y)\/y)\/y)\/y)**9 assuming y is positive.\nAnswer: y**(-1157\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 15 + 269 + -275\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-40)*(-23181)\/(-9). Let h = i - -771. Find the common denominator of h and -107\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 0)*(0*n**3 + 2*n**3 - n**3) + 0 + 0 - n**3 - 8*n - 4*n**3 + 9*n**3 - 7*n**3 to u + w*n + h*n**2 + b*n**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 7*p**2 + 7*p - 12. Let a be m(6). Is (244\/3)\/((-4)\/a) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1728 by 8.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s = q + 2, q - 2*s = -4. Put q, -4, -3 in decreasing order.\nAnswer: -3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 12515 = 3*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -44*l - 3. Let s be d(-2). Suppose -5*x = -n + 5*n - 340, 3*n = 0. Suppose -45*y = -41*y - x. What is the greatest common factor of s and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42865353 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6122406397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 31 = -6*c. What is the highest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (192\/30 - 4)*40\/(-16). Let q(w) = -w**2 - 10*w - 13. What is q(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5\/57 - -65\/19. Suppose -54 = -4*u - 6. Find the common denominator of u and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(100))\/sqrt(5))\/(sqrt(196)*1 - sqrt(196) - sqrt(196)).\nAnswer: -sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from mloo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 33 = 3*b, b - 2 = -d + 7. Let k = 152 - d. Calculate the smallest common multiple of k and 4.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 290 + -263. Which is the closest to -0.1? (a) f (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-6)*(-532)\/(-228)*99\/77\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/49 in -3, -0.2, 26\/3, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + h + 35, -u = 3*u + 2*h - 50. Let l = u - -2. Suppose 7*i + l = 3*t + 2*i, i + 4 = t. Calculate the smallest common multiple of 2 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13*x - 163. Let m be p(12). Put -4, 4, 1, m in ascending order.\nAnswer: m, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140241200 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/(-9))\/(-1) + (-3)\/9. Suppose -a*t - 14 = -v, 0 = -v - 3*t - 4 - 6. Solve 0*l - l = -5*z + 14, 5*l - v = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 - 3)*(2 - 5 + 1) - 3 + 5 - 3 + 3 - 4 + 5 + 0 + 0 - 2)*(-2*h**2 + 2*h**3 + 0 + 0).\nAnswer: -6*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*n + 1 = -0*n, 2 = 2*w - 2*n. Suppose -g - t = -3 - 2, -2*g - 11 = -w*t. Solve g = a - 0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30360 divided by 518\nAnswer: 15180\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 84842\nAnswer: -25452.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 3*j. Let d = 22 - 19. Calculate the remainder when 24 is divided by h(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3152631 (base 8) to base 12\nAnswer: -346909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*(i\/(i\/i**(-3\/17)))\/i)\/(((i*i\/(i\/i**(8\/9)*i)*i*i)\/i)\/i*i*i*(i*i*i**(2\/17))\/i) assuming i is positive.\nAnswer: i**(-181\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Solve 0 = -0*w + w - o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-129)\/(-4) - (-6)\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 5 (c) -2\/3 (d) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8868, -18064, -27268, -36486, -45724, -54988?\nAnswer: -64284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4018*a**2. Let f(s) = -82*s**2. Let z(c) = -246*f(c) + 5*w(c). Let l(p) be the second derivative of p**3\/3 - 33*p. Calculate l(z(y)).\nAnswer: 164*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 1783 - 210 + 461 + 7*q + 2497.\nAnswer: 8*q + 4531","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1134*b**2*k**2 + 135*b**2*k - 5*b*k**2 + 17*k**2 + 136551 wrt b.\nAnswer: 2268*b*k**2 + 270*b*k - 5*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 7. Let d be i(6). Let t = 0.2 - 0.4. Let v = 19\/50 + 1\/50. Which is the biggest value? (a) t (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166357 + 0.0310692031?\nAnswer: -166356.9689307969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.072649.\nAnswer: 0.145298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 137 = 2. Suppose -2*l = -78 - 4. Suppose -p - l = -4*s. What is the remainder when 49 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + l = -7, 3*s - 1 = -4*l + 3*l. Suppose 5*y - 252 = 3*y. Suppose s*p = -p + y. What is the highest common divisor of p and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -266.5 - -28.3. What is q rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-12)\/32 + (-1)\/(-2). Let v be 2 + 360\/(-143) - y\/(-13). Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 556 = -3*j, -5*a + 935 = 5*j - 10*a. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.132 minus 17?\nAnswer: -16.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -8 - (-3 + (-1 - -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126771360 divided by 6540.\nAnswer: 19384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 18290448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -714, -1309, -1900, -2487, -3070, -3649?\nAnswer: -4224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 10 = 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 1. Let w(f) = f - 4. What is -w(p) - 2*y(p)?\nAnswer: p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 812 = 252. Let x = -182 - o. Suppose -17*b - 14 = -18*b. What is the highest common factor of x and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 6:10 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 = -h, 3 = 4*h - 2*h - l. Let d(o) = 126*o + 8. Let a(n) = 253*n + 16. Let f(i) = h*a(i) - 7*d(i). Is f(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q\/(q*q**(-17)))\/q)))**(4\/17)\/(q**16*q*q)**(-1\/29))**27 assuming q is positive.\nAnswer: q**(58374\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 27856 = -6048. Let z be (-100)\/(2 + c\/4240). Round z to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 834.9414 - 835. Let m = -0.9414 + w. Which is the closest to 2\/5? (a) m (b) 3 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 28*i**2 + 3*i - 8. Let r be ((-3)\/(-6))\/(3\/18). Suppose 4*k - 17 = -r*l, k = -4*l + 4*k + 31. Is z(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3808306 divided by 3434\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1035*y**3 + 2051*y**3 + 2*y - 1024*y**3 - y**2. Determine u(2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(216) + sqrt(216)*-3)\/sqrt(6))\/((sqrt(768) - ((sqrt(768)*-1 - sqrt(768) - sqrt(768)) + sqrt(768))) + sqrt(12)))**2 + -3.\nAnswer: -3738\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6341 + 133327\/21. Let h = g - 2369\/294. Find the common denominator of h and 87\/70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22525 smaller than -22525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3232 = 9*j + 1565. Let g = j - -777. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ssccsscsscsccccc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 1. Let z(a) = 9*a**2 + 9. Suppose 96*b - 61 = 176 + 147. Give b*n(t) - z(t).\nAnswer: -5*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 1. Let r(x) = -14*x - 1. Determine l(a) - r(a).\nAnswer: 13*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8725*y - 111371. Determine s(-13).\nAnswer: 2054","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vayadqqvqmvdqam. What is prob of sequence yd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586, -1289, -1992?\nAnswer: -2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a - 4?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:57 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 2. Let a be x(-5). Find the common denominator of (-5 - -2) + 267\/33 and a + (-3)\/(-6) + 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 5, -50695, 63, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 571487 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(68) + 3)**2 + sqrt(153)*2 + sqrt(833)*1.\nAnswer: 69 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 5, 8, -4, 11, -151.\nAnswer: -151, -4, 5, 8, 11, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19.351 in 9\/20, -0.3, -3?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.9, 22, -5, -2, 0.2, 41.1, 4 in descending order.\nAnswer: 41.1, 22, 5.9, 4, 0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**6 + u**3\/3 + 90*u - 680. What is the third derivative of j(b) wrt b?\nAnswer: -360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685039 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*d = d - 6, 0 = 4*r - d - 8. Suppose 0 = -5*t + 3*t + r*m + 710, 3*t - 2*m - 1070 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 3, v: 1, c: 2, i: 3, n: 3}. What is prob of sequence cn?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**6\/6 + 29*w**5\/4 - 280*w**4\/3 + 490*w**3\/3 - 122*w. Suppose d(g) = 0. Calculate g.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94109 minus -1?\nAnswer: 94110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2343 (base 7) in base 16?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 398729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2. Let v(b) = -36*b**2 - 185*b. Let s(j) = -13*j**2 - 62*j. Let t(m) = -11*s(m) + 4*v(m). Give t(o(k)).\nAnswer: -4*k**4 - 116*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 95268.\nAnswer: 190536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 4*k - 4*k)*(-3 - 2 + 3)*(2 - 3*k - 2).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpdpp. What is prob of sequence ddp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = h + 16. Suppose -2*a + 13 = 3*d, -h*a - a + 16 = d. Solve a*s = s - r, 5*r = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2989*0.0472.\nAnswer: -141.0808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 58254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 65, 85, 101, 113, 121, 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111518569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.1 + 47. Which is the closest to p? (a) 1.2 (b) -1\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o - 4*v + 19 = 0, 2*o = 4*v - 10. Suppose -4*n + 2*n = 8. Let q = o - n. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595840 is divided by 128?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -694*a**2 - 4*a + 1. Let c(y) = 1386*y**2 + 10*y - 2. Calculate -3*c(l) - 7*g(l).\nAnswer: 700*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10507\/1815 + -4\/363. Let p = -6 - k. What is the common denominator of (-1356)\/60 - (-8 + -2) and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 288 + 21?\nAnswer: 2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + 0 + -2*(sqrt(68) - (3 + -3*sqrt(68))) + 1)**2 + -1.\nAnswer: -320*sqrt(17) + 4451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3936 to two dps.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**5\/4 - 755*q**4\/4 + 3895*q. Determine i, given that n(i) = 0.\nAnswer: -453, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {j: 4, y: 2, v: 1, o: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 0.1 (c) 3\/8 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 267503803 and 73349.\nAnswer: 267503803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 2. Let m be w(-3). Let y(r) = 6*r**3 - 25*r**2 - 42*r + 143. Let x be y(2). What is the nearest to 1 in x, m, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-3)\/48*56\/14?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -334?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 27. Let l = m - -4.75. Let v = l + 31.25. Which is the closest to v? (a) -4 (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59423189 is divided by 4718?\nAnswer: 4697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times 101\nAnswer: -181.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -52040 (base 7) in base 10?\nAnswer: -12719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 356 and 159860287?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -10. What is the greatest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2\/11 - 15596*a\/11 + 156160\/11 = 0 for a.\nAnswer: -7808, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 2*t + 3. Let y be i(-3). Suppose y*f - f = 0. Let w be 3\/((-3)\/(-8)) - f. What is the greatest common factor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -3. Suppose 6*b + 12 = 2*b + 2*t, -5*b + 3*t - 17 = 0. Let q be (b - (0 - 1))\/2. Solve q = 4*a + m*g + 8, -3*g = 3*a - a + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 1413*r**4 - 4*r**3 + 0 - 1805*r**4 + (-2*r**2 - 3*r**2 + 3*r**2)*(-1 - 2*r**2 + 1).\nAnswer: -388*r**4 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*s**3 + 9 + 9 + 9*s**3.\nAnswer: 49*s**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4256 - 4231. Let c(d) = d**3 - 24*d**2 - 26*d + 17. Calculate c(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*c**3 + 1081 - 270 - 266 - 272 - 273.\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**6\/27 + 4*u**5\/45 + 7. Factor h(n).\nAnswer: -2*n**4*(n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 7. Let d(y) = -6*y - 15. Calculate 4*d(s) - 9*o(s).\nAnswer: 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42348?\nAnswer: 2, 3, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -79029 * 3\nAnswer: -237087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -674991*b + 2024980*b - 674992*b - 674995*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 749\/9 - (-8)\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277793410?\nAnswer: 2, 5, 37, 677, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 8:26 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -74333*h + 2081297. Determine v(28).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 120 = -3*w + w, -2*n = 3*w - 37. Suppose -z + 3*z - 3*b = 8, z - n = -4*b. Solve k + 0*k = -4*u - 1, 3*k + 5*u = -z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 140338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 7:37 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, q: 2}. What is prob of sequence ffqq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = b - 3*b + 8334, 10 = -2*b. Is 3\/(6264\/f - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558 + 1890 = 74*i for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000589070683 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-3)\/(-127) - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 443*l**2 - 638*l**3 + 3*l - l + 442*l**2 to f + d*l**2 + g*l**3 + k*l and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -11641.16 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*r + 831 - 831 + (-2*r + 2*r + r)*(-52 - 36 - 61).\nAnswer: -93*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62692507 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + q + 243128*q**3 - 243114*q**3.\nAnswer: 14*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 4*f. Let y(o) = 2*o**2 - 5*o. Let u(z) = z + 14. Let m be u(-12). Determine m*y(v) - 3*k(v).\nAnswer: -2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149714 is divided by 24131.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 15*w**2 + 12*w + 12. Let t be a(-16). Let b be (-1)\/(-1) - 1*10. Let i be 2\/b - t\/18. What is the greatest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 61 = 24*c. Sort -2, c, -5.\nAnswer: -5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21537)\/35895*(-75)\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -20*m - 1 + 11*m - 18. Let y be f(-6). Solve -j + 5*n = -6*j + y, -6 = 2*j - 3*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/14 and -13\/17708.\nAnswer: 123956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**2. Let m(w) = 405*w**2 + 10. Let j(c) = -5264*c**2 - 128. Let p(x) = 5*j(x) + 64*m(x). What is v(p(l))?\nAnswer: 800000*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 401258460 to the power of 1\/2, to the nearest integer?\nAnswer: 20031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 20*s - 25*s + 400 = 0, 5*s = 5*h - 1940. What is the highest common divisor of 60 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 1\/6*b**4 - 1\/60*b**5 - 2\/3*b**3 + 0 + 0*b - b**2. Give q(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 4*b + 3. Let c be l(-3). Suppose -2*a - 2*a = c. Solve 3*f = -4*z + 6, -3*f + a = -4*z - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3008342.\nAnswer: 2, 1504171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1282 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4, p - 5*v + 8*v = 20. Calculate the remainder when 129 is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1) + -1 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 721.4 and 0.6.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + 11 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4446.99999608 + 4447. Round s to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -552 - 428. List the prime factors of o.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1349*1\/(-9) + 32\/288. Suppose -23*v + z = -8*v. What is the remainder when 16 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20967, -20839, -20733, -20661, -20635, -20667, -20769, -20953?\n\"Answer: -2*p**3 + p**2 + 139*p - 21105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104964498 by -6.\nAnswer: 17494083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 768, 1692, 2986, 4656, 6708?\nAnswer: 9148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 289 - 273. Calculate the smallest common multiple of 4 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 119 = 2*r + 100, 5*r = 11*i + 39. Solve 3*h - 8*h = r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -33400*h**3 - h**2 - 5*h - 4. Let a be m(-1). What is a rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p = 2*d - 6522, -3268 = -d + 3*p. Suppose -310*x = -317*x + d. Is 73 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045008 to the power of 1\/2, to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 32*p - 24. Does 8 divide j(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465920 divided by 20.\nAnswer: -23296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 5\/4, 10, 0.23 in decreasing order.\nAnswer: 44, 10, 5\/4, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + (-7)\/((-21)\/1551546) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3 - 217 = -4*z, -4*z + 224 = -3*r. Which is smaller: 1014\/17 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17*(-35)\/(-20) - (-4)\/16. Sort 4, r, -1 in descending order.\nAnswer: r, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*70\/(-44) - 3\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1312 - 23333332203?\nAnswer: -23333330231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 1 c when three letters picked without replacement from zuzczzczzzzxzxuizuc?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5\/6 (b) 6\/11 (c) -0.5 (d) -0.2 (e) 16 (f) 2 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 + -6 + -1 + 1. Let h be 25\/n + (-18)\/(-81) + 1. Solve 0 = -0*i - h*i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-16)*-2 + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3 - 69\/((-1166445)\/10976).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15004\/15 at most as big as 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 q when three letters picked without replacement from xqrrrrqqqqrrr.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 2*a**7\/21 + 2*a**6\/15 - 2*a**5\/5 - 35*a - 20. Let i(s) be the first derivative of c(s). Solve i(x) = 0 for x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65285?\nAnswer: 5, 11, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1985968 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8722439*y**2 + 8722453*y**2 - 17444909*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2.5, -13\/3, -2\/3, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6957.86053 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -5*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 2, 30, 0, -9, 4, 12 in increasing order.\nAnswer: -71, -9, 0, 2, 4, 12, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18257, 36523, 54791, 73061, 91333?\n\"Answer: n**2 + 18263*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 0.8. Let v = 1 + n. Let p = 0.00005 - v. What is p rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 7830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yznznmf. What is prob of sequence mfz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 41. Let p = 3 - a. Let w = 0.05 - 0.05. What is the closest to 1 in w, -8, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 128312264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010010011000 (base 2) to base 6.\nAnswer: -40224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeep when four letters picked without replacement from pepeeepe?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 2\/(-2) + 5. Suppose t*o - 10 = 5*j, 2*o + 15 = -0*o - j. Let i(p) = p**3 + 6*p**2 + 6*p + 5. Let y be i(o). Solve -2*m + 0*m + 4 = y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 5\/4 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 divided by 7?\nAnswer: -101\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87153 and 285.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26561*k**2 - 28196*k**2 + 51584*k**2)*(0*k + 3*k**2 + k - k**2).\nAnswer: -6346*k**4 - 3173*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 200770 or 200771?\nAnswer: 200771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -10. Suppose -26 = -x + 5*q, u*x + 0*x - q = 16. Is (2\/x)\/((-1)\/(-573)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/19? (a) -5 (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6*(12 - 10). What is the third biggest value in -2, -8, m?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*-5*3\/6. Let m(z) be the third derivative of 1\/6*z**4 + 0 - z**2 - 2\/3*z**3 + 0*z. Let x(y) = 10*y - 10. What is d*x(p) - 12*m(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(2 - 2 - g**2) + 54*g**2 + 5 - 2 - 63*g**2.\nAnswer: -11*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1960.7 and 0.1.\nAnswer: -196.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4 (b) 1.2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1131336 and 4256?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4978)\/(-393)*(-9)\/12)\/(2\/8)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -39. Suppose -2*p - 6 - 2 = 0, -5*p - 28 = -4*z. Suppose 115 = z*l - 5. What is the greatest common divisor of i and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -28*w**3\/5 + 304*w**2\/5 - 524*w\/5 + 248\/5 = 0.\nAnswer: 1, 62\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 + 29*u**2 - 17*u + 21. Let t be g(13). Let j = t + -184. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7203223?\nAnswer: 17, 19, 29, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1074 + 339*d - 532 - 538)*(-3*d - 2*d - d)*(-d - 2*d + d).\nAnswer: 4068*d**3 + 48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59917 and 715.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p + p + 3*p)*(-2*p - 1 + 1) + 0*p**2 - 10*p**2 - 9*p**2)*(-16*p - 25*p - 12*p).\nAnswer: 1113*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*z = -72 - 225 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.6637 + 0.3123. Let h = d - -0.024. Let v = h - 32. Which is the nearest to 0.1? (a) -2 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30327 - 93 = 30*n. Which is smaller: -1016 or n?\nAnswer: -1016","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 10*o**2 - 2*o - 20. Let l be h(-10). Let q be (l - 2)\/(15 + -20). What is the closest to -2 in q, 2\/17, 1\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000569499 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 500*g - 490*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 213698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406399 is divided by 713?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 124.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2712.39 meters?\nAnswer: 2712390000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + 18. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 - -391?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -244\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + 3 + -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - d = 9, -4*j - 69*d + 27 = -68*d. Solve 4*v - 12 = -3*i + 8, 0 = -2*i + v + j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*4\/40*(-10)\/8.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2255097 by 2255097.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:29 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tthtehcetvtchses. What is prob of sequence vc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(243)*-1 + -2 - (sqrt(243) + 1)**2*-2).\nAnswer: 27*sqrt(3) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154023359 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.026 (b) -9 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**3 + 215*s**2 + 921*s - 7. Give b(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 24*b**2 - 15*b + 42.\nAnswer: -3*(b - 1)*(b + 2)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:33 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126781079*i**2 - i + 3559404 wrt i.\nAnswer: -253562158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from {r: 1, s: 5, n: 4, f: 3, j: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -110, -3, -13 in descending order.\nAnswer: -3, -13, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 38. Suppose -q + 4 = -b - 3, 0 = -5*q + 2*b + 29. What is the highest common divisor of r and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j = -10*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3901*t**3 - t**2*w - 140*t + 1378624*w + 6 wrt t?\nAnswer: 11703*t**2 - 2*t*w - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + (-6 - -3) + 4. Solve -3*n - g = -17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-196) + 73719\/1134 + 9 + 4\/(-18)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 52 - 4. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 8*l + 10. Let v be m(8). Suppose -b + 41 = -4*i, 1 = 3*i + v. Suppose -o = -2*o + b. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*w + 4. Let h = w + -11. List the prime factors of -250*h\/(-4) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 0 - 15*(-14)\/(-35)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135300 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-22) - (-72)\/33. Suppose -2*o + 4*i = 3*i - 13, -i + 7 = w*o. Suppose 5*f + 2*a = 35, -a - 6 = -2*f - 1. Solve -f*h + o = -0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.428 - -1.328. Which is the third biggest value? (a) y (b) -12 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:35 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -110*h - 33. Let q(n) = -17*n - 5. What is 33*q(a) - 5*v(a)?\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 760938892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28875905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4571 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**6\/120 + c**5\/20 + c**4\/6 - c**3\/2 + 5*c**2. Determine y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.13 + -21255.204971.\nAnswer: -21274.334971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - 10193055314051.\nAnswer: -10193055314084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*m + 6, -9*u + 72 = -3*m. Solve -4*x + 2*g = -6, -4*g = 41*x - 43*x + u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, -1, 189, 0, 23 in descending order.\nAnswer: 189, 23, 2, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 28495313 in decreasing order.\nAnswer: 28495313, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1584) - (2 + (sqrt(1584) - (sqrt(1584) + 0))) - sqrt(1584)) - (3 + -2 + sqrt(1584) + sqrt(1584) + 3))**2*4.\nAnswer: 1344*sqrt(11) + 25540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180264 and 140128?\nAnswer: 108879456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 2*k - 4 = -k, 3*k + 12 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p**2 + 206*p**3 + 19*p**2 - 67*p**2 - 182*p**3 + 23*p**2.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((5\/153)\/(-5)). Let w be 1\/(-5) + z\/15. Suppose -4*m = n - w, 0*n - 16 = -2*n - 4*m. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1558 (base 11) in base 14?\nAnswer: -a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 29\/10. Let v = -4.395 + 0.395. What is the closest to 1 in -1\/3, v, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-24)*o**28 assuming o is positive.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -482 + 462. Let b be -2 - -2 - (-8 - 130\/h). Factor 0 - t + t**3 + b*t**4 - 3\/2*t**2.\nAnswer: t*(t - 1)*(t + 1)*(3*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108.5 + -108. Let c = -47\/28 - -10\/7. What is the closest to 0 in 0.3, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n - 4. Let t be p(1). Solve -4*q + 5 = -3*r, -q = -2*r - 0 - t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-1)\/(-105)*9. Let k = 44 - 485\/11. Sort k, 1, g, -1 in decreasing order.\nAnswer: 1, g, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*2*-2 + sqrt(187))*-4)\/(sqrt(176) - (sqrt(176) + -4*-1*sqrt(176) - sqrt(176)) - sqrt(176)).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {l: 17, a: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 5*n + 1. Let o(j) = 5*j**2 - 15*j + 3. Give 3*o(x) - 8*s(x).\nAnswer: -x**2 - 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -51. Solve k*i - 6*c + 5 = -c, -3*i - 27 = 4*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by 97?\nAnswer: 168\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 5325.\nAnswer: 15975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -944*r**2. Let l(s) = -57*s**2. Determine o(l(v)).\nAnswer: -3067056*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-86)\/(-387))\/(1 - (-37)\/(-35)) and 647\/(-231) + (-2)\/(-7).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/22)\/((105\/(-14))\/15)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -15*z**2 + 11*z - 9. Let n(j) be the first derivative of 7*j**3\/3 - 5*j**2\/2 + 4*j - 3. Suppose 0 = -5*r - 26 - 39. Determine r*n(o) - 6*m(o).\nAnswer: -o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 12*s**2 - 3*s - 12.\nAnswer: 3*(s - 1)*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 27*j. Let h(t) = -t**2 - 38043*t. What is h(z(y))?\nAnswer: -729*y**2 - 1027161*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**5 + p**4 + p**3 - 1. Let j(v) = -13 + 40*v**5 + 4 + 4*v**2 + 7 - 42*v**4. Let g(a) = 2*b(a) - j(a). Suppose g(t) = 0. Calculate t.\nAnswer: -2\/7, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49074659 or -49074658?\nAnswer: -49074659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 116444460 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 - 3*g**3 - 12*g**3 + 4*g**3 + 9*g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 + 11*h - 8*h + 18*h - h**2 - 1 in the form d*h + s*h**2 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 5*t + t)*(-9 + 24 - 10) - 1 + 1 + 2*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3800, 15397, 34770, 61907, 96796, 139425, 189782?\nAnswer: 247855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2405144 (base 6) in base 12?\nAnswer: -607b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*s + 1)*(5*s**4 - 3*s**4 + 0*s**4) + 1 - 2 + s**5 - 2.\nAnswer: 5*s**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -263, 0, -0.19, -1\/18, -1?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 492435 and 2019960?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, q: 1, s: 1, u: 1, w: 4, n: 3}. Give prob of picking 2 w, 1 s, and 1 n.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659739?\nAnswer: 3, 47, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(176) + sqrt(176) + -1 + 3)*-5 - (-2*sqrt(110)*6)\/((sqrt(60) + (sqrt(240)\/sqrt(4) - sqrt(60)))\/sqrt(6)).\nAnswer: 50 + 212*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (-3*sqrt(5200) + 3)*1 + -3))**2 + 2.\nAnswer: 5760*sqrt(13) + 748946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = 75*s + 28*s - 226. Determine y, given that -15\/2*y + 5\/4*y**s + 0 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -1\/2*l**2 + 1\/8*l**4 + 5\/12*l**3 + 0 - l. Factor j(o).\nAnswer: (o + 2)*(3*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.3. Let m = 0 - -0.1. Let l = -0.3 + m. What is the closest to z in -1, l, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f5c6a (base 16) to base 4.\nAnswer: 23311301222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(11) + sqrt(275)) + 1.\nAnswer: sqrt(7)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a**2 + 23 - 23)*(321*a + 319*a + 107*a).\nAnswer: -6723*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1165015750?\nAnswer: 2, 5, 131, 35573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cscgscsggccg. What is prob of picking 1 g, 2 s, and 1 c?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170*f**2 + 71485 - 71487 + 21*f**2 + (0*f + 3*f + 0*f)*(5*f + 3*f - 3*f) to z + o*f**2 + y*f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f. Let w be m(-1). Let p(d) = -d**3 + 3*d**2 + 2*d + 3. Let s be p(w). Suppose -2*b + 65 - s = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 2, 70, 1 in descending order.\nAnswer: 70, 2, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/(-196)*(-14)\/77.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 4 + -6 + (1 - -15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953080.7 months in millennia?\nAnswer: 162.756725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 - 5*z - 12. Let v(y) = y**2 - y + 1. Let w = 1975 + -1980. Calculate w*v(k) + n(k).\nAnswer: -k**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17356 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1148*v + 1151*v - 2*p = -7, 0 = v - 18*p - 67 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4679 - -4678. Put 1\/6, 6\/11, h, -11\/3, 0 in ascending order.\nAnswer: -11\/3, h, 0, 1\/6, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8606*z. Let a(y) be the second derivative of -y**3\/3 + 5470*y. What is a(q(w))?\nAnswer: 17212*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/(-153))\/(2\/(-3) + (-8)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (679490\/(-245))\/(11\/(-77))?\nAnswer: 2, 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*v**3 - 36*v**3 - 215*v**3 - 166*v**3.\nAnswer: -648*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h + 3. Let d(r) = -2*r + 1. Suppose -7*q - 200 = 31. Let w = -24 - q. Let o = w - 14. Calculate o*d(y) + 2*c(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0 - 3. Let z be w + 0 + 77 + 8. What is z rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 8.97 (b) 1 (c) 3\/281\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-1 + sqrt(704) + 2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and 156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -3*d. Let n(x) = x + 1. Suppose -4*p + 1 = -q, 9*q = -p + 14*q + 24. Let j(i) = 2*i + 1. Calculate d*n(b) + p*j(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 - 0.08. Which is the nearest to 0? (a) 3 (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*r + 2*r**2 - 11056*r**4 + 3228 + 5513*r**4 + 5541*r**4 wrt r.\nAnswer: -8*r**3 + 4*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4435*y + 30. Let d be c(-2). Round d to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-308)\/(-54)))\/(48\/176)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 541, 264, -1, -254, -495?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/12 and (48\/64)\/(-13 + 1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 1. Let n = m - -5.6. Let j be (-34)\/8 - 15\/(-60). What is the biggest value in j, -6\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/210 and -59\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*z + 14 = -13, -4*f - 2*z - 10 = 0. Sort 0, f, -2 in decreasing order.\nAnswer: 0, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -140, -257, -458, -749, -1136, -1625, -2222?\n\"Answer: -a**3 - 36*a**2 - 2*a - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 2 + 3)*(0 - 2 + 0)*(-130*o - 37*o - 14*o) - 8 - o + 8)*(o**3 + 1 - 1).\nAnswer: -1449*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65 + 13?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 6:25 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1811 is divided by 191?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2149 = -3*m - f, -793 - 631 = -2*m - 5*f. Suppose -3*k - 709 = -5*k - 3*z, 5*z + m = 2*k. Is k\/5 + (-24)\/(-30) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 - 17621616\nAnswer: -17621615.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 79\/2. Factor 0 - 3\/2*w**3 - j*w + 3\/2*w**2 + 1\/2*w**4.\nAnswer: w*(w - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/5*(-3185)\/(-364).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 3)*265\/(-954)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 9 - 11 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r + 4. Let m(v) = 14*v + 9. Give 2*m(o) - 5*u(o).\nAnswer: -7*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + i - 2*i + i + 3*i + (i - 2*i + 2*i)*(4 - 5 + 2) + 3 + i - 3 - 3*i + 3*i + 2*i)*(-3 + 2 + 3).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 283 = -5*h - 291, 3*d - 37 = -4*h. Solve -8*n + 11*n = 4*t + 24, 32 = -h*t + 5*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4, -1\/6, -9, -3\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 32 - 48. What is the remainder when t is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 8*s + 16*s - 32*s + 16*s in the form v + a*s and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28036 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32322023012 (base 4) in base 12?\nAnswer: 13858b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.34, 10\/3, -2\/17, -0.2, 260, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3))**(-36)*(p*p**(-7)\/p)\/p**3)**(-2\/101) assuming p is positive.\nAnswer: p**(-28\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, -3, 0.055, 4, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + -0.02. Let v = q - -1. Which is the closest to -1? (a) 0.4 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/238931 and 89\/8316?\nAnswer: 25804548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*p + 9. Let l(i) = i**3 - 6*i**2 - 6*i - 6. Let h be l(p). List the prime factors of 48\/9 - h\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 12. Solve s = -4*q + 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -38927, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r - 5*q + 50 = 0, 50 = -4*r - q. Let x = r + 32. What is the greatest common factor of 80 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1013*j**3 + 119*j**3 + 426*j**3 + (0*j**2 + 4*j**2 - 2*j**2)*(-2*j + 2 - 2) - j**3 - 3*j**3 + j**3 as g*j**2 + x*j + h + p*j**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -249 or -1238\/5?\nAnswer: -1238\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1656674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-774)\/39861 + 16680\/(-309)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 4. Let h(a) = 9*a**2 + 3*a**2 + 21 - 2*a**2. Let d be (-2 - (-15)\/3) + 8. Calculate d*r(y) - 2*h(y).\nAnswer: 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232551 (base 7) to base 5.\nAnswer: 2314114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b, 2*g + b - 19 = -2*g. Let u be g - (-3 - -9 - -1). Is (u\/(-2))\/((-3)\/(-80)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**2 + 7*c**2 + 2 + 6*c**2 + 3*c + 78*c**3 - 4 - 21*c**2 in the form i*c**2 + z + x*c + t*c**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 252729.\nAnswer: 2527290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkqk. Give prob of sequence kkqk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 3*p**2 + 2. Let u be v(-1). Let c be -1*(u - (1 - 5)). Let r(y) be the first derivative of -y**3\/3 - 5*y**2\/2 + 2*y + 1. Determine r(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 232\/555 + 4\/(-10). Let y be (-2)\/(-5) - (26\/65 + -1). Does y = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142 and 1?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itin. What is prob of sequence it?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 32*u**2 + 97*u + 257. What is the hundreds digit of z(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7845 times 93.7\nAnswer: -735076.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 61*v**2 - 35 - 5*v + 3*v - 38.\nAnswer: 61*v**2 - 2*v - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(660)\/sqrt(99) - sqrt(60))\/sqrt(12) + ((-3 + sqrt(720))**2 - (3 + sqrt(5) + 4)).\nAnswer: -221*sqrt(5)\/3 + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.53 + 19.27. Let l = b - 131.8. Let q = -112.0000119 - l. What is q rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = 13*y - 18*y. Let l = y - 103. Suppose 7*j - 3*j = -16. Put l, j, 4 in decreasing order.\nAnswer: 4, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 7. Let q be s(-10). Suppose g - q*g + 20 = 0. Let l(p) = 7*p - 12. Is 25 a factor of l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1305 - 128. What are the prime factors of q?\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(19) - (sqrt(228)*-1)\/sqrt(12))*-4 + 5).\nAnswer: -25 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 196\/6 + -1. Let x(o) = -4*o. Let i be x(-8). Let z = y - i. Which is the nearest to z? (a) 2\/7 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.14 + -4.14. Let d = -3 + 4. What is the closest to 2\/7 in h, 1\/11, d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emkkcckekcekeccekck. Give prob of sequence kc.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -21, 0.3, 21\/43 in decreasing order.\nAnswer: 21\/43, 0.3, 0, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = 56189222 - 56188602 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*m + 50*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4 = c - 6*c, 0 = 2*p + 2*c - 2. Let v be 4\/18 - 4\/18. Suppose -3*j + v*j - 3 = 0. Put p, -4, j in ascending order.\nAnswer: -4, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1982735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + (-32)\/(-20))*-5. Let k be -1 + 356\/(-12)*a. Suppose 0 = 7*x - 3*x - 44. What is the greatest common divisor of k and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203*0.026.\nAnswer: 5.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -19*a**4\/8 - 25*a**3\/3 + 52*a**2. What is the units digit of k(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -760.8 - -761. Suppose -d - 9 = -5*y + 9, 4*y + d - 9 = 0. Suppose b - y = -1. What is the second smallest value in b, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -63368395 and -63368395 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 747.0045l?\nAnswer: 747004.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*d - 2725 + 2725.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/8 of a day?\nAnswer: 4140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4923926526560.000001239 + 4923926528705. Let g = -2145 + k. Round g to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318429, -318426, -318423, -318420, -318417, -318414?\nAnswer: -318411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 3*n - 1, 2*n - 4 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-32 + (-91 - 7)) - 38?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4914, 6, 12, 4 in increasing order.\nAnswer: -4914, -5, 4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 divided by 239022?\nAnswer: 23\/79674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f**3 - 4*f**2 - 6*f - 6. Let g be 66\/(-55) - (-4)\/(-5). What is the remainder when 102 is divided by z(g)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.41\nAnswer: -0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7387.082 meters to nanometers.\nAnswer: 7387082000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/66*1)\/((-10)\/55)*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8383295 divided by -174.\nAnswer: 8383295\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5536919313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 - 96. Suppose 4*p - 1363 = 3*l, p + l + 1353 = h*p. Is p a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7416 and 13896?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Let p be (186\/o)\/(6\/4). Let q = 39 + p. Round q to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1218 by -1380.\nAnswer: -203\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -5 - -2) + 11 + -26 + 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 816 and 233612504.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*p**3 - 23481392*p - 1423*p**3 + 23481392*p.\nAnswer: -1099*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 - w**3 + 17*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 0.0365015?\nAnswer: -0.2634985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 + 134. Suppose 3*m = -t + 27, 3*t + m - 12 = h. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 3. Suppose -89*l + 1380 = 141*l. Let j(g) = g - 5. What is l*j(n) + 11*u(n)?\nAnswer: -5*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37330 and 125.\nAnswer: 933250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + 0 + sqrt(1100) + sqrt(1100) + (sqrt(1100) - (5 + sqrt(1100) + sqrt(1100) + -1) - (1 + sqrt(1100)*2)))**2.\nAnswer: 80*sqrt(11) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 527, 1004, 1467, 1910, 2327?\nAnswer: 2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s - 2. Let h be ((-1)\/((-15)\/12))\/((-26)\/65). Calculate q(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/8)\/((-1)\/4). Suppose 0 = -d*s + 2*s + 63. Suppose -9 = 3*o - s. What is the remainder when 14 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119*p**5 - 22*p**4 - 24604*p?\nAnswer: 2380*p**3 - 264*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -415*b**4 + 25*b**3 - 555070*b**2 wrt b.\nAnswer: -9960*b + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/19 + 122*d\/19 = 0.\nAnswer: -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 = 371*j - 8316. Solve j*p + 15 = 26*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 w when three letters picked without replacement from {o: 9, c: 3, w: 2, v: 2}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 65*f**2 - 10313. Let q(g) be the first derivative of -g**2\/2 - 2. Give q(s(i)).\nAnswer: -130*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20523419 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(80) + -5 - (sqrt(20) + -2 + sqrt(20) + sqrt(20) - ((sqrt(5) - (sqrt(5) + 2)) + 4))**2.\nAnswer: -201 + 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v - 4*v + v)*(414 - 414 - 6*v**2 + 27*v**2) as t*v**2 + m + d*v**3 + o*v and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -32 (b) -5 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230148.\nAnswer: 2, 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(1*(-2)\/6). Let g be 0\/(1\/(-2)*(10 - 14)). Let q be 3 - (-4 + (t - g)). Solve 0 = q*j, -3*z - 3*j = -j + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a8 - 2?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/3 + 5\/(-15). Find the second derivative of 22*h**3 - 5*h - 13*h + m*h**3 + 8*h wrt h.\nAnswer: 150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 11. Let s be q(3). Suppose -4*n + 4*j = -n - 104, -n + s*j + 32 = 0. What is the least common multiple of 30 and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.7 - 0.4. Let z = v + 4. Which is the closest to z? (a) 1\/3 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1306*p + 15. Let x(n) = -601412*n - 6909. What is 2303*l(c) + 5*x(c)?\nAnswer: 658*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1714 - 1957 - 578)*(b**2 - b**2 + 2*b**3 + 2*b**2).\nAnswer: -8498*b**3 - 8498*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 252 + 54?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424221 (base 5) to base 10.\nAnswer: 14311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 56. Calculate r(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o - 5 - 1 + o**2 + 15. Determine t(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**3 + 3*o**2 - 8*o - 22. Let h(q) = -24*q**3 - 13*q**2 + 31*q + 88. Let i(s) = -2*h(s) - 9*r(s). Is i(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 - 4*g**3 + 4*g**4 + g**4 + 2*g + 1 - 3*g**4 in the form s + r*g + j*g**3 + m*g**2 + z*g**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 3*r - 6. Let o(x) = x**2 - 6*x - 11. Let h be o(8). Suppose h*q = -c - 10, -5*q = 3*c - 5*c - 5. What is the units digit of j(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(2268) - ((1*sqrt(2268) - sqrt(2268))*3 + sqrt(2268) - sqrt(2268))))\/(-1*((sqrt(252)\/sqrt(4))\/sqrt(7) + (sqrt(900)*-1 - sqrt(900)))))**2.\nAnswer: 9072\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a257 (base 16) in base 4?\nAnswer: -10322021113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 50. Let t = m - 23. Let n = -6 - -9. Put 4\/5, t, n in descending order.\nAnswer: n, t, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (6 - 3) + -2 + -2. Let u be -87 - (h - ((-12)\/(-3) - 1)). What are the prime factors of u*(4\/(-22) + (-87)\/66)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 45*d**2 - 163*d - 1466. Calculate u(-48).\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g - 22739 = -43*g + 36281. What is the remainder when g is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 6*o**2 - 6*o - 4. Let g be x(-5). Suppose -5*w - 3*i - 5 = 0, 0*i - i + g = 3*w. Let m(f) = -5*f + w - 2 + 2*f**2 + 4. Determine m(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.424982 millilitres to litres.\nAnswer: 0.006424982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 2*z**2 + 4*z)*(2*z**2 + 2 - 2) - 86*z**3 - 10*z**4 + 8*z**4 + 108*z**3.\nAnswer: 2*z**4 + 22*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -375*c**2 - 206625*c + 11. Calculate q(-551).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.3 (b) -2\/205 (c) 1\/3 (d) 33 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*f - 125*f - 4*p = 22, -7 = -f - p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9*b + 36 = 0. Let x be (-762)\/9 + (-2)\/b. Let t = -17 - x. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 2:40 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 2749482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 2:37 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1299 is divided by 209.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1733186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*p = -4*l - 163*p + 36, 0*p + 3*p - p = -18 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139513?\nAnswer: 11, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4123240 is divided by 23969.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(15\/(-3) - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 15*q**4 + 83*q**3 + 1055*q**2 + 2432*q + 1529. Let o(j) = 7*j**4 + 47*j**3 + 527*j**2 + 1216*j + 765. Let i(m) = 3*n(m) - 7*o(m). Factor i(z).\nAnswer: -4*(z + 1)*(z + 3)*(z + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (-29 + 87 - 16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352713010?\nAnswer: 2, 5, 13, 2713177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 16) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - -5. Suppose -40*x - 68*x + 208 = -4*x. Suppose x*p + b = -109. Round p to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + -1.019676.\nAnswer: -0.979676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 12:24 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/4012 and 31\/476.\nAnswer: 28084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2721904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -50*u + 66*u - 50 + 5. Let a = 1 - -1. Calculate the smallest common multiple of n(3) and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 214836 and 1248?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 + 1333*g\/6 + 222.\nAnswer: (g + 1)*(g + 1332)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 4\/5, 0.0102, 0.5?\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0567219542 to 6 decimal places.\nAnswer: -0.056722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27749.4277 rounded to the nearest ten?\nAnswer: 27750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 3*t**2 - 2*t**2)*(-2*t**2 + 2*t**2 + 2*t**2) + 5*t**4 - 9*t**4 + 8*t**4.\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (44\/20)\/(7\/35). Differentiate 14 + 21 - m*u**4 + 18*u**4 with respect to u.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113643 - 518.5288929.\nAnswer: 113124.4711071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 + 118*d**2 - 45*d + 2657. Determine g(59).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*l - 2 = 2, 3*d - 8 = -5*l. Let i be -1*(-73 - -2) - d. Suppose 5*p - i = -0*p. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 u when four letters picked without replacement from uwuuwuwu.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 1.84\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1352 or -1351?\nAnswer: -1351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221951.\nAnswer: 3, 407317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b4c (base 14) to base 2.\nAnswer: 1111000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 388704*h**4 - 428693?\nAnswer: 1554816*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -461 + 346. What is the units digit of ((-138)\/d)\/(2\/840)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 25*y**2. Let s(i) = 2*i**2 + 3. Calculate j(s(w)).\nAnswer: 100*w**4 + 300*w**2 + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*m + 1512, -5*f - 329 - 603 = 3*m. Let x be ((-3)\/(-6))\/((-4)\/m). What is the highest common factor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 3, u: 5, b: 7, t: 2}. Give prob of picking 3 b and 1 u.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 5*h + h - 1 - 3*h + 2*h.\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 233821.8ms in seconds?\nAnswer: 233.8218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (262 - 20) + -192 - (28 + 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 1 + 0*k**5 + 0*k**2 + 1\/6*k**3 + 13\/3*k**4 - 8\/5*k**6 + 13*k. What is the third derivative of n(x) wrt x?\nAnswer: -1152*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/(-21) + 16\/(-56)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3813, 14648, 32503, 57378, 89273, 128188, 174123?\nAnswer: 227078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 809201373 to the power of 1\/2, to the nearest integer?\nAnswer: 28446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 3 - 2 - 5)*(14 + 1 + 1).\nAnswer: 16*u - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r + 3. Let b be c(-5). Let p(h) = 2*h + 1. Let y(j) = 7*j + 4. Let z(l) = b*p(l) + 6*y(l). Find the first derivative of z(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = -4*u, 0 = 3*u - 0*u + 3. Suppose -2*m + 41 = 3*l, -4*l + l - 5*m + 35 = j. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7427*c**2 + c + 21594?\nAnswer: 14854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 119865810 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3*h - 30, -160*h - 2 = -159*h. Solve 4*y - 4*i = 3*y + 14, -2*y - i = k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 4\/401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8658 and 814.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283111*-9.\nAnswer: -2547999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 16*a**3 - a**2 - a + 1. Let n be h(1). Is 16 a factor of (-80)\/(-6)*18\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*s**2 + 66*s**2 - 98*s**2.\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 7*j - 8. Let c be w(-6). Let b = 6 + c. Let r(l) = 2*l - 2. Calculate r(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -34. Let f = -16 + l. Solve -f = 4*z - 2*k + 3, 3*z + 12 = -3*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 4. Suppose l + 184 = o*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + t + 15. What is d(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151\/959 + -2\/137. Let g = -5.2 - -5. Which is the third smallest value? (a) -0.5 (b) -1\/4 (c) t (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -113*s**5\/20 + s**4\/12 + 40*s**3\/3 + 43*s. What is the second derivative of i(o) wrt o?\nAnswer: -678*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbbzzb. What is prob of picking 1 z and 1 b?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6884794*l - 10140553 wrt l.\nAnswer: -6884794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103.572 at least 224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -11\/76 (b) 1 (c) 7 (d) -2\/7 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x. Determine s(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3991 + 4080. Calculate the remainder when q is divided by 49.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - i + 10, -i + 7 = 15*l - 14*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9728*h + 9729*h + 30 = -4*a - 17, 2 = 5*a - h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 387489 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 67 (c) -2.3 (d) 2\/7 (e) -1.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 407399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 5, -4, -517, 4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.08 (b) -51.7 (c) -0.2 (d) -97 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.42458121 and -0.2?\nAnswer: -0.084916242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 59 - 7 = 0. Is 26 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -664004206980 and 3?\nAnswer: 664004206983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159 + -153. Let d(v) = v + 13. Determine d(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycczcytccccycycyyccg. Give prob of sequence zy.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6036067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267179 and 277167.\nAnswer: 2497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*h = 27745, -h = -4*r - 4941 + 27162. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 13*p - 14. Give c(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)\/b**(-7)*b*b*(b*b**(3\/2))\/b*b**(-2\/3))**(-29) assuming b is positive.\nAnswer: b**(-8903\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-11)*(-9 - 435\/(-48))*8?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 + 9 - 17 + 10*d + 5*d**2 - 16*d. What is z(6)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278538 divided by -6?\nAnswer: -46423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54479123 is divided by 922.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5 = s, -6*x = -5*x + 2. Solve -4*g = -s*g - 4*l + 28, 3*g - l = 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + 3.05. Let x = 0.331 + 0.059. Let h = x + 0.01. Put z, h, 2 in ascending order.\nAnswer: h, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/6120 and 9\/16.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 1056.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000079634 to 7 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 + 28. Suppose -3*r = -5*j - 1394, r + 5*j + l = 614. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**3 + 36*y**2 - 106*y + 15. Is j(-37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*h + 2*h - 5*h)*(-4 + 4*h + 4)*(2 - 3 - 4) as i*h**2 + q*h + f and give i.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 92730969 and 92730969 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4106 - 12318 + 4104 + 4108 - 8*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4929107 to the nearest integer?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q - 13 = 47*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3433321 + 51?\nAnswer: -3433240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a**2 - 4*a. Let y be m(3). Let h = 83 - y. Solve h*g = 5*s - 5, g + 0*g + s = -7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19369\/35 - (-2)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6193*u = -3159*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n + 132. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -1 (c) 7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3\/8 + 5179461*a**2\/4 + 7769202*a + 10358940 = 0. Calculate a.\nAnswer: -4, -2, 3452980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -247, -939, -2067, -3613, -5559, -7887, -10579?\n\"Answer: 3*g**3 - 236*g**2 - 5*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -12, 113\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*c + 63618123*a**3 - 12*a**2*c - 5*a**2 - 6*a*c - 19*a - 52*c wrt a.\nAnswer: -6*c + 381708738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15981144 and 246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 3*a - 1)*(7 - 1 - 4)*(2*a - a - 5*a) to the form n + d*a**2 + x*a and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 6 = -5*z. Let x be (20\/12)\/(z\/(-18)). Suppose -720 = -11*v + x*v. Calculate the highest common factor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 8 - 3*n - 22 + 7.\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/5 - 9*o + 972\/5.\nAnswer: -3*(o - 12)*(o + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 8:34 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:13 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91.3, -16, 0.4 in ascending order.\nAnswer: -91.3, -16, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9)*6\/(-15))\/((-107)\/(-535)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(168\/(-7))\/24*(-1)\/(87\/(-2))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*d**2 + 2)*(3 - 2 + 0)*(-3 + 0 - 5)*(-1 - 6 + 3)*(6*d**2 + 5*d**2 - 5*d**2).\nAnswer: 384*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:01 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 - (1 - (-2 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -139*r + 344. Let t = 27 + -12. What is the smallest common multiple of t and d(2)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 3:16 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 375*c + 383. Let k be n(3). Solve 1519*y - k*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 3*q - 1 = -d, 4*q = 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -196796, -393592, -590388, -787184, -983980?\n\"Answer: -196796*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409, -1266, -3589, -8110, -15561, -26674, -42181?\nAnswer: -62814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 1804. Let s(t) = 2600*t**2. What is q(s(k))?\nAnswer: 2600*k**2 - 1804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.0977.\nAnswer: -0.2931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32113 is divided by 5348.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3 + 19 = 0. Let c(p) = 10*p - 6. Let x be c(z). Suppose -2*n + 0*n + x = 0. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27278.01356 + -0.5\nAnswer: 27277.51356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34\/5 of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348948 is divided by 509.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-29)*n)\/(n\/((((n**(-3\/20)*n)\/n)\/n)\/n)) assuming n is positive.\nAnswer: n**(-623\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.1, 2, 0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014218875663 to seven decimal places.\nAnswer: -0.0014219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -291 - -405. Is b a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 75456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -12*j**4 - 569037*j**3 + 2418624*j**2 = 0.\nAnswer: -47424, 0, 17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -621 + -2?\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - 117861?\nAnswer: -117875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 790927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 908.0863 litres to millilitres.\nAnswer: 908086.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 3*i + (-5 + 5 + 1)*(-i + 0*i + 3*i) + 2 - 2 - i)*(-i - 3*i - 6*i)*(3 - 1 - 3).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 6*f - 3 = -31 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a + 0*a - 2*a. Let m(y) = y**3 - y**2 + y + 14. Let u be m(0). Let q(r) = -r + 14 - u. Give q(j(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8568968 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((-2)\/(-5) + 20\/(-50)). Let q = 4 - -1. Put 1, q, h in descending order.\nAnswer: q, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1977.8 and 16.2976?\nAnswer: 1961.5024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-4)*(-8)\/(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 2*w**5\/15 - 3*w**2. Let b(s) = -s. Give f(b(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/20 + -1\/20. What is the second biggest value in n, 3\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 514183 + -514183. Factor b + 110\/7*k + 2\/7*k**3 - 16*k**2.\nAnswer: 2*k*(k - 55)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29792 and 84182.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/29))**(1\/65)*(u\/((u*u\/u**(-2\/11))\/u))\/u*u**(5\/13))**5 assuming u is positive.\nAnswer: u**(-16508\/4147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/306 and 143\/36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 4*p - 13. Let o be v(-5). Let j = o + -120. What is the remainder when 143 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4160488271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55827694 - -44438828377\/796. Let s = -18\/199 + m. Find the common denominator of (-102)\/35 + (-6)\/21 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**11*(u*u*u**(1\/8)*u)\/u*(u\/((u*(u*u\/u**1)\/u*u)\/u))**(-3) assuming u is positive.\nAnswer: u**(105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -710.546 times -506\nAnswer: 359536.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -8774?\nAnswer: 8772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 + 82 = 22*c + 75 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6828261, -6828245, -6828229, -6828213, -6828197?\n\"Answer: 16*l - 6828277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*a**4 + 612*a**3 + 3468*a**2.\nAnswer: 3*a**2*(3*a + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783*i + 4811 + 3027 = -14086 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times 40466.4?\nAnswer: -1092592.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**3\/3 + 5*q**2\/2 + 2*q + 25. Determine v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16394, 17207, 18024, 18845, 19670, 20499, 21332?\n\"Answer: 2*m**2 + 807*m + 15585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0.18, 3, -8, -2\/17, -0.9?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-7)*48\/(-84)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 284492 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -9. Sort 0.6, d, -0.5 in ascending order.\nAnswer: d, -0.5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2 + 4. Suppose -5*z = a + 22, -2*z + 3*a + 0*a - 2 = 0. Let w = z - -6. Solve w*t + 2*b = -3*t - 28, 4*t = r*b - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u - 14*u)*(2 - 2 + 2*u).\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yooo when four letters picked without replacement from {y: 3, i: 4, o: 9}.\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1408 - -1414. Solve m = 3*y - 19, g = -2*m + 3*y - 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(-9) + (-2)\/6. Suppose -5*k - 2*p + 387 - 91 = 0, 5*k - 275 = c*p. Calculate the remainder when k is divided by 0 - -1 - 0 - -19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/(-1650)*86\/6. Let y = 3\/25 - t. What is the second biggest value in 2\/11, 17, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -469\/10. Let v(y) be the second derivative of 3*y + l*y**6 + 1\/2*y**4 + 1\/2*y**3 + 3\/10*y**2 + 3\/10*y**5 + 0 + 1\/70*y**7. Factor v(r).\nAnswer: 3*(r + 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 7*v = 5*v. Solve -4*t = -w - 17, -5*t = -v*t + 4*w - 37 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6889826429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 2*v - 316601*v**3 + 316602*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 2, b: 4, c: 11}. What is prob of picking 2 b and 1 d?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 100223?\nAnswer: -100232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4*g + 16, 3*g = -2*o - 3*o - 12. Let d be 17 - (-2 - 0)*o\/(-6). Solve 5*l - d - 2 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0812 - -0.0063. Let n = l - 0.264. Round n to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/140 and -7\/1395.\nAnswer: 39060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15010 and 16019470.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 10. Which is the smallest value? (a) -0.3 (b) o (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (-1 - 13*-2). Is (-3 - (-3 - -3)) + j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4 + 298232*q**3 + 1988049*q**2 - 3081516*q + 795232 = 0. What is q?\nAnswer: -99404, -8, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 51*k - 196. Let o(y) = -38*y + 197. What is -3*b(d) - 4*o(d)?\nAnswer: -d - 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.5 in -1\/6, 4\/5, -2\/107, -0.033, -0.1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y - 11. Calculate j(-12).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3\/19 - 492774*z**2\/19 + 4927908*z\/19 - 7884704\/19 = 0. Calculate z.\nAnswer: -246397, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbg when three letters picked without replacement from bgqgogdgbgbdg.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -63, -90, -113, -132, -147, -158?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -47419204 divided by 3\nAnswer: -47419204\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*36.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -51, -69?\n\"Answer: -18*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*q + 74*q = -72. Let x(c) = 2*c**2 - 29. Is x(q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (-4*sqrt(6)\/sqrt(2))**2 + (-5 + sqrt(75)*2)**2 + 3.\nAnswer: -100*sqrt(3) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 64*y + 2 - 6.\nAnswer: -64*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnadnaada?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4*i + 0*i = -0*b + 269, 14265*i = -b + 14268*i + 218 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*k = 15, 0*t + t + 12 = 4*k. Let q(j) = -j + 11. Determine q(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dks when three letters picked without replacement from iskkkkzdkkkkeeikks?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**5 - 65*b**4 - 235*b**3 - 115*b**2 + 240*b + 180 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -1402853890.\nAnswer: -1402853887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -299 - -601. Let u = p + -263. What is the remainder when 231 is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17152297 divided by -1?\nAnswer: 17152297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 80*k**2 + 6*k + 7. What is the hundreds digit of m(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2\/11 - 24*a\/11 + 432\/11 = 0.\nAnswer: -36, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*d - 5*q - 259, -215 = -4*d + q. Calculate the highest common factor of d and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*j**(-6))\/j*j*j)\/j*j**(-4))\/(j*j**(-1\/3)*j)**(-2\/7)*((j**1*j)**(18\/11))**22 assuming j is positive.\nAnswer: j**(1354\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20477 - 6?\nAnswer: -20505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 h, and 1 k when four letters picked without replacement from {w: 3, h: 2, v: 7, k: 3, p: 1, y: 3}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12220 - -211?\nAnswer: 20201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l - 8. Let d(w) = 5 + 3 - 1 - 6*w - 6 - w**2. Is 3 a factor of d(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -54*s + 58*s. Let x(i) = 5*i + 3. Is x(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67825*o**2 + 135645*o**2 - 67828*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157062.\nAnswer: 2, 3, 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -28*g - 1057. Let o be w(-38). Let r(p) = 2*p**2 + p - 78. Determine r(o).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.094 - 680.094. Let h = 682 + p. Let d = 0.06 + -4.06. What is the closest to h in d, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 144. Let v(a) = -688*a - 103. Determine s(v(n)).\nAnswer: 2064*n + 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7445 and -50?\nAnswer: -37.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46441.97 tonnes to nanograms.\nAnswer: 46441970000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 10, -4, 9, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18612592, -37225180, -55837764, -74450344, -93062920?\n\"Answer: 2*o**2 - 18612594*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - -0.14. Let i = -0.7 + y. Let u = 0.3 - -0.2. What is the nearest to -2\/7 in 3, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 134, -5, -144, -283, -422?\n\"Answer: -139*x + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 3\/4 (c) 1 (d) 0.031\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 614044293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - z**2 - 5*z - 2. Suppose -6*g + 4*g = f + 4, f = 0. Let x be a(g). Sort x, -6, -1.\nAnswer: -6, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3418488 and 64908?\nAnswer: 10255464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11726 divided by -26\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*t = x - 2, -3*t = -2*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1754669 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0715 or 3\/8962?\nAnswer: 3\/8962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -201 - 989*c**4 + 501*c**4 - c**2 + 489*c**4 as v*c + n*c**2 + k*c**4 + r + i*c**3 and give r.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24075935.\nAnswer: 5, 13, 370399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.702589 years in centuries?\nAnswer: 0.05702589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 u when four letters picked without replacement from {u: 3, q: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(200)*1 - sqrt(2))**2 + ((sqrt(162) + -1 + sqrt(162) + sqrt(162) - sqrt(2)) + sqrt(2))*6 - (sqrt(128)*-2)\/(sqrt(8)\/sqrt(8))*1.\nAnswer: 154 + 178*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + ((-5 + 5 + -3*sqrt(363))*-5)**2)*-3 + 0.\nAnswer: 1470240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -103432?\nAnswer: -103431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/3 + 11*q**4\/3 - q**3\/3 - 143*q**2\/3 + 80*q - 36 = 0. What is q?\nAnswer: -9, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55220 and 0.8?\nAnswer: -44176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19010 and 38020?\nAnswer: 38020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = -2. Let f(t) = 10*t**2 + 1. Let p be f(s). Suppose 2*q - p = 9. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 515 divided by -1.\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - 3d?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dynndqqqnydyq. Give prob of sequence yqy.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsuyyhsyy. Give prob of sequence hyhy.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-9))\/(1\/(-3)). Let c be 540\/(-81) + (36 - 29). What is the nearest to -2\/5 in c, -6, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + ((-12)\/(-16))\/(4 + (-4305)\/1200)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-306)\/(-972)*18 - 13.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*z - 22, z + 7 = 2*o - 3*o. Let v = -22317 - -22313. Which is the second biggest value? (a) o (b) v (c) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*m + 1, 3*w = 4*m + 13 - 0. Calculate the remainder when 7 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*k - 18, -14 = -k - 5*h + 13. Suppose -2*z = -2*m + k, -3*m + 7 = 5*z - 20. Let n = 22 - 10. Solve n + 0 = m*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010111000010010011000 (base 2) to base 15.\nAnswer: -3b507c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4 - 22076*v**3 + 1181256*v**2 - 4394704*v - 353782240 = 0. What is v?\nAnswer: -14, 34, 5465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 + 135. Let p be (78\/(-12) + 5)*n\/3. Let k = 16 - 9. Solve -1 + p = o, -o = -4*t + k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -3e55?\nAnswer: -3e59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10431 is divided by 1302.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028160108317946 - 2?\nAnswer: -1.971839891682054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 13*b - 2. Let n be l(-12). Let d(k) = 21 + 5 - 2*k - n. What are the prime factors of d(-14)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210049.89005 + -2\nAnswer: -210051.89005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 434754869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202222020110210 - -21?\nAnswer: 202222020111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1590, -3007, -3998, -4347, -3838, -2255?\n\"Answer: 36*i**3 - 3*i**2 - 1660*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/48 + 695*r**4\/48 - 96605*r**3\/24 - 110*r**2 - 2*r. Factor w(v).\nAnswer: -5*(v - 139)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -120224*y**2 + 120505*y**2 - 3*y + 1 + 3*y in the form h*y + w + p*y**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 12. Let v be 0\/(-2 + o - -5). Factor -1\/2*d**2 + 0*d + v.\nAnswer: -d**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 2*(-16)\/(-4). Let x(q) = 20*q - 4. Let m be x(2). What is the highest common divisor of j and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 2*v + v, -5*t = 5*v - 30. Suppose -12 + 12*l - 3*l**v + 5*l - 5*l + 3 = 0. Calculate l.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70775 to the nearest 1000.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -131 times 24.23\nAnswer: -3174.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 72. Let y be (-510)\/(-135) - (5 - 188\/36). Sort y, t, -21 in decreasing order.\nAnswer: y, t, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 11*h = 24 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1519\/5 + (-5)\/(-25). Let r = z + -2126\/7. What is the fourth smallest value in 4, r, -0.5, 1\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3899*m**2 + 2*m - 18854 wrt m.\nAnswer: 7798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2120112332 - 1213?\nAnswer: 2120111113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**2. Let n(m) be the first derivative of -1187*m**2\/2 - 6726. What is n(q(c))?\nAnswer: 8309*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 + -114. Suppose -5*k + 1 = g - m, -k = -3*g + 103. What is the smallest common multiple of 3 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7179*g**2*t**3 - 2*g**2*t**2 - 6297038*g**2*t + 2*g*t**4 - 419*t**4 + 2*t**2 - 3*t + 2 wrt t.\nAnswer: -43074*g**2 + 48*g*t - 10056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*b + 69070 = -126534. Calculate the remainder when b is divided by 177.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/3 (b) 5 (c) 4 (d) 37\/5 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -27*4\/(-432) - (1 - (-196476)\/(-16)).\nAnswer: 3, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1)*(-10)\/(-10))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**4 - 5*j**3 + 5*j**3)*(-j + 2*j + j).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -84*a + 2421. Let g be o(29). What is the fourth biggest value in 1.4, g, -5, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.026 - -10.374. Round o to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*b + 6. Let n(m) = m**3 + 6*m**2 - 2*m - 7. Let l be n(-6). Let w(f) = -2*f**2 + 6*f + 4. Let q(x) = x + 1. What is b*w(d) + l*q(d)?\nAnswer: 2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 - 898*p**2 - 497200*p + 7661400.\nAnswer: -2*(p - 15)*(p + 1130)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1461 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -349*y + 17061. What is w(48)?\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 2. Let u be n(-2). Suppose k = -2*d - u, -2*d + k + 2 = -7*d. Suppose -10 = -2*l - 4. Solve d + 9 = l*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2753*j**3*l**3 - 2*j**3*l - 10*j*l**3 + 824*l**3 + 5825427*l**2 wrt l.\nAnswer: -16518*j**3 - 60*j + 4944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttd when four letters picked without replacement from tttdtdttdttttttttdtt?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -450150.5 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 34.7. Which is the biggest value? (a) -5 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from hnhb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*d + 4*k + 6, -3*d = -3*k - 15. Suppose t + 1 = 3. What is the remainder when t is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16531, 132435, 447025, 1059643, 2069631, 3576331?\n\"Answer: 16557*n**3 + n**2 + 2*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-27)*(-430)\/(-516)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -24. Which is the closest to -1? (a) 3\/4 (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffeffffefffffff. Give prob of picking 2 e.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Let c = -0.1 - q. Let i = -78 + 544\/7. What is the closest to -1 in 3\/2, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2473 is divided by 208?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 28*o - 91. Let p be d(-3). Solve 0 = 5*s + b + 21, -p*s - 8*b = -11*b + 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, 0.1, -0.4 in decreasing order.\nAnswer: 1.8, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:09 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 4*b. Let m be z(-3). Find the first derivative of -m*i**4 + 2*i**4 - 9*i**2 + 4 + 9*i**2 wrt i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9886 to 1 decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 30 + 18)*(-9*k**5 + 4*k**5 + 24*k**5).\nAnswer: -57*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -501*n**2*u**2*y**2 - n**2*u**2 + n**2*u*y**2 - 43*n**2*u*y - 8*n*u*y wrt u?\nAnswer: -1002*n**2*y**2 - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/(-9) + (-17)\/((-68)\/60)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118*v**3 - 98152*v**2 + 132117360*v?\nAnswer: 708*v - 196304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 - 507*o**3 + 22167*o**2 - 62997*o + 41334.\nAnswer: 3*(o - 83)**2*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**5\/10 + l**4\/3 - l**3\/3 - 4*l. Factor y(a).\nAnswer: -2*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 4*y**2 - 3. Suppose 3*m + 2*w - 5 = 47, -4*w = 3*m - 56. Let b be (4 - 4)\/5*(-5)\/(-15). Let f be b - (-7)\/((-28)\/m). What is d(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92.9 + 93. Suppose 0 = -0*j + j. Let v = 64 - 385\/6. What is the smallest value in j, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 6 = 2*q + 10*r, 2*q = -7*r + 66 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1250)\/1500)\/((-15)\/(-6)))\/(2\/(-600)).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584.0542 kilograms to grams.\nAnswer: 584054.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/5))\/(((j*j*j\/(j\/(j*j**(4\/11)))*j)\/j)\/j))**(-19) assuming j is positive.\nAnswer: j**(1843\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 143347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 5*n + 5. Let g be r(-1). Suppose -g*a + 2 = 4*c, 5*c + 0 = -a - 3. Let z(w) = 2*w**2 - 3*w. Determine z(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -317554*w**2*x**4 + 67*w**2*x + 4*w**2 + 10*w + x - 2 wrt x?\nAnswer: -3810648*w**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5\/2*n**2 - 3\/2*n**3 + 161\/6*n + 49 + 1\/6*n**4 = 0?\nAnswer: -3, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*l**2 - 2 + 9*l**2 + 0 - 26*l**2 as h*l**2 + t*l + n and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177601730.\nAnswer: 2, 3, 5, 17, 2309023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y. Let l = -67 + 82. Calculate the remainder when f(-1) is divided by ((-18)\/l)\/(1*(-9)\/30).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 < 235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 4)\/(0\/3 + -1). Let n be (4 + q)\/((-2 - -3)\/1). Factor -2\/11*a**2 + n*a + 2\/11.\nAnswer: -2*(a - 1)*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 156570940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 28, 61, 108, 169, 244?\n\"Answer: 7*m**2 - 2*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4000 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28257455 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((3 + -5 - -2) + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14 + 12)*15\/6. Let h(d) = -291*d + 169. Let t(s) = 194*s - 113. Let w(n) = r*h(n) - 8*t(n). Differentiate w(k) wrt k.\nAnswer: -97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 28 = h - 15, -16 = -5*f - 4*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -21*b**2 + 7748*b + 542. Determine m(369).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 1 + 0 + 5. Suppose -2*l = x*v - 1576, 3*l - 1925 - 433 = -v. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x + 2. Let o be g(-1). Let j = o - -6. Suppose 14 = 3*w + j. Solve w*v = 5*l - 1 - 4, l + 5*v = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13114*d**2 + 6557*d**2 + 6558*d**2 + 4470 - d.\nAnswer: d**2 - d + 4470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 544 divide 904672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7145, 6921, 6551, 6035, 5373, 4565?\n\"Answer: -73*r**2 - 5*r + 7223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10227*a**3 + 123*a**2 - 46*a.\nAnswer: -61362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 17 = -5*g - 24, -6*l + 42 = 5*g. Let k be -4*(4 - 2 - 4). Let m = 4 - k. Sort g, m, -2 in descending order.\nAnswer: g, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-888)*(1177 - 1183)?\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18984653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5620 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 300 + -205. What is i rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*w**3 - w + 3*w**2 - 5*w**2 - 32*w**3 - 2*w**4 + 4*w**2 to the form k*w + u*w**4 + h*w**3 + x*w**2 + b and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*c - 4636 = -3296 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-30))\/(1\/(-10)). What is the nearest to g in 5, 2, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/4 + 1773*d**4\/2 - 190331*d**3\/4 + 374073*d**2 - 802445*d + 475068 = 0. What is d?\nAnswer: -3599, 1, 2, 6, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*q)*(84*q**2 - 84*q**2 + 38*q**4).\nAnswer: 76*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7*y + 825. Let p = -22 + 37. What is the greatest common factor of p and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46041 + -828803\/18. What is the common denominator of ((-471)\/(-42))\/((-300)\/(-14)) and z?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + 49*o - 49*o + 13 + (0 + 0 - o)*(3*o - o - o).\nAnswer: 2*o**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, -293, -523, -771, -1043, -1345, -1683?\n\"Answer: -o**3 - 211*o + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 138. Let d = l - -67. Suppose -2*s - 3*h + 4 = -6*h, -2*h - 4 = d. Which is greater: -3\/4 or s?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 64\/3 - 16\/3*w + 4\/3*w**4 + 8\/3*w**3 - 32\/3*w**2 - 1\/3*w**5 = 0. What is w?\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/20 + (-2)\/5. Suppose i = -s - 3*s + 36. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 32. Let j(u) be the second derivative of u**3 - 4*u**2 - 7*u. Calculate the smallest common multiple of q and j(5).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 93, 222, 437, 738, 1125, 1598, 2157?\n\"Answer: 43*h**2 + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141362296?\nAnswer: 2, 79, 397, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2779, -1\/7, 0.5 in increasing order.\nAnswer: -2.2779, -1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = r - 5. Suppose -r*b - 60 = 136. Let l = 70 + b. Calculate the highest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14430, 28738, 43044, 57348, 71650, 85950, 100248?\n\"Answer: -y**2 + 14311*y + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*v + 82 = 0, 0 = c - 4*v - 491 + 439 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 180 = -5*s. Suppose -11 = 5*w - s. Suppose -2*n = -4*b - 4, 13 + 17 = n + w*b. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m + 2*m - m)*(-9 - 2 + 5)*(-5 + 3 + 1) + (3 - 2 - 2)*(1 + 4 - 4)*(m + 2*m - 4*m) in the form r + l*m and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*j + 63325 = 449*j. What is the highest common factor of j and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*l**3 - 6*l + 40*l**3 + 6*l - 19*l**3.\nAnswer: 77*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -253 less than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -1. Let x = n + 10. Calculate the smallest common multiple of x and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 12:20 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.76999919 - -3.77. What is b rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 738.6 + -739. What is the closest to 1\/2 in -21.5, 2, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1851348 and -28\/6016881.\nAnswer: 24067524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*s**3 - 2*s**3 - s**2 - 6*s**3 - 11*s**3 wrt s.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + t + 1. Let i(o) = -7*o**2 - 6*o - 6. What is -i(a) - 4*j(a)?\nAnswer: 3*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 26742?\nAnswer: 213936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 2*q**2 - 4. Let t(w) = -26*w**3 - 60*w**2 - 72*w - 120. Give 60*l(g) - 2*t(g).\nAnswer: -8*g**3 + 144*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*g = 6*r - 168, -r + 5*g + 60 = 0. Calculate the highest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 - 18*k**2 - 63*k - 3. Let f(g) = g**3 + g**2 + g + 1. Let r(z) = 15*f(z) + o(z). Factor r(i).\nAnswer: 3*(i - 2)*(i + 2)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + 7 + -5 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 7 + 38 + m - 9 - 62*m**3 - 9 as u*m**2 + x*m**3 + d*m + v and give x.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -e6f7 (base 16) in base 9?\nAnswer: -100086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/9 + 1\/153. What is the second biggest value in x, -2\/17, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3237*n - 7 + 2330*n + 7)*(-2*n + 4 - 4).\nAnswer: 1814*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 317513178, 317513177, 317513176, 317513175, 317513174, 317513173?\n\"Answer: -c + 317513179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 - 438?\nAnswer: -437.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10b (base 16) to base 9\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2 - 0. Let d = -78 + 80. Sort 3, d, y in ascending order.\nAnswer: y, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -28*3\/(-6). Suppose -49 = -5*u - 9. Let k = u - x. Put -2, k, -3 in decreasing order.\nAnswer: -2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 0*d**2 - 391295 + 391575 + 0*d**2.\nAnswer: -2*d**3 + 280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 39. Calculate the least common multiple of 10 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116401 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613439?\nAnswer: 613439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/((-432)\/12) - (-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, -2, -52 in decreasing order.\nAnswer: 3, 1, -2, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -103615 divided by -23\nAnswer: 4505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(-4)*(-1)\/1. Let o = 11 + v. Let s be ((-1)\/4)\/(3\/(-24)). What is the highest common divisor of o and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 - 3*n**3 - 2*n**3)*(13*n + 8 - 8) + n**4 - 84 + 84.\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296.91980377 + 0.1.\nAnswer: 297.01980377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/(-35) - (-1390)\/(-230).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -0.2, 25\/8, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -41*r**3 - 390*r**2 + 20*r + 45. Determine n(-9).\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.4. Let h = 3.6 - v. Let d = 6545 + -6544.5. Which is the nearest to -2? (a) d (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -8. Let i be (0 + u)*1*1. Solve g = 5*p + 10, g - 4*p = -1 + i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/3)\/(43\/((-516)\/144))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 0*s**6 + s**2 + 0*s + 22\/105*s**7 + 0*s**3 + 0*s**5 + 23\/24*s**4 - 1. What is the second derivative of v(k) wrt k?\nAnswer: 528*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 10:44 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1683?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 280925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 12:28 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**9\/756 - b**5\/20 + 5*b**3\/3 + 4. Let l(w) be the third derivative of u(w). Find the second derivative of l(j) wrt j.\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62590.\nAnswer: 2, 5, 11, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(165)*-1)\/(sqrt(35)\/(sqrt(7) - sqrt(63))))\/(-1*(sqrt(539)*1 + sqrt(396)*-2)).\nAnswer: 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 10*b**2 + 8*b + 9. Let v be o(9). Suppose 4*z + v*z - 44 = -2*c, -5*z + 70 = 3*c. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, 14, 56, 108, 164, 218, 264?\n\"Answer: -j**3 + 14*j**2 - 9*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q*q\/(q\/(q*(q\/(q\/(q\/(q*q\/q**(-6\/7))*q))*q)\/q*q))*(q\/q**(-2\/3))**38)**(-3) assuming q is positive.\nAnswer: q**(-1396\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -40.573 (c) 4 (d) -1 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o + 13. Let s be n(-3). Solve -s*p = -9 - 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83487944?\nAnswer: 2, 10435993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n + 7. Determine l(-11).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:27 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10962*t - 27 + 10954*t - 32874*t + 10956*t.\nAnswer: -2*t - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -74.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*w, -n - 2*w = -122. Let c = 270 - n. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/11*z**4 - 38\/11*z**3 + 0*z + 40\/11*z**2 = 0 for z.\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - (-19)\/2)\/((-115)\/(-92)). Let 0 - b*p + 2\/13*p**2 = 0. Calculate p.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-15))\/(-1*(-28)\/525).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 7:11 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-91)\/(-32))\/(1*(-4)\/16) and (-462)\/(-16)*(-2)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + 3*n**3 + 6*n**5 + 3*n**4 - 3*n**4 + n**5 + (4*n**5 - 5*n**5 - n**5)*(5 - 19 - 4).\nAnswer: 43*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 288 + -285. Calculate the lowest common multiple of 38 and p.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 8*u**2 + 7*u + 1. Let x be g(7). Let k(j) = 64*j + 384. Let q be k(-6). Solve x = o - q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*q + 37*q + 42*q - 159*q + 41*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(242) + sqrt(2) + sqrt(20)\/(sqrt(10) - 4*sqrt(10)).\nAnswer: -64*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2043?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 0, -4 in decreasing order.\nAnswer: 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3472078 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4105 divided by -119\nAnswer: -4105\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*8\/(-16)*(-3)\/(-132)*1.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 561950409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p - 135*p + 1456*p + 208*p.\nAnswer: 1542*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 - 1. Let v be r(1). Let p be (-2492 + v)*(-3)\/(-8). Let h = p + 922. Calculate the common denominator of 31\/4 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + 9 - 138387*r**2 + 69195*r**2 - 38*r + 69193*r**2 in the form y*r**2 + q + b*r + p*r**3 and give b.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 + 2*q - 1 + 3*q**2)*(2*q**2 - 7*q**2 + 2*q**2).\nAnswer: -6*q**4 - 6*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -816326709 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5267598*b*r + 19669602*b wrt r.\nAnswer: -5267598*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13766.41611 to the nearest one hundred.\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 795 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15654717 rounded to the nearest ten thousand?\nAnswer: -15650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 0*i = 6*i + 133 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -46360 divided by 225?\nAnswer: -9272\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 3*x - 3*x. Let f(r) = -2198*r + 4644*r - 2142*r. What is g(f(l))?\nAnswer: 304*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2. Suppose r - 43 = 2*x, 4*x - 2*x - 10 = 0. Let q(d) = -50*d - d**2 + 103*d - r*d. Calculate q(g(i)).\nAnswer: -49*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.89164 to one decimal place.\nAnswer: -72.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2. Let n(z) be the second derivative of -5*z**3\/3 - 4*z. What is f(n(j))?\nAnswer: -100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555683 is divided by 359.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12*m - 37. Determine x(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 2*l - 9*l - 12*l + 27*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-15)\/12 + 0)*(26 + -25)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 - -1a618?\nAnswer: 1a642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2440329.7 to the nearest 10000.\nAnswer: 2440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728854933?\nAnswer: 137, 971, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1) + (-1 - -80). Let u be (16 - (7 + -1))\/1. Calculate the highest common factor of u and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/4)\/(15\/44520). Calculate the greatest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 17. Let y be m(13). Suppose 2*n = 6*o - 4*o + y, -o = 4*n - 34. What is the least common multiple of n and (70\/42)\/(1\/3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -25\/38?\nAnswer: -25\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/(8\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*-1*(-28)\/3. Let h = -11 - y. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 79 = 61 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blblblbllb. Give prob of picking 2 b and 2 l.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -b - 29 - 10, -3*b = 3*l + 90. Let u = 5776 + -5776. Sort b, u, 1, -4 in decreasing order.\nAnswer: 1, u, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8199*y**2 - 2056*y**2 - 2047*y**2 + 2*y**3 - 2048*y**2 - 2048*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222311103 + -1?\nAnswer: 222311102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -85, -181, -275, -367, -457, -545, -631?\n\"Answer: z**2 - 99*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43898197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**7\/630 - r**4\/24 - r**3 + 28*r**2. Let v(k) be the second derivative of o(k). Let l(u) = 6*u**2. Give l(v(g)).\nAnswer: 96*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18357980.\nAnswer: 2, 5, 113, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -193111?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-10)\/p*(p**(1\/6)\/p)\/p*(p*p**(1\/5))\/p**0 assuming p is positive.\nAnswer: p**(-349\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-12)*(-8)\/6 + 0. Suppose c*q + 305 = 4*y + 5*q, 5*y = -4*q + 380. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475 + 211 = 22*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 7*m**2 - 11*m - 3. Determine g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*h - 580 - 275. Solve -14*y = 3*l - 11*y + h, -4*y - 16 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -84 + 72. Solve -h*s - s = 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 495*n - 51 + 492*n)*(n**3 - 3*n**3 - 6*n**3)*(1 + 1 - 1)*(0 - 4 + 5) to the form o*n**2 + m*n**4 + k*n**3 + j + s*n and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g - 5*g - 9*g)*(-5 + 4 - 4 - 4).\nAnswer: 54*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1. Let b(r) = -4. Suppose -c = -2*c - 3. Let h(a) = c*o(a) - b(a). Let u(t) = t - 6. Let w = 4 - 3. Calculate w*u(d) + 5*h(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 38*q + 108 = 0. Solve -q*z = 12, -3*z = -2*n + 1 + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 115 = 5*r, 4*w + 4*r - 58 - 10 = 0. Let d = -8 + w. What is the remainder when 22 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g\/(g*g\/(g\/(g\/(g**(-5)\/g*g)*g))))\/g)\/g**0*g**(-14)*g**(1\/11) assuming g is positive.\nAnswer: g**(-219\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 199\/3. Sort 1, s, -3 in descending order.\nAnswer: 1, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35154 (base 7) in base 8?\nAnswer: 21456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iigy when four letters picked without replacement from glllililillyiili?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29.4 and 4.5?\nAnswer: 24.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -12*u + 13*u - 12, 0 = 4*u + 4*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.7 + 2.82. Let u = -2.12 + j. Which is the smallest value? (a) -6 (b) 2\/23 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3) - 0)\/(-2). Let g be 18\/(-15) + (0 - -1). Let t be -2 + 2*1\/1. Which is the nearest to t? (a) -3 (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2423333 (base 5) in base 9?\nAnswer: 68330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 21929*f + 21991. Calculate n(-1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0653806 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, 18.\nAnswer: 0.2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011011110111100100001 (base 2) to base 7.\nAnswer: 222500136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 106192 - -105?\nAnswer: 106297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + f**2 - f + 2. Let n be o(0). Let t be 140 - 5*(1 + (-40)\/25). Let k = t - 129. What is the highest common factor of n and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4236975 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 16. Let b = 303 + -304. What is the closest to o in -5, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.77 + 0.23. Which is the third smallest value? (a) 5 (b) -6\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l + 272. Let p(h) = -h + 26. Determine p(g(n)).\nAnswer: -5*n - 246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-4 + -5 + 35 + -8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -481, -729, -977?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239 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: Two letters picked without replacement from oaaddopaodapa. Give prob of picking 1 o and 1 d.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 63.8?\nAnswer: 64.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-8)\/8) + 0. Suppose 13 + 8 = 2*s - 3*r, 2*r = 5*s - 47. Let t = 9 - s. Solve 19 = j + o*j - 4*n, t = -2*j - 5*n + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25 * 16.49605.\nAnswer: 4.1240125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -16.2, 18, 1, 1\/4, 1.25, -2\/5 in ascending order.\nAnswer: -16.2, -2\/5, 1\/4, 1, 1.25, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2392157?\nAnswer: 19, 137, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8d08 (base 15) to base 5\nAnswer: 1424213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11044*a**2 + 3*a**3 - 11044*a**2 - 7*a.\nAnswer: 3*a**3 - 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -241 - -294. Suppose -y*q - 106 = -51*q. Sort 0, 0.2, q in descending order.\nAnswer: 0.2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 12*p**3\/11 - 10*p**2\/11 - 74*p\/11 - 12\/11 = 0.\nAnswer: -2, -1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1822, -3641, -5460, -7279?\nAnswer: -9098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*p = 180 - 177, -4*f = 6*p + 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2046, 2059, 2134, 2301, 2590, 3031, 3654, 4489?\n\"Answer: 5*t**3 + t**2 - 25*t + 2065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 101, 485, 1139, 2063, 3257, 4721?\n\"Answer: 135*i**2 - 21*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f**4 + 10*f**2 - 4*f - 7. Let k(z) = -48*z**4 + 69*z**2 - 27*z - 48. Let b(w) = 27*d(w) - 4*k(w). Solve b(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -0.9. Let s = k + -0.9. Let m(o) = o**2 + 6*o + 1. Let g be m(-6). Put 2\/7, g, s in descending order.\nAnswer: g, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851907469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(3240) - sqrt(3240) - sqrt(40)) + (sqrt(480) - -2*sqrt(480) - sqrt(480))\/sqrt(12))\/(sqrt(768)\/sqrt(6) + sqrt(48)\/(sqrt(30)\/sqrt(5))).\nAnswer: -26*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 440 - 291. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17640 and 15680.\nAnswer: 141120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2214)\/246 + (11 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 9. Let z be y(7). Let f = 5 - z. Find the third derivative of -3*r**2 + f*r**3 - 1 + 0 + 1 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6579\/645 + -1*2\/10. Suppose 29*q - 3686 = m*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14403\/28 - 515. What is the common denominator of -91\/40 and l?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 630, 620, 606, 588?\n\"Answer: -2*l**2 - 4*l + 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 1175043.\nAnswer: -13\/1175043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*q - 3*q**3 - 3*q**5 - 45\/4*q**4 + 27\/2*q**2 - 9\/4 = 0. Calculate q.\nAnswer: -3, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 32*h = -44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 152870 and 8.\nAnswer: 1222960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.2, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/12 - (-3)\/(-15). Let g = 53\/210 - k. Let a = -0.3464 + 1.3464. Sort a, g, -1 in descending order.\nAnswer: a, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1330101 - -11003?\nAnswer: -1313032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - 8. Let o = -9 - u. Find the third derivative of z**3 - 2*z**2 + z**2 - z**3 - o*z**3 wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -79.7 (b) 0.1 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-24) - 95\/(-30). Suppose -8622 = -y*s - 15*s. List the prime factors of s.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 2*z - z)*(-3 + 3 + 2*z) - 2*z**2 + z**2 - z**2 + (-1 + 4 - 4)*(-z**2 + 3*z**2 + 0*z**2) to the form w*z**2 + q + n*z and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008531 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 12*s + 5. Let n be v(-12). Calculate the greatest common divisor of n and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 110 = -15*b - 5*s, s = -2. Let z = -48 - -88. What is the highest common divisor of b and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/((-3)\/(-288)). Is 17 a factor of ((-8)\/(-6) + -2)*u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + -12 + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 260*h**5\/9 + 1186*h**4\/9 + 268*h**3\/3 - 166*h**2 - 84*h = 0?\nAnswer: -3, -21\/10, -6\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 593208*u + 593222*u - 1186432*u + 2 - 1.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/2037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -9*q**2 + 5*q + 12. Is x(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 780 = 10*r. Suppose 2*j + 2*j = -5*h + 156, 5*j - 3*h = r. Calculate the greatest common factor of j and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1278 and 4\/50327001.\nAnswer: 100654002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u + 70*u - 276 = 60*u. Put 5, -3, u, 543 in descending order.\nAnswer: 543, 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 348 + -212. Suppose -6*u - x = -14*u. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91120736 divided by 1?\nAnswer: 91120736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:50 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**3 - 17*x**2 - 18*x - 2. Give l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 - (21 + (-13 + 4 - -20) + -19).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 2 (c) 16 (d) -1342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -11 - 55*q + 28*q + 29*q. Let p be t(13). What is the second derivative of -5*x + 9*x**2 + 12*x**2 - 21*x**2 + p*x**4 wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n**3 - 4*n**2 + 4*n - 4. Suppose -6*r + 716 + 4996 = 0. Let p = 937 - r. Let o(y) = -36*y**3 + 15*y**2 - 15*y + 15. What is p*i(k) - 4*o(k)?\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a2 - 4?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -19*k**3 + 4*k**2 + 2*k - 13. Let c(y) = 9*y**3 - 2*y**2 - y + 6. Let r be 4 + (4 - 11) + 16. What is r*c(l) + 6*f(l)?\nAnswer: 3*l**3 - 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 5*k - 968. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 416, 421, 438, 473, 532, 621?\n\"Answer: c**3 - 2*c + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 442640 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1130 = -12*s + 5546. Suppose -106*o + 104*o + s = 0. Calculate the greatest common divisor of 23 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.09386 + 0.04886. Let z = 32 + f. Round z to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -7 - -5) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*h = 2018*h + 3080*h + 29008 + 86618 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {z: 1, t: 4, l: 1, y: 1, f: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1908\/11 + -33233\/198. Find the common denominator of d and ((-18)\/(-21))\/2 - (-2452)\/(-168).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*q - 30. Suppose -5*n + 42 = 4*l, 54 = 6*n - n - 2*l. Calculate the smallest common multiple of n and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 21) + 0 - (1 + 2 + -5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 1324 - 1350 = 5*l, -4*a + 40 = 2*l for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71499 is divided by 16576.\nAnswer: 5195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4*8\/3. Suppose 39 = -3*o + 5*q, 4*o = -u*q + 4 - 24. Let t be (o\/4)\/(4\/(-34)). What is the highest common factor of 136 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + -2124626?\nAnswer: -2124655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 175*a**4\/3 + 4943*a**3\/3 + 14684*a**2\/3 + 12196*a\/3 + 800 = 0. Calculate a.\nAnswer: -25, -2, -24\/25, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 114 - 29 = 0. Let g(v) = v**2 + 13*v - 18. Let k be g(f). Let r = 136 - k. List the prime factors of r.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 1)*(-2 + 50) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 9628465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4527, -9053, -13575, -18093, -22607, -27117, -31623?\n\"Answer: 2*v**2 - 4532*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 115953293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 119, 222, 313, 386, 435?\n\"Answer: -k**3 + 110*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*0\/3. List the prime factors of 4 - (-2 + (0 - i)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.12 + 0.22. Let s = 4.79 + -4.59. Does s = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3983 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 260 = 17*d, 13*d - 204 = 4*i + 16*d for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by (8\/7)\/(12\/84).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*y = -0*y + 24, -2*y - 10 = 3*j. Calculate the remainder when 22 is divided by (-16)\/4 + j*(-4 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348405 divided by -4.\nAnswer: 348405\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13700 - 13453. Calculate the remainder when 1480 is divided by s.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 78*o - 9*o**4 + 106*o**2 - 7*o**3 + 3*o**5 - 180*o**2 - 17*o**3 - 30*o + 110*o**2 = 0.\nAnswer: -2, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/8770 and -53\/10524?\nAnswer: 52620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q - 20, 20 = 4*g - 2*q. Suppose 3 = -g*u, -6 = -a + 3*u - u. Solve 0 = -3*x + a*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48007.\nAnswer: 61, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -10*g - 40. Let i be m(-4). Suppose -4*u + 1428 = 3*k, i = -6*k + 7*k + 2*u - 474. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 3*v**2 + 5*v + 6. Let a be z(-4). Suppose a*c - 3 = 7. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 9:47 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 14*k + 8. Let a(j) = -5*j - 3. Let q(f) = -17*a(f) - 6*r(f). Let h be q(0). Let v = 9 + h. Calculate the highest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 6*f + 15. What is v(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 17*m = 56. Let p be -24 - -134 - 3\/(6\/m). Which is greater: p or 105?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1407562 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8111\/3246 + 2\/1623. Put -2, 12, s, -1\/5 in descending order.\nAnswer: 12, s, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 5*k**3 - 13)*(4*k - 3*k - 2*k + (-3*k + 3*k - 2*k)*(-5 + 1 + 2) + 2*k + k - 2*k).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1255, 2506, 3761, 5020, 6283?\nAnswer: 7550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*(s*s*s*s*s**7)\/s)*s*s**(7\/6))**(-17\/3) assuming s is positive.\nAnswer: s**(697\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4 - 5*p + 0*p + 4*p**3 - 3*p**3 + p**2 + 0*p**2. Let v be z(-3). What is the second derivative of v - 16*d**3 - 5*d - 1 + 18*d**3 wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -159, -160, -161?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34555*c**4 + 2*c**3 - 134*c + 49156995 wrt c.\nAnswer: 138220*c**3 + 6*c**2 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10293 is divided by 4244.\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b + 58 - 4 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**0)\/s))**9\/((s*s*s*s\/(s*s\/s**17)*s)\/s**(-21)) assuming s is positive.\nAnswer: s**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 625\/(-8) - 316\/(-2528). Do -12 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 2*l**2 - l**3)*(-7 + 17 + 6)*(-l + 3 - 3).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -239, -237, -233, -227, -219, -209?\n\"Answer: p**2 - p - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 1351240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 3:11 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 8*b**2 - 7*b - 21. Let k be o(9). Let v(p) = p**3 + 3*p**2 - 2*p - 3. What is v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021661 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49099213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-five eighths of a microgram?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x**2 + 1. Let g(p) = -p**3 - 7*p**2 - 10*p - 9. Calculate the least common multiple of n(-2) and g(-6).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -413*b**3 - 2*b**2 - b + 3. What is d(1)?\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 372 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/2 (b) 58 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 2 (b) -1\/2 (c) -1.57 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324, 308, 266, 186, 56, -136, -402, -754?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1330, -5314, -11932, -21166, -32998, -47410, -64384?\nAnswer: -83902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/1)\/(-2) - 0. Let o = 10 + -7. Suppose -f*y = o*y - 60. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022 (base 9) in base 3?\nAnswer: 2000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 23*z**2 - 6*z - 7. Let m be i(-2). Let c = 99 - m. Solve 4 = c*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190 * -6.988\nAnswer: 1327.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*r + 4*t - 918 = -163*r, 0 = 3*r - 6*t + t - 54 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7728\/(-1127))\/(12\/63).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962 a factor of 31746140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -112, -245, -440, -703, -1040, -1457, -1960?\nAnswer: -2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)*i**10)**(-8\/3))**(3\/20) assuming i is positive.\nAnswer: i**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*t = 112*t + 2*j - 4, 2*t + 2*j + 8 = 0. Solve 5*c - 2*c + t*s = -9, -5*c + 5*s - 50 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + -0.3. Let w = -57 - -58. Put 2, w, a in decreasing order.\nAnswer: 2, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1113676*t**3 + 806033*t**2.\nAnswer: -6682056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4062717929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = m + 3*i, -3*m + 84 = -4*i - 28. Suppose -2*q + 5*g = 33, q - m = -5*g - 15. Sort 3, -58, q.\nAnswer: -58, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*s + 20 = 687*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(19) + 1) + -2.\nAnswer: 2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 4*j - 7. Let h be v(6). Suppose 0 = -4*u - h*f + 7, f + 0*f - 3 = -u. What is the greatest common divisor of u and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byssosbsspyssysosos. What is prob of sequence pb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (8 - 5)) + (4 - (6 + 3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -250034*1\nAnswer: -250034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11510, -22616, -33722, -44828?\n\"Answer: -11106*h - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*10\/125*(-2985)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 5008?\nAnswer: -5007.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -29*g - 4. Let o(v) = 58*v + 9. Let b(y) = -2*o(y) - 5*r(y). Let s be b(-1). Let c be 17\/7 + s\/63. Solve 3*z - 7 = 4*a, -z - 9 = 3*a - c*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*w - 78*w + 4822. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, c: 3}. Give prob of sequence vccv.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*i + 40 = -69*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46955 - -148876. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3568766 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 - 2*g**2 + 5*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*n**2 + 25*n**3 + 461*n**2 - 860*n**2 + 11*n - 11*n - 1.\nAnswer: 25*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90118 and 544726?\nAnswer: 85521982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, s: 2, p: 7}. What is prob of picking 2 s and 1 y?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 717.1 + -17.79?\nAnswer: 699.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -60?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 246126\/36195*(-10)\/2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 15*i**2 + 7*i**3 - 3*i**3 - 5*i**3 - 12*i + 0*i**3 - 11 - 22*i**2. Give h(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213 - 556. Let x = h + 1080. Let o = 4667\/15 - x. Which is the closest to -1\/3? (a) o (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9354)\/(-45) + 10\/75?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4125*w**3 - 1500*w**2 - 7500. Let r(p) = -p**3 - p**2 - 5. Give 1500*r(j) - v(j).\nAnswer: 2625*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -52592 = -52589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65982718732970 + -1.\nAnswer: 65982718732969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n - 39*n - 8 = 0. Calculate the lowest common multiple of n and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 21*p - 22. Let q be s(1). Sort q, -4, 82 in decreasing order.\nAnswer: 82, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (19 - 17)\/(3\/(-2754)*-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -5*k + 0*k**3 - 5\/12*k**4 + 0 + 9\/2*k**2. Differentiate t(w) with respect to w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -19, -39?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 91.1. Let m = -9 - -10.2. Let d = m + z. What is the nearest to d in 2, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let d(r) = -1 - 1 + 9*r + u*r - 7*r. Let o = -41 + 38. Calculate d(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/1830 - 40724\/11895. What is the common denominator of w and -65\/8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) -4\/15 (c) 4 (d) -40\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 11:15 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-21))\/(4\/14). Suppose 0 = -118*r + 553 + 155. Solve -m*j = -0 - r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 759 = 27*c. Suppose -2*z = -2*w - 3*w + 1251, 3*w + 3*z = c. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266229 is divided by 982?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 1778*v - 1779.\nAnswer: (v - 1779)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2693645 or 2693644?\nAnswer: 2693644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:16 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/12 and 69\/563566.\nAnswer: 3381396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 1. Let z(d) be the third derivative of -d**6\/40 - d**5\/10 + d**4\/24 + 2*d**3\/3 + 4*d**2. Let j(p) = 4*a(p) - z(p). Factor j(q).\nAnswer: 3*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - w**2 + 6*w - 27. Let j be x(-4). Suppose 5*u - 20 = -4*p, 8 = 2*u + 6*p - 3*p. What are the prime factors of u + j + 53 + 2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121388757 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 81150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 2)*-2 + 2*(sqrt(612) + 1)**2.\nAnswer: 18*sqrt(17) + 1222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 1. Let l(m) = -119*m**2 - m - 1. What is -l(k) + y(k)?\nAnswer: 119*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4540*k = -5041*k + 24549 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01068 to 4 dps.\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -37*h - 354. Let g be a(-14). What is the highest common divisor of g and 2132?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8901503 and -7?\nAnswer: 62310521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/25)\/c**1)\/(c**(-17\/4)\/(c*c*c\/c**(2\/13))) assuming c is positive.\nAnswer: c**(8029\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4361958467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 467 and 14944.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w + 102*w - 774 = 23*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 267.69718 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 11221003?\nAnswer: -11221003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 7*s + 15. Let h be x(5). Suppose -3*d = a - 20, -2*d - h*a = 1 + 3. Suppose 5*r = -4*q + 8, -5*r + 15 = -q - d. Solve 2*n + 2 = r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 5)*(-4)\/72. Let i(d) = -7*d**3 + 6*d**2 + 2*d + 1. Let s(g) = -g**3 + g**2 + 1. Let v(w) = i(w) - 6*s(w). Let b be v(0). Sort b, 4, 2\/5, z.\nAnswer: b, z, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d + 298. Let c be m(-32). Suppose -c*i = -344 + 114. What is the highest common factor of 276 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + -0.3. Let q = -7 + 12. Let j be q + -4 - (-3)\/(-4). What is the third biggest value in -1\/10, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**5\/5 + 141*m**4\/5 - 1941*m**3\/5 + 2067*m**2 - 3780*m = 0?\nAnswer: 0, 5, 9, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 19916.\nAnswer: 1\/4979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 46 = 4*v. Let y be (-8)\/12 - v\/12. Let -y*i - 3\/4 - 1\/2*i**2 = 0. Calculate i.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 288, 1.6, 3\/8, -125 in descending order.\nAnswer: 288, 1.6, 3\/8, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20025848 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 4 + 2 + 0 + 1271. Suppose -a = 6*a - i. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u + 19. Let h be m(-6). Let v be h\/(3 + 14\/(-4)). Let i be (v - -1) + (-4)\/(-4). Sort i, -2, 5 in ascending order.\nAnswer: -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -939*h**4 - 16*h**3 - 2*h**2 + 481736 wrt h.\nAnswer: -3756*h**3 - 48*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001273 to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1355.492 + 1435.6. Let d = 0.908 - u. What is d rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 10*s**2 - 9*s + 13. Calculate d(11).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**2\/8 - 23211*j\/2 - 46419\/2 = 0.\nAnswer: -30946, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and 1.96.\nAnswer: -66.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3248\/1740*(-66)\/22.\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 15*c - 6. What is y(13)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 28*p + 1115. Give n(-39).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9534*f - 24563*f + 6198*f to c + d*f and give d.\nAnswer: -27899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + b8693?\nAnswer: b8695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 3*(-2)\/(-6). Let z be a\/(-6)*(3 + -3). Suppose -212 = -4*y - z*y. Does 27 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -3. Suppose -10 = -4*b - 2. Let a(y) = -5*y + 3 + 2*y - b*y + 4*y. Let u(d) = 1. Give z*u(r) + a(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s + 10. Let f be v(-2). Let r be 22\/4 + (-2)\/4. Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 394 - 386. Solve -18 - 22 = -y*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194364539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**7\/1365 + 7*g**6\/260 + g**5\/10 + 19*g**4\/156 + 9*g**2 + 13*g + 3. Factor c(y).\nAnswer: 2*y*(y + 1)**2*(y + 19)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(5)*1) - (sqrt(300) - 1*sqrt(300)))\/(-3*-1*sqrt(294)).\nAnswer: sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26458, -27473, -29168, -31549, -34622?\nAnswer: -38393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**3 - 2*y - 3*y**3 + 974*y**2 - 973*y**2 + 1. Let j(n) = 2*n**3 + 2*n**2 - 5*n + 3. Determine -2*j(o) + 5*v(o).\nAnswer: o**3 + o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 15*d + 3. Let s be z(10). Let y = s + 44. Let g(m) = m**2 + 9*m + 10. Let v be g(-7). Put v, 3, y in ascending order.\nAnswer: v, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -62*m**2 - 87*m + 3. Let z be k(0). Suppose 4*o = -y - 27, 4*o - 2*y + 25 = 7. Let h = 2 + -5. Sort h, o, z, -5 in descending order.\nAnswer: z, h, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i. Let q(k) = -15123*k**2. What is q(b(o))?\nAnswer: -378075*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*z - 29 = 0, 5*z = -4*w - 0*w - 11. Let b be (7 - (13 + -8))*2. Put b, -5, w in decreasing order.\nAnswer: b, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, u: 12}. What is prob of sequence iu?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*1\/2)\/(9\/2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 4*(-10)\/10 - -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/24*16\/(-78).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (9 + 73)*(-2)\/(-8) and 57\/82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + 4*n)*(2 - 2 - n**2) + 2*n**3 - 3*n**3 + 5*n**3 + 9*n - 9*n - n**3 + 0*n + 0*n + n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 723 + -679. Sort 1\/2, -3, l, 3 in descending order.\nAnswer: l, 3, 1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.522357 and 0.3?\nAnswer: 0.1567071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -479208334, -479208335, -479208336, -479208337, -479208338?\nAnswer: -479208339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 65*y**2 - 49*y - 146. Calculate p(-3).\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -20, -39, -64, -95, -132, -175?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 1 + d**2 + 228*d - 470*d + d**4 + 227*d to f*d**3 + y*d**2 + k*d + v + c*d**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*q + 433 = 0, 144*q + 163 = l + 148*q. What is the remainder when l is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.543 - -0.54299769. What is v rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11974 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 46790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1238356155127 + 0.054.\nAnswer: -1238356155126.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 - (-738 + 13 + -10) is divided by 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -31*s + 918. Suppose -5*z + 16 = o, o - 31*z = -s*z + 9. Solve -28 = 4*r - o*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38 and 13826.\nAnswer: 13864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i = 55 + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/3*o**3 + 1\/3*o**4 + 42*o**2 + 236\/3*o + 152\/3.\nAnswer: (o + 2)**3*(o + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.5699 and 14?\nAnswer: 217.9786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4100029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 1, n: 4}. What is prob of sequence tfn?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 8 - (0 - 133). Suppose -167 = -3*s + v + 283, x = s - 5*v. Suppose 0 = -5*n + 379 + s. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s + s + 2*s - 4*s + s + (s - 4*s + s)*(5 + 0 - 3) + 2*s + 2*s - 6*s)*(5421 - 5421 - 22*s - 3 + 3 - s + (-2 + 2 - 2*s)*(3 + 0 - 1)).\nAnswer: 243*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7794.\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*f - 32*f + 78. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 m, and 1 c when three letters picked without replacement from loccccmoc.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -23?\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1250571 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 14*i + 4. Suppose -h + 63 + i = 0. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p + 7. Let n(i) be the second derivative of -i**3\/3 - 2*i**2 - 2*i. Determine 3*j(d) + 5*n(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0349 + -0.0581. Let z = 0.094 + k. Round z to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3288433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-4))\/(-2*42\/168)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 23*q**2 - 16*q - 52. What is the units digit of j(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/5))**7)**(-5\/3) assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*-0.037364.\nAnswer: 0.635188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**4\/12 + 5*z**3\/6 - z**2\/2 - z. Let k be (-115)\/(-4) + 3\/24*2. Suppose r + 25 = k. Calculate a(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -57*u + 127*u - 64*u + 15, 74*f + u - 3*u = -70 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-30) - 3224\/(-780). Suppose -3*w + b = -10, b + n = 3*b. Solve f = -5*s - 3, w*s + s = -3*f - 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/5, -14169.8, -0.3, 1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4 + 64*j**3 + 1796*j**2 + 8544*j - 24768 = 0.\nAnswer: -12, 2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 - 6*v + 2. Let i(k) = 66*k**2 + 78*k - 27. Let f(s) = -5*s + 83. Let d be f(22). What is d*q(h) - 2*i(h)?\nAnswer: 3*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 785726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 99*z - 31. List the prime factors of w(8).\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -804*j**3*k**3 - j**3 - 94*j**2*k + j*k**2 wrt k?\nAnswer: -4824*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 60*d + 8. Let k(y) = -y + 1. Let z(i) = k(i) + w(i). Is z(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 10:27 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + (-3 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1668 + 1647. Is t at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 149604*b**2 + 149397*b**2 - 2.\nAnswer: -207*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220101110 + 20?\nAnswer: 2220101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 0*y)*(-6*y**2 + 4*y**2 + 0*y**2) - 58531 + 58531 + 1461*y**3 + (-3 + 3 + y**2)*(3*y - 5*y + 4*y) + y**3 + 0*y**3 + 0*y**3 - 3 + 3 - 2*y**3.\nAnswer: 1466*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (1 + -2)) + 4 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 4 + 1*2*sqrt(272) + -5)*-5)**2 + 5.\nAnswer: 27205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*m - 33652 + 100578, 0 = 3*m + 6. What is the ten thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87203496 divided by -937672?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 k when four letters picked without replacement from kkmuudmmuukkudmuudu.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 418175 = -3*m, -5*m - g + 4*g + 696949 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o - 5 = 0. Solve -6*b - w - 24 = -b, 2*b - 12 = o*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200002010121 - 110?\nAnswer: -200002011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*r**2 - 95*r**3 - 2 - r**2 + 93*r**3)*(1 - 2 + 2)*(-2*r + 1 - 1).\nAnswer: 4*r**4 + 40*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18219.4 - -18219. What is the fourth smallest value in -1, 2\/11, r, 0, 120?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-1*sqrt(7))*-4 - (sqrt(720) - -3*(sqrt(720)*2)**2).\nAnswer: -8640 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(95)\/(sqrt(15)\/sqrt(3)) + (sqrt(931) - (sqrt(931) + 0)**2) + -2.\nAnswer: -933 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 30*i**2. Let s(v) = -2472744*v. What is j(s(c))?\nAnswer: 183433886686080*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -24*x + 31. What is g(3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c - 6 + 2 + c - c**2 + c. Let m = -68 + 72. Let f be w(m). Solve r = f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4 - 22830*n**3 - 411813*n**2 - 755124*n - 366144 = 0. What is n?\nAnswer: -16, -1, 7628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116307 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h + 2. Let r be x(-3). Let w be (48\/9)\/(r\/(-15)). Suppose m + 4*d - 6 + 22 = 0, 2*m - 4*d - 16 = 0. Sort 1, w, m in ascending order.\nAnswer: m, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3606850 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 590 + -346. Suppose -f + x = 5*s, -150 + 38 = -2*s - 4*f. Suppose 21*t - 289 = -37. What is the greatest common factor of s and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 63.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -7\/3*l**2 - 8\/3 - 14\/3*l - 1\/3*l**3 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116442 - 45412493\/390. Find the common denominator of 71\/840 and k.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 14) in base 16?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 - 77*j**2 + 37*j + 128. Let y(i) = -2*i**3 - 38*i**2 + 18*i + 64. Let s(k) = -3*n(k) + 5*y(k). Is s(39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, 171\/5, -0.28?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 269*v**5\/120 + v**4\/24 + 10*v**3\/3 + 38*v. Let i(m) be the second derivative of x(m). Is i(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 746305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93131.91ml?\nAnswer: 93.13191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*f + 68. Let b(w) = 4*w**2 - 401*w - 1642. Calculate the remainder when f is divided by b(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -11*k**2. Let r(c) = 4861*c. Give d(r(u)).\nAnswer: -259922531*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 17238 in ascending order.\nAnswer: -7, 2, 17238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.5 (c) -0.1 (d) -0.8 (e) -10024 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h**2 - 3*h + 40*h**2 + 3*h.\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 24 = -5*o. Suppose -o*a + a = -117. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1377*w**3 + 168 wrt w.\nAnswer: -4131*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i = 51*i + 1520 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -1153.\nAnswer: -42\/1153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 8:22 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 4:07 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*q + 12, -8*q + p - 154 + 150 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/46554, -1\/4, -0.4?\nAnswer: 1\/46554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3137 is divided by 1257?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c = 4*y + 21*c - 212842, -3*y - c = -159644. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.4 + -11.7. What is the closest to -1 in -3, -7, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 804, 1168, 1532?\nAnswer: 1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 161604.4 micrograms?\nAnswer: 161604400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-20))\/(18\/(-350)*640\/(-384)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.204193 from -2312.49.\nAnswer: -2312.285807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 23 + 138. Let m be (i - 19)*(-10)\/(-8). Solve 4*h = -0*w - 5*w + 20, -3*h + 15 = -m*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 x, and 1 c when three letters picked without replacement from coooxox.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/468*45*288\/(-40)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51750 and 2760?\nAnswer: 207000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3 - 3 + 2*x - 2 + 8. Let c(y) = -12680*y**2 + 4 + 12634*y**2 - 4. Determine k(c(u)).\nAnswer: -92*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -w + a - 26, 2*w = a - 38. Let d be (-156)\/w + 1\/3. Let t(i) = 2*i**2 + 6*i + 2. Let l be t(-4). Is l greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by 2486.\nAnswer: 34\/1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -203, -442, -695, -968, -1267, -1598?\n\"Answer: -h**3 - h**2 - 229*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -48. Suppose -l*j - 631 = 219. Is (-4)\/(-8) + j\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) -5 (c) 2\/13 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*s**2 + 492*s**2 - 1269*s + 1269*s.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0*c + c**2 + 1\/8*c**4 + 1\/6*c**3 + 0 + 11\/20*c**5. Is b(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3*b + 15*b - 11*b in the form m + p*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfno when four letters picked without replacement from {k: 11, n: 1, f: 1, o: 2, t: 1}?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10329 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 m when three letters picked without replacement from {r: 4, m: 6}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 + -10 - (-1 + 1). Solve w + 0*u - 2*u = o, -2*w + 3 = -5*u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/195111 and -25\/120783.\nAnswer: 2536443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - u - 2*u + 13 = 0, -t = 5*u + 1. Let v = -2770 + 2774. Factor v - 2*p**t + 4 - 8.\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116729388 and 353628.\nAnswer: 1284023268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (3 - 5 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/44853696 and -59\/180?\nAnswer: 224268480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -17 + -18 + (2 - (2 - 22)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 5)*(-2*g**3 + 8 - 8).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -14*o + 3 - 4 + 2 - 5*o. Is p(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (155 - 118) + 8 + (13 - 10)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 171488 + 1388512. What is t rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*3\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d72cc2 (base 14) to base 12.\nAnswer: 4b5790a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 19*d + 9*d - 20808. What is the remainder when d is divided by 286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 73*j - 582, -2*g - 71*j = -63*j - 68 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1057 = 13*m + 1057 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 21*q - 32. Let f(h) = 15*h - 33. Determine -2*c(j) + 3*f(j).\nAnswer: 3*j - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(4*l - 3*l + 0*l)*(30927*l - 57443*l + 31535*l) as n*l**2 + i*l + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 790 + -730. What is the lowest common multiple of d and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -118776.915 to the nearest 10.\nAnswer: -118780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/11)*y*y*y**(1\/3)*y*y**(-3)*y\/((y**(1\/4)\/y)\/y)*(y**(-1\/2))**45\/((y*y**(-7))\/(y*y\/(y**(-5)*y)*y)) assuming y is positive.\nAnswer: y**(-823\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -99 and -22.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*d + 4*t = 100*d + 15, 3*d + 5*t - 24 = 0. Sort 0, 8, -1, d in decreasing order.\nAnswer: 8, d, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*r - 2*f - 14, 0 = 2*r - f - 10. What is the third derivative of 10*i**2 - 27*i**5 - r*i**5 - 7*i**2 - 2*i**2 - 2*i**4 wrt i?\nAnswer: -1980*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 355110766 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16699 is divided by 96.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/21)\/((-15125)\/10164*9\/(-30)).\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 264 = 27*o. Is -1*o\/(-8) + 2336 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i. Let u be (12\/(-10))\/(11\/(-55)). Let d(p) = 23*p. What is u*d(j) - 17*w(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -1\/165*z**6 - 1\/110*z**5 + 0*z**2 + 0 + 114*z + 5\/66*z**4 - 1\/11*z**3. Factor g(w).\nAnswer: -2*w*(w - 1)**2*(w + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 + 3*x - 1. Let j(h) = -h - h**2 - 2*h + 2*h. Let p(i) = -c(i) - 2*j(i). Let u(a) be the first derivative of p(a). Differentiate u(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119558 - 168.\nAnswer: -119726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -123*p**3 + p**2 + p. Let h be q(-1). Let x = h - 499\/4. Which is bigger: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 2*r + 25, -c - 64*r + 5 = -67*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*o - 2*o - 28 = 0, -p = -o - 8. Suppose -2*r - p = -20. Calculate the lowest common multiple of r and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 2:39 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6489 + -0.3531. Round t to three decimal places.\nAnswer: 0.296","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/15460 and -87\/620?\nAnswer: 479260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 59 + 1709*t + 2271*t)*(-2*t + 1 - t + 0*t).\nAnswer: -11940*t**2 + 3980*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.5 (c) -7 (d) -13\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 - 70 = -5*a. Suppose 3*r - 15 = -o, -3*o + 0*o + 13 = r. What is the greatest common divisor of a and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x - 3*x - 4*x - 13*x. Let r(t) = -2*t**2. Calculate r(p(h)).\nAnswer: -2048*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 808480.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -5*n**6\/2 - n**2 + 19. Find the second derivative of o(g) wrt g.\nAnswer: -300*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 1, a: 2, n: 1, d: 3, h: 3}. What is prob of sequence zhd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236791, -473587, -710397, -947227, -1184083?\nAnswer: -1420971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 6:07 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 2:11 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89133806 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from essu. Give prob of picking 1 u and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -6. Let o = -184 - -554\/3. What is the closest to o in -4, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.35 (b) 4\/7 (c) -3 (d) 27 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 - 4*l + 2. List the prime factors of s(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, m: 1, p: 4}. What is prob of sequence mpp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1930 - -11681\/6. What is the common denominator of n and 25\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35888313611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 235 - 11 = 0. Let l = -35 + t. Let y = 107 + l. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -n - 5*v, 4*n - 8*v + 7*v = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28612 times -5?\nAnswer: 143060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4\/7))\/z*z*z\/(z*(z*z**(-4))\/z*z))**(-26) assuming z is positive.\nAnswer: z**(-624\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9086 is divided by 2910.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3731976 and 0.01?\nAnswer: 0.003731976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1691562?\nAnswer: 2, 3, 281927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(833) + -1 + -3 - -4*(sqrt(833) + 1)))**2 + (-1*((sqrt(833) - sqrt(833)*1)*-3 + (sqrt(833) + -1)*-1))**2.\nAnswer: -14*sqrt(17) + 334034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*o**3 - 2*o**2 - 1517*o - 4412550 wrt o?\nAnswer: -54*o**2 - 4*o - 1517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.97 + 0.03. Suppose 0 = 2*h + 2*h + 4*d - 16, 5*d - 12 = -3*h. What is the fourth smallest value in 1, o, h, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 4. Suppose 3*m + 3 = 15. Suppose a - 2*w = -9, 37 = -m*a - a + 2*w. What is the units digit of d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/19495 and -77\/60.\nAnswer: 233940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 3792*i**2 - 49127*i - 5. Calculate w(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*g = -5*z - 142*g + 5, 3*g + 3 = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-12)\/30)\/(-4 - (-2877)\/720)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 546\/1014*(-4)\/(-14).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 0 + (7 - 12). Let z be (2\/((-8)\/k))\/((-39)\/(-520)). Suppose 29*o + z = 31*o. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2. Let y(r) be the first derivative of 4*r**3\/3 - 22. Calculate d(y(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4482 (base 10) in base 5?\nAnswer: 120412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-5 - -3) + 5. What is the units digit of 38384\/112 - t\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 489*p - 2849808000 = 0. Round p to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 44, -5, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**2 - 68847*r + 206568 = 0.\nAnswer: -22952, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.37964nm in centimeters?\nAnswer: 0.000002637964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85348235 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8925103 to the nearest integer?\nAnswer: 2987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51151 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1473 + 24*l**2 + 1473)*(-4*l**2 - 2*l + 2*l) + 0*l**4 - l**4 - l**4 + (1 - 2*l**2 - 1)*(-4 + 4 + 2*l**2).\nAnswer: -102*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 18 + 3)*(q**2 - 2*q**2 + 4*q**2).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 2:05 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**10*r\/r**(-1\/16))\/(r**(-1\/4))**(-35))**(14\/13) assuming r is positive.\nAnswer: r**(371\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 5*p + 0*p)*(p - 1 + 2*p - 7*p) to the form s + l*p + d*p**2 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8 = -2. Suppose 0 = c - o*c. Is (c\/3 - -2) + 7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Suppose 3*h = 2*n - 1, 8 = 4*n - 4*h - 0. Find the first derivative of w - 4*r**2 - 1 + n*r**2 wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 11*f - 9. Give d(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63\/299 + 19\/23. Let s = w - 45\/52. Sort -0.12, 4\/7, s in ascending order.\nAnswer: s, -0.12, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1136 in -5, -2\/3, 69.1, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -1.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 7. Let o be h(5). Let s be (30\/4)\/3*o. Solve -4*g**3 + g**s + 2*g - 2*g**5 + 3*g**5 = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.954 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 7\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(6\/17)\/x)\/x*((x**(-6)\/x)\/x)\/x)**34 assuming x is positive.\nAnswer: x**(-362)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00234293 rounded to six dps?\nAnswer: 0.002343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*z - 200*z - 20*z - 333*z.\nAnswer: -494*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -101021100212020 (base 3) in base 13?\nAnswer: -1191c03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1286 + 403 - 498 = -397*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c + 23 = -3*k, -2*c + 5*k + 41 = 0. Let f = 0 - 8. Let y = c + f. Which is smaller: y or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6)*(-6 - -27). Let p = l + 16. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 5*b**2 - 12*b - 97. Calculate j(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41 - 41 + 4*j + (-2 + 1 + 0)*(-j + 2*j - 4*j).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3042 divided by 6\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 25 + 325 = 0. What is the highest common divisor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 236 and 28.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*g**2 - 22*g + 22*g as f + m*g**2 + l*g and give m.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 274489 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 235309 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 532 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145926012845772*s**2 + 41846292*s - 3 = 0. What is s?\nAnswer: 1\/6974382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*t - 80 = -2*y, 2*y - 72 = -3*t. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 471, 469, 465, 459?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*b - 869*b**2 - 306 + 787*b**2 + 28*b wrt b.\nAnswer: -164*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*x - 77 - 86, -2*x - 198 = -4*v. Suppose 153 = 3*j + 2*k, 3*j - 2*k - v = 106. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65072.05ml?\nAnswer: 65.07205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 14*b - 44. Let k be l(-9). What is the biggest value in 23, k, -5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167617 (base 8) to base 9.\nAnswer: 103111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228028304 and 313538918?\nAnswer: 2508311344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10\/11)\/p**(-7))\/(((p\/p**5)\/p)\/p)**(-3) assuming p is positive.\nAnswer: p**(-131\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459684?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, n: 1, a: 4, i: 1, w: 5}. Give prob of picking 2 a and 1 w.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -16 + 21*n - 14*n**2 + 13*n**2 - 18. Let c be x(15). What is the greatest common divisor of c and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4 = i, -2*i = -3*i + 3*b - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 75, 28, -25, -84?\n\"Answer: -3*k**2 - 38*k + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 12160\/512 - (-6)\/(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35813\/10 + 3593. Let y be 1156\/(-224) - ((-13)\/4 - -4). Let u = 44\/7 + y. Calculate the common denominator of u and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 9*s - 4. Let a(d) = -6*d**2 - 1. Let h be a(1). Let v be y(h). Let j(w) = w**3 - 11*w**2 + 13*w - 9. List the prime factors of j(v).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12914)\/(-352))\/((-2)\/8)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**5 + 0*d**5 + d**5 - d**5 - 4 + 4 + (-1 - 2*d**2 + 1)*(3*d**3 + d**3 - 5*d**3) + 3*d**5 + 2*d**5 + d**5.\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -1, -1 + 5 = 4*i - 4*t. Let y = i + 0. Solve 2*j + 8 = 0, -b = -y*b + 3*j + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*l - 3 - 3, -3*b + 8 = -4*l. Let a be 1 + -2 + -2 - -11. Calculate the highest common divisor of a and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.35077 centuries in years?\nAnswer: 6835.077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1372407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.8, 3, 0, -203, 0.5 in decreasing order.\nAnswer: 3, 0.5, 0.1, 0, -0.8, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqssqqsqqqq. Give prob of picking 1 s and 1 q.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 5*h - 4. Give i(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Let c = -6 - -4. Let f = c + j. Solve -m = 5 - f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - 15\/(-6). Suppose 2*q + z*n - 2 = 0, -4*q - 4*n - n + 4 = 0. Which is greater: q or -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6468 (base 9) to base 7.\nAnswer: -16610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g + g - 4*f + 15 = 6*g - 25*g, 36 = 9*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1211, 5267, 12773, 24341, 40583, 62111, 89537?\nAnswer: 123473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, p: 2, z: 6, e: 2}. What is prob of sequence pz?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3351 less than 3349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -366, -723, -1282, -2079?\nAnswer: -3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c. Are c and 0 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*r + 64*r - 30672 = 0. Does 73 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 5)*(-b + b - 2*b)*(-2 + 4*b + 2).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20956 divided by -1?\nAnswer: -20956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 445054697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21012105 (base 7) to base 2\nAnswer: -110101111100111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**5 - 8*b**4 - 180*b**3 - 136*b**2 + 320*b = 0. What is b?\nAnswer: -5, -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 573.4 + -568.4. Put 79, 2\/3, p in decreasing order.\nAnswer: 79, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbf when three letters picked without replacement from {d: 5, g: 2, x: 3, b: 1, f: 3, h: 1}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5 = -5*w, 5*w - 16 = 2*x - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 768.753 hours?\nAnswer: 32.031375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) + 28*(-42)\/(-36). What is the greatest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t. Let l be 0 + 2 - (5 + -3). Let i(m) = -6*m + l*m + 2*m - m - 4*m**2. Let q(r) = 10*b(r) + 2*i(r). Let x(w) = -2*w**2. Calculate x(q(d)).\nAnswer: -128*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3433658 and 232.\nAnswer: 13734632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/32 and 19\/3875688.\nAnswer: 15502752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -925*q**6 - 3236*q**3 + 175733457*q**2 wrt q?\nAnswer: -111000*q**3 - 19416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 12. Suppose 0*z - w = -3*z. Solve 5 = -4*i - z*j + 2*j, -3*i - 4*j + 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1\/4, -2\/13, 2, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g**3\/5 + 2796*g**2\/5 + 6066*g\/5 - 2320164\/5 = 0. What is g?\nAnswer: -462, -31, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 10098 (b) -20 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 4*m**2 + 36*m - 2*m - m**2 - 1. Let a be 21\/(14\/(-8)*(-78)\/91). Is o(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2142 divided by -1.\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**5\/60 + w**4\/6 + w**3 + w**2. Let j = 4 + 1. Give y(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -2.32388?\nAnswer: 13.94328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1261525766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4135, 8252, 12357, 16444, 20507, 24540?\n\"Answer: -u**3 + 4124*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -3\/2, -0.4, -10, 116, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8) + sqrt(48)\/sqrt(54)) + (sqrt(396) + sqrt(396) + -2 - sqrt(11)) + 3.\nAnswer: 1 + 47*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 931000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17794945 divided by 5257?\nAnswer: 3385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2401 * -21.\nAnswer: -5.0421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -165.7782.\nAnswer: -1989.3384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12813 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5 (b) 1\/2 (c) 70 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65011*m**4 + 2279*m - 65013*m**4 - m**3 + 0*m**3 + 3*m**2 + 1 to the form l*m**3 + i*m**2 + x*m + k + s*m**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12915824699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 5*f = 135, 0 = -18*p + 17*p + 5*f - 102 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6903993 by 3.\nAnswer: -2301331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 530\/62877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 41\/(3\/2 + -1). Let j = n + -54. Suppose 5*f - 27 - 43 = 0. What is the highest common divisor of f and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-11))\/(y\/y**(-7)*y)*(y\/(y*(y*y\/y**(-1\/14))\/y)*y)\/(y\/(y*y**(-6)*y)) assuming y is positive.\nAnswer: y**(-323\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121548.\nAnswer: 2, 3, 7, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**3\/6 - 3*y**2\/2 + 14*y. Let k be x(7). Solve -2*s = -4*s + k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 48*n - 231. Give r(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 5*b + 4*b)*(0*b**4 + b**4 + b**4) - 5*b**5 + 3*b**5 + b**5 + (-4*b**4 + 0*b**4 + 5*b**4)*(2*b + b - 6*b) - 4*b**5 + 8*b**5 + 0*b**5.\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 - 10 = 0. Suppose 5*s + 6*v + f = 3*v, 4*s + 2*v = -10. Suppose s = -3*p + 2*r - 8 + 172, 240 = 5*p + 5*r. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:05 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 + -165. Calculate the lowest common multiple of k and 1748.\nAnswer: 8740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/8778 and 61\/60192?\nAnswer: 421344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 235 - 2*f**3 - 5*f**3.\nAnswer: -7*f**3 + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 327 + 435. Let p = l - 675. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -777 + 815071\/1049. Let d = b + -74467\/6294. Calculate the common denominator of -23\/6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3220?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 758 - (10 + -19 + 24 + -13). Calculate the greatest common factor of 812 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 (base 6) in base 14?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 96 = 2*k. Let j be ((-3)\/2)\/(2\/k). Suppose t + 0*t = -j. Round t to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-144)*6)\/(1 + 1). Sort 3, 13, w, -3.\nAnswer: -3, w, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70.767 - -1.233. Which is the closest to n? (a) 3 (b) 5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 39 - (-6)\/(-2)*1. Let j be (-2)\/(-7) + 164\/14. What is the greatest common factor of j and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(0 - 6\/(-3)). Let a(s) = s**2 - 3*s + 1. Let g be a(o). Suppose -y + 49 = g*t, -23 = -2*t - 5*y - 8. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/6 - (70977\/(-18) + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 89 = c, -2*j + c + 2*c + 41 = 0. Calculate the greatest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -5 - 5 - -1) + 84\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -250, -434, -546, -526, -314, 150, 926?\n\"Answer: 10*a**3 - 24*a**2 - 182*a - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -129600 rounded to the nearest one thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-9)*6\/(-2) - 4. Which is the third smallest value? (a) 1 (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a, n + 4*a = 5*a - 0*a + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 15*h - 57 = -13*h, -3*h - 99 = 6*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 1\/2, 79?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(-7)\/n)\/n*n**(-5))\/(n\/(n\/(n**(-2\/29)*n))*n\/(n**(-15)*n)*n) assuming n is positive.\nAnswer: n**(-868\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -781634.384 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-5)\/(60\/8)). Suppose m*t = -2*h + 3749, -2*h - 3*h = -5*t + 6240. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5805909 divided by 645101?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let l(a) = 6*a + 59*a**2 - 13*a + 7*a - 15*a**2. Determine t(l(p)).\nAnswer: 3872*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1814615 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(4*h - 4*h - 2*h) + 4*h - 4*h - 2*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16252311 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8656 = -592*n - 490*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/1175 and 18\/22325?\nAnswer: 22325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + 1 + (4 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.11, 16\/15, -1\/4, 2\/3, 3\/4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*p**4 + 6*p**2 - 4*p**2 - 6*p**2 wrt p?\nAnswer: 360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1*x\/(x*x**(-2\/11)))**(2\/21) assuming x is positive.\nAnswer: x**(26\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/(-1*2\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 6. Let t(z) = -z**3 + 11*z**2 - 3. Let o be t(11). Let k be y(o). Solve 3*q - 2*q + 2 = 0, -j - 7 = k*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: What are the prime factors of 325548?\nAnswer: 2, 3, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5584*v + 5543*v + 82 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 + -3. What is the least common multiple of 8 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112.057 - 112. Let d = 0.157 - b. Let v = -6.3 + 6. What is the closest to 1 in d, v, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33966 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 136 = -145*r. Let w(h) = 7*h + 5. Let d(q) = -q - 1. Determine r*w(v) + 6*d(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*s**2 - 1690*s + 1690*s.\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 0*v + 14 + 7\/2*v**3 + 3\/2*v**2. Find r, given that d(r) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33442 - -10?\nAnswer: 34002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 19524261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - d**2 + 3. Let a be w(0). Let o be (-3)\/(9\/(-2) - -3). What is the first derivative of a*h**4 - 2*h**2 + o*h**2 + 1 - 2*h**4 wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-118\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*sqrt(99)*2.\nAnswer: 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27154 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hihihiiiii. Give prob of sequence hhi.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen sixteenths of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1176*t - 3475*t + 1103*t + 1120*t.\nAnswer: -76*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -31*o**2 + 33. Let j(y) = -10*y**2 + 11. Let s(l) = 8*j(l) - 3*v(l). Is s(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*s + 492, -22 = 5*s - 2. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4240 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) + 10254\/36. Let b = v - 282. Calculate the common denominator of b and 7\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2343656 and 5004.\nAnswer: 2931913656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 9:46 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 - 5*v + 14. Let c(s) = -3*s**2 - 6*s + 13. Let k(a) = 3*c(a) - 2*z(a). Let b be -1 + 0 + 1 - 8. What is the units digit of k(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*p**3 + 747*p**3 - 374*p**3 = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20022377 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.09 (c) -0.3 (d) -5\/3 (e) -1\/6 (f) -1\/30\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23597902.\nAnswer: 2, 11798951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.45672 from -24.303025.\nAnswer: -25.759745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 != -5000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.82.\nAnswer: -2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -93692*m + 3. Let u(x) = -25*x. Determine u(k(j)).\nAnswer: 2342300*j - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92286820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, 1\/13, -13, 9\/7, -61 in descending order.\nAnswer: 9\/7, 1\/13, -13, -61, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 6*w + 5. Let b be j(5). Suppose b = -0*p + p. Suppose p = -2*f + 6 + 14. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 77, 119, 197, 323?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 298.16 - 298.14. What is the biggest value in -0.03, -5, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*w - 4 = 0, 2*b + 0*w + 3 = -3*w. Let i be (0\/4)\/1 - b. Let m(y) = y. Give m(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4178, -8366, -12564, -16772, -20990, -25218?\nAnswer: -29456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184833 greater than or equal to 184758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 3*o + o + 112 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -5, -3\/2, 4.\nAnswer: -5, -3\/2, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4168 to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*c + 2 + 4, 5*c = -10. Suppose 5*q = -4*d + 165 + 54, -2*q - 4*d + 90 = k. Round q to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + 124 + 0*i**2 + 3*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*g, -504*y + 509*y + 5 = -2*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.311 + 0.181. Let w = 598 + -598.63. Let v = u - w. Which is the nearest to -1? (a) 1\/2 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26247574?\nAnswer: 2, 157, 83591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 43*y**2 - 28*y + 54. List the prime factors of k(18).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5.1. Let i be 1\/(-14)*(-4)\/(-2). What is the nearest to u in i, 2\/3, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -358 + 362 - (-1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 15*f + 9. Give r(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i - 297. Let w = -67 - i. Suppose -5*g + 3 = -w. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 14. Let y be 4\/p - (0 - 0). Suppose 0 = -0*u - 5*u. Is u greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 5*s)*(-1 + 1 - s**2)*(-s + s - 2*s**2 + (-2*s - s + s)*(0 + 0 - 2*s)).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(4) + sqrt(256)*4) + 2.\nAnswer: sqrt(11)\/33 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 79 (b) -6175 (c) -0.3 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 7*y**2 + 10*y + 1. Calculate u(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2. Let y(g) = 2*g. Let k(n) be the second derivative of 5*n**3\/3 - 14*n. Let l(d) = 3*k(d) - 16*y(d). Calculate j(l(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 40, -7, 1\/3, 2, 19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 1182 - 469 = -20*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 477*p - 22685. Determine s(-521).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**4 + 4*y**4 + 3*y**4 + (-5 + 0 + 2)*(2*y**2 - 2*y**2 - 2*y**4) + y**3 - y**3 + 2*y**4)*(-3*y - 5 + 5 + (5 - 2 - 1)*(5*y - y - 2*y)).\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 9*b**2 + 6*b - 12. Calculate m(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.0471 to two decimal places.\nAnswer: -5.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 998.7301 millilitres in litres?\nAnswer: 0.9987301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1071*f**2 + 245*f - 1822. List the prime factors of p(8).\nAnswer: 2, 3, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z. Let w(g) be the third derivative of 0*g**3 + 1\/60*g**5 + 0*g**4 + 0*g + 0 - 2*g**2. Determine w(t(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -129, -86, 37, 282, 691, 1306, 2169, 3322?\n\"Answer: 7*o**3 - 2*o**2 - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -105. Suppose -4*p + x = -3*b, 4*b + 5 = 5*p - 52. Let w = p - 10. Is -1 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35775 - -18075. Round p to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**2 + 2107*l**4 + 6*l**2 + 0*l**2 - 364*l**4 + (2*l**3 - l**3 + 0*l**3)*(-3 + 3*l + 3) to j*l**2 + y*l**4 + z + g*l**3 + r*l and give y.\nAnswer: 1746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -10. Find the second derivative of -2*f + 9*f**j - 9*f**2 + 2*f**4 wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6.6. Let t = 0.7 + n. Let w be (-2 + 0)*2\/10. What is the third smallest value in t, 3\/5, w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-51834)\/3763*(-9)\/(-62) - 2\/(-1). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 100\/36 - 2\/(-9). Suppose 4*n - 21 = -1. Suppose 0 = 4*c - n + 1. Solve -c - 11 = -s*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 89 + 226. Let w be (-140)\/k - ((-50)\/18 - -3). Let x(y) = -y**3 - 2*y**2 + 2*y - 1. Let j(v) = v**3 + v**2 - v - 1. Give w*j(b) + x(b).\nAnswer: b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 114*m - 1083.\nAnswer: -3*(m - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 101*t + 10. Let h(p) = -34*p - 3. Calculate -7*h(n) - 2*o(n).\nAnswer: 36*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9062 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2 + 206*d - 66. Let w be s(34). Let t be 3 - ((1 - -1) + -2). Solve -w*g + 16 = 4*k, -t*k - 2*k = -5*g - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + s + 3*s + 0.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19\/10 of a centimeter?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) - 61365\/216. Let s = u - -283. Let o = -12401\/4 - -3075. What is the common denominator of o and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, l: 2, b: 1, n: 2}. What is prob of picking 1 l and 2 x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 11. Let d = g - -6. Let x = -6 - -6.3. Sort x, d, -4 in ascending order.\nAnswer: -4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 - 2*u + 4. Let k(g) = 1. Suppose -3*i - 3 = -f, -29*f + 30*f = -3*i - 9. What is f*k(s) + o(s)?\nAnswer: 3*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*z, 0 = -26*a + 22*a - 5*z - 48 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9*(76\/(-8) - -5). Let v be 4\/(-9)*(6\/30 - 282\/60). Let o = 20 - 10. Solve -q*s - v*s + o = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 226260 = -2*o - 4*k, k = -4. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 8. Let o be l(5). Solve 0 = 2*d - 6, 7 = -2*x + o*x + 4*d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109705\/21 + 5223. Let m = -23\/42 - w. Let t = -0.1 + 5.1. What is the closest to 0.3 in -1\/2, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 3*n**2 + 3*n**2)*((0 + 4 - 3)*(n - 2 + 2) + n - n - 2*n - 6*n - 9 + 9).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2423 equal to -2422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 - 45 = -6*r. Let b = r + -32. Suppose w + 3*w = -2*p + 94, -5*p - b*w + 253 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 29. Let y = s + 15. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(2\/7))\/z)\/(z\/z**(2\/19)))**(-1\/11) assuming z is positive.\nAnswer: z**(157\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(28\/12 + -3). Suppose -f = -i*f + 33. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxb when four letters picked without replacement from xxxxxxbxxbxxxxxxxxx?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9373 + -9371.952. Round x to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1608999384?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 91 + 61 - 512*q - 2*q**2 = 0. Calculate q.\nAnswer: -256, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -49\/114451?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from ggiguggggggpiggp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-3))\/(-2))\/(70\/1260)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -98b5107 + 0?\nAnswer: -98b5107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 76. Let f = u + 21. Suppose f*o = 5*o - 370. Calculate the remainder when o is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5284190.\nAnswer: 2, 5, 528419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(-9) - (208\/120 + 14\/(-35))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3890 + 15557\/4. Let g = -3 + 5. What is the nearest to -1 in g, -2\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -34.5. Let h = -113 + 69. Let w = 44 + h. Sort f, 1, w in ascending order.\nAnswer: w, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/4, 37 in descending order.\nAnswer: 37, 3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4057, -4055, -4053, -4051?\n\"Answer: 2*k - 4059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4*j - 24 = 0, 0 = -7*g + 9*g + 3*j + 18 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 13*p**2 - 9*p + 75. Let y be v(-14). Find the third derivative of 82*i - 139*i**5 + 7 - 2*i**2 + 13 - 20 + 400*i**y wrt i.\nAnswer: 15660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (26 + -14)) + (0 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(8 + -4))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1.67716.\nAnswer: 0.503148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -10. Let y be 97599940\/8 + i\/(-2). Suppose -b - y = -2*n + b, 5*n - 30499984 = 4*b. What is n rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 89, 181, 273?\n\"Answer: 92*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 2\/(-4) - 8\/32*-114?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/3)*c*c**8*(c\/(c**(4\/11)*c)*c)\/(c**(2\/145)*c) assuming c is positive.\nAnswer: c**(42854\/4785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -138, -193, -246, -297, -346, -393?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 140*k**2 - 270*k + 89. What is m(-68)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o + w + 36, o = -2*w - 34. Let y = 75 + o. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 4*z + 2. Let c be ((-8)\/(-10))\/(2\/(-10)). Let j be v(c). Solve -f + 5*a = 20, -j*f + 3*a - 16 = -a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 381012257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00037216 to five dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/3735269 and -129\/230.\nAnswer: 37352690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 3, 37, -2\/51?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 1050375*g**2 + 54625584*g + 710158956.\nAnswer: -3*(g - 350177)*(g + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 11:38 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 10\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101761 and 968?\nAnswer: 814088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11831 + -11827. Let g(c) be the second derivative of 12*c**2 + 14\/3*c**3 + 1\/3*c**f + 0 + 16*c. Let g(l) = 0. Calculate l.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 409 - 407. Suppose 2*q - 672 = -n*w, -2*w + 259 = -5*q - 399. What are the prime factors of w?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -2*c**5\/45 - 4*c**4\/3 + 104*c**3\/27 + 1003. Factor v(o).\nAnswer: -2*o**2*(o - 2)*(o + 26)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**3 + 8691*g**2 - 8691*g**2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**5 - 1040*j**4 - 7200*j**3 - 9220*j**2 + 7202*j + 10260 = 0.\nAnswer: -513, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, 234, 130?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2138518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9 + 0)*901080\/87605\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbggbggggbgg. Give prob of picking 4 g.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1 = -13, -48 = -4*b - 2*o. Let k be 165\/50*-3 + b. Find d, given that 3\/10*d + k*d**2 + 1\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 205337203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooioooooi. Give prob of picking 1 i and 3 o.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.1. Let j = -0.25 - 0.18. Let c = j + 0.03. What is the nearest to 1 in c, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 7*a - 3*a. Suppose 2*j + a = 5*j - 5*h, j - 3 = -3*h. Suppose -j*i - 9 = -0*i - 5*g, 0 = -i - 3*g + 11. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**2 + 111*y - 453. Give k(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + 4 - (sqrt(5) + 5*sqrt(15)\/sqrt(3)))*2.\nAnswer: -10*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 43 - 44 = -115 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 10*m**2 - 2*m - 6. Calculate the lowest common multiple of 20 and u(-10).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -645, -1097, -2111, -3897, -6665, -10625?\nAnswer: -15987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15381251?\nAnswer: 15381251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*g = g + 59, -11*t = 5*g - 116. Solve -32 + 43 = t*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-5)\/10 - 1*-76. Let d = y - 72. Solve -d*v + 4*i - 19 = -5, 0 = -4*v - 5*i + 24 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64901509?\nAnswer: 1087, 59707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 374*r**2 - 4917*r + 746. Calculate w(13).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 124832 = -85978. Let s = z - 7729809\/110. What is the common denominator of 93\/20 and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -567 + 574. Let g be (11 + -4 - i) + 9. Solve -3 = -m + b, 0*b - g = -2*m - b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -946140, -946141, -946142?\nAnswer: -946143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2574 - -5808. What are the prime factors of z?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267213051841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75842251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -174 - 789?\nAnswer: -963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (62160\/(-150))\/(-56)*-5\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-2\/3)*c)\/c*c*c)\/((c*c*((c**4\/c)\/c)\/c*c)\/c))\/(c**(1\/2)\/c**4)*((c**(-6\/5)\/c)\/(c\/c**7))\/(c\/c**(-1)*c**(-7\/5)*c) assuming c is positive.\nAnswer: c**(151\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:36 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, c: 5, z: 9, d: 1}. What is prob of sequence dctd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 11:56 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:49 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 18, 63, 144, 273, 462?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14848 divided by 232.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 27 + i + 21 - 48. Let x(o) = -o**2 + 5*o - 5. Let c(v) = -v**2 - v + 1. Let t(u) = -10*c(u) - 2*x(u). Calculate m(t(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24918, 99285, 223098, 396357, 619062, 891213?\nAnswer: 1212810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 + 3101*a**2 + 87585*a + 84483 = 0. What is a?\nAnswer: -27, -1, 3129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3070320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 27*f**2 + f. Is 13 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1068 or 1069?\nAnswer: 1068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -14.91, 2\/3, -0.15 in descending order.\nAnswer: 2\/3, -0.15, -14.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j - 47. List the prime factors of j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, 2\/623, -290 in descending order.\nAnswer: 2\/623, -0.4, -1, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 8*r**3 - 34 - 35 + 101 - 8*r**3 + 15*r**3 - 8*r**3.\nAnswer: 7*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**2*i*i)\/i))**12)**(-48)*(i\/(i\/(i\/(i*i**0\/i*i))))**21*((i\/(i**1*i*i)*i)\/i)**(3\/14) assuming i is positive.\nAnswer: i**(12093\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222 or 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g - 51*g**3 - 8*g + 52*g**3 to a*g**2 + n*g**3 + p + x*g and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 + -93 + -22 + -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225\/14 - -369\/14. Let 20\/7*i**3 + 54\/7 + z*i**2 + 108\/7*i + 2\/7*i**4 = 0. Calculate i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 67*o = -921 + 228 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 9 = o - 3*a, -3*o - a = -27. Suppose o = 2*h + 5. Let v(u) = 6*u**2 - 2*u + 3. Calculate v(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3476441254 to the nearest integer?\nAnswer: 58961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 8:23 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11725*n**5 + 73*n**4 - 71*n**3 + 126405667*n**2 wrt n.\nAnswer: 703500*n**2 + 1752*n - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/(-7))\/(2\/28). Suppose 390*i = 319*i + 4331. Which is greater: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133803?\nAnswer: 3, 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-16)\/(-2) - 7)*540 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdswwss. What is prob of picking 1 d, 1 s, and 1 w?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202, -200, -196, -190, -182, -172?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.096 + -0.096. What is the nearest to -32 in 5, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c - 104 = 0. Let l = c + 37. What is the tens digit of (5 - 1)*l\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -14. Suppose -l - 7 = -p*l. Is 18\/l*28\/(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -13 + (7 - 32\/4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3481.0100082.\nAnswer: -3481.0100082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3719059?\nAnswer: 3719059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -62 + 2*w**2 + 4*w**2 + 61. What is the tens digit of y(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -29.391.\nAnswer: -2.35128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*c = 62*c - 144. Solve -c*u - 57 = 10*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4680 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3)*(p - 2*p - 26*p) to a*p + y and give a.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-936)\/2028)\/((-2)\/23582). Is u > 5442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*j + 27 = 0, -4*s + 5*j + 44 = 13. Suppose 4*k = 4*d, s*k - 2*d + 5 - 1 = 0. Let f be 2 - 3 - (0 + -1). Sort f, 1, k.\nAnswer: k, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -2*p**6\/5 - 83*p**5\/20 + 4*p**4\/3 + 65*p**3\/6 + 7*p**2 - 8*p + 6. Solve u(x) = 0 for x.\nAnswer: -7, -2\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86? (a) 0.6 (b) -0.4 (c) 0.3 (d) -2\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36 + 0.14. Let p = q - 19.78. Let a = -19.9999971 - p. Round a to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0, 10\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.111 plus 11133?\nAnswer: 11130.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-9 + (17 + -10 - 10))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkw when four letters picked without replacement from {w: 1, d: 1, u: 3, k: 5, z: 3, m: 1}?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*d**3 - 25*d**3 - 5*d**4 + (-3*d**3 - 2*d**3 + 3*d**3)*(-6*d + 11*d + 2*d) to r + n*d**4 + w*d + u*d**2 + v*d**3 and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0, -1\/2, 1, 56.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1.3 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153 - 139. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/10)\/((-966)\/(-805))*15\/24. Suppose 5*s = -2*k - 1 - 8, -2*k = 4*s + 8. Which is the closest to p? (a) -0.1 (b) s (c) -0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37837652 divided by 4\nAnswer: 9459413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-126)\/(-10) - (-18)\/(-30). Let z(o) = -6 - a*o + 5*o**2 - 6 - 6*o**2. Is 10 a factor of z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1883*l = -95*l + 358*l - 63180 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4184 and 4716?\nAnswer: 4932936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -90, -4.\nAnswer: -90, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z - 18. Suppose 6*k - 35 = -17. Suppose -z = -i + k*i. Is -1 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -55 + (-9 - -20).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 5378?\nAnswer: 182852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11446, 22952, 34536, 46210, 57986, 69876, 81892, 94046?\nAnswer: 106350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*r - 315 + 50, 4*u + 2*r - 1078 = 0. What is the tens digit of u\/20 + 1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 18831 = -7329. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9413?\nAnswer: 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b - 4. Let s be q(-10). Let p = s + 89. What is the remainder when 73 is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1298 = -90*o + 4732. Calculate the remainder when 387 is divided by o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, o: 4, h: 2}. What is prob of sequence llhl?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 1\/2*n**3 - n + 0 + 0*n**2 - 1\/12*n**4. Let s be l(4). Put -3, s, 2 in increasing order.\nAnswer: s, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*s**3 + 8512 - 10*s**2 - 8514 + 4*s**2 + (2*s + 0 + 0)*(-s**2 + s**2 - s**2) as k*s**2 + i + r*s + x*s**3 and give x.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-3) - (-1)\/3. Let y(i) = -5*i + 271. Let q(n) = -n - 1. Let j(z) = 8*q(z) + y(z). Let w be j(18). Solve -w = -f*d - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -4 - 1 - 3 - (42 - 50)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.534 + 10.44. Round p to one dp.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 - 28 - 12) + (-1 - 67 - (19 + -16)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 + 17*p**2 + 1555*p + 17436. What is q(-11)?\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/20)\/((-31)\/(-4) - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 510.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 31 + (3 - 1) + 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 171, 165, 155, 141, 123, 101?\n\"Answer: -2*i**2 + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -173, 4, 1, -295 in ascending order.\nAnswer: -295, -173, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 460754 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**2 - 77*r - 81. What is h(-15)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -200*m + 130*m + 339360. List the prime factors of m.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40714 equal to 37355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2\/7 - 23896*z = 0.\nAnswer: -41818, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0, 83085?\nAnswer: 83085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/105*(-1256)\/(-8). Let s = -89\/5 - i. Sort 0, s, -4, 0.3 in increasing order.\nAnswer: -4, 0, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 310453367 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (-1 + (5 - 4) + 9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*125\/(-125).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9624.0199968 - 9624. Let w = p - 0.02. Round w to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 1711485?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*j - 551*j = 954*j - 480*j + 154088 for j.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 754870 - 503547. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 33*l**2 - 4*l + 114. What is d(33)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -387*k**4 + 2017*k**3 - 2017*k**3 - 9658*k**4 + (0 + 0 + k)*(-4*k**3 + 2*k**3 + k**3) in the form t + p*k**3 + j*k**4 + n*k + a*k**2 and give j.\nAnswer: -10046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (2*sqrt(80))**2.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(3*s - 4*s + 3*s) + 0*s + 0*s - 2*s + (7 + 1 - 4)*(4*s + 4*s - 4*s) in the form w + t*s and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055368696 to the power of 1\/4, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45879 - -3028081\/66. Calculate the common denominator of -40\/121 and r.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 152395, 609592, 1371589, 2438386?\n\"Answer: 152400*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (10 + -8 + -12) - (-2 + 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*n**5 - 95 + 194 + 12*n**4 - 92 + 4*n - 64 + 14*n**4 wrt n?\nAnswer: 100*n**3 + 312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -2 - -2) + -2. Suppose -2*z = -z - 33. Let k be 4\/14 + z\/7. Solve -2*o = -2*m + m + 9, 4*o - k*m + 15 = v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) 0.1 (c) 67 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-20) + (-87)\/(-12) + 0. Suppose -5*r + 183795 = 5*v, 0 = -5*r - x*v + 11*v + 183795. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(-3 + (sqrt(162) - -6*(1 + sqrt(162) + sqrt(162))**2) - (1 + 2 + sqrt(162) + -5 + 1*sqrt(162) + sqrt(162))).\nAnswer: 198*sqrt(2) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*d**2 + 8*d**2 - d**4 + 3*d**4 + 0*d**4 - 2*d**4 + (-5*d**3 + 2*d**3 + d**3)*(-2*d + d + 0*d).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = -2*z + 5*z, -4*q = 3*z - 11. What is the units digit of 36 - z\/((-20)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/572*13)\/(4\/(-2))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217851, -435740, -653627, -871512, -1089395, -1307276?\nAnswer: -1525155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34267 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13166 divided by -3474.\nAnswer: -6583\/1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4*x + x = 10, -x = 4*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 81*l + 134. Calculate a(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 3490746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17 + 290\/(-29))*4\/70. Suppose 14\/5*n + t*n**3 + 2*n**2 + 6\/5 = 0. Calculate n.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 16214730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-39)*126\/(-72)*(-2)\/7?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -187*k**2 - 320*k - 63. Differentiate j(o) with respect to o.\nAnswer: -374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 q when four letters picked without replacement from qqqqqqqqqzqqzzqqqzqq.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2. Let t(g) be the first derivative of -107*g**4\/12 + 3*g**2\/2 - 20*g - 82. Let f(h) be the second derivative of t(h). Determine f(m(a)).\nAnswer: -214*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -291 + 549. Let a be y\/4*2\/3. Let h = 190 + a. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11696 + 11698. Solve -z*w + 5*h + 2 = 0, -9 + 10 = w + h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/113 < -0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37618619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(-2*sqrt(44) + sqrt(11)))**2*-6.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*u - 25 - 1 = 0, u = -2*b. Let n = -88671 - -88675. What is the remainder when n is divided by (-6)\/b + 0 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, b: 1, r: 2, x: 1, d: 1, m: 1}. Give prob of sequence xbfd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 693840 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b + 19. Let v(i) = -i - 4. Let h(n) = -2*a(n) - 11*v(n). Give h(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*r**2 + 2 - 2 + 143*r**2.\nAnswer: 178*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2 + (2 + 0 - 1)*(3 - 1 - 4))*(3*f**2 + 3*f**2 + 23*f**2).\nAnswer: -116*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1328\/1005 + 4\/335. Factor -x*z**2 - 2\/3*z - 2\/3*z**3 + 0.\nAnswer: -2*z*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1200)\/10)\/(-10) - 14. Suppose 0 = 3*u - 3*c, 0*u = 4*u + 3*c + 35. Sort p, -1, u in descending order.\nAnswer: -1, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -22 - 5 - 29.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nen?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56797.62 years in months?\nAnswer: 681571.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uucvuvxuqffuucuq. What is prob of sequence cfu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 19 (b) -35 (c) 111 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14.21 and 26.\nAnswer: 40.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1008, -1037, -1072, -1119, -1184, -1273, -1392, -1547?\n\"Answer: -n**3 + 3*n**2 - 31*n - 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 7*q = -198. Suppose -36 - 104 = -5*z. Suppose 5*t = t + z. Calculate the least common multiple of q and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o)**(3\/5) assuming o is positive.\nAnswer: o**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 - q + 8*q**2 + 0*q**3 - 10*q**2 - q**3 to t*q**2 + y*q**3 + h + w*q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -11126?\nAnswer: 11113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/9, 68, -29, 10\/3, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -12*q**3 + 7*q**2 + 31*q - 2. Let j(x) = 36*x**3 - 22*x**2 - 95*x + 7. What is 19*d(y) + 6*j(y)?\nAnswer: -12*y**3 + y**2 + 19*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*y**2 + y**3 + 2*y**3 - 7*y**3 - 12*y - 13*y**2 - 2 + 3*y**3 in the form z*y**3 + j*y + b*y**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791330 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 + (-3024)\/40. Let y = b + 78. Solve -6*i - y = -5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-27))\/((-20)\/(-60))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*x - 2*x**2 - 688*x + 351*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 - 158. Let m(q) = 13*q + 109. What is m(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1095*d + 2216*d - 1104*d)*(0 + 0 + 2)*(-3*d - d + 3*d).\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1414 - 1568. Let b be ((-2)\/16)\/(((-245)\/v)\/(-35)). Solve -7\/12*x**4 - 3\/4*x**3 - 11\/12*x - 1\/2 + b*x**2 = 0 for x.\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3558411 and 6561.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -0.1, -0.04, 0.02, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 166*i**2 - 3*i - 95. What is the tens digit of g(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000233697738 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, b: 2, u: 3, n: 1, c: 1, o: 1}. What is prob of sequence nubc?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by -1744.\nAnswer: -51\/872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 85918042 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*v = -57, -45 = 2*f - 0*v - 5*v. Let q = -2 - f. What is the remainder when 0 + 1\/((-1)\/(-37)) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17666?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.88 rounded to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 1 + 19 - -39 - 29.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12605030, 25210079, 37815128, 50420177, 63025226, 75630275?\n\"Answer: 12605049*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36840 - 36*l + 4*l - 36842 + (3 - 3 - 2)*(3*l - l + 0*l) + 5 - 20*l - 5 to the form p + v*l and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from fjljjljljlllllfljljl.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -20, 29 = 3514*u - 3515*u - 5*m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 52. Put s, -0.1, 6 in increasing order.\nAnswer: -0.1, 6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46*d**2*f*v - d**2*f - 40*d**2*v - 2*d**2 - d*f - 327*f*v + 2*v - 678 wrt f?\nAnswer: 46*d**2*v - d**2 - d - 327*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 351*f + 7724. Let k be h(-22). Solve -2*v = -4*c + 22, 3*c = -k*v - 2 + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 6*u - 6. Let t be s(-5). Let a be (-1 + 0 + 2)*2. Let h(d) = d - 5 + 3*d**a + 4 + 2. Calculate h(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2. Suppose 85 = -7*r + 64. Let v(d) be the first derivative of d**4 - 3*d**3 + 16*d - 7. Let p(j) = r*h(j) + v(j). Factor p(f).\nAnswer: 4*(f - 2)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f**3*l**5 - 7*f**3*l**2 + 3*f**3*l + 3*f**3 + 2*l wrt l?\nAnswer: -140*f**3*l**3 - 14*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 8)\/((-12)\/9 + 1). Calculate the greatest common divisor of 126 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 560340 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l. Let x = 0 + 1. Let k be r(x). Solve k*o = 2*c - 5*c - 10, 5*o + 10 = -5*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/10 + (-4)\/(-10). Let i = -2 + 1. Sort k, i, -3.\nAnswer: -3, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 9dc6b7?\nAnswer: 9dc6b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 2 = 16. Suppose d*u + 7200 = -5*v + 7*u, -7200 = 5*v - 3*u. What is v rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100572405 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91679774 rounded to the nearest one million?\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-4)*2 + 1. Let i = -1 - g. Suppose -i*w = -0*w + 5. Sort w, 4, -2 in increasing order.\nAnswer: -2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/26625? (a) 7 (b) 0.03 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 396 - 395. Let w = 15 + -10. Which is the second biggest value? (a) w (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37341835, -74683670, -112025505, -149367340, -186709175, -224051010?\nAnswer: -261392845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 166721, 333407, 500065, 666695, 833297, 999871, 1166417?\n\"Answer: -14*y**2 + 166728*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61955.7561 rounded to the nearest 10?\nAnswer: -61960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/2 + (5 - -3) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/81 (c) 0.69 (d) -4 (e) 4 (f) -2 (g) 38\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.953518t?\nAnswer: 3953518000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*s - 2. Let u(a) = 28*a**2 + 7*a - 3. Let r(o) = -27*o**2 - 6*o + 2. Let m(z) = -4*r(z) - 3*u(z). Is m(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = 0, 0 = -f - 2*k + 112 + 45. What is the remainder when f is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2970 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -32b2a?\nAnswer: 32b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46260 - 32213. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10*(100\/(-12))\/5. What is the closest to x in -0.2, -2\/9, 17, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -739564, -738983, -738400, -737815?\nAnswer: -737228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 2*y + 28, -4*l = 5*y - 311 + 315 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36153*i**2 - 16531*i.\nAnswer: 72306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23.3, 0.3, -4, 0.17, -369\/11 in ascending order.\nAnswer: -369\/11, -23.3, -4, 0.17, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 61, 229, 557, 1099, 1909, 3041?\n\"Answer: 9*f**3 - f**2 + 2*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 1. Let u be n(1). Let c(o) = -2*o + 6*o + 0*o - u - 5*o. Give c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55 - 677.\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 17, r: 3}. Give prob of sequence rqrq.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -777489*p**3 - 1077549*p**2.\nAnswer: -4664934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/33, 0.39 in ascending order.\nAnswer: -1\/33, 0.39, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 2*a. Let b be h(8). Suppose 4*p = -3*z + 21 + 15, -4*p = -4*z + b. Let f = -145 - -205. Calculate the greatest common factor of f and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 19*m**2 - 12*m + 13. Let y be d(1). What is the second derivative of -2*c + c - 24*c**3 + 37*c**2 - y - 39*c**2 wrt c?\nAnswer: -144*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5272 - 5271.75915. Let i = -1.64 + 1.4. Let r = w + i. Round r to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*i - 4 + 1 = 0, -m - 3*i = -10. Are -2\/9 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-5))\/(180\/(-90)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2542\/468999)\/((-1)\/((-180)\/4))?\nAnswer: 10\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - w + 1 = -4*v, 5*v + 2*w = -16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4793 - 1.7259. Let z = 2.25 + n. Round z to 3 decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68662?\nAnswer: 2, 11, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*l**2 - 1 - 65*l**2 - 86*l**2 - 79*l**2.\nAnswer: -24*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 8:11 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.33 and -33208?\nAnswer: -10958.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 302073833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/6)\/(63\/(-54)). Solve 4*s - d*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (624\/(-936))\/((-16)\/9)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 1.1. Suppose 2*v - 13 = -3*l + 2, 0 = 5*l - 2*v - 25. Let r be (-80)\/75 + 2\/l. Sort r, 3, h in descending order.\nAnswer: 3, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 24 - 9. Let g(o) = -2*o**3 - 12*o**2 - 7*o + 11. Let k be g(y). List the prime factors of k\/8 - ((-59)\/2 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + (sqrt(102) - -2*sqrt(102)*-5 - sqrt(102)))\/sqrt(6) + (1*sqrt(17) + 4)*2)*5)**2.\nAnswer: -2800*sqrt(17) + 22425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 + -112. Let b(o) = -10*o**2 + 5*o**2 + 6*o**n. Let q(c) = -32*c + 26*c - 12*c. What is b(q(t))?\nAnswer: 324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232191 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032343 rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Suppose -r - o = -22. Let c = r + 87. What is the highest common factor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23375310?\nAnswer: 2, 3, 5, 7, 79, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 16 - (0 - -8)) + 0 + -9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzzkzkzk. What is prob of sequence kzz?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 - (3 + (4 - 5)) - (21 + 14 + -39)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0*g + 1\/60*g**5 - 1\/6*g**3 - 1\/24*g**4 - 3*g**2 + 1\/120*g**6 + 0. Find u such that h(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14 - 14)\/(-3 - -1). Suppose d = 5*c + 1 - 101. Calculate the greatest common factor of c and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:06 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*z + 53*z + 539. Let g(u) = 6*u + 3. Give g(z).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -39, -57, -79, -105, -135, -169?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 148793726, 148793735, 148793758, 148793801, 148793870, 148793971, 148794110?\n\"Answer: m**3 + m**2 - m + 148793725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.26? (a) -1.6 (b) -5 (c) 0 (d) 3 (e) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -23. Let p(t) = 250*t - 1736. Calculate the remainder when p(7) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/413 and 47\/2183.\nAnswer: 15281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -48, -50, -52, -54, -56?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 11400823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (19\/4)\/((-2)\/(-8)). Let d(m) = -4*m + 11*m + o*m. Let c(h) be the first derivative of 2*h**3\/3 + 8105. Determine d(c(y)).\nAnswer: 52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j. Let l(c) = 2*c + 2. Let a be l(-8). Let n = a + 16. Suppose 7 = -n*x + 3. Let q(t) = -t. Determine x*r(y) + 5*q(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 20*o**3 - 2*o**2 + o. Let l be j(1). Suppose 0 = 2*v + 3 - l. Solve -b + 3 - v = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1. Let d(q) be the first derivative of -4*q**3\/3 + 20*q + 30. Determine d(t) + 20*f(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 14 = -3*i + 4*w, -3*i - 4*w + 25 = 0. What is the smallest common multiple of i and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/27972540 and 14\/2511.\nAnswer: 27972540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 60\/28*168\/144 + (-26)\/8\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from kokkg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -91. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c + 18 + 1\/3*c**3 - 1\/4*c**4 + 1\/2*c**2. Let s(k) = -k**3 + 3*k**2 + k. What is s(w) - 3*y(w)?\nAnswer: 2*w**3 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -3. Let d be (680\/(-51))\/((-2)\/12). Calculate the highest common factor of c and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77600 - -154942. What are the prime factors of u?\nAnswer: 2, 38671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2286159 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*j + 12, 4*w - 2*j + 10 = -0*w. Let m(i) = -58*i - 4. Let h be m(w). Suppose 15*z - 13*z = h. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297522500?\nAnswer: 2, 5, 11, 31, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8638300 is divided by 196324?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -49 and 133.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 24480727\nAnswer: 24480727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4976569*d**4*l**2 - 2*d**4 - 3*l**2 - 2*l + 4923621 wrt d.\nAnswer: -19906276*d**3*l**2 - 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -134*a**3 - 3*a**2 + 6. Let h be 4 - (7*1 - (15 - 14)). What are the prime factors of m(h)?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186 - 557\/3. Which is the second smallest value? (a) 5 (b) 4 (c) -2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3548746 is divided by 3486.\nAnswer: 3484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/1064 (b) -0.052 (c) -8\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -3*x + 2, 3*x - 20 = -3*z + 7*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 9:53 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 403\/227 bigger than -0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**6\/180 - 2*a**5\/15 - 85*a**4\/72 - 25*a**3\/6 + 230*a. Suppose j(w) = 0. What is w?\nAnswer: -6, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 3:54 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 2*w + 4*w)*(1 + 2*w - 1) + ((-3*w + 3*w - 2*w)*(2*w - 1 + 1) + w**2 + 2*w**2 - 2*w**2)*(-3 + 4 + 1).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -0.3, 2\/49, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 12.41, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426, -412, -394, -378, -370, -376?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20212200023 (base 4) in base 2?\nAnswer: 1000100110100000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 + -15 + 21 + -31 - (5 - 9 - -3)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223025 is divided by 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6424281 millilitres in litres?\nAnswer: 0.0006424281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 66*g - 13. Determine k(-14).\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m**3*t**2 + 3*m**3 - 13614*m**2*t - m**2 - 2*t**4 - 2815 wrt t?\nAnswer: 6*m**3*t - 13614*m**2 - 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 44 times 1459\nAnswer: 64196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtw when three letters picked without replacement from kwotowwwwo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2368\/(-444)*((-189)\/49 + 3) - 5.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-5) + (-891)\/(-45). Is 18 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*b + 36 = -0*w, 2*w = -b + 51. Let z = 19 - 16. Calculate the remainder when w is divided by ((z - 0)*-3)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/10)\/(-2*(-4)\/280). List the prime factors of -1 - s\/(-6)*-3.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40936343102 and 100.\nAnswer: 40936343202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800) - (sqrt(1800) + (sqrt(1800) - (sqrt(1800) - (sqrt(1800)*-1 - sqrt(1800))*-6))))\/(-5*sqrt(600)*1).\nAnswer: 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 19, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70379*x**3 + 138308*x**3 - 67926*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Let j(o) = 11*o**2 + 21*o**2 + 17*o**2 + 15*o**2 - 400*o - 63*o**2. Give k(j(a)).\nAnswer: 2*a**2 - 800*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -b98176 (base 13) in base 9?\nAnswer: -8173520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031 + 3322?\nAnswer: 11013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k + 3*k + 3 + 5*k**2 - 14*k. Let w be u(5). Suppose 0 = -2*j - 5*v + w, 3*j - 4*v - 112 = j. Calculate the highest common divisor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 6500511?\nAnswer: -6500506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 q, and 1 h when three letters picked without replacement from {w: 2, q: 1, h: 2, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/(-60))\/(2\/16) + 708. Let c = 784 - b. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15599821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 372732211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)\/k**0)**(22\/7)*(((k*k**2)\/k*k*k)\/((k\/(k**(-3)*k))\/k))\/(k**(-1)*k)**(-28) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from gvgiiovvvvggiiigvig.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((6 - 4)\/(-2)). Factor 0 + j*b - 2\/5*b**2 - 1\/5*b**3.\nAnswer: -b**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 7*s + 123. Let g be f(12). Suppose -22 = -3*o + 2*o. Let t = o + -15. Calculate the greatest common factor of t and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u + 2. Suppose 6*a + 11 = 5. Determine w(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936235506?\nAnswer: 2, 3, 156039251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12033441612 - -19.8\nAnswer: -12033441592.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.0983 to 2 decimal places.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635849050?\nAnswer: 2, 5, 12716981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**2 + 0 + 8*y - 1\/6*y**3. Let q(k) = k + 1. Calculate -p(g) - 2*q(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + 8 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 24*w**2 + 454*w - 1798. What is o(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13608 + -20?\nAnswer: 13598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 143*f**6\/30 + 4*f**2 + 144*f. Differentiate o(p) wrt p.\nAnswer: 572*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 36 = -7*m. Solve 0 = -4*r - 5*p + m, r - 6 = -3*r - 2*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.2, 0.4, 0.118, 0, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 143.15 to the nearest integer.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l - 3. Let x(h) = -h - 1. Give b(t) - 4*x(t).\nAnswer: -5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -0.095.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 divided by -67?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60589061 to the nearest integer?\nAnswer: 7784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119 - -248. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168*p - 6 + 6*p**3 + 81*p + 87*p + p**2 to m + l*p**2 + t*p + c*p**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 5*o**2 - 7. Let n be y(4). Suppose 0 = 2*f + 5*d + 19, n*f + 5*d + 40 = 14*f. Solve 5*a + 2 = -f*r, 0 = -3*r - r - 4*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 10:16 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 44993?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 752*b**2. Let w(g) = 13*g. Calculate w(x(y)).\nAnswer: 9776*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2 - 2*u**2 - 11 - 3 - 3*u**2 - 12*u. Let v be p(-10). Suppose -v = 3*j, 4*j - 412 = -4*m - m. What is the highest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(99)*-1*-4)\/((sqrt(9) - (sqrt(9) + sqrt(144) + sqrt(9)))*4))**2 - ((sqrt(275)*2)**2 + sqrt(275))*-1*2).\nAnswer: -165033\/25 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2555.949cm?\nAnswer: 25559.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8000.18 + 8000. Let b = -4 - -3.4. Let q = b + 1. What is the third biggest value in 0, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, i: 6}. What is prob of sequence ii?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 10*l - 5. Let q(g) = g**2 - 17*g + 65. Let x be q(12). Let f(a) = -1. Give x*f(d) - c(d).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -4 + 61 + -60.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 1. Let q(n) = -6*n**2 + 12*n - 2. Let w(k) = q(k) + 2*s(k). Let w(r) = 0. Calculate r.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/108629 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -1905?\nAnswer: -1905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 740*i - 343*i + 158 - 388*i. Calculate v(-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 26 = p - w, -4*p - 2*w = -7*p - 53 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7911, -15818, -23725, -31632?\n\"Answer: -7907*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*y**5 - 173*y wrt y.\nAnswer: -1520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-584)\/84 + 7)\/(2\/(-6))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119740 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3023 (base 8) in base 14?\nAnswer: -7d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(-3)\/w)\/w)\/(w**(1\/4)\/w))\/((w*w**(-3\/5)*w)\/w**(-3\/2)))\/((w**(-3)\/w**(-3))\/(w**(-3\/5)\/((w\/(w**(-2\/13)*w))\/w))) assuming w is positive.\nAnswer: w**(-307\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 7:58 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41508878?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -255*l. Let y(j) = 3*j**2 + 327*j. Calculate a(y(r)).\nAnswer: -765*r**2 - 83385*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.21 + -0.09. What is the closest to 1 in 2\/9, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 755 - 759. Let c = -0.09 + -1.91. What is the fourth smallest value in 2\/7, c, 0, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8658557\/104 - 83256. Find the common denominator of r and -53\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/5 - 389*s**2\/5 + 78*s = 0.\nAnswer: -390, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most as big as 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*w = 60, -3*w = -4*w. Let l(f) = -f**3 + 11*f**2 + 15*f - 26. Give l(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m + 10*m + 83 - 67 as a*m + s and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 2. Let f(z) = -7*z - 15. Let a(x) = f(x) + 5*v(x). What is a(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h - 42. Give y(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - 2.8. Which is the closest to -2\/7? (a) 3 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n + 8. Let q be (4 - (6 - 4)) + 8. List the prime factors of w(q).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2. Let g be 8\/6*(-6)\/(-4). Suppose 13 = k - 5*d, -4*k + 4 = 3*d + d. Let p(h) = 3*h - g*h - k*h. Calculate z(p(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 a when three letters picked without replacement from uuuuuauauauuuu.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -j + i, 2*j - j + 11 = 5*i. Let n = 38 - 55. Let b = -10 - n. Calculate the smallest common multiple of b and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3564 and 0.081.\nAnswer: -288.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/75*144\/(-112)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*b = -25*b - 228 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -39. Let o = 8840 - 8839.8. Which is the second biggest value? (a) -2\/11 (b) j (c) 3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 829713906 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(3520) + -1*sqrt(3520)) + 3*(sqrt(3520) + sqrt(3520) + sqrt(3520)*-1) + sqrt(3520))\/((sqrt(180)*-5)\/(sqrt(576)*-1)))**2.\nAnswer: 180224\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1352 (b) 0.1 (c) 96 (d) -1\/5 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1959*v + 7*v**2 - 1959*v.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 836 - 672. Let x = 283 + -279. Calculate the highest common factor of x and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -112 - 200.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 78?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-116)\/(-14) + 132\/(-462). Solve 0 = n*p + 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 11*j**2 - 2*j + 7. Let x(f) = 2*f**2 + f. Let d(v) = -o(v) + 6*x(v). Let i(n) = -n**2 + 2*n + 8. Let z be i(5). Let l = -1 + z. Calculate d(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 2\/13, 20116, 0.1, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64777 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -13. Suppose -h - 4*w + s = 0, h - 5*w - 185 = -4*h. Let u be 7*(4 + -1 + -2). What is the greatest common factor of h and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2210\/(-4046) - (-6)\/14. What is the second smallest value in -0.03, h, 1\/35, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, 65, 210, 407?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -460.1*-2.\nAnswer: 920.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*d = 1254 - 10628 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16461*q**3 + 32919*q**3 - 16456*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 1:02 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + -0.02. Sort -2\/5, 0.03, w, -3 in ascending order.\nAnswer: -3, -2\/5, w, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 634 + -1871\/3. Let a(i) = 6*i + 20. Let z be a(-19). Calculate the common denominator of x and (z + -3)\/((-6)\/(5\/(-5))).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 0*f + 6*f**2 + 1 + 15749*f**3 - 15688*f**3 - 15*f**2 as d*f + r + x*f**2 + h*f**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.32, 0.108, 2\/15, 0.125?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/5))**(2\/9)\/((v\/v**(3\/2))\/(v*v*v*v**(2\/9))))**(2\/73))**33 assuming v is positive.\nAnswer: v**(3773\/1095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**5 - 15770*h**4 - 234465*h**3 + 3010640*h**2 - 8787280*h + 6026880 = 0?\nAnswer: -3139, -24, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6831081 millimeters in micrometers?\nAnswer: 683.1081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3870385 and 7585?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 20 = -q, -13774*y + 68 = -13775*y + 4*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100022332 - 103122?\nAnswer: 33313210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -0.1 (b) -0.5 (c) -4 (d) 0 (e) -292\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (126\/(-7))\/(-2)*6\/9. Suppose 30 = 2*g - 8*g. Put 4, -2, a, g in ascending order.\nAnswer: g, -2, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, b: 2, w: 1, z: 1, u: 2, f: 2}. Give prob of sequence ffcu.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 15*l**2 + 11*l + 8. Calculate a(-14).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*66\/55.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17b549 (base 13) to base 15.\nAnswer: -bba2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-9))**(1\/35)*h**(2\/3)\/h*h*(h**(1\/2)\/h)\/h*h assuming h is positive.\nAnswer: h**(-13\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/4)\/(-5))\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -23*a. Let o(q) = -36*q**2 + 129*q**2 - 34*q**2 - 34*q**2 - 33*q**2. Calculate v(o(z)).\nAnswer: 184*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6735 - -6735.03. What is the third biggest value in n, -3\/8, 22?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-5))\/((-4)\/(-60)*6). Suppose -2*l + 0*l = -5*r - 133, t*l = 2*r + 124. Suppose 0 = 2*q - 31 - l. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 19 - 24. Is p <= -1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -0.2 (c) -1\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 4, e: 4, q: 8}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*o + 91*v - 92*v + 69, -3*v + 55 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*k + 5 - 90. Put 5, k, -1, -3 in decreasing order.\nAnswer: 5, -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - p - 3 = -2*p, 3*g + 2*p = 9. Solve -g*u + 9 = -0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3507257 (base 9) to base 10.\nAnswer: 1894885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -145*f - 2. Let h(y) be the second derivative of -2*y**3\/3 - 1914*y. Give h(d(b)).\nAnswer: 580*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 35740*w + 71464.\nAnswer: 4*(w + 2)*(w + 8933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 24 = -s, i - 2*i - 5*s = -24. Let l(q) = 4*q**3 + 4*q**2 - 5. Let o(c) = 3*c**3 + 3*c**2 - 5. Let b(d) = i*l(d) - 5*o(d). Give b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t - 5. Let v(a) = -a + 1. Let q(p) = -m(p) - 5*v(p). Let i(r) be the second derivative of -r**3\/3 + 5*r. Calculate i(q(x)).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8818, 17631, 26440, 35245?\nAnswer: 44046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*u - 5 + 55*u + 42*u + 0 + 4.\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by 443.\nAnswer: 196\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -9\/7*v**2 + 3\/7*v**4 - 6\/7*v**3 + 12\/7*v + 12\/7 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**(-3\/26)\/(h**(-2))**(2\/117) assuming h is positive.\nAnswer: h**(-23\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k + 1. Let q(f) = -f**3 + 14*f**2 + 8. Let a be q(14). Let c be 12\/(-32)*a\/(-6)*2. Determine n(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/36*6*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -43. Let f = 0.01386 + -0.01386. What is the nearest to d in f, 5, -7, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*q**2 + 93*q**2 - 33*q**2 - 2*q.\nAnswer: -89*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 24*b + 87 = 19*b, -5*y + 39 = 2*b for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 959 + -958. Calculate the lowest common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 122194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2. Let q be (-21)\/6 - 1\/(-2). Let o be 2 - (q\/(-3))\/(-1). Let z(r) = -2 + o - 2*r - 1. Determine l(z(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.11 + 2.15. Let g be -3 + (2 - 1)*-1. Which is the biggest value? (a) -5 (b) 0 (c) z (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-8)*(46 + 5247\/(-106)) + -10?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -22*s + 156. Let n(b) be the third derivative of -1\/90*b**5 + 0 + 0*b - 1\/360*b**6 + 1\/18*b**4 + 4\/9*b**s + 14*b**2. Factor n(a).\nAnswer: -(a - 2)*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2440 (base 5) to base 11.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3 - 2 + 4. Let p(o) = -o**2 + 5. Let k = -6056 + 6060. Determine k*w(l) + p(l).\nAnswer: -l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 58 - 10. Let v = 1 - a. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + 198038*v**2 - 99020*v**2 - 99020*v**2 + 72*v**4 in the form d + u*v**2 + j*v**4 + r*v**3 + w*v and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*s*v**3 - s*v**2 + 14*s + 4224*v**4 + 839*v wrt v.\nAnswer: -54*s + 101376*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40111 + 40111 - d + 3*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 2*t**2 - t - 153. Determine v(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.1501 litres in millilitres?\nAnswer: 250150.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 4*o**2 + 3*o + 4. Suppose -6 = 2*t - 0*t. Let c be k(t). Suppose 2*d = -c, -d + 6*d - 32 = -2*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6452, -24339, -53646, -94379, -146544, -210147?\nAnswer: -285194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10087\/(-165) + 61)\/6?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -90299 times 0.108\nAnswer: -9752.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8261 + 2717 = 22*r. Calculate the remainder when r is divided by (1 + 20)\/((-39)\/(-78)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 4*b**2 - 9*b - 31. Let u be o(-4). Let h(j) = -3*j - 6. Let q(y) = 3*y + 5. What is u*h(t) + 6*q(t)?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 + 101 = 9*h. Calculate the remainder when h is divided by 26\/(-3)*9\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17102833 a multiple of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(1872)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344 + 380 - 180\/(-15).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 47810?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c**3 + 3*c**2 - 21*c + 74. Let p(n) = 5*n**3 + n**2 - 9*n + 36. What is -7*p(o) + 3*z(o)?\nAnswer: -5*o**3 + 2*o**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*l**4*u*y**3 - 1955*l*u*y + 2*u*y**3 + 9929*u*y - y**3 wrt l?\nAnswer: -100*l**3*u*y**3 - 1955*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i**4 - 880*i**3 - 8095*i**2 - 12105*i + 21060 = 0. Calculate i.\nAnswer: -9\/2, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101111101 + -111101?\nAnswer: 100101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - -2*sqrt(6048))\/(sqrt(486) + sqrt(486)*-1 - sqrt(6)) - 4*(2*sqrt(7) + 1 + -5).\nAnswer: -33*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -839100, -839107, -839114, -839121, -839128?\nAnswer: -839135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/1*(1 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -1 (b) -5 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14370.048 milliseconds in days?\nAnswer: 0.00016632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(45) + (sqrt(1125) - (sqrt(1125) - -2*sqrt(1125)))))\/((-2*sqrt(324) - sqrt(324)) + (sqrt(9)*2*-2 - sqrt(9))).\nAnswer: -54*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 9:37 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*m**2 - m**3 - 7*m**2 + 129*m**2 - 12*m**2 - 20*m**4 - 98*m**2 - 19*m as b*m**2 + w*m**4 + u + d*m**3 + v*m and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5290 by 752.\nAnswer: 2645\/376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 - 62*i + 62*i - 114.\nAnswer: -7*i**3 - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9422 = 30*z - 274678. What are the prime factors of z?\nAnswer: 2, 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 9*c + 210 = -4*z, -3*c - 2*z + 192 = 0. Let k = -61 + c. Solve k*i + 0 = 5*r - 20, -4*r - 9 = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/2*m**4 + 20*m**2 + 8 + 1\/4*m**5 + 20*m + 10*m**3 = 0. Calculate m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.319 + -0.081. What is the biggest value in -1, c, -47, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 444 - 419. What is the derivative of 177 + 73 - b*r - 53 + 188*r wrt r?\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 15*d + 472. Let o be l(-32). Put o, 0, -3 in ascending order.\nAnswer: o, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 14) to base 10.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4756, 4776, 4808, 4852, 4908?\n\"Answer: 6*x**2 + 2*x + 4748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19355288 and 242056.\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4\/5 - 193992*l**3\/5 - 2351667988*l**2\/5 + 9408999984*l\/5 - 9409776016\/5.\nAnswer: -4*(l - 2)**2*(l + 24251)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/3 - 17*w**3\/3 + w**2 - 40*w. Find the second derivative of q(v) wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-4\/5)*v)\/((v**(-1\/2)\/v)\/v))**(8\/3)*(v**(-3)*v**6\/v)\/(v**(-2\/9)\/v**5) assuming v is positive.\nAnswer: v**(961\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Suppose -d - 15 = -y*d, -d = 5*u - 40. Let z(v) = -8*v + 8*v + u*v**2 + 3*v**2. Let m(n) = 2*n. Give z(m(x)).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 21) + -3 + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -16 + 5*o + 0*o - 6*o. Let b be m(-12). Is -7 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + g**3 - 2*g**2 + (2*g**2 + 2*g**3 - 2*g**2)*(2 - 4 + 1) + 3*g**3 - 3*g**3 - 2*g**3 - 1545*g**3 - 800*g**3 - 3607*g**3 - g - 4*g - 2*g**3 + 2*g.\nAnswer: -5957*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 81*x**2 - 15*x - 25. Suppose 14*g + 18 = 5*g. What is the tens digit of n(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/845 and 107\/53227330.\nAnswer: 691955290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b + 90. Suppose b = t + 2*t. Find the common denominator of (126\/16)\/(t\/(-8)) and -13\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 (base 4) to base 7\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y = -28 - 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37665 and 486.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -53, -124, -193, -260, -325, -388, -449?\n\"Answer: r**2 - 74*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 0.2, 3\/7, 587, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 2*p**2 - 6. Calculate a(4).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -14*z**2 + 1579*z + 387. Calculate q(113).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 262\/3 + -87. Let i(b) be the second derivative of t*b**3 + 1\/21*b**7 + 0*b**4 - 1\/5*b**5 + 2*b + 0*b**2 + 0*b**6 + 0. Factor i(k).\nAnswer: 2*k*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1136*i**4 - 5*i**2 + 5*i - 2756. Let j(x) = 568*x**4 - 2*x**2 + 2*x - 1379. Let g(u) = 5*j(u) - 2*n(u). Differentiate g(r) wrt r.\nAnswer: 2272*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 40*d - 725. Let x be i(0). Let j = x + 1419. What are the prime factors of j?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:55 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:51 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 30. Solve -3*y - y = -3*d - 3, -4*y - w = 4*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*9162\nAnswer: -27486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-1)\/3*(-39210*(-7)\/7630 + -36)\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 + 50\/(-42). Let p = 803\/296 + -105\/37. Which is the second biggest value? (a) p (b) 5\/2 (c) s (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -899*s + 20. Let i(q) = -293*q + 7. Calculate -17*i(v) + 6*u(v).\nAnswer: -413*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 508477 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*z - 2*z + 4*z)*(-2*z**2 + z**2 + 3*z**2).\nAnswer: -4*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + 56 - 59 - 4*d**3 - d to o*d**2 + s*d**3 + p*d + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -14. Suppose 7*r + h*n = 2*r + 53, -4*r = -2*n - 28. Let a = r + -7. What is the highest common divisor of a and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10073.832 + 10117. Round u to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2, -2*v = 3*d - 131 - 73. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**7\/2520 + i**6\/720 - i**5\/30 - 3*i**2. Let y(f) be the third derivative of m(f). Differentiate y(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 349992?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1359, 1315, 1229, 1089, 883?\n\"Answer: -2*v**3 - 9*v**2 - 3*v + 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrq when three letters picked without replacement from {q: 5, h: 2, x: 5, r: 5, a: 1}?\nAnswer: 25\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(14\/7)*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17*d**2 + 9. Let r(p) = 4*p**2 + 2. Let w(n) = 4*b(n) - 18*r(n). Let v(u) = u + 3*u - 7*u. Calculate v(w(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30758 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(3\/7)\/o)\/o*o)\/(o\/(o*(o**(-4\/7)*o)\/o*o*o)))\/((o\/(o\/(o*o**(1\/2)*o)))\/o**(-1\/7)) assuming o is positive.\nAnswer: o**(-25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(u + 6232*u**2 - 779*u**2 + 1581*u**2 + 46 - 46) in the form g*u + a + d*u**2 and give d.\nAnswer: 14068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010010100001001001 (base 2) in base 8?\nAnswer: -5224111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11 + 20)*(-2)\/(-6). Let z(w) = -18*w**3 + 2*w**2 + w. Let f be z(-1). Let u = -13 + f. Solve -3*j + 7*j + 2*v = 10, -i*j = 2*v - u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 5*d = 20. Suppose -517 = -45*v + 608. What is the lowest common multiple of d and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8278 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -46*o + 228. Solve -5*p = 2*n - 8 + o, n + 4*p = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*n**3*v + 8353*a**3*v - 12*a**2*n**3 - 7*a*n**3*v - 2*a*n**3 - 6*a*n**2*v - 2*a*n wrt a?\nAnswer: 12*n**3*v + 50118*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/8*368\/92?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -880.4816 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62620898, 62620902, 62620906, 62620910?\nAnswer: 62620914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*m - 79*m = 80*m - 756 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -152, -4 in descending order.\nAnswer: 7, 3, -4, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*((-8)\/12)\/2. Let x be (8 + -7)\/(2\/o). Which is smaller: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d - y - 82, -5*d - 72 = -4*y. Let t = -20 - d. Sort 3, t, 2 in ascending order.\nAnswer: t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300 - 280 - (26 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-216) + (-30028)\/(-72). Let d = w + -413. Put 1, -31.4, d, -2 in ascending order.\nAnswer: -31.4, -2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 + 529 = 4*i. Suppose s + c - 42 = -0*c, 3*s = 4*c + i. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seiisiihe. What is prob of picking 1 h and 1 s?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 15*t**2 + 26*t + 4. Let u be v(-13). Solve 0 = -i + 2*z - 3 + u, 5*z - 5 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 731299479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000100853 to six decimal places.\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 52*f + 43*f + 71 = 0. Sort -2, f, 3, 362, 5.\nAnswer: -2, f, 3, 5, 362","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 13. Let h = y - 68. Solve h*i = -3*i + v + 4, 5*v = -4*i - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.798 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1221)\/4 + (-46)\/(-184). Let x = 931\/3 + h. Factor 8*c**2 - 32\/3*c + 1\/3*c**4 + x - 8\/3*c**3.\nAnswer: (c - 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*m**2 - 213 + 36 + 154 as h*m**2 + s*m + b and give h.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 + 3. What is s(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 6*y + 2. Let o be n(-7). Let q = o - -7. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 + 117. Which is the closest to -1? (a) n (b) -0.3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o + 4. Suppose 0 = -0*i - 4*i + k + 16, -4*i + 16 = -5*k. Let s(w) = -6*w + 3. Calculate i*s(z) - 3*n(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*5\/(-35))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -178*z + 89 + 208 + 237 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:42 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-20)*10 + 46\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 93. Let j be (d\/12)\/((-1)\/(-40)). Suppose m - j = -6*m. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 832 + -508. Let x = l + -326. What is the closest to -1\/2 in x, -0.2, 3, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435456 divided by 5?\nAnswer: 435456\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q**2 + 2*q**2 + 2*q**2 + (-34*q**2 - 7 + 2*q + 14 - 9)*(1 - 1 + 5).\nAnswer: -158*q**2 + 10*q - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z + 75 - 27 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 314374*b*x**4 - 101790*b*x**2 - b wrt x.\nAnswer: 7544976*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 258\/(-54) + 5 + 50036\/18. Round s to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 98 in increasing order.\nAnswer: -1, 0, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*(sqrt(130) - -1*sqrt(130) - sqrt(130) - sqrt(130))*-6)\/(sqrt(30)\/(sqrt(3) - sqrt(6)\/(sqrt(6)\/sqrt(3) + sqrt(2)))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36a + 3?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 + -2 - (-19 + 15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.1. Let m = 47.7 + -45. Let x = 0.3 + m. Which is the smallest value? (a) 2\/15 (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 309*t - 2. Let d(g) = g + 77. Calculate d(c(q)).\nAnswer: 309*q + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/14 + 18\/7. Let d(u) be the first derivative of 7 + 11 + 4*u - 9*u + 1 + u**h. Calculate d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 1. Let t(i) = 8*i**2 - i - 12. Let b(a) = 0 + 6 - 3 - 2. Let k(v) = -6*b(v) - t(v). Suppose -5*m + 9 = -21. What is m*j(f) + k(f)?\nAnswer: -2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:26 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 2. Let m be t(0). Suppose 4*b - 16 = 0, -4*x - m*b + 64 = -b. Suppose 3*a - x = 0, c + 0*c - 3000005 = -a. Round c to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13182 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*p**2 - 14*p**3 + 8*p**3 + 4*p**3 - 1 - p**3 + 1 + (-2*p + 2*p + p)*(2*p**2 - 2*p + 2*p).\nAnswer: -p**3 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Let m be 3*((-4)\/(-3) + -2 + 3). What is the third derivative of 2*r**c - m - 7*r**5 + 7 wrt r?\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 + 9 + 5 - 2*z**2 - 8 + 0*z**2 + z**4 in the form c*z**2 + r + w*z + h*z**4 + v*z**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 = 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19636, -19687, -19738?\n\"Answer: -51*z - 19585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - 31043?\nAnswer: -31132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2985.2 and 69921.\nAnswer: 72906.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1596 and 53\/2128.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -238059089*v**5 + 477*v + 41942 wrt v.\nAnswer: -4761181780*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(245) - (3 + sqrt(245))) + 2 + -1 + sqrt(245) + 0))**2*-2.\nAnswer: -12450 + 1400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -117*p - 168. Let r(o) = -39*o - 59. Give -6*k(t) + 17*r(t).\nAnswer: 39*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1646 + 1646. Suppose 3*k - o = k + 2, -4*k = -4*o - 4. Which is the closest to -3? (a) k (b) 2\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 14*z + 20. Let b(h) = 365*h + 7. Let g(y) = -293*y - 7. Let l(n) = -4*b(n) - 5*g(n). Calculate 6*a(q) - 17*l(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 4*y, -4*i + 5*y + 6 = 0. Is (-937)\/(-5) - i\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989.7253 years to millennia.\nAnswer: 0.9897253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 18*t + 0*t + 13*t + 33 = 0, -39*x + 44*x + 10*t = 65 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*k**2 - 9 + 250*k**2 - 514*k**2.\nAnswer: -16*k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133003 is divided by 2892?\nAnswer: 2863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u - 29. Suppose 158 + 88 = -41*h. Calculate g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 613 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68939423*h**2*s**2 + 3*h*s**2 - 56*h*s - 3*h + 311*s**2 + 2 wrt h.\nAnswer: 137878846*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -5*sqrt(1377) + 4 - sqrt(1377)) + sqrt(1377) + sqrt(1377) - (-4 + -5*sqrt(1377) - sqrt(1377)) - (-5 + 2 + sqrt(1377) + -1 + -1)**2.\nAnswer: -1394 + 117*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 4427*y**2 + 21 + 41*y - 41*y - 4420*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5833972 and 96.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*p - 49*p - 54*p - 93*p to u*p + k and give u.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 587, 451, 87, -619, -1781, -3513, -5929, -9143?\n\"Answer: -19*c**3 - 3*c + 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -20111210021102?\nAnswer: 20111210021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 4 + 9 + -13.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 342199.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 2\/31 (b) -16\/37 (c) 0.2 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-5)*5\/20. Let d = 3.4 + -3. Let v = d + -0.1. Sort 0.7, v, j in descending order.\nAnswer: 0.7, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*g = -248 - 103 - 351 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28 - 313 + 5070*w - 5422*w with respect to w.\nAnswer: -352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 0*d + 2*d + 20*d**2 - 2 + 3. Is y(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*o - 51*o = 10. Suppose -o*d - w + 185 = 2*w, 5*w = -5*d + 195. What is the remainder when d is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*d = -2*o + 7, 0 = -3*o - 4*d + 24. Suppose -3*f - 12 = 0, -3*y - o*f - 20 = -7. Let r = -7 + 4. Put y, r, -4 in decreasing order.\nAnswer: y, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2 - 67*d + 1083. What is v(-18)?\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010101111 - 1011010011100100?\nAnswer: -1100010110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3536 + -9436. Round n to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 2200032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/6*16\/(-6). Let f = 11 + -8. Let m(x) = -6*x + 4 + f*x + 5*x. Determine m(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -8. Are m and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.3. Let m = -2.483 - -63.483. Sort m, -1, p in descending order.\nAnswer: m, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9888*p**2 - 2838*p**2 + 4229*p**2.\nAnswer: 11279*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1 (c) 5 (d) -4\/9 (e) 0 (f) -3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*p + 608 - 243 = 0. Let f(l) = -l**2 - l - 12. What is f(p)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1394.7? (a) 53 (b) 0.04 (c) -1\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8702 * 0.3.\nAnswer: 0.26106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(200)*2 + sqrt(200) - sqrt(200) - sqrt(200))**2 + sqrt(200) + 0 + sqrt(200) + -5)*1*-4*-3*-3.\nAnswer: -387720 - 4320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 774746 and 13874?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -21*q**2 + 40219*q + 201621. What is i(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16751402 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**3 + 1130 - 1130.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58463*p**3 + 95 - 608*p + 11*p**2 - 11*p**2 - 58466*p**3 wrt p.\nAnswer: -9*p**2 - 608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -1\/40*t**5 + 0 - 3*t + 1\/12*t**3 - 1\/4*t**2 + 1\/24*t**4. Factor f(x).\nAnswer: -(x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + k + 2)*(-1 + 1 - k**3) + 0*k**4 - 6*k**4 + 0*k**4 + (2*k - 3*k + 3*k)*(k**3 - k**3 - k**3) - 2 + 2 + k**4.\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 199\/970860 and 23\/15840.\nAnswer: 23300640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 29, 102, 249, 494, 861, 1374?\n\"Answer: 4*r**3 + r**2 - 8*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r - 6. Let f(l) = -47*l - 41. Let h(n) = 31*n + 27. Let a(q) = -5*f(q) - 8*h(q). What is 4*a(t) - 7*v(t)?\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1954832 and -63\/184.\nAnswer: 44961136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499\/2 - (-5)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eosessospesopssssoo. Give prob of sequence ep.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -0.2, -2, 424?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 1312443016947.\nAnswer: -1312443016946.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0235426858 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 461894 by 1471.\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 57444*y. Let i(u) = -15*u - 6. Determine c(i(z)).\nAnswer: -861660*z - 344664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5 = -2*h, 5*i + 48*h = 88*h - 44*h - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25518 is divided by 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -53041.47739 to the nearest one hundred.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40541415 and 15170?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**5\/60 - 4*s**4\/3 - 37*s**3\/6 + 57*s**2. Let y be n(-31). Which is greater: -13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7201, 2, -4, -2, -5.\nAnswer: -7201, -5, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 155\/(-10)*(-2 + 0). What is the highest common factor of a and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 100, 77, -34, -263, -640?\nAnswer: -1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 divided by -139?\nAnswer: 423\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**5\/12 + 15*b**4\/8 - 20*b**3\/3 - 15*b**2 + 49*b. Let q(j) be the first derivative of c(j). Factor q(w).\nAnswer: -5*(w - 8)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13304736?\nAnswer: 2, 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(180) - (-1 + sqrt(180))) - sqrt(180))*5)**2.\nAnswer: 1200*sqrt(5) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -68. Suppose -z*d - 1080 = -13*d. Suppose -s = -106 - d. What are the prime factors of s?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 356828 * -318\nAnswer: -113471304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(-10)*w)\/w)**(-2\/5)\/(w**(-6)*w**(-5)) assuming w is positive.\nAnswer: w**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(243)*-1 + 4)**2*4 + -3*(sqrt(243) + 1 + 2*sqrt(243) + sqrt(243))**2).\nAnswer: -63786 - 3024*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3591083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1441)\/(-11) + (-1 - 2). What is the highest common divisor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1863 is divided by 36\/(-45) + ((-36296)\/40)\/(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 43. Suppose 0 = 4*w + g*d - 513, 2*d = -2*w - 0*d + 256. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*q + 13*q + 9*q + 131*q**2 - 105*q**2 - 3*q as s*q + y*q**2 + z and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/2 + (-12)\/(-8). Suppose -y = -0*y - 7. Solve -3*d = -5*q - 6 - y, -t = q + d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60720 and 2622.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -390\/11 and -35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157\/596 - -2\/149. Let f = -0.1 + 5.1. What is the nearest to m in 3, 4, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**7\/70 + l**6\/20 - l**5\/20 - l**4\/4 + 17*l**2. Solve i(n) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-21) - (-40)\/(-7). Let n(y) = y**2 + 5*y - 6. Let q be n(o). Solve -2*d + 0 + 2 = q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16722835.\nAnswer: 5, 47, 71161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1*103\/42 - (5376\/(-196) - -27) and -50\/243?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 6 = 2*b + 5*h, -b - 2*h - 2 = 0. Suppose -76*t + 555 = 28*t + 139. Suppose f + 2*f - 9 = 0. Solve b*s + f*o = 5*o, t*s - o = -15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411581?\nAnswer: 67, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-90))\/(63\/(-27))*10\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 1:55 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (39 + 3)*6*(-4)\/(-18) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 1064 = -4114 - 62. What are the prime factors of s?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 44*f - 382. Let v(n) = -n**2 - 7*n - 4. Let l(p) = -r(p) + 3*v(p). Determine l(34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -2967.\nAnswer: -2967, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 + 31. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*(-2)\/14*-7. Let n(f) = 4*f**2 + f - 2. Let i(b) be the first derivative of 2*b**3 + b**2 - 3*b - 1. Give s*n(p) - 5*i(p).\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -4 - 6 - (4 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 601830976 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 4*u + 7. Let n be w(3). Suppose -1 = a + a - d, 4*a - n*d - 4 = 0. Let l be (-5)\/a - (0 + 2). What is the third smallest value in 2, l, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llrhl. Give prob of picking 1 r, 1 h, and 1 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 2. Let i be v(-4). Suppose -5*d + 21 = -4*s, -4*d - 2*s + 16 = -6*s. Let h(f) = f + 4*f + 3*f**i - d*f. Let k(z) = -2*z**2. Determine k(h(q)).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d + 272 = 0. Suppose -4*p + 4 = -d. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/16, -19, -2787, -7 in increasing order.\nAnswer: -2787, -19, -7, 5\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from kvkkvvukpvvvuuk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*3\/(-8) - 5232\/(-192). What is the derivative of 0*t - 82 - 24*t**2 - t - a + 0*t wrt t?\nAnswer: -48*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 99.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134077532?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*19\/(-380))\/(-2 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - b - 2*b - 2*b as l*b + f and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1442750 and 2308400.\nAnswer: 11542000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4004 divided by -5\nAnswer: -4004\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/5 + (-4)\/(-5). Let a(i) be the second derivative of 1\/12*i**4 + j + 3\/20*i**5 + 0*i**3 + 1\/15*i**6 - 4*i + 0*i**2. Find r such that a(r) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/3 + 170*s**3\/3 + 3188*s**2 + 174758*s\/3 - 184493\/3.\nAnswer: (s - 1)*(s + 53)*(s + 59)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58731945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -7. Let b = 1.2 - 1. Let d = -0.2 + b. Which is greater: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378980 - 18984 - 189440 = -76*u. Calculate the greatest common divisor of 59 and u.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -26748253931.\nAnswer: -26748253931.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 8*o**2 + 5*o + 7. Let k be y(-6). Suppose 0 = -2*i - k + 159. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 16*u**2 + 20*u - 77. What is y(-14)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 + 197 = 10*u. Suppose -u*t - 1906 = -34*t. Suppose 0 = -12*o + 2321 - t. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*j = 13, c - 2*c = 4*j - 8. Let d(h) = h**2 + 4*h. Let n be d(c). What is g in -1\/5*g + 4\/5*g**4 - 1\/5*g**5 - 6\/5*g**3 + 4\/5*g**2 + n = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from hhzehzhahshhhe?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000293449 to five decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 0*f + 2 - f**3 + 7. Let k = 6 - 6. Is 9 a factor of w(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 54*s**2 - 106*s + 10. What is the lowest common multiple of k(-25) and 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**4 + 272*j**3 - 1288*j**2 + 1776*j - 756 = 0.\nAnswer: 1, 3, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 16*w + 368 = j, 2*w + 46 = 25*j + 4*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -691, -1384, -2077, -2770?\nAnswer: -3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/2 (b) 0.1 (c) 1 (d) -181 (e) -6.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 11*j**3 + 7063872*j**2 - 7063872*j**2.\nAnswer: 11*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 17 = 4*z, 1 = 2*z - 3*k - 2*k. Suppose z*d = 11*d - 93. Calculate the remainder when 92 is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/26 - 4512\/(-78). Suppose 4*r - 16 = 0, -2*r + 7*r = -2*i + l. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -9) + (-2 - 0). Let c = 0.3112 - -1.6888. What is the nearest to 0 in c, 0.03, a?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/192)\/(279\/28 + (-280)\/28)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1)\/(-3) + 272\/(-96)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/51 in -4\/7, -0.5, 979, 4.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21023302201302 - 13?\nAnswer: -21023302201321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-13)\/b)\/b*b\/b**(2\/11)*b*(b\/(b\/b**17))\/b*(b*(b*(b**(-1\/17)\/b)\/b*b)\/b)\/b)**(-2\/33) assuming b is positive.\nAnswer: b**(-344\/2057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-8 + (3 - 0). Let a(v) = 12*v**2 + 5*v - 15. Let r(u) = -6*u**2 - 2*u + 7. Let h(m) = j*r(m) - 2*a(m). Differentiate h(o) with respect to o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/6)*s\/(s*s**(-1))*(s**(-1\/3))**20)**8 assuming s is positive.\nAnswer: s**(-116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2259 = -1621. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 70, 98, 126, 154?\n\"Answer: 28*o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.7 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -3, -4, -162, 2\/7, -8.\nAnswer: -162, -8, -4, -3, 2\/7, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429220880.\nAnswer: 2, 5, 11, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o**2 - 2*o - 1. Let s be r(-1). Suppose -s + 37 = 5*g. Suppose 0 = d - g*d + 8. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 438407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, e: 2, b: 1, u: 3, d: 2, i: 1}. What is prob of picking 2 e, 1 i, and 1 d?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 38*u - 74. Let a be k(-9). Is a at least -416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 - -201. What is the greatest common divisor of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 398 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -39 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243947690 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/4 - 3)*4\/8. Let d(l) = -l**2 - 2*l + 17. Let p be d(c). What is the third derivative of 12*b**6 + 0*b**2 + 8*b**6 - 13*b**p + 0*b**6 wrt b?\nAnswer: 2400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 561\/18 + -7 - (-6)\/(-20)*(-95)\/(-171).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1031, 2, 0 in decreasing order.\nAnswer: 2, 0, -1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 9 - (36 + -32).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**2 + 5. Let u(i) be the second derivative of -2*i**4\/3 - 3*i**2 - i. Let h(m) = 4*m + 39. Let o be h(-11). What is o*u(k) - 6*s(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 24*s + 31*s + 27*s - 110*s + 29*s. Let k(f) = -11*f**2. Give g(k(b)).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1615 - 560896.21.\nAnswer: -560896.3715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*z - 401926 + 401601. Let x(a) = a**2 - 42*a - 709. What is x(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + x + 60. Let p = x - -12. Sort 3, -2, p in decreasing order.\nAnswer: 3, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -139 (b) -2 (c) 2\/15 (d) -223 (e) 3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*v - 4*v + 5, 0 = -2*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-4 + (-20)\/(-4)). Sort d, -5, 2 in descending order.\nAnswer: 2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/5*2*(-4)\/144\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:21 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10277 - -18300. List the prime factors of i.\nAnswer: 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2433323113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/7, 18732, 9, -27?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k = -25*k - 36. Calculate the lowest common multiple of k and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*l - 1647 = -504*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1703889, 3407780, 5111671, 6815562, 8519453, 10223344?\nAnswer: 11927235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 129, 0.2, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 368102 and -12\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10032333 (base 4) to base 7\nAnswer: -101364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4693811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15255 - 17c?\nAnswer: -153d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:30 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*g + 19 = 0, -g + 33 = 2*o + 2*g. Suppose -2*z = -11 - o. What is the smallest common multiple of 22 and z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113224 (base 12) to base 8\nAnswer: -1031174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 10:17 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -58?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -22*k**3 - 2*k**2 - 2*k. Let n(p) = 43*p**3 + 5*p**2 + 5*p. Give 2*n(t) + 5*u(t).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4 + 14*y**3 + 37*y**2 - 74*y - 96 = 0.\nAnswer: -3, -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4796461*i*p - 5479326*i wrt p?\nAnswer: -4796461*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 2. Let t be f(4). Let z = -11 - t. Let r(v) = -v + 2*v**2 + 66*v**3 - 56*v**3 - 1 - 3*v**2. Give r(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114572159.\nAnswer: 13, 59, 149377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -269? (a) -2\/7 (b) 1 (c) -12\/11 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672607 divided by 1.\nAnswer: 672607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**2 - 17*i + 71. Let k(m) = -19*m**2 + 45*m - 212. What is -3*k(c) - 8*r(c)?\nAnswer: c**2 + c + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - x = -2, -3*y + 6*x = 3*x + 6. Which is the third smallest value? (a) y (b) 2\/11 (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-3))\/2*0. Suppose b + k + 4 = 0. Let w be (-6)\/8 - 2\/8. Sort w, -3, b.\nAnswer: b, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*j - 50*j - 61*j + 507*j.\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -10, 19 in increasing order.\nAnswer: -10, 0, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6730449.\nAnswer: 3, 11, 203953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {x: 3, f: 1, i: 1, p: 3, a: 2, b: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.2 (b) 2\/319 (c) 12 (d) 7\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 555306329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -35564313?\nAnswer: 35564310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -70230 rounded to the nearest one thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 14, 6, -20, -70, -150?\n\"Answer: -x**3 + 11*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -322221\nAnswer: 386665.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.537037 to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*p + 49 = 0, 3*d + 47 = 2*d - 3*p. Let r = -84 + 57. Let s = r - d. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = v - a, -252*a + 1 = -253*a for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*r = -2, 47 - 14 = 2*f + 5*r. Solve 0 = c - 0*c + f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-18)*(s*s**(-19))\/s assuming s is positive.\nAnswer: s**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 34*d**2 - 20*d**2 - 22*d**2 - 107 - 31*d**2.\nAnswer: -39*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-1))\/(117\/(-6))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Suppose -y*g + 3*u + 12 = -3, -11 = -5*g - 2*u. Suppose -g*i = -6*i + 36. What is the highest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from qgeqqgqqfqqgqqqqeqq?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**4 + 8*t**4 - 4*t**5)*(-7 + 1 + 4 + (1 + 2 - 2)*(1 - 5 + 2) - 3 + 2 - 1 + 4 - 2 - 1 + (-2 - 2 + 6)*(-3 - 2 + 6)).\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-198) - 390\/(-1755))*1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g**2 - 33*g**2 - 39*g**2)*(2*g - g + 5*g)*(1 - 1 - g) in the form t*g**4 + u + h*g**2 + b*g + y*g**3 and give t.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*r - 4*r + 17, -4*r + 4*g + 24 = 0. Let y = r + -5. Suppose 0 = -y*b + b + 15. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 501 and 371241.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21073170253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + 15. Let s = -31 + m. Let g = -5 - -8. Solve g*p + s*n - n = 15, -5*p = -3*n - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, p: 9, z: 2, y: 1}. Give prob of picking 1 p and 1 s.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -28 + 163 - (-6 + 2 - 0). Let k(r) = 155*r - 1. Let d be k(1). Suppose -c = -f + d. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*5\/(-20)*-4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 845*z + 828*z - 1720*z - 50. Is o(-5) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4725, 46, -18, 1 in descending order.\nAnswer: 4725, 46, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -3d8c3?\nAnswer: 3d8cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6765*k + 54096. What is v(-8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Let o(i) = i**3 - i**2 - i. Let w be o(2). Let d be (18\/8)\/(w + 1). Which is the closest to t? (a) d (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 15*q + 3. Let o be g(-14). Suppose 0 = y + 7 - o. What is the remainder when 37 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/88)\/(4\/(-16)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -435 - -435. Let x(a) be the second derivative of 2\/7*a**3 + 1\/21*a**4 + 6*a + 0 + d*a**2. Solve x(o) = 0 for o.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*k = -13, -2*l + 16 = -106*k + 104*k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 3. Let h be t(-5). Suppose 5*g - 13 = h, 5*b = 2*g + 15357. Suppose -3*l + 1694 = -b. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 10*i**2 + 9*i + 7. Let m be y(-7). Let u = -24 + m. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 26*k - 344. Calculate d(24).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2 + 3*c**3 - 2*c**3 - 236*c + 238*c - 3. Give v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.45 * -2052\nAnswer: 923.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.445302l in millilitres?\nAnswer: 8445.302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 9:28 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 161*s - 30. Let w be j(-12). Is (7\/(-14))\/(-1 - w\/1964) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1286696.\nAnswer: 1286696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/36 - 397\/(-4). Let y(k) = -g + 99 + 5*k**2. Let t(l) = 3*l. Give y(t(b)).\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 0.3. Let d(f) = -2*f - 7. Let c be d(-5). Let s be (-3)\/18 + (-1)\/c. Sort 1\/2, v, s in descending order.\nAnswer: 1\/2, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*z**2 - z - 46?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 3*y + 2*y)*(1 - 1 + 1)*(-38*y + 74*y + 21*y)*(-10*y - 2*y - 10*y + 2).\nAnswer: 1254*y**3 - 114*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 12:34 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x + 1. Let u(p) = -9*p + 3. Let i(q) = 8*q - 4. Let a(c) = 5*i(c) + 6*u(c). Determine 5*a(r) + 8*z(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 5*a + 1500*i - 1504*i, 0 = -2*a + 2*i + 32 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-4) - (-1 + -26). Let c = w + -43. Is ((-10)\/c)\/(1\/33) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Suppose 2*j + y*j = 28. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 249. Let r = -61.74 - 191.56. Let l = r - t. What is l rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.2, -2.1, -0.3, 1\/8, 22?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010010000011000101001 (base 2) in base 5?\nAnswer: 2211120310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004757695 rounded to 7 decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67968 divided by -58.\nAnswer: -33984\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uirxxxxxyxrxikrxxyy. Give prob of picking 1 u, 1 r, 1 k, and 1 x.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153490.4*215.\nAnswer: 33000436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -668450?\nAnswer: -267380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/(-25) - -6) + (244\/660 - 0).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.328 + 0.3280001641. What is t rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14941 - -7416867\nAnswer: 7431808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/11 - 31\/55. Let b = -0.2 + 0.2. Let a = -0.1 + b. Which is smaller: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u - 10. Let r be c(2). Let s(m) = -m**3 - 20*m**2 - m + 22. Let k be s(r). What is the highest common divisor of k and 252?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76558\/9 - -8508. Is n less than or equal to -11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -5*m**4\/24 - m**2. Let w(c) = -256*c**2 + 1803*c**2 - 1552*c**2. What is r(w(n))?\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(10) + 2*sqrt(20)\/sqrt(2) + sqrt(10) + sqrt(10)))**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by -24\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)*-4)\/(1*sqrt(2)*1).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, -5, -1\/31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43291\/29 + -1493. Let y = -0.843 + -0.157. What is the smallest value in a, y, -2\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + p - 14 = 0, -2*h + 17 = 4*p - 3. Suppose h*a = 5*u + 7*a, a - 3 = -2*u. Calculate the remainder when u is divided by (-16)\/(-9) - (-2)\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4 + 208*m**3 + 1686*m**2 - 2600*m - 30400 = 0. What is m?\nAnswer: -95, -8, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 24. Let g be o(16). Suppose 0 = -7*l - g*l - 60. Which is the third smallest value? (a) 2\/15 (b) 1 (c) l (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k + 7. Let a(n) = 3*n + 3. Suppose -j = -4*w + 5, -j - 3*w - 9 = -6*j. Calculate j*h(x) - 7*a(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1817*v**3 + 2*v**2 - 17. Let f(j) = 908*j**3 + j**2 + 8. Let p(d) = -5*f(d) - 2*g(d). Find the third derivative of p(q) wrt q.\nAnswer: -5436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25776 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7448806 or -7448808?\nAnswer: -7448808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from -100.\nAnswer: -100.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14017, -24271, -34517, -44755, -54985, -65207, -75421?\n\"Answer: 4*r**2 - 10266*r - 3755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -44597, -44604, -44633, -44696, -44805, -44972, -45209, -45528?\n\"Answer: -2*n**3 + n**2 + 4*n - 44600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**4 - 7*u**4 + 0 + 3*u**3 + 3 - 4 + 2*u**2 in the form a*u**3 + r + i*u**4 + h*u + s*u**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-45)\/(-6) - 5\/(170\/(-119))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44795 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide (63720\/(-10))\/((-3)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 5*q + 2589 - 2567, 1 = -5*i + q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghgggggggjjhhggghg. Give prob of sequence gh.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-5) + (-2487)\/(-7965). Let s = v + -4\/59. Which is the second biggest value? (a) 0.1 (b) s (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22282 divided by 1714?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p*r**3 - 4*p*r**2*s + 2*p*r**2 + 4*p*r + 30068*r**3*s**2 + 6*r**3*s - 2*r**2*s**2 - 451*s**2 wrt r.\nAnswer: -6*p + 180408*s**2 + 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(3800)*-2 + sqrt(3800) + sqrt(3800) - sqrt(38) - sqrt(456)\/(sqrt(300) + sqrt(12)))\/((sqrt(2) - 4*sqrt(12)\/sqrt(6) - sqrt(2))*4).\nAnswer: -3 + 7*sqrt(19)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*w + 232 = 98*w. What are the prime factors of w?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4 = 2*g + 4, 4*x = 4*g + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 5*q**2 + 3*q - 1. Let w be b(-4). Let h = -21 - -60. Suppose y - 34 = -w*f, 2*f - 6*f + h = -5*y. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3959927, -15839878, -35639789, -63359654, -98999467, -142559222, -194038913, -253438534?\n\"Answer: d**3 - 3959986*d**2 + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77\/((-55440)\/(-972)))\/((-42)\/70)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 320?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -20185 and -20184 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*c**5 + 56 - 56 - c**5 - 3*c**5 + 5*c**5 + (-5*c**2 + 5*c**2 - 4*c**4)*(-c - 4 + 4).\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - -10*(-634)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 2*b + 6*b - 2*b - 3. Let f(p) = p + 10. Let d be f(-6). Suppose j + 2*q - 6 = 0, -3*j = q - 4 - d. Determine r(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(0*q + 6*q + q) + 0*q + 0*q - 5*q.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (0 - (-2 - -4)))\/((-1766)\/15894)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14465 + -3006. List the prime factors of a.\nAnswer: 7, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1045 divided by -5?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/8648 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -2, -39 in ascending order.\nAnswer: -39, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310094 is divided by 3274.\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3231, 6043, 8855, 11667, 14479?\n\"Answer: 2812*s + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**9\/s**(-4\/5)*((s**1*s)\/s*s)**(-6\/17))**(3\/2))**(2\/31) assuming s is positive.\nAnswer: s**(2319\/2635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4650759nm to kilometers.\nAnswer: 0.0000000000004650759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((27 - 39) + 12)\/(-1 + 2). Solve 2*i - 11*l + 10*l + 12 = 0, z = 2*i - 4*l + 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (484\/(-198))\/(14\/(-189)*-9).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -2*z**3\/3 - 2*z. Suppose 8*w = 4*w + 36. Suppose 4*p = -5 + w. Give f(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10312 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4\/237, -61, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-1 + sqrt(832) - sqrt(832)) + -5)**2 + (-3 + (sqrt(832)*-1)**2)*6)*-4.\nAnswer: -20220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2010*78.1.\nAnswer: -156981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 - s + 3*s + 0 - 1)*(0 - 2 + 4)*(-621*s - 6*s - 186*s) in the form p*s**2 + d*s + v*s**3 + h and give p.\nAnswer: -3252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 2 + -1 + ((-44)\/(-88))\/((-1)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3282804 grams to milligrams.\nAnswer: 328.2804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 239\/6228?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -4894 + 21446. Suppose -3*c = -5*s - 617 + b, c = -s + 284. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (832 + 78 + 751)*(-3 + 4 - 3)*(-4 + 4 - 6*p).\nAnswer: 19932*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 19 = -67. Suppose -d + 5 = 3*w. Does 31 divide 20\/(-5) - (w + -89)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*s - 0, -p + 70 = 4*s. What is the remainder when p is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4)**(13\/5))**(-12) assuming h is positive.\nAnswer: h**(-624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + t - t**3)*(1837 + 129*t - 1837 + (-2*t + 5*t - t)*(-1 + 1 - 2)) as r*t + d*t**2 + x*t**4 + b*t**3 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5*o + 8*o = -5*o + 10, q - 9 = 3*o for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8766c (base 14) in base 12?\nAnswer: 139854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1188, 1\/3, -1\/23, 15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 12:22 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0*n**2 + n**2)*(-2 + 4 - n + 8*n).\nAnswer: -7*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 810, 1622, 2434?\n\"Answer: 812*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 34*a - 54 = 0. What are the prime factors of (-4512)\/(-56) + a\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnlxnnlnllfjlnfxl. Give prob of picking 1 c, 1 j, and 1 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 20512070 and 2.\nAnswer: 20512072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (516\/(-215) + 4)\/(595\/(-150) + 4).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111010010111 + 110111000000?\nAnswer: -10010000011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -286\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240636.\nAnswer: 2, 3, 11, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*l - 261*l + 135*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.064? (a) 0 (b) -1766 (c) 5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31625\/9 - -3479. Let f = g - -35. Which is the smallest value? (a) 1\/4 (b) -1\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4449693461?\nAnswer: 4449693461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31503, -128106, -289101, -514482, -804243, -1158378, -1576881, -2059746?\nAnswer: -2606967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 78.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 7. Suppose 3*z - 5*z = -10. Let u be q(z). Solve y = 4*r - 7, 0 = u*y + 2*r + 3*r - 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43177 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w. Let i(a) be the third derivative of a**5\/15 - 13*a**2. What is l(i(j))?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/22 (b) 159 (c) -4\/7 (d) -6 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*j = -117*j + 15. Let t be (-6)\/(-3) + 1*-2. Put j, t, -4 in ascending order.\nAnswer: -4, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 g when four letters picked without replacement from rggggpggprprgggggrpg.\nAnswer: 132\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 4944*b + 5 = 4946*b - 9, -3*t = -b + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1936\/176*(12\/(-3))\/((-22)\/8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437475, 874953, 1312431, 1749909, 2187387?\nAnswer: 2624865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/7 - 2\/(-7). Suppose -3*s = -v*l - 18 - 7, -2 = l. Solve -5*a + 25 = s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-120)*-6*420\/96*30\/7?\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 86*v - 376. Give m(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25 (b) 2642 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1251, -1250, -1249?\n\"Answer: m - 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 64 + 64 + 36*r as d + a*r and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5, -i - 10 = -5*i - 2*w. Suppose 3*t + u - 21 = 0, i*t - 2*u + 18 = 5*t. Solve -2 - t = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94692 is divided by 10278.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 16 = 0, -94 = -2*t + 5*r + 110. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/2505 and 12\/2875.\nAnswer: 1440375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q + 2. Suppose 12 = 28*z - 25*z. Let n(m) = -6*m - 3. Let p(a) = z*n(a) + 5*w(a). Determine p(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2) + (-5 - (-46)\/2). Let n = o - -7. What is the nearest to n in -6, 0.3, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 12 = 7*u. Suppose 2*j + 4 - u = 0. Suppose -2*s = -0*s - 4. What is the lowest common multiple of s and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*x = -24. Let t = -8 - x. Find the third derivative of 0*q**4 - 6*q**4 - 10*q**2 - q**t + q**2 wrt q.\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rriririjjjrii. Give prob of picking 1 r and 1 j.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -13*z**5\/5 + 4*z**3\/3 - 188*z + 305. Differentiate m(f) wrt f.\nAnswer: -52*f**3 + 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/11918302 and -7\/11556.\nAnswer: 643588308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 40*f**2 - 23*f - 26. Let i be m(16). What is i rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 0 + 0*b**4 - 13\/60*b**5 + 0*b - 29*b**2 + 0*b**3. Let a(c) = -2*c. Determine l(a(j)).\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.248923 to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -7 - 49. Suppose -t + 6*s + 14 = 9*s, 3*s = 2*t + m. Sort t, 1, -22 in descending order.\nAnswer: t, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-28) + ((-242)\/(-24) - 10)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -507, -148, 479, 1380, 2561, 4028, 5787?\nAnswer: 7844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15460000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3850 and 2530?\nAnswer: 88550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k + 3*k - 4*k)*(-2*k + 2*k + 2*k**2) + k**3 - 4*k**3 + 2*k**3)*(-16468*k**2 + 94 + 16260*k**2 - 93).\nAnswer: -208*k**5 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**5 + 230*i**4 + 440*i**3 - 10*i**2 - 445*i - 220 = 0.\nAnswer: -44, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234991 divided by -391.\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*x - 1441 - 129 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 606 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 161\/(-92)*(0 + 100). Let y = m + 176. Let x = -11948\/33 - -362. Is x greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -30*u**3 - 684*u**2 + 2072. Let a(i) = -17*i**3 - 343*i**2 + 1035. Let w(x) = 7*a(x) - 4*f(x). Differentiate w(q) with respect to q.\nAnswer: 3*q**2 + 670*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 4*g - 1. Let v(x) be the first derivative of 4*x**3\/3 + 9*x**2\/2 + 2*x + 67. What is -7*r(i) - 3*v(i)?\nAnswer: 2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 10. Let y(k) = 0 + 0 - k**j - k. Let o be y(0). Solve 0 = 3*f - o*f - w, -10 = 4*f + 2*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.76 times 0.826\nAnswer: -0.62776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 125164270227+-831\nAnswer: 125164269396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-38*(-9)\/24)\/(2646\/2352))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*v - 3*v + 4*v)*(0*v + 0*v + 2*v**2) + 0 - 2*v**3 + 0)*(-2*v + 0*v - v)*(-1 + 0 + 2) to s*v**3 + z + n*v + i*v**2 + x*v**4 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78947168 to the nearest integer?\nAnswer: 8885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 2. Let b(c) = c**2 + 3*c. Let i be b(-4). Let y be (210\/75)\/(i\/10). What is g(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30659683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*z - 23*z + 24*z - 616 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*g - 23470 = -1030*g - 6430 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-338)\/70 - -6 - 15\/25?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, -12, 20 in increasing order.\nAnswer: -12, 5, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8, 9, -2\/5, -234.6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 6\/7, -0.8, -3 in descending order.\nAnswer: 6\/7, -2\/3, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 4:08 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.300173 years to millennia.\nAnswer: 0.006300173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 20, 5*g - 4*k - 43 - 86 = 0. Let c be (9 + 1)\/((-2)\/2). Let i = -5 - c. Solve 2*n + n - 7 = 2*l, i*l + g = -4*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 - 14 = 12*o. What is the units digit of (9\/(-1))\/3 + o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -5 (c) -16 (d) -19 (e) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 18 = 3*f - 44, 2*u = -f + 9. Let n = f - 12. Let l(v) = 3*v**2 + 8*v - 3. List the prime factors of l(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-340)\/(-14790))\/((-1)\/(-3))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 4. Let y = 18 - 1. Suppose -4*t - 3 = y. Let b(i) = i - 1. Determine t*b(k) + f(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/4*288\/336. Suppose -3*y + 1165 = q, 10*y = 8*y - u*q + 765. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -7 - (-851)\/1. Suppose l = -w + 16, l - 16 = 4*w - 7*w. What is the highest common factor of l and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*o - 4458 = 0, 3*b - 6757 = 596*o - 600*o. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(2 + (-23)\/11). Suppose -5*q + d - 1 = 0. Solve -k = -3*k + q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 52 = -18. Let u(s) = -s**3 + 17*s**2 - 2*s + 37. Let o be u(k). Which is the second biggest value? (a) -1\/4 (b) -5 (c) 5\/2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 913 - 908. What is the third smallest value in 0.2, 67\/5, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -112372, -113233, -114094?\n\"Answer: -861*c - 111511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5, 4, -63.5773, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 483401296 a multiple of 698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 + d\/6.\nAnswer: d*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, -0.02, -0.1, -0.2939 in ascending order.\nAnswer: -0.2939, -0.1, -0.02, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*q + 23, 4*t - 8 - 16 = -4*q. Let f = 781 - 549. Let k = f + -235. Which is the smallest value? (a) q (b) 0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6281666 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + 0 + sqrt(128) - (sqrt(128)*2*4 - (-3 + sqrt(128) + 1)))**2.\nAnswer: -96*sqrt(2) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + -0.05. Let x = -6 - -11. Suppose 5*r - s + 5 = -6*s, x = r - s. Is r less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3428 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -85*w**2 - 53*w**2 + 122*w**2. Let g(m) = m**2. What is g(f(k))?\nAnswer: 256*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*n + 471528 = 11*n. List the prime factors of n.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from kkdd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuunuuunuuuuu. Give prob of picking 1 u and 1 n.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Is m > -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2)\/((-408)\/(-18))*((-36792)\/(-1323))\/(-146)?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 - -289. Let c be (1 - z\/(-9))*-3000. Round c to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 3:12 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:49 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101256*r**3 + 10625*r**3 + 190254*r**3.\nAnswer: 302135*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c. Let t(f) = 7*f - 8*f + 3*f. Give w(t(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/2 - (-2 - (-30)\/6). Let h(s) = -2*s**3 - 11*s**2 + 8*s + 13. Let x be h(r). Solve 3*w - 2*w = x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265 and 59625?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97738 is divided by 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1. Let s(y) = y + 2. Let l(r) = 4*o(r) - s(r). Let n be l(2). Find the first derivative of -6*t**4 - 15*t**4 - 5 - 1 + n wrt t.\nAnswer: -84*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 14, n: 4}. Give prob of sequence neee.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 374 - b**4 - 386 + 2*b**4 - 5*b**3 as d*b**3 + t + r*b + j*b**4 + f*b**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-30)*-4)\/(-10). Let f = -77\/50 - t. What is the smallest value in 1\/4, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48*38\/2128*245\/25.\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0.15, 8, -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5, -0.2, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -2. Let z(w) be the first derivative of -w**4\/4 - 5*w**3\/3 - 3*w**2 - w + 267. Let b be z(h). Solve 2*u = -3*g - b, 3*u = -2*u - g - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2620*p - 33761*p - 17811*p.\nAnswer: -48952*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -511655\nAnswer: -1534965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, 0.09, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 + 0*t**5 - 2*t**5 + 34*t**5 + 185*t**5 + 136*t**5 + (0*t + 0*t - t**2)*(2*t**3 - 5*t**3 - 2*t**3).\nAnswer: 356*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-15*w - 5*w + 13*w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**6\/180 + j**4\/12 - 2*j**3\/9 - j**2. Suppose a(u) = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 56.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t + 18*t - t + (3 + 2 - 4)*(-t + 2*t - 3*t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + 0*n - 5*n + n - 5*n + 3*n + (2 + 0 - 3)*(-2*n - n + n) + 4*n - 1 + 1 - 2 + 2 + n)*(-5*n - 2 + 2).\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26045 is divided by 6497?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, w: 3, c: 4, r: 1, o: 1}. What is prob of picking 1 o, 1 v, and 2 w?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142942?\nAnswer: 2, 71471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 42, 50, 72, 114, 182, 282, 420?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -4\/3, 0.005, -1, 5, 21218 in decreasing order.\nAnswer: 21218, 34, 5, 0.005, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7214.08624036 - -7231.08625. Let g = 17 - z. What is g rounded to 7 dps?\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f**2 - 7*f - 7. Let w be (1\/3)\/(2\/18). Let p(n) = -w*n + 7*n + 4*n**2 + 3 - n. What is 7*p(a) + 3*r(a)?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 616\/(-21)*(-75)\/20. Calculate the greatest common factor of 1190 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 + -126. Let w(a) = 5*a - 14. Calculate w(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + j**4 + 2*j**4 + (-28 - 8*j**3 + 28)*(-j + j - 2*j + (-4 + 2 + 0)*(-j + 5*j - 2*j)).\nAnswer: 49*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8733 is divided by 1089.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**6\/60 - 3*m**5\/20 + 2*m**2 + 2. Let l(d) be the second derivative of h(d). What is the third derivative of l(x) wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 divided by -77?\nAnswer: -370\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q = -12. Let b be (-20)\/q - 4\/12. Let a = 2439 + -2438. Calculate the highest common divisor of b and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i = -19*i + 2*d + 23, -3*d = -5*i - 28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2\/11, -1.7 in ascending order.\nAnswer: -10, -1.7, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1083.8 - -1084. What is the nearest to -0.1 in -2, -9.3, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d - 12. Let l be q(-5). Suppose 0*k = k + l. Let a be ((-6)\/k)\/((-9)\/(-2)). Is a < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 332 and 87172244?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 - 3*g**4 - 30*g**5 - 2*g**5 - g**5 + 2*g**5 + (3*g + 0*g - 2*g)*(4*g**2 - 4*g**2 + g**4) + 2*g**5 - 4*g**5 + 4*g**5.\nAnswer: -28*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c*c*c**(-1\/4)*c)))**(-12)*c*c**(3\/8)*c**(3\/7) assuming c is positive.\nAnswer: c**(-1075\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 24. Let c be -2*(-1 - (a + 4)). Let r(o) = 9*o**2 - 5. Let g(y) = 28*y**2 - 14. Let p(s) = c*g(s) - 7*r(s). Differentiate p(l) wrt l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/428883 and 47\/14214408?\nAnswer: 99500856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*i**2*v**2 + 26*d**3*i - 4*d**2*i**2*v**2 - i**2*v - 4*v wrt v?\nAnswer: 2*d**3*i**2 - 8*d**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from btcpxccncctt?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2699644026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7592 - 7592.5. Suppose 2*l + 0*m = 5*m - 3, l + 2*m + 6 = 0. Let g be (20\/(-8))\/((-2)\/l). What is the second smallest value in g, r, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-103)\/((-36256)\/(-320)))\/(8\/22)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60075307 to the nearest integer?\nAnswer: 7751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -78, -134, -190?\n\"Answer: -56*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -13*r**2 - 43*r + 38. Let i(u) = -22*u**2 - 72*u + 63. Let s(j) = -10*i(j) + 17*q(j). Calculate s(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 26)*7\/(-3). Suppose f = 2*w - 104. Calculate the highest common divisor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:30 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 24 = -4*p, 173*p = 168*p - 4*i + 30 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 d when three letters picked without replacement from {c: 2, d: 7, w: 1, j: 7}.\nAnswer: 147\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.157 + 0.057. What is the closest to -21 in 2, y, 2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76226 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-30) - (-4)\/(-5). Let v be 10\/(-2)*(1 - 2). What is the second derivative of 2*a**3 + t*a - v*a**3 + 2*a wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 8524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*129\/(-78) + 54\/351)\/(1035\/(-10))?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35136512.\nAnswer: 2, 34313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 23\/8 of a micrometer?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17.117763 months?\nAnswer: 1.42648025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1079*s + 541*s = -541*s - 33 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:10 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.062498 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from dvvzkdvddkvdkkmdddd?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -14745 and -0.1.\nAnswer: -14745.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 10*k = -24. Let d(i) be the third derivative of i**4\/24 - i**3\/6 + i**2. List the prime factors of d(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/10 - -1)*-5. Suppose 0 = 3*p - 9, 3*q - 6*p = -3*p + 12. Suppose 5*l = 13 + q. Sort a, -4, l.\nAnswer: -4, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 - 1. Let d(a) = 19*a**2 + 112*a - 3131. Let w(u) = -3*d(u) - 15*i(u). Factor w(j).\nAnswer: 3*(j - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 6*k - 6. Let d be m(-4). Let v = d + 12. Let i(p) be the third derivative of -p**4\/24 - 474*p**2. Give i(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 4*t = 6. Suppose 0 = -t*f - f + 3072. Let d = f - 467. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-288)\/27)\/(10\/(-45))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 211 - 213 + 424 + 4*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3093, 3092, 3091, 3090, 3089, 3088?\nAnswer: 3087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1314)\/(-730)*(-10)\/(-6)*(-14)\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 1797 = -13158. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 - 4775.5251?\nAnswer: -4492.5251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -45*h + 18*h + 25*h - 4. Give q(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**4 - 69392*q**3 + 7264092*q**2 + 624528*q - 65376990 = 0?\nAnswer: -3, 3, 105, 34591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 12:06 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4188 divided by -4.\nAnswer: -1047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(7) + 2*sqrt(175))*-5.\nAnswer: -275*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 1298254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63721 (base 9) to base 12.\nAnswer: -20477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*p - 6 = 0, 0 = -4*p - 15 + 3. Suppose z - 4*s = 22, 0 = s - 1 + x. What is the highest common factor of z and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 + 155*z + 782. Give x(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -18, 0, -5 in decreasing order.\nAnswer: 0, -2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*9\/6 - (0 - 0). Solve -3*p + 3*r = -l, 4 = 2*p - r - 0*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 10:50 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.053 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102216, -205866, -309516, -413166, -516816, -620466?\nAnswer: -724116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 2. Let b = 0.8 + -5.8. What is the third biggest value in p, b, 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 2:27 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 14*x**2 - 16*x + 11. Suppose 78 = l + 5*l. Let o be n(l). Let w = -27 - o. Solve 2*k + w = -7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2)*p)**20\/(p**(-1)*p)**42 assuming p is positive.\nAnswer: p**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -12*m**2. Let r(g) = 17036886*g. Calculate r(o(u)).\nAnswer: -204442632*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 39. What is the highest common divisor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 2*l - 2. Let c be o(1). Let w(f) = f. Let g be w(0). What is a in g + 2\/9*a + 2\/9*a**3 + 4\/9*a**c = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -80 in -7, -5, 0.53, 2, 3, 14\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -783, -773, -749, -705, -635?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55818972071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 40 (b) -2\/9 (c) 3\/2804 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.699 + 78.499. Let t = -76 + s. Let b = 1.79849 - t. What is b rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-11\/2))\/t**(-2\/9) assuming t is positive.\nAnswer: t**(-77\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let r = h + 2. Let g be ((-2)\/7)\/(3\/(-7)). Put g, -2, r in descending order.\nAnswer: r, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8633091 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6441?\nAnswer: 3, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2248 = 35*g - 1248703. What is the greatest common divisor of 27 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (1 + 108\/12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0187896*-11.\nAnswer: -0.2066856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-4)\/(-6)*3). Suppose l*o - 2*o - 58 = 0. Let s = -21 - o. What is the least common multiple of 20 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - m. Let o(j) = 6*j**2 + 3*j. Give -8*n(y) - 3*o(y).\nAnswer: -2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5*-43\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 29 = 2*m, -b - 242 = -3*m - 243 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36782.7 and -513.\nAnswer: 18869525.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1779068 - 6649*n - 1779068.\nAnswer: -6649*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c. Let k be 4 - (0 - c) - 2. Suppose i = -k*i + 33. Calculate the greatest common factor of i and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344124839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(360\/(-210) - (-72)\/(-56)) + -1*89?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 612 - -136?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 173, 292, 345, 326, 229, 48, -223, -590?\n\"Answer: -a**3 - 27*a**2 + 207*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -573*y**2 - 2905*y - 200. Determine o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 79, 116, 115, 76, -1?\n\"Answer: -19*a**2 + 94*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3278463 is divided by 25414?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 35 - 4*v**2 - 38 - v. Let r(p) = -3*p**2 - 2. Let c = -7 - -53. Let q = c - 48. Give q*j(b) + 3*r(b).\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677294777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 - u - 1. Let h(k) be the second derivative of 213*k**5\/20 - 71*k**4\/6 - 71*k**3\/3 - 71*k**2 - 34*k + 2. Calculate -142*f(d) + h(d).\nAnswer: 71*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*v - 360*v + 6*v + 42*v.\nAnswer: -460*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -71, 294, -4 in descending order.\nAnswer: 294, -0.1, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, t: 2, s: 2, z: 3}. Give prob of sequence nzn.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10945777 is divided by 614.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 12*f**2 - 12*f + 11. Let o be g(11). Suppose 3 + o = i. Suppose 4*c - 5*r - 172 = 0, -i*c + 0*r + 160 = 4*r. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q - 9. Let z be f(6). Suppose -3*o - 5 = -v, -v + 1 = -5*o - 8. Let y = o + z. Is y bigger than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-4) - 3) + 213\/(-6). Let t = m + 37. Suppose 0 = -3*q + 5*d + 14 - t, -q + 5*d = -7. Sort 3, -4, q.\nAnswer: -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 9 = -45 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*p**2 - 24*p**2 + 25*p**2)*((-p**2 - 2*p + 2*p)*(-p + 2 - 2) + 5*p**3 - 2*p**3 - p**3).\nAnswer: -411*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 4)\/(3 - 2). Let z be 56 + (-2)\/q*2. What are the prime factors of (39\/(-2))\/((-18)\/z)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674416152 a multiple of 9666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -7058 and -15.1329525.\nAnswer: -7073.1329525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**0)**(-35))**(-26)*(o*o**0)\/o*o*o\/o**(-2\/13)*o**(-2)*o\/(o\/(o*o*o**2)) assuming o is positive.\nAnswer: o**(35544\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*r + 3 + (r + 2*r - 6*r)*(15 + 44 - 11) in the form g*r + n and give g.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**3 - 93*o**2 - 12*o - 35. Is t(33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 150 = -12*q. Find j, given that 1\/5*j**q + 8\/5*j - 1\/5*j**4 + 4\/5 - j**3 + 1\/5*j**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5.2 (b) -0.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 122*d - 306209 + 296937 for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33\/485 + 409\/8245. Suppose 4*r - 2 = 6. Let x be 1*r*2\/4. What is the closest to s in -4, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. What is the smallest value in g, 0.2, 5\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*u + 4 + 0 - 8*u)*(-3 + 7 - 3)*(-2 - 3 + 2)*(3*u**2 + 3*u**2 - 4*u**2) to y + n*u**3 + z*u**2 + g*u and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 34*i**2 - 501*i + 47. Let m be x(-43). Calculate the greatest common factor of 49 and m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21450 - -33453. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + -37 + 2 + -2. What is the common denominator of j\/30*27\/(-10) and 11\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158*b**2\/7 - 586*b + 156\/7.\nAnswer: -2*(b + 26)*(79*b - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/88 in -4, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = 0, 3*w = -0*d - 3*d + 6. Suppose -d*n - 4 = -19. Suppose -5*b - 32 = -c, -c + n = b - 5. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 + 85 - 45 + 72*f as i + g*f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -265191\/114212 - -2\/4079. Let p = 669 + -6761\/10. Calculate the common denominator of n and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-q + q + q) - 5034*q - 7076*q + 14102*q - q + 4*q + q.\nAnswer: 1994*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 74 = 9*u. Calculate the remainder when u is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35144203 (base 6) to base 13\nAnswer: 2c09b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**5\/25 + z**4\/10 - z**3\/15 + 90. Let d(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*x + 121*x - 29 = -3*o, 4*x = -2*o + 38 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60691 or 60690?\nAnswer: 60691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3\/2 - 1685604*v**2 - 473543474136*v = 0. What is v?\nAnswer: -561868, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**4 + 16*f**3 + 12*f**2 - 16*f - 16 = 0. Calculate f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18074 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) 1742 (b) 2\/3 (c) 0.1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 35*x + 69. Give n(36).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/635 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3521*x - 104411 = 22345 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Suppose -2*n + 19 = s + z*n, 0 = -s + 5*n + 9. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 85. Is g a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 3:00 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10*o. Does 2 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*l = -9, -3*m + 2*m + 11 = 3*l. Let i(z) be the second derivative of z**4\/12 - z**3\/6 - z**2 - 9*z. Let k be i(m). Solve -10 + k = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 - -140. Let r = 11 - 9. What is the closest to r in j, -2, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110.1*-1914\nAnswer: -210731.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -430.999999634 + 431. What is b rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59755249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 93*u - 913. Calculate j(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 3. Let z = -5 + 13. Let v = -4 - -1. Let k(m) = -8 + 7081*m**2 + 0 - 7087*m**2. Give v*k(s) + z*c(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 9*l**2 - 6*l + 8. Let k be a(-8). Is (2 - (-252)\/k)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125279?\nAnswer: 3, 71, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1552 - 778 - 774 - 1156*r**2.\nAnswer: -1156*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*v + 3*v + 86 = 0, -12 = -q - 2*v. Let z(o) = -o**3 + 9*o**2 - 2. Let l be z(9). Calculate the lowest common multiple of q and -9*(-2 + 3)*l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 6 - 6)*(0*o - 5*o + 16*o)*(-101 - 806*o + 10 + 808*o) in the form x*o + a + m*o**2 and give x.\nAnswer: -3003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**4\/24 - 11*q**3\/6 - 34*q**2. Determine c(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.3. Let k be (-6)\/4*(-4)\/(-12). Let b = -0.03 + 0.43. What is the nearest to k in b, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 449234?\nAnswer: -1\/224617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.883369 to 2 decimal places.\nAnswer: 44.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/54 of a week in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*d**3 - 5*c**2*d**2 + 5*c**2*d - c*d + 57*c - 91*d**3 wrt d.\nAnswer: 6*c**2*d - 10*c**2 - 546*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 12, 0 in increasing order.\nAnswer: 0, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:56 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 261.85 and -0.5.\nAnswer: -130.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v. Let b(l) = -9*l - 2443. What is b(p(t))?\nAnswer: 27*t - 2443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/63 - (-4)\/2) + -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3233 + -0.2233. Which is smaller: -111\/29 or x?\nAnswer: -111\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 145?\nAnswer: -9\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1498144294 to the nearest integer?\nAnswer: 38706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13862881.\nAnswer: 13862881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30246732 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.5 + -19.5. Let a = b - -14.7. Let d = -0.01 + -0.39. Put a, -20, d in descending order.\nAnswer: a, d, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11944 or 0.136?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**3 - 5*x**2 + 4*x - 6. Let m(p) = -2 + 3 - 11*p**3 + p**2 + 12*p**3 - p + 0*p. Determine 4*m(y) + w(y).\nAnswer: -y**3 - y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 - 32*c + 23. Let d be w(-5). Solve 4 = 29*y - d*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*v + 53*v + 139*v + 33*v as m + z*v and give z.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5, 0 = -5*b - 0*b + 3*a - 5. Let q be 2\/(-3) - 28\/(-60). Let j = q - -1\/55. What is the third biggest value in j, -4\/3, b?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70085968.\nAnswer: 2, 17, 23, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f + 4194. Let d(x) = 324*x + 2. Give k(d(a)).\nAnswer: -1620*a + 4184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4671497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147444 and 3696?\nAnswer: 4128432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22968 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -5 (c) 16 (d) 3 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 722 - 652. What is the lowest common multiple of t and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(0 + 4 - 5 + (-1 + 0 + 0)*(3 - 1 - 3) + 6 - 2 - 1)*(-9008*c + 9008*c + 185*c**3 + (-5*c + 5*c - 2*c**2)*(4*c - 2*c - 3*c)).\nAnswer: 1122*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10e (base 15) to base 5.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -8, 2.\nAnswer: -8, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -165, -0.5, -40\/51?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**2 + 6*b**2 - 3*b**3)*(-7 - 28 + 21).\nAnswer: 42*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 5*x - 2*r, 0 = x - 3*r. Suppose 0 = 2*c - x - 0. Solve -j - 3 = -c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:39 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1038*p - 599 - 6037 = 879*p + 2427 for p.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) -0.24 (b) 0 (c) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (13\/((-195)\/(-50)))\/((-2)\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-2)))\/(((c\/(c\/c**(-2)*c)*c)\/c)\/c))\/(c**(-1\/3)*c*c**(2\/11)) assuming c is positive.\nAnswer: c**(38\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40228246.\nAnswer: 2, 20114123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 3*s - 4. Suppose -4*h + 50 = 2*n, 0 = -2*h - 0*h + 2*n + 40. Suppose 2*i - h = -i, -4*i = -5*r + 10. What are the prime factors of o(r)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -12*n + 104. Let q be j(8). Solve 0 = 2*c - 2*t + q, 14*t = 10*t - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 24 = 2*a. Let p = -14 - a. Suppose -5*i - 44 = -7*i. Calculate the remainder when i is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48512383 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 22*x**2 + 21*x - 46. Determine u(21).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 606.7184 decades?\nAnswer: 6067.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.33439m to millimeters.\nAnswer: 46334.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*r - 4305 = 5149 - 1312. Solve -60 = 3*p - r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 10831046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94.25 + -91.25. Let n = -4\/18355 - -34856177\/146840. Let t = n + -450047\/1896. What is the third biggest value in a, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -155, -224, -293, -362?\n\"Answer: -69*z - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h - 3*c = -9, -c = -3*h + 1. Suppose h*p - 6 + 0 = 0. Solve -5*d - 4*w + 1 = 0, 3*w + 1 = -5*d + p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 1, 11, -1, 9.\nAnswer: -43, -1, 1, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2876657 (base 9) in base 2?\nAnswer: -110000011001111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 958 and 8.\nAnswer: 3832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -88. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -13*r + 8 - 6*r + 25*r - 6*r - 5*r. Determine f(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b062 (base 13) to base 2\nAnswer: 10011110111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/(-28)*(1 + -587) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*(sqrt(65) - ((-2*sqrt(65)*3 - sqrt(65)) + sqrt(65)))\/((sqrt(30) + sqrt(30)*-1)\/sqrt(6) + sqrt(5)))**2.\nAnswer: 2544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-4) - (-2 - 1). Let i(r) be the first derivative of r**4\/24 - r**3\/2 - 2*r**2 + 8. Let d(x) be the second derivative of i(x). Determine d(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 10:49 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 8) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 961*j**5\/50 + 62*j**4\/15 + 4*j**3\/15 - 2*j - 636. Determine i, given that g(i) = 0.\nAnswer: -2\/31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44235123 + 42?\nAnswer: -44235041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.8 - 0.2. Let y = 21 - 12. Suppose 13 + y = -x + 5*l, -2*x = -4*l + 14. Which is the third smallest value? (a) 4 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: cd (base 15) to base 13\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 - 52.7. Let w = i + 52.5. Let k = w + -4.5. Which is bigger: 4 or k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 59632388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1970*g + 4041*g - 2086*g - 1.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 681 or 672?\nAnswer: 672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlk when three letters picked without replacement from lvklqcqlklylc?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316110?\nAnswer: 2, 5, 131611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18227 + -18213. Solve 18*o = t + y*o + 10, o - 4 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 11:48 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 divided by -122?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9444, 75205, 253704, 601311, 1174396?\n\"Answer: 9395*i**3 - i**2 - i + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 4 (c) 33 (d) 26.3919\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*a**4 + 43*a**4 - 73*a**4 + (-5*a**3 + 5*a**3 + 4*a**3)*(0*a + a - 3*a) to x*a**2 + g*a + z + j*a**4 + h*a**3 and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 2:10 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 6) to base 2\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1760)\/(-528)*14*9\/6*24\/84?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -1\/18*o**4 + 0 + 0*o**3 + 0*o**2 + 47*o. Let i(g) = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834624 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 133\/(-14)) + 13\/(-14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4*x + 2*i**4 + 1088*i**2 + 6*i*x - 83*i + 2*x + 2 wrt i.\nAnswer: 12*i**2*x + 24*i**2 + 2176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 260 = 5*z, k + 52 = -4*z + 5*z. Let q be 18\/(-12)*(-8)\/(-6). Let c(y) = -6*y + 1. Let f be c(q). Calculate the greatest common factor of f and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341902447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-2)*2\/(-6). Suppose a = -2*k - 4. Let j = 7 + k. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9122736 is divided by 4269?\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -530.72 rounded to the nearest integer?\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 497 + -288. Let y = -12 + p. What is the remainder when y is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.49549 and -50?\nAnswer: 50.49549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -499.1847 to the nearest ten.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 407?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8384 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 39\/(-3))\/((-1)\/3). Let t be (3 + q\/(-10))*-6. Let m be (t + -2 + 1)\/(-5 + 7). Solve 0 = -m*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1166772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7*g. Let h be (g\/(-3 + 5))\/(-2). Suppose 4*x - 3 = -2*u + 3, h = -2*u - 5*x + 7. Is -1\/4 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, -52, -98, -158, -232, -320?\n\"Answer: -7*q**2 - 11*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1139 or -1141?\nAnswer: -1141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, x: 12}. Give prob of picking 1 p and 2 x.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106.7 + 105. What is the smallest value in 3, 2\/13, a, 3\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 6:04 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -4, 79 in decreasing order.\nAnswer: 79, -0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/9*15\/6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 5*x + 7. Let t be n(-3). Suppose -3*l - 2*l = -3*r - 9, -r + 2*l = 4. Let s(d) = 0 - r*d + 3*d + 5 - t. Calculate s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 5 (c) 1.6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 4, 47, 1, -2, 3, 2 in decreasing order.\nAnswer: 47, 32, 4, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4*x + 36 = 0, -5*x + 8*x - 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -60. Suppose -2*c + 3*c = k. Calculate the remainder when c is divided by (18\/4)\/((-3)\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(44)*5.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 23*m**2 + 1370*m - 143. Let o be v(-60). Which is the second smallest value? (a) 2\/9 (b) 3 (c) o (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 52483.\nAnswer: 52483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/(((s\/(s*s**(-11)\/s))\/s)\/s))*s))**37)**(3\/20) assuming s is positive.\nAnswer: s**(-111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*z**5 + 5*z**5 - 2*z**2 + 5*z**2 wrt z.\nAnswer: 600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2852217 and 2170.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*p + 720 = -41*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10382003.91 to the nearest one thousand.\nAnswer: -10382000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d - 3*d)*(-4 + 2 + 1)*((3 + 4 - 5)*(2 - 3 + 2) + 3 + 0 - 2).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1230 - 1233. Which is bigger: 37.8 or u?\nAnswer: 37.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8275596.7599927 + -8275595. Let w = p + -1.76. Round w to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(2\/47)*l**(3\/16)*l*l**(-1\/8)*l**(-1) assuming l is positive.\nAnswer: l**(767\/752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-2))\/(-1))\/((-27)\/(-18)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.580749 grams in kilograms?\nAnswer: 0.004580749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221110022102 + 10?\nAnswer: 221110022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 44728.7 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + 0*k**3 + k**3)*(6*k - 24*k + 6*k) + 0*k - 2*k**4 + 0*k.\nAnswer: 22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*o = -64, 4*o + 98 = -0*j + 3*j. Let x = j - 25. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhhhhmqhmm. Give prob of picking 1 q, 2 h, and 1 m.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105.9726693 + 2.\nAnswer: -103.9726693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 12. Let d(g) = -12*g - 31. Calculate the remainder when d(s) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.2 + 39.59. Let p = -2.31 - g. Suppose a - 3*a = 16. Put p, a, -1, -0.5 in decreasing order.\nAnswer: p, -0.5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13281200 + -31585.8.\nAnswer: 13249614.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1321 + -1320.9. What is the second smallest value in 1\/2, v, -4\/7, -96?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/6 - -2)*21\/35. What is the nearest to 0 in n, 5\/4, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3990626*g - 3988513*g + g**2 - g**2 - 2948*g**4 wrt g?\nAnswer: -35376*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -14719 + 14717 - 5013*f + 130*f - 1828*f - 13818*f. Let w(m) = -2*m**2. What is g(w(j))?\nAnswer: 41058*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -741) + (-4 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Let p = -3 + 3. What is the third smallest value in p, q, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f. Let q be p(-1). Suppose -9 = -2*w - 3*x, -5*w - 2*x + 13 = -q*x. Suppose -w*l = -7 - 5. Calculate the highest common factor of 36 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92415893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*f - 6*f. Suppose 0 = -4*q - 5*g + 108, g = -f*q + 3*q + 108. Suppose -q = -4*v + 17. What is the smallest common multiple of v and 26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.73 + -5.73. Let o = 20 + -61\/3. Which is the closest to h? (a) 3\/2 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 2 - 6 + 4. Let z(v) be the third derivative of 13*v**5\/5 - 7*v**2 - 102. Calculate m(z(c)).\nAnswer: 312*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 743 and 3.\nAnswer: 2229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1151*l + 42166 + 9267 = -1556*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224622360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 - 2*v**2 - v + 1. Let t(n) = 8*n**3 - 12*n**2 + 12*n + 7. Calculate -t(f) + 5*u(f).\nAnswer: 2*f**3 + 2*f**2 - 17*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 11*n**3 - 9*n**2 - 11*n + 17. Let r(p) = 5*p**3 - 4*p**2 - 5*p + 8. Let y(w) = 6*d(w) - 13*r(w). Determine y(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 5. Let k(x) be the third derivative of -x**4\/24 + 2*x**3 - 2*x**2. What is the units digit of k(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78829 and -92?\nAnswer: 7252268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46702861?\nAnswer: 46702861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 24, -2215, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2. Let j(i) = 784366*i**2. Determine j(r(m)).\nAnswer: 3137464*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9109 + -9106. What is the smallest value in 2\/3, 0.5, 0.6, -7, h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 10*a**3 - 44*a + 44*a.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -8 - (-1 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2109 or 64634?\nAnswer: -2109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = 2. What is the smallest value in o, 2\/15, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -808 + 1585. What is j rounded to the nearest 10?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -59*m**2 + 6536*m - 32741. Calculate j(5).\nAnswer: -1536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63336 and 73892.\nAnswer: 443352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2645)\/(-10557) - 6\/81\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-3)*(-448)\/320 + 0\/(30\/(-5))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000851371 to five decimal places.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 100064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 6 + -4 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.6325 - 1545048.6325. Let b = 1545023.000014 + i. Let x = b + -8. Round x to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11*f**3 - 11*f**2 + 16. Let d(x) = -5*x**3 - 5*x**2 + 8. What is -13*d(a) + 6*m(a)?\nAnswer: -a**3 - a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*h - 40 = 119*h, -5*h = p + 4*p - 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + 5*(sqrt(35)*-2 + sqrt(35)))\/sqrt(5) + (sqrt(7) + 4*(sqrt(28))**2 - (sqrt(49)\/(sqrt(14)\/sqrt(2)) + sqrt(7))).\nAnswer: -5*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*p**3 + 911 + 915 + 915 - 49*p**3 - 2744.\nAnswer: 267*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 41 = -4*f - 16, -f = -4. Let p = -76 - b. What is the tens digit of (50\/p)\/((-44)\/198)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-78))\/(3\/6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 33, -46\/5, 5, 0.3 in decreasing order.\nAnswer: 33, 5, 4\/7, 0.3, -46\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 501*p + 341. Let n(v) = -504*v - 339. Let w(m) = -4*d(m) - 5*n(m). Differentiate w(l) with respect to l.\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-25)*-1*25. Let n(h) = h**2 - 7*h - 3. Let a be n(l). Let j be 2\/4 - a\/(-18). Solve -5*p - g = 5, -j*g - 2 = 2*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 - 11*q**4 + 113*q**2 wrt q?\nAnswer: 120*q**2 - 264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10 + w**2 + 3*w - 4 - 2*w**2 - 5. Determine z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y + 1300 = -4*y - 76*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 353543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 23 - 16. Calculate the greatest common factor of u and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/84*4*14\/(-12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 16. Let w(t) = t**3 + 125*t**2 - 528*t - 34490. Let a be w(-127). Calculate the highest common factor of a and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.2198 - -0.2088. Let u = 0.011 + p. Let q = u + 20. Sort q, 1\/5, 1 in ascending order.\nAnswer: q, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 725413111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.8551 to 1 decimal place.\nAnswer: 21.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -1 + 0*k**6 - 7\/12*k**4 - 1\/7*k**7 - 1\/10*k**5 + 0*k**3 - 25*k - 3\/2*k**2. Find the third derivative of w(d) wrt d.\nAnswer: -360*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*u - u + 1, 0 = -3*h + u - 9. Is (h + 3 - -3273) + (0 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(1\/13) assuming k is positive.\nAnswer: k**(-1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9 - (-11)\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 5 (c) 1995 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 50\/(-60) - 2\/(-6). What is the second smallest value in -2\/15, 0, w?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 3, -3, 5, 0, 2436 in descending order.\nAnswer: 2436, 5, 3, 0, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2419*o - 2416*o + 5*x - 29 = -0, -5*o = -18*x - 22 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 5*t - 3. Suppose 5*b - 19 + 9 = 0. Suppose -4*h - 4 = 4*a, 2*h - a + b - 15 = 0. Give c(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 6*t + 9*t - 15*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9 = -16. Let m(y) = 103*y - 5. Let s be m(x). What is s rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00066718 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -30*i**3 + 8*i**2 - 6*i + 8. Let a(u) = -10*u**3 + 3*u**2 - 2*u + 3. Let x(j) = -11*a(j) + 4*k(j). Calculate x(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 769 and 2892209?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001725678 rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52041, 103893, 155745, 207597, 259449, 311301?\n\"Answer: 51852*q + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*h**4\/3 + 182*h**3\/3 + 130*h**2\/3 - 44*h\/3 = 0. What is h?\nAnswer: -22, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.65 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -200100 (base 3) in base 8?\nAnswer: -757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5575, -3, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + 2*i**2 - 4*i. Let d(o) = -3*o**3 + 2*o**2 - 5*o - 1. Let m(w) = -3*d(w) + 4*h(w). Calculate the remainder when m(3) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 - 446094*l - 3122756 = 0. What is l?\nAnswer: -7, 223054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:42 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -71163, -7, -4, 5 in descending order.\nAnswer: 5, -4, -7, -71163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.04, 0.4, -69?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-22)\/(q**(-8\/13)*q))\/(q*q**32*(q\/(q\/(((q\/(q\/q**30)*q)\/q)\/q))*q)\/q*q) assuming q is positive.\nAnswer: q**(-1110\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 12:54 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -3*x**5\/20 + 4*x. Let k(c) = -c - 9 + 0 - 7*c**2 - c**3 - c. Let m be k(-7). Let p(o) = 2*o**3. Calculate m*p(b) + 3*w(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 1. Let l be f(1). Solve -2*g = -u - 3*g + 3, 5*u + 3*g - 7 = l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {w: 3, i: 3, c: 1, d: 1, v: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:40 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/5679 and (-17)\/18*1\/((-21)\/168).\nAnswer: 5679","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + ((-7224)\/(-2520) - (-2)\/15)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*y**4 - 10*d*y**2 + 2*d - 2*y**4 + 13827*y wrt y?\nAnswer: 12*d*y**2 - 20*d - 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k - 0*k + 400. Suppose 4*f - m = 250 - 56, 134 = 3*f + 5*m. What is the second derivative of -k*s**5 + f*s**5 + 3*s + 6*s wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5 - 114*d**4 - 4767*d**3 - 38620*d**2 - 88800*d = 0. What is d?\nAnswer: -24, -5, 0, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + k + 104 = 0, 0 = -v + 7*k - 9*k - 107. Let u = v - -104. Suppose 15 = d + 2*d, -3*z + u*d + 534 = 0. Does 35 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4682*g - 5062*g + 321*g.\nAnswer: -59*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (8 - 2) + (25 - 49) + (9 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3031113 (base 5) to base 8.\nAnswer: 137414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2) - (-42759)\/9502\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13)\/s)\/(s\/s**(-2\/11))*(s*s\/(s*s**(2\/13)))\/(s\/(s**(-1\/4)*s*s)*s*s*s) assuming s is positive.\nAnswer: s**(-2139\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (2 + -1 + -8). Let o(s) = 2*s**2 - 9*s + 5. Calculate the remainder when o(w) is divided by 6 + (5 - (6 - 3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219062 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o**2 - 1. Calculate j(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(324))\/(sqrt(4) + -2*sqrt(324)) + 1.\nAnswer: -sqrt(3)\/102 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1607360521.\nAnswer: 13, 53, 179453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 3 - (-12)\/(-21). Which is the biggest value? (a) -0.5 (b) -0.9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 6*q - 1. Calculate t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:55 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116998547?\nAnswer: 116998547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 411 + -312. Suppose 0 = 4*d - 3*y + q, -75*y + 67 = -2*d - 70*y. Sort 2, d, -4 in ascending order.\nAnswer: d, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99 (base 15) to base 10.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 70. Let f(i) = -i - 84. Let h(m) = 5*f(m) + 6*q(m). Let g(j) = -236*j**2. What is g(h(y))?\nAnswer: -236*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*q + 6*q. Suppose w + 0 = y + 1, -3*w = 4*y - 17. Solve -3*h + q = -b - y*b, -5*h - 5*b = 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 2*a + 372. Let w(j) = 639*j. What is y(w(m))?\nAnswer: 408321*m**2 + 1278*m + 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (-2*sqrt(117)*5 - sqrt(117)))\/sqrt(9) - (-1 + sqrt(637) + 2)) + 2.\nAnswer: -17*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 2*r - u + 10, 5*r + 5*u + 10 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1700) + (sqrt(1700) - -1*sqrt(1700)) + 0)**2 + sqrt(1700) - (sqrt(1700) - (sqrt(1700) - (sqrt(1700) + -1))**2*3 - sqrt(1700))).\nAnswer: 30*sqrt(17) + 45909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -198 - -370. Let g = a - 112. Calculate the highest common divisor of 30 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.31 - 2.3. Let b = q + 0.29. Let h = 0.152 - -0.748. Sort -0.1, b, h in increasing order.\nAnswer: -0.1, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -363457, -726916, -1090375, -1453834, -1817293?\nAnswer: -2180752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 924923 - 6304349 = -79*n. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 3*s - 2*s)*(-4 + 2 + 0) + 44189*s + 67435217 - 67435217 - 68195*s - 55645*s as g + v*s and give v.\nAnswer: -79647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*t - 23459 = -5747, t = 1. What are the prime factors of d?\nAnswer: 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021158 rounded to four dps?\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 271 + -5?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4127 = -4*q + j, -3*q + 3*j = 1533 - 4635. Is 76 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -934 + 5?\nAnswer: -92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 50\/3*x**2 + 224\/3*x - 392 + 2\/3*x**3 = 0. Calculate x.\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 q, and 2 n when four letters picked without replacement from {q: 5, x: 5, m: 3, n: 5, b: 2}?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3672.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 9 = 3*j - 5*j, 0 = 2*j - 3*l + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2158 + -2163. Let r = 7 + -4. Let v(w) = -w - w + 4 - w**2 - r*w. What is v(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in -5, 0, 0.2, 18058?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/5 - 167397968*i\/5 + 3502759961316128\/5 = 0. What is i?\nAnswer: 41849492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8877770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -438 + 30. Let y = o + -9. Let g = -114 - -177. What is the highest common divisor of y and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7486018195?\nAnswer: 5, 577, 2594807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -1, -15\/17, -4?\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936789889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -7*b - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(255)\/(sqrt(5)*1))\/(sqrt(12)\/sqrt(4)*-1 - sqrt(3))*-4 + -4.\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 68, 293, 670, 1199?\n\"Answer: 76*g**2 - 3*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 9*w - 7. Let t be y(8). Let f = -3\/151 - -468\/755. Which is the nearest to -2\/9? (a) 0 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/(9585\/(-4473) - (-124)\/35).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/2 + 8449*i - 16897\/2 = 0. Calculate i.\nAnswer: 1, 16897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4332*k + 18663 - 10672 - 129287 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 6*u - 9. Let i be t(-5). Let w be 6*(-2)\/i + (-46)\/(-1). Which is bigger: w or -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12221)\/242 + 1242\/23?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:15 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2. Let v(z) be the first derivative of 4*z**3 + 5*z**2\/2 - 110. Determine v(l(t)).\nAnswer: 12*t**4 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(16\/3))**(-43) assuming a is positive.\nAnswer: a**(688\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63298 and 4?\nAnswer: 126596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-4))**(-1\/10)\/(m\/m**(-3\/10)*m**(-12)))**22 assuming m is positive.\nAnswer: m**(1111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/10)\/((-6)\/(-105))*(-59)\/177.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.7619 + -10.7619. Let h = -0.2 - 4.8. Which is the smallest value? (a) m (b) 8 (c) h (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118161452.\nAnswer: 2, 1583, 18661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 4*p - 5. Let v be m(-6). Suppose 7*f = 2*f - v. Let k(o) = o + 8. Let a be k(f). Do -3 and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*24\/(-24)*62.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 497, 474, -4 in descending order.\nAnswer: 497, 474, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 400*d**2 + 3*d + 20*d - 2*d**3 + 6*d - 393*d**2 in the form a + p*d**3 + v*d**2 + i*d and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5550 + -3454. Suppose 4*d - 6*d = -k. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -214620551*f + 17*f**3 + 214620551*f - 155*f**4 - f**2 to the form u*f**3 + q + a*f**2 + c*f**4 + h*f and give c.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.29 + -4.01. What is the third biggest value in 2, 2\/3, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 + 14*n**2 - 10*n**2 - 14 to the form p + h*n**2 + r*n and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 6*j - 12. Factor h**j - 3*h - 2*h**2 + 4 + 0*h**2 - 6.\nAnswer: -(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/71755 and 41\/402.\nAnswer: 28845510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + l = 5*l - 27, -2*z + 9 = l. Which is the biggest value? (a) z (b) 1\/2 (c) -2 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22854 - -22881. Calculate the remainder when 857 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 9:59 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12437 + -124267\/10. What is the common denominator of f and -19\/96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17396711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 - 25*h**3 + 6*h**3 + 2*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 74 - -d?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -26504?\nAnswer: 132520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7225054 divided by -3612527.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224752?\nAnswer: 2, 11, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -333.4 + 333.5. Sort 2\/19, 62, d in decreasing order.\nAnswer: 62, 2\/19, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147 - 136.3. Round m to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a + 38. Determine v(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328007*o - 4*h = -328003*o + 8, -3*h - 3 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (865\/15)\/(4\/20)*9 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2990346 rounded to three decimal places?\nAnswer: -0.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*j + 601*j - 99704 = -384*j for j.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270485401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r + 23. Determine b(-10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6) + 11118\/4. Suppose d = -4*k + 1798 + q, -4*d - 8 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*u - 880, k = 4*u - 3*u - 221. Let o be (u\/(-21) + 2)\/(2\/(-6)). Let a = o - 20. Sort 0, a, 3 in ascending order.\nAnswer: 0, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 97, 278, 475, 694, 941, 1222?\n\"Answer: g**3 + 2*g**2 + 168*g - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4\/5 + 153*f**3\/5 + 107113*f**2\/5 - 20047737*f\/5 - 167154696\/5 = 0.\nAnswer: -337, -8, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 77*m + 889. Is h(15) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -63, -238, -589, -1176?\n\"Answer: -10*j**3 + 2*j**2 + 5*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by 7.\nAnswer: -159\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -371212 (base 12) to base 15\nAnswer: -129bd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 4*q**2 - 9*q + 21. Calculate t(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -10*g + 4. Let y(l) = l**2 + 0 + l + 0*l**2 - 2 + 1. Let m(v) = -d(v) - 4*y(v). What is the second derivative of m(b) wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h*(h*h\/(h*h**29)*h)\/h*h)*h*h**(-2)\/h*(((h*h**(-15))\/h)\/h)**(-2\/7) assuming h is positive.\nAnswer: h**(214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 17*m**2 - 11*m + 20. List the prime factors of z(11).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 2*r - 4*v - 476, -r = 2*v - 119. What is the highest common factor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1892695 divided by 5\nAnswer: -378539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**2 - 4*f + 0 + 1\/6*f**3. Suppose -3*g - 3*t + 2 + 4 = 0, -4*g + 4*t - 8 = 0. Give n(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -692 + 697. What is the third derivative of 1219*j**5 - 2439*j**d - 7*j**3 + 1211*j**5 + 27*j**2 wrt j?\nAnswer: -540*j**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-1*1 + 9 + -14). Determine k so that 3\/2*k**l + 1\/2*k + 1\/2*k**4 + 3\/2*k**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223292851 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 5*o + 1. Let z be p(-4). Let j = -0.1186 - -0.5186. Sort -2\/7, z, j in descending order.\nAnswer: z, j, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 654?\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/15 - w**4\/3 - 244*w**2. Suppose y(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -20*z + 13. What is p(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 8) in base 9?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -37. Let d(l) = -63*l**3 + 2*l**2 - l - 1. Let o be d(j). Let n = o + 67. What is the remainder when 27 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - -44.6.\nAnswer: 63.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*q - 3*t, 2*q = -2*t + 4 - 6. Let d be 25\/((4 + q)*1). Let z = 40 - d. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1020 and 2548360.\nAnswer: 129966360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8*-2 - (-546)\/(-52). Let o(b) = b**3 + 12*b**2 + 20*b + 5. Let m be o(h). Solve -3 + 13 = q + m*x, -3*x = 5*q - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 777 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 51 times 123\nAnswer: 6273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 1560 = 10*o. Suppose -v = -6*v - o. Is v\/(-1) - (-6)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143 or -4?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 38 (b) 470 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (3 - (-3 - (-3 + 0)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 2\/105*m**5 + 11*m**2 + 39\/28*m**4 + 0*m + 0 + 29\/21*m**3. Factor c(d).\nAnswer: 2*(d + 29)*(4*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 38 - 40 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2088531 or 2088403?\nAnswer: 2088403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 177366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-87)\/232 - (2317\/8 + 1). Is p <= -2047\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 7*w**2 + 11*w - 9. Let o be z(8). Let l be (20\/3)\/((-2)\/(-6)). Solve o = -4*r - r, -5*j - 5*r - l = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132830 by 4.\nAnswer: -66415\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5171 is divided by 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7327?\nAnswer: 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16701.5*-9.62.\nAnswer: -160668.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -163, -222, -281?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -575350, -1150943, -1726538, -2302135, -2877734?\n\"Answer: -w**2 - 575590*w + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -127, -208, -305, -424, -571, -752?\n\"Answer: -f**3 - 2*f**2 - 68*f - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10714 times 2.7?\nAnswer: -28927.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28 - 6\/3) + -4. Let p = -43 + k. Let c = p + 57. Calculate the remainder when c is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 w when three letters picked without replacement from {h: 3, l: 1, n: 1, j: 1, w: 5, i: 2}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (30 + -27) - (22 + -21)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 7, f: 1, s: 6, g: 3}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*z + 126 with respect to z.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 23*j**3 + j**2 + 20*j - 69. Calculate o(4).\nAnswer: 1499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 6\/(2 - 0). Suppose 3*x - f + p*f = 52, 4*x - 61 = -3*f. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.8536 months to decades.\nAnswer: 0.62378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20246666977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5611438 + 5611438 + 1936*l - 548*l. Let o(d) = -4*d. Calculate q(o(z)).\nAnswer: -5552*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01561 - -0.18439. Sort -0.2, -7, o in increasing order.\nAnswer: -7, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -781, -1519, -2211, -2857, -3457, -4011?\n\"Answer: 23*s**2 - 807*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 66 = 10. Is -38 not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = -0*j, 5*j + 25 = 5*r. Let g be (1 + 553)*(-5)\/10 + -3. Let s be 4\/(-14)*(g\/15)\/(-8). Which is the third biggest value? (a) r (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -1005*f**4\/4 + 3*f**2\/2 + 1107*f + 4357. Differentiate s(m) wrt m.\nAnswer: -3015*m**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 - 12*p - 13. Give b(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -117 + 210*p + 28 + 51*p - 29. List the prime factors of a(6).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/537370 and 37\/62930.\nAnswer: 116609290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*b*c - 267*b + 4006*c - 6 wrt b.\nAnswer: -79*c - 267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13109.54 nanoseconds?\nAnswer: 0.00001310954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -29. Suppose s*z - 8 = 1. Solve -z*i + 8 = -6*i - 5*y, -i + 5*y + 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863 + 98 = 153*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3015, -13, -5, -335 in descending order.\nAnswer: 0, -5, -13, -335, -3015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5959 - 35617\/6. Let n = -3622 - -18049\/5. Find the common denominator of n and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(1\/6)*j*j)**(-27\/5))**39 assuming j is positive.\nAnswer: j**(-10881\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/9 and 31\/711.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -59*n**3\/6 - 151*n**2\/2 + 200*n. What is the first derivative of q(r) wrt r?\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovfhflllhfolfhlll. Give prob of picking 2 l and 1 h.\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 31. Let k = -4 + 3.8. Let t = g + k. What is the second smallest value in 3, t, -0.6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 475 and 3439?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-170)\/(-12) - 7\/42. Let l = s - 19. Is 4 a factor of (-2)\/l - (-28)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*b - 1 = 3*v + 310*b, 5*b - 25 = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181b (base 13) in base 10?\nAnswer: 3573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.803 - 4.603. Which is the closest to m? (a) 2 (b) 21\/13 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 3 - 2 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(300\/10156) + (-4)\/(-3). Let k = r - 170. Suppose 0 + 6\/5*b + 9\/5*b**2 + k*b**3 = 0. Calculate b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**3 - 14444833*x**2 - 167870720 wrt x?\nAnswer: -6*x**2 - 28889666*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17\/28 - 3\/4. Let f = -143\/5 + 142\/5. Let g = -53\/33 - -14\/11. Which is the closest to 1? (a) f (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 10*u**2 + u - 3. Let j be g(7). Let x = j - 199. Sort 2, x, 12 in decreasing order.\nAnswer: 12, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.5 - -12. Let i = -0.4 + a. Sort 5, i, 0.\nAnswer: i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2109 and 513?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.1 - -29.1. Which is the nearest to g? (a) 1 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxxiu. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 14*p**3 - 4*p**2 - 2*p**3 - 3 as l*p + m + z*p**3 + v*p**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166908 is divided by 13617.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Let x(q) = q**2 - 4*q + 4. Let i be x(2). Solve -2 = h*d - i*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:11 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5 - 332*h**4 - 14104*h**3 - 26896*h**2 = 0. Calculate h.\nAnswer: -82, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -2, 2619, -68, 2 in decreasing order.\nAnswer: 2619, 22, 2, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*h = -44, -h = 3*p + p + 88. Let t be p\/(-10) - (-8)\/(-40). Let x be 1 - (4 - 2 - 5). Solve 3*k = -t - x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -26*s + 107. Let g be i(-8). Let p = 333 - g. What is the lowest common multiple of 190 and p?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 36*v**2 - 63*v - 174. Let l be q(-3). Which is the nearest to 0.1? (a) l (b) 2\/7 (c) 1\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**3\/5 - 26082*b**2\/5 + 156399*b\/5 - 26064 = 0.\nAnswer: 1, 5, 8688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025884531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 9 + 10*q + 17 + 3*q**2 + 3*q**2 + 25*q. Calculate the common denominator of 101\/8 and x(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/((15\/(-9))\/(2\/(-21))).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100010 + -221122?\nAnswer: -1021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090453517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 1779846\nAnswer: -711938.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -246, -2, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 0.1, -0.7, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -88. Suppose -5*g + 0*p + p = -1781, -3*g + a*p = -1055. What are the prime factors of g?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/(-8))\/((-22)\/8). Let k be 0 + 2 - (61 - 59). Is z not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + h + 17 = 0, -23 = 2*l + l + 4*h. Let p(u) = -u**2 - 6*u - 3. Let d be p(l). Differentiate 0*i**2 - i**2 + 0*i**2 - d wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 248826615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.009843 and -37.\nAnswer: -36.990157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.17 - 4.94. Let m = 2.77 + -3. Let c = m + d. Do c and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50693\/1485 + -716\/27. Let x = o + -75\/11. Let l = 3 - 2. Which is the second smallest value? (a) l (b) x (c) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 3732579.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.023 * 24.\nAnswer: 0.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-49) - (-62)\/14. Suppose -3*i - d*n + 15 = 0, 15 = 3*i + n - 0*n. Suppose 2*y - 25 = -3*y, 3*y = -i*k + 295. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = 3*l, -5 - 18 = -2*x - 5*l. Let j = 1 - x. Solve j = -3*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6762, 4, 2.\nAnswer: -2, 2, 4, 6762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 461*k + 329*k - 2 + 2 - 92*k to the form f + w*k and give w.\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 25. Let g(x) = 2*x**2 + 8*x + 10. Is 23 a factor of g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(2\/(-4) - (-7)\/10). Let o = 1\/55 + j. Which is the third biggest value? (a) 3 (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -63?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16441054, 32882125, 49323220, 65764351, 82205530, 98646769, 115088080?\nAnswer: 131529475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 12*p - 629. Are 38 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-28)*-52 - 75\/175 - 156. What is the second biggest value in 4, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1, -2185.174?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wixbbcoc. What is prob of picking 1 b and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3605 divided by 5.\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q = 36*q + 16*q - 260 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61352 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3675*s**3 + 573090*s**2 + 32757*s + 468.\nAnswer: -3*(s - 156)*(35*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q**3 + 432*q**2 - 6*q - 329. Let x be d(-54). Sort -4723, -2, x.\nAnswer: -4723, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, f: 4, u: 6}. Give prob of picking 1 u and 1 m.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from bbwwwwuqbw?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i + 36*i**3 - 1445 + 53*i**3 + 1445.\nAnswer: 89*i**3 + 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + d + 4. Determine u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -555684900 to the nearest 1000000.\nAnswer: -556000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 626936 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*t**2 + 8*t**2 + 19 + 4*t**2 - 78*t**2.\nAnswer: 3*t**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 2. Let p(b) = -6*b + 15. Give 45*i(n) + 6*p(n).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -3, 4, 16, -22 in decreasing order.\nAnswer: 33, 16, 4, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/7 - (-624)\/91. Suppose 3*l = -5*t + 71, 0 = 2*l + 2*t - 61 + k. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1344045262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 9 - 4 + 11*c - 6 - 10.\nAnswer: 11*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 = -29. Let n(k) = -k**2 - 7*k + 10. Let o be n(y). Suppose -11300 = -3*s + o*s. Round s to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106624 divided by 1568.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (69\/(-5))\/(205\/(-25) + 8)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, z: 3, t: 1, i: 1, c: 1, q: 6}. Give prob of sequence qc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 1068 - 3597 - 4613 + 249 in the form k*q + g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + 32?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -24. Suppose 3 = s, -2*c - 3*s + r = -4*s. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 869 = -43*w + 2933. Let h be (-1099)\/(-35) - (-6)\/10. What is the highest common divisor of h and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1926 + 7?\nAnswer: -191d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7928967.\nAnswer: 3, 1129, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-40)*(-135)\/(-24)*(-4)\/3?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.63 - 0.37. Let f = 17.3 + c. Is f at least as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -19. Which is the third smallest value? (a) 1\/2 (b) l (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 290 + -458. Let m = 139 + f. What is the nearest to m in 2\/3, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69703*s + 35090*s - 2*s**2 + 34510*s.\nAnswer: -2*s**2 - 103*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6348 is divided by 454?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let o be 12\/20 - (0 - (-14)\/(-10)). Let c(y) = 93*y**2 + 81*y**2 - 190*y**o. What is i(c(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, 2\/3, -4, 1666, 5 in decreasing order.\nAnswer: 1666, 5, 1, 2\/3, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 8:44 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -24, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -16*c**2 + 3600*c - 3612. Let n(x) = 19*x**2 - 3600*x + 3616. Let i(a) = 5*g(a) + 4*n(a). Factor i(u).\nAnswer: -4*(u - 899)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -730*c - 885*c + 1556*c. Let v(g) = -33*g**2. Calculate v(m(r)).\nAnswer: -114873*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 207714 - -55?\nAnswer: 207771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -648862, -1297755, -1946638, -2595511, -3244374?\nAnswer: -3893227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 1 = 56. Suppose 6*w - 7*w - i = q, q - 5*w = 25. Solve 0 = s - 0*s - 4*c + 6, 2*c - 4 = q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 314692650 to the nearest one million.\nAnswer: 315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 20, 134, 36 in decreasing order.\nAnswer: 134, 36, 20, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17439, -17109, -16779, -16449, -16119?\n\"Answer: 330*m - 17769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*n + d + 2, -2*n = d - 15. Suppose n*f - 14 = -4. Find the second derivative of -y**3 - f*y + 2*y + 2*y wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3))**(13\/2))**9*(j\/(j\/(j*j*j**2*j*j*j*j*j)))\/j**(-2\/7)*((j\/(j*j**2*j))\/j)\/((j\/((j\/j**(-1\/3))\/j))\/j*j*j) assuming j is positive.\nAnswer: j**(-743\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1863 divide 44618850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, 3, 0.08, 2511?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 416 = -1528. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 1719.\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5. What is the biggest value in 63, -4, c?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + -1 + (sqrt(125) - (-6*(-2 + sqrt(125)) - sqrt(125)) - sqrt(125)))*-2)**2.\nAnswer: -13440*sqrt(5) + 100304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 138*-0.4\nAnswer: -55.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 123693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3647 and -0.3?\nAnswer: -1094.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**5\/30 - 47*p**4\/12 + 46*p**3\/3 + 91*p**2 + 67. Let b(t) be the second derivative of j(t). Suppose b(m) = 0. What is m?\nAnswer: 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3577, 3215, 2621, 1801, 761, -493?\nAnswer: -1955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 3463.\nAnswer: -1038.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -133401 (base 7) in base 2?\nAnswer: -110001010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 14. Let c be w(6). Let v(q) = -2 + q**c - 2*q + 0 + 0*q + q. Let n(m) = m**3 + 6*m**2 + 5*m - 3. Let b be n(-5). Calculate v(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvj when three letters picked without replacement from cvvjbcbbjbbb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/528528 and -121\/1344?\nAnswer: 2114112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3130132 - 323223?\nAnswer: -10120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 200, 1963, 5064, 9503, 15280, 22395, 30848?\n\"Answer: 669*m**2 - 244*m - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3\/4 - 40*q**2 + 253*q + 664 = 0?\nAnswer: -166, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 454, 22, 5, 14 in descending order.\nAnswer: 454, 22, 14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5*h - 704, -2*z + 71 = -3*h - 1285. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 1\/6, 2\/5, 0.05, -3\/25, 1\/2 in descending order.\nAnswer: 84, 1\/2, 2\/5, 1\/6, 0.05, -3\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 20058263900 to the nearest one million.\nAnswer: 20058000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/2)\/i)**(-10\/7)\/(i*i**(2\/5))**(-9\/5)*(i\/i**(-1\/7))\/i**(2\/7)*((i*i**(-2))\/i)\/i**3 assuming i is positive.\nAnswer: i**(-159\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -34. Which is smaller: t or -4\/51?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/12929897 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19627 and -4128.\nAnswer: -81020256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5\/9 - 10*y**4\/3 - 46*y**3\/9 + 86*y**2\/9 + 32*y\/3 - 104\/9 = 0.\nAnswer: -13, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/15114 and 29\/556.\nAnswer: 4201692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20429\/1335595 + -13\/1769. Is 1 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.91878 centimeters to kilometers.\nAnswer: 0.0000291878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjdj when four letters picked without replacement from {p: 5, f: 1, j: 6, d: 5}?\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45038702 divided by -2370458?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13226716 is divided by 416.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22330 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6010, 12012, 18014, 24016?\nAnswer: 30018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10729*g**3 - 8955*g**3 + 14605*g**3.\nAnswer: 16379*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/((-15)\/50).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 278681603 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/7590 and 34\/11385.\nAnswer: 22770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 3:34 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(-36)\/24 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062026?\nAnswer: 2, 3, 97, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 6*j**2 + 8 - 5*j + 0*j + 4*j**2. What are the prime factors of q(7)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458*t - 484*t = -2054. Sort 2, 3, -4, t.\nAnswer: -4, 2, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*1 + 5 + (2 + sqrt(26)\/sqrt(2))**2.\nAnswer: 5*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466041027?\nAnswer: 3, 155347009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 268*n**2 - 5184*n - 747. Calculate y(247).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 28\/3361 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24816164279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**5\/20 + 2*b**4\/3 - 3*b**3\/2 + 9*b**2\/2 + b. Let s be i(6). Suppose -s - 37 = -4*j. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/13*(-2)\/12*-9. Which is the biggest value? (a) 4 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/1 + 3 - 1. Suppose p = -5*d + 47 + 38. Solve -5 = -3*y - d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 15, 53, 111, 195, 311, 465, 663?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 6*q**2 + 7*q - 20. Let t(g) = -258*g - 1284. Let c be t(-5). Determine w(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5261039.\nAnswer: 7, 47, 15991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.12 < -4586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 2*o = -3*j - 39 + 33, j - o = -1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13332 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2602758 divided by 433793\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 31*b + 94.\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 5*v**2 + 5*v - 2. Let s be p(4). Suppose 5 - 3 = 2*d. Which is bigger: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 72 = 3*c, -7465*o + 3736*o + 77 = -3728*o - 5*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(6)\/sqrt(8) + sqrt(3) + sqrt(48)*3.\nAnswer: 29*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-7))\/(31\/9114*28).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*3\/(-6))\/((-4)\/(-28)). Solve 5*k = y*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (0 + 30)\/(32\/40*(-45)\/(-36)) and 2175.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)\/r**(-9))**(-6\/19)\/((((r*r**(-2))\/r)\/(r\/(r*r\/(r*r\/(r*r**(2\/3)))*r)))\/((r*r*r\/(r*r\/r**1))\/(r**(3\/2)\/r))) assuming r is positive.\nAnswer: r**(-53\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g + 9. Let u(r) = -5*r - 8. Let l(v) = v. Let m(j) = 2*l(j) - u(j). Calculate 5*c(f) - 6*m(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 61*m**5\/20 - m**4\/4 + m**3\/6 + m**2\/2 + 8238*m. Give k(1).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12 = j, c - 2*c = 3*j - 16. Let g(l) = 32 + j*l**2 + 15*l - l**2 - 2*l**2 + 18. Is g(-15) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6575762 to the power of 1\/2, to the nearest integer?\nAnswer: 2564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 205*c*d**3 + 2*c*r + 55*d**3*r - 3*r wrt c.\nAnswer: 205*d**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34154 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1894197773 to the nearest integer?\nAnswer: 43522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 + 22. What are the prime factors of b?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5721 divided by 5721?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -1\/5, -648, -93 in decreasing order.\nAnswer: 34, -1\/5, -93, -648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 122*s + 1610. Give r(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 456390859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**3 - 10*u + 8*u + 2*u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64973, 129742, 194523, 259322, 324145, 388998, 453887?\nAnswer: 518818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3 - 7\/9*c - 1\/9*c**3 + 5\/9*c**2 = 0. What is c?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -234.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/a*a)**(31\/3)\/(a**1)**(-4\/27) assuming a is positive.\nAnswer: a**(-833\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2 + 10*r + 19. Let b be d(3). Sort -0.4, b, 0.9, -3.\nAnswer: -3, -0.4, 0.9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:18 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17500 and 345.\nAnswer: 1207500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(2\/20*-1). Solve 4*k = -k - p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2. Let j(a) = 5123*a - 3469. Determine j(l(s)).\nAnswer: -10246*s**2 - 3469","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**3 - 175*d**2 + 865*d + 1.\nAnswer: 24*d - 350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 2380.9.\nAnswer: -9523.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 5. Suppose 2 = -4*f + 26. Let z(c) = -7 + 2*c + 0*c + 13. Give f*z(m) - 7*o(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 77482816871.\nAnswer: -77482816874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 124466186 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a - 15. Find the first derivative of -3 + 14*t**a - 5*t**3 - 8*t**3 wrt t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, 0, 3\/5, 19?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.036 + 0.036. Let v = 13 - 13.6. What is the smallest value in b, 2, 5, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h = -97. Let b(i) = i**3 - 11*i**2 - 14*i - 4. Let c be b(13). Let n = c - h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.232 less than -0.08?\nAnswer: -0.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -152*w - 4. Let h(m) = 305*m + 10. Give -3*h(z) - 7*i(z).\nAnswer: 149*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**9\/10584 - r**8\/2940 + r**6\/630 + r**5\/420 - 2*r**3\/3 + 5*r. Let c(m) be the second derivative of p(m). Factor c(t).\nAnswer: -2*t*(t - 1)*(t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/6, -1 in decreasing order.\nAnswer: -1\/6, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124230 (base 5) to base 16.\nAnswer: -134c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4 - -2) - (-48 + 37) - 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102816 and 2130912?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222490?\nAnswer: 2, 5, 19, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-196 + 196 - 217*m)*(0*m - 5*m + m).\nAnswer: 868*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -45, 0, 538.\nAnswer: -45, -3, -2, 0, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 25 = -5*t, -b = 5*t + b + 25. Let w be (5 + -4)\/((-1)\/t). Let r be (-6 - -1)*(-4)\/5. Solve 0 = w*j - 14 + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*y**2 + 2 + 0*y**2)*(0 + 0 + y + (2 - 4 + 0)*(0*y + 3*y - 4*y) - 3*y - y + 5*y - 5*y + y + 5*y).\nAnswer: -10*y**3 + 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1813189888 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*m - 180*m + 13*m in the form o*m + q and give o.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5264261410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = a + 348 + 281, 0 = 5*v + 4*a - 1054. Suppose -2*m + q + q = -v, 4*m = -4*q + 460. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315847 is divided by 19565.\nAnswer: 2807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -33. Let n = 382\/5 - 76. Factor 1\/5*w + 0 - n*w**r + 1\/5*w**3.\nAnswer: w*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b - 3. Let l(o) be the first derivative of -13*o**2\/2 + 8*o - 6. Let s(x) = 3*l(x) + 8*t(x). Let c(q) = -2*q. Determine s(c(j)).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 5*g - 2*s - 23, s - 5 = -g. Sort 8, g, 1.\nAnswer: 1, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -21. What is the remainder when 23 is divided by 13\/(-2)*(j - 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 689 - 3a?\nAnswer: 64b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*a + 2017 + 465 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezuvbuzubeebueeuuu. What is prob of sequence uv?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 361\nAnswer: -72.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let i(z) = 1 + 3*z + 2*z - 9 - 2*z. Let d(n) = -n + 3. Let u(j) = -8*d(j) - 3*i(j). What is h(u(r))?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17\/22 - -3\/11. Which is the closest to d? (a) 18 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -h - 2*k, -h + 29*k - 30*k = 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3613074 is divided by 722610?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6162732.59 less than -123514?\nAnswer: -6286246.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*s**2 - 48*s = 0.\nAnswer: -12\/29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, z: 3}. Give prob of sequence zzgz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l**2 - 31*l + 4. Let f(t) = -4*t**2 - 16*t + 2. Suppose 0 = -4*n + 13 - 1. Let x(a) = n*o(a) - 5*f(a). What is the tens digit of x(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700.3249t to nanograms.\nAnswer: 700324900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 5177?\nAnswer: -4\/5177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21060 and 210600?\nAnswer: 210600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110806433.\nAnswer: 23, 1709, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -288 + 505. Suppose -2*h + 159 = 5*k - 0*k, 0 = 4*k + 2*h - 128. Calculate the greatest common factor of o and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -20. Suppose 35 - x = 9*j. Solve -2*c + 1 = j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94\/185 + 4\/37. Let k = 0.2 + -0.1. Let s be 1 + 22\/(-18) - (-133)\/342. Which is the nearest to k? (a) -0.5 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f**(-2\/5))\/(f*f\/(f*f**(-1)*f)*f)**(-3\/8) assuming f is positive.\nAnswer: f**(67\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -824 + 1384. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/7, -0.3, -33.3974, -0.2, -5?\nAnswer: -33.3974","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/26)*o)\/(o*o*o**(13\/2)\/o*o*o) assuming o is positive.\nAnswer: o**(-110\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*k + 22, 3*t - 166*k = -168*k + 12. Let a(f) be the first derivative of 7*f - 10 + 2\/3*f**3 + 0*f**t. Differentiate a(n) wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 - 97.11. Which is the third biggest value? (a) w (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3160*h*v**4*x - 2*h*v**2 + h*x + 15*h + 4*v**4*x + 2*v**4 wrt v?\nAnswer: 75840*h*v*x + 96*v*x + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11b7 + 23?\nAnswer: 121a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 8*f - 2*f + f. Let t(p) = 5 - 2 + 14*p - 9*p. Let s(w) = 60*w + 35. Let y(b) = 3*s(b) - 35*t(b). Give n(y(v)).\nAnswer: -35*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + k = -1, 5*p = 5*k + 5 - 0. Suppose -16 = -p*j - 2*j - 5*v, -j - v + 5 = 0. Solve 2*o = j*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 11 = 3*v - 0*y, 5*y = -5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**3 - 30*y**2 + 13*y - 49. Determine t(8).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (15 + -23 + 46 + -41)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z - 13. Let u(s) = 3*s - 7. Let x(m) = 4*k(m) - 7*u(m). Let t(l) = -10*l + 106. Let o be t(11). What is x(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.33, -54, -9, 1\/4, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3539*j = -3542*j + 11, 0 = -v + j - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227176532?\nAnswer: 2, 11, 131, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4 - 15342*l**3 - 928701*l**2 - 13548264*l - 12634908 = 0. Calculate l.\nAnswer: -37, -22, -1, 5174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -1, 35, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 103926 and -0.12.\nAnswer: 103925.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (68\/8 - 9)*(-2 + -156). Suppose -q = -3*a + 89. Let z(s) = -19*s. What is the remainder when a is divided by z(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -261*l**3 + 117*l**2 + 81745 wrt l.\nAnswer: -783*l**2 + 234*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 267 in 1\/121, -2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11605956 and 11748?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 13 - 4. Let s = h + -11. What is the units digit of (-1)\/s - (-564)\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6522 + -654?\nAnswer: 5535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 8. What is the tens digit of (d + -26)*(-20)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450\/20*2\/2*(-188)\/(-4700)\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d = -22*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 64 = v - 15, 5*i - 5*v - 110 = 0. Suppose i = 13*q - 25. Suppose q*z - 1205 = -489. What are the prime factors of z?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {t: 2, p: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23451666 divided by -6.\nAnswer: -3908611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -8*x**3\/3 - 4967*x. Let o(h) = -8*h. Calculate -4*n(j) + 9*o(j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1344\/(-63))\/(2 - -153) and 13\/12.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 55.5233717?\nAnswer: -57.5233717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7)\/w**(2\/5)*(w\/(w*w**(-1)))**(-33) assuming w is positive.\nAnswer: w**(-202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/10 - 69*b**4\/2 + 347*b**3\/10 + 69*b**2\/2 - 173*b\/5 = 0.\nAnswer: -346, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-128))\/((-1)\/3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from ckii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r - 3. Let p be k(3). Suppose 0 = -j + 2*i + 3, 4*j - i = 8 + 11. Is 2 a factor of p\/5 + j + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -688665 - -276?\nAnswer: -68839a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.24 + -1.76. Let p = c + 17.6. What is the closest to 2 in 5, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khk when three letters picked without replacement from gkggkhhgkkkck.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1026?\nAnswer: -102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3 + 14*r - 12*r - 9*r + 2*r**2. What are the prime factors of i(7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(((x**(-5\/7)*x)\/x)\/x)*x*x**(-2\/9)*(x**(-2\/55)*x)\/(x**25\/x) assuming x is positive.\nAnswer: x**(-67721\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000061818737 rounded to six dps?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u**3 - 2*u**3 + u**3)*(2 + 1 - 5) + 3*u**2 + u**3 - 3*u**2 + 2*u - 2*u**3 - 2*u)*(-3*u + u + 4*u).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, -5, 5, -2, -134, 10 in descending order.\nAnswer: 10, 8, 5, 3, -2, -5, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 7. Let r be 2 + (-8)\/n + -2. Suppose r*o + o - 35 = 0. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 738*x - 281 wrt x.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13590396 is divided by 134.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755486911.\nAnswer: 19, 23, 137, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 4, -1457, 0, -0.2 in decreasing order.\nAnswer: 4, 0, -0.2, -0.3, -1457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -404441420001 + 4?\nAnswer: -404441414442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*g - 5. Suppose 2*h + 5 = 15. Suppose 15 = -h*m - 10. Sort m, g, -1 in descending order.\nAnswer: g, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 319*g**2 + 70*g**2 + 90*g**2 + (-2 - 2*g + 2)*(2*g - 6*g + 3*g).\nAnswer: 481*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -121*x - 55. Is b(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 6*g + 2*a, 4*a = 20. Let j = 0 + 2. Suppose j*r + 0 = 2. Calculate the remainder when g is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 508 or 1520\/3?\nAnswer: 1520\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((-50)\/1700)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -751929, -751911, -751893, -751875, -751857, -751839?\n\"Answer: 18*i - 751947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5067*((-10)\/(-25))\/(12\/10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/12227000 and -61\/184?\nAnswer: 281221000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 3. Let o(z) = 272*z + 144. Let k(l) = 21*l + 11. Let a(d) = -64*k(d) + 5*o(d). Suppose 11 - 76 = -5*c. Let s = c - 11. Give s*a(x) + 11*r(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/3, 41, -54.\nAnswer: -54, 19\/3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-874))\/((-5)\/10)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -124129.\nAnswer: -124128.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14266 is divided by 1991?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.368 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000201 - 112112202?\nAnswer: -111112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**6\/9 + 6*j**5\/5 + 25*j**4\/6 - 50*j**3\/9 - 28*j**2 - 88*j\/3 + 771. Let s(b) = 0. Calculate b.\nAnswer: -2, -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a**4 + 19*a**4 - 1 - 15*a**3 - 2*a - 4*a**4 in the form m*a + w*a**2 + h + n*a**4 + i*a**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 15*w**2 - 2*w - 11. Let p(y) = -y**2 + 2. Let v(t) = g(t) + 6*p(t). Let a = -7 - -4. What is the units digit of v(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*g**3*i*p**3 - 4*g**3*p**2 - 69*g**3*p - 2*g*i*p**2 + 7*i*p**3 wrt p.\nAnswer: -318*g**3*i + 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000568 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 + 5. Let o(x) be the first derivative of x**2 - 54. Give o(f(k)).\nAnswer: -8*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -40, 18 in increasing order.\nAnswer: -40, -21, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 48 + 3 = 0. Suppose -60 = -8*h + r*h. What is the remainder when 33 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1778 + -1781)*4\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - j + (12 - 4 + 0)*(0*j + 3*j - 4*j).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**9\/k)\/k)\/(k*k**(7\/5))*(k*k**6\/k*k)**10)**17 assuming k is positive.\nAnswer: k**(6341\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 52. What is the first derivative of -v - 146*z + 16*z**3 + 146*z wrt z?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1049*m + 2085. Determine c(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 44\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 796 + -508. Let v be 4\/(-14) - p\/(-28). What is the greatest common factor of v and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 + -1 + 17 + 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 953235594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.114 - 137.114. Let j = -136.9999952 - q. What is j rounded to seven decimal places?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 7*r**2 + 147*r - 1715\/3.\nAnswer: -(r - 7)**2*(r + 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/1433334 and 19\/15664293?\nAnswer: 219300102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 15. Let g(i) = 2*i**3 - i - 76. Determine -11*f(n) - 2*g(n).\nAnswer: -4*n**3 + 2*n - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6515 + -7629. Is -1111 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 98*b + 131*b**2 + 121*b - 132*b**2)*(2 - 2 - b) + 0*b**3 - 2*b**3 + 4*b**3.\nAnswer: 3*b**3 - 23*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*h + 166353 = -27*h - 14659. Which is bigger: h or 13926?\nAnswer: 13926","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 15 (b) -2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-88)\/12*18\/(-1). Let h = c - 80. Calculate the greatest common factor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -297 + 2*y - y - 9*y - 71 - 5*y. Give b(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71)\/(138237\/(-944))*3\/8.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 2219 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4503?\nAnswer: 3, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -s - 0*t + 55, 4*s - 5*t = 223. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97*m + 13*m - 5802 + 5806)*(2*m + m - 2*m).\nAnswer: -84*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 7*r - 4. Let f be z(6). Solve 0 = -f*l + 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-5437 - (-5)\/3*-3). What is the third derivative of 5445*v**5 - u*v**5 - 3*v**4 + 21*v**2 + 3*v + 0*v wrt v?\nAnswer: -60*v**2 - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 3*n + 20*n**2 - 21*n**2 + 2. Let w be y(0). Solve -4*c + 21 = q, w*c + 2*q - 22 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -13)\/(3 - 4) + -1. Let n be ((-42)\/l)\/(8\/(-20)). Let a = n - -19. Calculate the least common multiple of 6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/327 and (-280)\/(-1224)*15 - 2.\nAnswer: 5559","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 332*w + 18160. Is j(-199) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10461.9709 + -10461. Round q to 2 decimal places.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = 4. Put 3, 0, g, 5 in decreasing order.\nAnswer: 5, 3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + -1)*636\/(-4664). Factor -2\/11*j**2 - d*j - 4\/11.\nAnswer: -2*(j + 1)*(j + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -87. Let i be (-2 - -22)\/(z\/(-6)). What is the greatest common factor of 6 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 108.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -11*u + 33948. List the prime factors of u.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 - 3*t**2\/4 + 9*t\/4 - 5\/4.\nAnswer: -(t - 1)**2*(t + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**5 - 88*l**4\/5 - 252*l**3\/5 - 256*l**2\/5 - 58*l\/5 + 24\/5 = 0.\nAnswer: -4, -3, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pfgppggffggpfgfg.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -198*a + 240 + 330. Solve 0 = 5*l + x + 3, -5*x + a = l - 6*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.118, 5, 2\/11, 1\/120, 62\/7?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 6*u + 2. Let y be w(6). Suppose -r = f + f - 15, -y*r + 20 = 2*f. Let k = 5 + 5. Solve -v - k = -f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.4815231 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*r - 11, 2*r = 3*a - 3*r - 20. Let c(m) = 2*m - 5. Let q be c(a). Suppose 0 = 4*z - q*h - 103, 0 = 2*h - 3*h - 3. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25697 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 658 = 42*a - 35*a. Let j = a - 89. Suppose 3*m = q - 2307003, 0 = -3*m + j*q - 787842 - 1519173. What is m rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3508, 1\/3, -0.4, 3, -5, 10 in ascending order.\nAnswer: -5, -0.4, 1\/3, 0.3508, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420259791*-4.\nAnswer: 1681039164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = w - 5*w. Let d be (10\/(-4))\/((-3)\/w). Suppose b = -0*b + 5*x + d, -3*x = -4*b + 134. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 3. Let h = g + -6. Let d(o) = -o**3 - 6*o**2 + 42*o + 25. Let l be d(-10). Which is the second biggest value? (a) 1 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16720\/57 - 1\/3. Let s = -88 + y. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 365 + -56. Suppose -825 = -7*p + y. What is the remainder when p is divided by 4\/(-14) + (-932)\/(-28)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9850226.\nAnswer: 2, 683, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*o**3 - 158*o**2 - 2 + 317*o**2 + 4 - 159*o**2 to the form b*o**3 + s*o**2 + m*o + x and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -713 + 712.8. Let l = -46\/7 - -244\/35. What is the fourth biggest value in j, l, 2\/11, 3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n - 8. Let j(w) = -11*w + 23. Determine -6*j(a) - 17*t(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, t: 1, u: 5}. Give prob of sequence xxu.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/842091 less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266956929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsssst. What is prob of sequence tss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*y**3 - 16*y + 1 + 19*y + 6*y - 5*y**3 with respect to y.\nAnswer: -6*y**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (6 + 8 + (-8 - -10 - 21)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9)**(-1\/26)*u**9*u**(1\/17) assuming u is positive.\nAnswer: u**(3851\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + -5 + (6*(1 + sqrt(891)) - sqrt(891))*6*-2 + 5.\nAnswer: -540*sqrt(11) - 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2104323 (base 7) to base 5\nAnswer: -31104031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 312 = 3*n. Is n a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*t - 98*t + 28*t + 2*t to the form m + f*t and give f.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 8. Let u(l) = -4. Let f(a) = g(a) - 2*u(a). Let m(o) = o**2 - 81*o. What is m(f(h))?\nAnswer: h**2 - 81*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 8 - (2 - 1). Solve p*v - 4*c = -10, -v - 5*c = 3*v + 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/15))**(-21)*h*h*h\/(h\/(h**0*h*h))*h\/(h\/(((h\/((h**(7\/2)*h)\/h))\/h)\/h)*h*h) assuming h is positive.\nAnswer: h**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 107, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4473*w**3*x**2*z**3 - 2*w**3*x*z**3 + 2*w**2*x**2 + 4*w**2*z**2 - x**2*z + 3*z**3 - 15 wrt w.\nAnswer: 26838*x**2*z**3 - 12*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95.7 + -94.7. Is u >= 106.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.67, 0.1, 0.27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10164 divided by 847?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000773232 to 6 dps.\nAnswer: 0.000773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*y**4 - 27546*y**3 + 2679339*y**2 - 27467892*y + 59027292 = 0. Calculate y.\nAnswer: 3, 207\/25, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(1\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -390*s - 536*s + 1676*s - 122*s to l*s + c and give l.\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + g + 1. Let k be m(-2). Suppose -3 = -3*t + k. Suppose -t*x - 10 = 0, -4*v + v = -3*x - 84. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8348\/115257 + 5\/1119. Let s = 683\/2472 + i. Is 3 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 3:44 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + (-2 - -7) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**4 + 3*n**3 - n**2 + 3*n - 1. Let r(z) = -5*z**4 - 8*z**3 + 2*z**2 - 8*z + 3. Let i(q) = -8*o(q) - 3*r(q). Determine b so that i(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545752?\nAnswer: 2, 68219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*g + d + 2*d, 13 = g - 3*d. Let a(y) = -3*y - 2. Calculate a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 + 74.99. Let z = 11 + j. Put 2\/3, 0.4, z in descending order.\nAnswer: 2\/3, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 42 = -0. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*v + 1 = 5*t, 2*t - 2*v = 18. Suppose t*a = -z + 419, -a - 2*a = -3*z - 318. Let o be (a\/10)\/(4 + -1). Are 3 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -319.915.\nAnswer: -317.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -348*n**4 + 903*n**2 wrt n.\nAnswer: -8352*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7408767 to 3 dps.\nAnswer: 0.741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1 (c) -0.034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*k**2)*(100 + 61 + 20) + 4*k**2 - k**2 - k**2.\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -3, 1, 7200 in decreasing order.\nAnswer: 7200, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -2. Suppose w + 28 = y*w. What is the remainder when w is divided by 3 - (-1 - -1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1692053 and 167530?\nAnswer: 16920530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9) + 10507\/(-711) - -33?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 1, x: 7}. What is prob of picking 2 x?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200837004 by -778438.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1229.90764 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3411.918 + 62.818. Round y to the nearest ten.\nAnswer: -3350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 8, x: 3, p: 2}. Give prob of sequence fz.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*k - 164 = 0, -2*k = -5*z - 62 + 265. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 - 10*v - 5. Let z(u) = -3*u**2 - 9*u - 4. Let i(l) = 6*x(l) - 7*z(l). List the prime factors of i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}