diff --git "a/data/dm_maths/full_data_1/2044_11255.jsonl" "b/data/dm_maths/full_data_1/2044_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2044_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n(j) = 762*j**2 - 2*j - 5. Let z be n(-4). Is (1\/(-2) - 1) + z\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obzzzosbozbbooobzzbo. What is prob of picking 2 o and 1 s?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -11421853 and -1.\nAnswer: -11421854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*k - k. Let y = 454.2 + -450.2. Sort -17, y, k in descending order.\nAnswer: y, k, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271, 304, 359, 436, 535, 656, 799?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + r**2 + 6. Suppose -2*v + v - 3 = 0. Let p = v - -3. What is the units digit of x(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 0*d**3 - 4*d**2 + 0*d + 6 - 3*d. What is the tens digit of z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 22. Suppose -2*f = f + v + q, -4*v - 16 = 0. Is 5 + (-1 - f) + 628 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.0886261 and -11149099.\nAnswer: -11149097.9113739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 + 3*w**3 + 3*w**3 - 2*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.272281 * -1.6\nAnswer: 2.0356496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**7\/945 + k**6\/54 - 7*k**5\/90 + 4993*k**2. Factor i(b).\nAnswer: -2*b**2*(b - 7)*(b - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120980 times -643?\nAnswer: -77790140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -681587.447 rounded to the nearest 100?\nAnswer: -681600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143032909\/14 + -10211169. Let l = 5462 - o. What is the common denominator of l and -38\/91?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 51 - (59 + -54 + -17)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Let f = -49\/22 - -673\/396. Let s = f + 1\/36. Which is the second smallest value? (a) r (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17687425?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 1. Let y(h) = -1. Suppose 10*i = i + 45. Suppose 0 = -i*b + 194 - 209. Determine b*y(x) - j(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 2*k**2 - 14*k - 16. Let a(n) = -2*n**3 + 2*n**2 + 29*n + 33. Let c(b) = -4*a(b) - 9*j(b). Give c(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410, -846, -1258, -1640, -1986, -2290?\nAnswer: -2546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541911913.\nAnswer: 691, 784243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7969901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*b**2 - 1043*b**2 - 725*b**2 - 469*b**2.\nAnswer: -1974*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-247)\/(-171) - 15)*1\/(-212) and -61\/30.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (1*sqrt(1216) - sqrt(1216)))**2 - sqrt(1216))*-1.\nAnswer: -1 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001007 to 7 dps.\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 155061340 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3*c = 4*c - 3, -4*c - 20 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -124.9, -7, 10?\nAnswer: -124.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r**2 + r**2 + 3*r**2 + (r**2 - r**2 - 2*r**2)*(-2 + 4 + 6).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 8*k - 8. Suppose -2*v = -k*b - 6*v - 24, -12 = -4*v. Let d(y) = -y**3 - 8*y**2 + 10*y - 8. Calculate d(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 181 = -3*d - 1442, -1249 = -2*v - d. What is the remainder when v is divided by 69?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u*u*u**(-1\/9))\/u)*u**16*u)**(-31\/2) assuming u is positive.\nAnswer: u**(-5053\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 1:01 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9990800 divided by 99908.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1005 divided by 154.\nAnswer: 1005\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1614162?\nAnswer: 2, 3, 11, 37, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 5\/((-5)\/(-11)). Let v(x) = -2796 - j*x**2 + 2796. Let y(k) be the first derivative of -k**3\/3 + 1. Give v(y(g)).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152984263 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 77*x + 1. Let c be (20\/(-8))\/((-2)\/(-4)). Calculate the remainder when l(1) is divided by 4 + (11 - c\/(-1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10024*n**4 + 2*n**3 - 9*n**2 - 2650*n + 1.\nAnswer: -240576*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*c - 2, 0 = -c - 3*c - x + 10. Suppose -15 = -8*a + 3*a, 2*p + 3*a - 19 = 0. Suppose -7 = -c*l + p. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -r + 8, -t = -2*r + 5254 - 5277 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*((sqrt(336)\/sqrt(8) + sqrt(42))*-3)\/(sqrt(216)*1)*5)**2*-3.\nAnswer: -170100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78350211 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229905*v**3 + 9102*v**2 - 3*v wrt v.\nAnswer: 1379430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -68952 (base 12) in base 10?\nAnswer: -139598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 less than 82066.6311?\nAnswer: 82066.5611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 22.6. What is the third smallest value in -4, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(55)\/sqrt(5) - sqrt(121)\/sqrt(99)) + 3)**2.\nAnswer: 20*sqrt(11)\/3 + 269\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 + -0.02. Let j = -493 - -488. Which is the closest to 6? (a) 4 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590734.7l to millilitres.\nAnswer: 590734700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3442 to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u**2 + 72*u + 24. Calculate the least common multiple of d(-10) and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34361115*5.\nAnswer: 171805575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 1, 0.09779, -2\/5 in decreasing order.\nAnswer: 1, 0.09779, -2\/5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 rounded to the nearest ten?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-130)*(1\/1)\/((-2)\/(-2))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0166476 rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -299752*c + 575929 wrt c?\nAnswer: -299752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90726 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*(-18)\/4. Suppose 12 = i + 2*i. Solve -w = i*b + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 101.\nAnswer: 2727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - 1) + -56 + 48\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 0)*(160 - 72 - 112)*(-5*w**4 + 4*w**4 + 33*w**4) to l*w + d*w**2 + a*w**3 + k + j*w**4 and give j.\nAnswer: -1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 9) in base 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 + 4*f**2 - 3085 + f**3 + 6179 - 2*f - 3091 to x + w*f**3 + i*f + v*f**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (12 + -2)) + 3 + -7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4768547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/9*b**3 + 2\/9*b**4 + 4\/3*b**2 + 8\/9*b - 16\/9.\nAnswer: 2*(b - 2)**3*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/2))**(21\/4)*r**(-1)\/r**(-4) assuming r is positive.\nAnswer: r**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3 + 920*i**2 - 44945*i + 237630 = 0. Calculate i.\nAnswer: 6, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (8307\/(-2405) + (-6)\/(-15)). Which is the second smallest value? (a) u (b) 2\/9 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2. Let w(j) be the second derivative of -7*j - 1\/6*j**3 + 0*j**2 + 0. Determine q(w(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -864 and -103?\nAnswer: 88992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -127*j + 258. Let i(b) = -25*b + 52. Calculate 14*i(v) - 3*y(v).\nAnswer: 31*v - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*k + 90, -2*w - 2*w + 66 = -2*k. What is the highest common divisor of w and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 16 = -4*n, 2*n = 4*a + 31 - 37 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 94, 192, 382, 694, 1158?\nAnswer: 1804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000977286 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -44*t - 356. Let z be s(-17). What is the greatest common factor of 32 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let j(q) = -15901*q. What is j(s(r))?\nAnswer: 15901*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004736154 to six decimal places.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 515826 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) -4 (c) 103 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-2128)\/(-456).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15792440047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 2*b = -8, 788*b = 787*b + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1925 and 35511025.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -76021?\nAnswer: 76034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5bbe23 (base 16) in base 15?\nAnswer: 7db701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by 61?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/69)\/(i\/((i**26\/i*i)\/i)) assuming i is positive.\nAnswer: i**(1655\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018897 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 10*l + 6. Let d be k(6). Suppose 6 + 23 = j. Let w = j + d. Calculate the smallest common multiple of 7 and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -20 - 27 + 47 + 10*x**2. Let i(y) = -4*y**2. Give o(i(h)).\nAnswer: 160*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 9 = 5*d + 5*n, -5*n = -5*d - 45. Let z be (4\/d)\/(1\/(-18)). Is 164\/z - 1\/(-3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -541*4.\nAnswer: -2164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f\/f**(-6)*f*(f**0)**9 assuming f is positive.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*l - 32 + 1266 = -401 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + (-74)\/(-8))\/(198\/264). Solve 6*j - h*j = -5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t\/(t\/(t*t**(-17)*t)))\/t)))\/t**(-23)*(t**5)**(2\/91) assuming t is positive.\nAnswer: t**(647\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - 2*a)*(-2*a + 3*a + 4*a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*v - 7, 6*v - 8*v + 2 = -4*b. List the prime factors of -2 + b*-15*3.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.4*-0.23.\nAnswer: -0.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 604 = 3*d, -3*d - 1077 = 5*v + 412. Let w be (-28)\/(1 + v\/300). Round w to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/77 - 85\/308. Let v(t) = -t - t**3 - 6*t - t - 1 + 9*t**2. Let h be v(8). Is h at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 1. Let t be g(-2). Do t and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -114. Suppose 2*f - 3*f = -a. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.47 and 0.51042.\nAnswer: -0.7503174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66224*w**3 - 66852*w**3 + 135601*w**3.\nAnswer: 2525*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4))**(-3\/4)\/((l*l**(-1))\/l**(-8)))\/((l*l**1)\/((l*l**(-7)\/l*l)\/l)*l**(-3)\/(l*l**4\/l*l)) assuming l is positive.\nAnswer: l**(-141\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/(-56) + (-6)\/(-8). Let t(c) = -c**3 - 4*c**2 + 3*c - 6. Let z be t(-5). Let a = z - -1. Solve 3*y = 2*q + 4*y + a, -q - 3*y - 15 = s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73)\/(-132) + (-3262)\/5126.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -33*r**3 + 2*r**2 - 1. Determine p(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -58 + 79 + -124.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - -12 - (-3 + 9 + -12)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/9, 1, 19260 in ascending order.\nAnswer: -5\/9, 1, 19260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2295 by -5.\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.0665.\nAnswer: -0.0133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020201010011 (base 3) in base 11?\nAnswer: 746838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z = 27*z + 56 + 132 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -16*m + 90. Calculate the remainder when 129 is divided by w(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 72.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4121 divided by 11?\nAnswer: -4121\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/2 + 9. Which is the third biggest value? (a) -0.2 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - -1.9. Let q = f - 2.9. Let d = -0.2 + 0.5. What is the smallest value in -3, q, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -10 + 9 + -1 + -2 + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 8*d**2 + 5*d + 5. What are the prime factors of l(8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-546)\/5915)\/((-1)\/(-40)) - (6 + -10)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2 - 2*u + 1 + 1. Let q(x) be the third derivative of 0*x + 8*x**2 - 7\/24*x**4 + 0*x**3 + 0. Give n(q(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1021224255 - 10?\nAnswer: 1021224245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -8)*(-1 - 1\/(-1)). Solve h - 4*o - 4 = -3*h, w = 5*h - 2*o - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (1 - 39)*1. Let a = n + 36. Let c = -12 + 20. Solve -5*w + w - c = a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(((z**(-5\/4)\/z*z)\/z)\/z)))\/(z\/(z**(1\/3)\/z*z)*z))\/(z**(-3\/2)*z*z**(-1\/2)\/z*z*z) assuming z is positive.\nAnswer: z**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/4733872 and 19\/11440.\nAnswer: 23669360","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 13702 + -13702.000007857. What is a rounded to seven dps?\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6 + 21 + -17\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.879 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*q**3 - 53*q**3 - 21*q - 1 + 21*q)*(-4*q + 4*q - 6*q**2).\nAnswer: 696*q**5 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zycjcylcycycryly. What is prob of sequence cllj?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5991.343 tonnes?\nAnswer: 5991343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118734 and 137238.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n**2 - 9*n - 9. Let j(x) = -4*x**2 - 11*x - 17. Let o(z) = z + 2. Let a(k) = j(k) + 6*o(k). Determine -11*a(l) + 6*g(l).\nAnswer: 2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -3*r**5\/20 + r**4\/4 - 5*r**3\/6 - 3*r**2\/2 - 7*r. Let p be v(-3). What is the greatest common factor of 30 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywyo. Give prob of picking 1 w and 1 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -3, 0.059, 0.7 in decreasing order.\nAnswer: 0.7, 1\/5, 0.059, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m + 2. Let z(y) = 773*y + 8. What is 5*u(a) - z(a)?\nAnswer: -803*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 34774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 2*z = 36. Suppose 2*g = -4, g - 4 = -z*a + 90. Let q be a\/30 - 4\/5. Solve -y = -q*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42520578?\nAnswer: 2, 3, 7086763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = 5*s, 0 = -21*s + 23*s + 4*x + 8. Suppose -2*i + 11 = 3*l, -s*l - 5 = -9*l - 5*i. Sort -0.09, l, -4 in descending order.\nAnswer: l, -0.09, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.28702618 - -18205544.28702618. Let a = h - 18205543.29999939. Let j = a + -0.7. Round j to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -m + 34*d - 82, -3*m + 3*d = -7*m - 18 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 1011 - 2022 + 1011.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156478*15.\nAnswer: 2347170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 4:54 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3240.\nAnswer: -6480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4843208.\nAnswer: 2, 605401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 2*b + 3 - 2, -b = v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31460856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 5*i**2 + 6. Let y be c(5). Solve -b + 6 = -4*n, -2*b - 2*b + n - y = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/12*2*-428*(-205)\/153545?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235171465 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/7, -6, -775, 0.4 in descending order.\nAnswer: 5, 0.4, 1\/7, -6, -775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 5*l - 1925\/4.\nAnswer: (l - 55)*(l + 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*d - 29*d + 17*d in the form m*d + a and give m.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*v - 3851 = 2*v, -3*v + 1265 = u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2902*n**2 + 6*n - 7. Is x(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 133621.3 litres?\nAnswer: 133621300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, 153, 22, -3\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(88) - sqrt(22)))\/sqrt(2).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 48\/624 - (1685\/(-65) - -4)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0*33\/(-22)*(-4)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 + 2674\/(-168))\/(4\/(-69)). Is 0 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:18 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 350?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, n: 5, z: 2, x: 1, u: 1}. What is prob of sequence zunx?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 5*m - 2*m)*(-m**2 + 2*m**2 + m**2)*(2 + 8 - 5) as y + r*m + c*m**3 + t*m**2 and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-57)\/(-6))\/(443\/886). Let d be -1 + 24 + -1 + 1. Solve 0 = -g - h + d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111110 (base 2) to base 10.\nAnswer: -574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2. Let l be 2\/(-2 + 5 + -2). Let c(m) = -2*m - l*m - 9*m - 5*m. Give c(r(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402387039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1262 + -6.1262. Suppose -2*y = 5*r - 27, -2*y + 2*r - 14 = -6*y. Which is the closest to y? (a) -0.1 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 c, 1 i, and 1 b when four letters picked without replacement from {a: 1, l: 3, c: 1, t: 4, b: 2, i: 1}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from ttttttkttqttktk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (5 - (1 - 0 - -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 6 = -16. Suppose 0 = o*n - 20 - 12. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3301*u**2 + 2. Let h(m) = 13*m**2 - 2. Give f(k) + 2*h(k).\nAnswer: -3275*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*o + 15. Suppose -5*w - 5*k + o = -2*k, 5*w - 4*k = -16. Solve -6 - 6 = -3*p, w = l - p + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25283478*k**4 - 73308750*k.\nAnswer: 303401736*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwrrrrr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34055.\nAnswer: 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1134777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 37*v**2 - 45*v - 54. Let q(h) = 2*h**3 - 76*h**2 + 90*h + 113. Let c(o) = 6*q(o) + 13*r(o). Give c(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 45*v**2 - 54*v - 89. List the prime factors of b(49).\nAnswer: 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 0, 0 = -5*g + 2*f + 110 + 10. What is the third derivative of 22*i**2 - 17*i**2 - g*i**6 + 31*i**2 wrt i?\nAnswer: -2880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3330 - 3023. Is 0 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 16*u**2 + 5*u + 6. Let b(h) = 4*h**3 - 35*h**2 + 11*h + 13. Calculate -6*b(q) + 13*k(q).\nAnswer: 2*q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2*h = -37 + 39, -4*t - h - 4 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxiq when four letters picked without replacement from xqiiq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.26363.\nAnswer: -0.052726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/3175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 5*y. Let w be -1*20*y\/(-2). Solve 3*x + x - w = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 9, 2 in ascending order.\nAnswer: -8, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - 7. Let d = f + -14. Let l = d - -54. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from toootootoooo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 19*n + 7 + 67*n + 166*n. Suppose -6*l + 37*l = 155. Is u(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3848*s + 393. Is n(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 34\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-93)\/(-372))\/((-2)\/8 - -1 - 3).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4283 - 1595. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8676584? (a) 5 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -d171b (base 15) to base 3\nAnswer: -1020200121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*h - 180*h = -539 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3875693609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 87*o**3 - 477*o**2 + 2295*o.\nAnswer: -3*o*(o - 3)*(o + 15)*(o + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 157478666861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84973 and 24079.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.1 - 1.9. Let w = y - 3. What is the nearest to w in -0.5, -4, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - d - 10 = 0, 2*o - 10 = o - d. Suppose 5*h - 4*m = -1328, -5*h = -7*h - m - 539. Calculate the remainder when -10*h\/72 + (-2)\/9 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and (84\/30)\/((-32)\/(-80)).\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*z + 2*d - 6, z - 4 = 4*d. Let c = 323 + -321. Factor 3\/2*b**c + 0 + z*b.\nAnswer: 3*b**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 + -0.4. Let o = -11.5 - -5.5. Let z = -5.92 - o. What is the second biggest value in 2\/5, i, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 34 in increasing order.\nAnswer: 0, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q - 3. Let g be 3\/3 + 12\/(-8)*4. What is l(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 3:19 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 71232.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 + 289\/3. Which is the second biggest value? (a) -0.14 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(280)*2)\/sqrt(10) + -1*sqrt(2268) + sqrt(2268))\/((sqrt(400) - (sqrt(400) + 2*sqrt(400))) + sqrt(144)*-2)*2)**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -343 (base 10) to base 11.\nAnswer: -292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2291*m**4 + 6*m**3 - 2*m**2 + 51*m. Let k(w) = w**4 + 3*w**3 - w**2 - 1. Let v(d) = 2*k(d) - t(d). What is the second derivative of v(f) wrt f?\nAnswer: -27468*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 3*s + 0*s)*(-4 + 4 + s**3 + (5*s**3 - 2*s**3 - 4*s**3)*(4 - 2 - 3) + 0 + 2*s**3 + 0).\nAnswer: 28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711797 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(22 - 27 + 194)*(3*z + 1 - 1)*(-3 - 2 + 2).\nAnswer: -1701*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6)*(4 + -246 + -7). Let l = d + 5. Let v be 66 + (-2 - (-6)\/3). Calculate the highest common divisor of v and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3364)\/(-58) - 53 - 15\/4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let k be 2 + (-5 - -2) - -2. Let n(u) = u - 2. Let f be n(k). Let b be g(f). Sort 1, b, -4.\nAnswer: -4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/57918 and 95\/788.\nAnswer: 115836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -28, -2\/51, 1\/11?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**5\/r)\/r)\/r*r*r)**(5\/6))**(1\/21))**48 assuming r is positive.\nAnswer: r**(160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(8 + -3) + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-1)\/(-86)*2). Let n = -56 - w. Suppose -2*r + 24 = -0*r. Calculate the greatest common divisor of n and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqhh when four letters picked without replacement from {x: 1, q: 1, h: 2, r: 4}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12880?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 81\/21 + (-2)\/(-14). Let u(d) = -d**2 + 2*d + 12. Let p be u(n). Solve 5*y + 15 + 2 = o, 2*o = p*y + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 1.2. Let n = -0.3 + i. Let b = 9 - 8.9. What is the second smallest value in -3\/5, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = 3*k, 10*r - 9*r + 3 = 5*k. Let o(q) = q**2 - 15*q + 9. Let c be o(k). Solve 4*x = -5*h + 36, -4*h + c + 3 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 677 - 378. Let v = a - 299.0000454. What is v rounded to six decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 48*c. Let n be t(3). Suppose 22*u - 139 = -29. Suppose -4*y + n = b, 2*b = u*b - y - 419. Does 35 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 13*p = -5. Suppose -u - 30 = -4*u - 5*q, 2*u = -p*q + 25. Solve -u*t + 19 - 44 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5587*m**3 + 896*m**3 - 5091*m**3.\nAnswer: -9782*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13535, -13612, -13707, -13826, -13975, -14160?\nAnswer: -14387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 8*d + 82. Suppose 0*g - 3*g - 3*c + 78 = 0, 2*g - d = 4*c. Which is smaller: 30 or g?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from fxxxf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0805 (b) 0.4 (c) -2018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 11112*q + 515637.\nAnswer: 3*(q + 47)*(q + 3657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 7*n**2 - 19*n + 44. What is the remainder when 63 is divided by d(9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.134 (b) -3\/2 (c) 0.3 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*b + 250*b - 569*b - 12*b.\nAnswer: -1035*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-4)\/84)\/((-33870)\/7903)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4996 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: Let q(y) be the first derivative of 0*y + 0*y**2 + 2\/3*y**3 + 1. Let l(f) be the second derivative of f**3\/6 + 3*f. Give q(l(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 0.1, 3, 0.5 in ascending order.\nAnswer: 0.1, 0.5, 3, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-6)*12\/27*-3. Let o be (c - 0) + 2 + (8 - 4). Suppose 5*t = -5*g + 600, o*g + 5*t + 108 = 5*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.7. What is the closest to 5 in -0.1, h, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08651 less than 0.17776?\nAnswer: 0.26427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 8*k - 1029. Calculate the remainder when z(52) is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 7:43 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 9) to base 6\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8606 (base 9) to base 14.\nAnswer: 243a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(6*u**5 - 3*u**5 - 5*u**5).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3947434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/1*1302\/(-17577)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/11)\/(23\/(230\/20))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -328*p + 94795. Give m(289).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15398*s + 9620 wrt s?\nAnswer: 15398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7585 and 3321.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/177? (a) 3 (b) -2 (c) -16\/5 (d) 0.18 (e) -2\/17 (f) 7\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 306936.33 + 5.2.\nAnswer: 306941.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 10)\/(-4) + 2. Let b(j) = -3 + 10*j + 40*j - 14*j + i. Is b(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-45)\/(-6))\/(-15))\/(3\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-4)\/12*-3. Suppose z + 2*n + 4 - 2 = u, -5*z + 5*n + 20 = 0. Let d(c) = 4*c + 1 - z - 6*c. Let l(g) = -g. Determine d(y) - l(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 706149 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: Let i(y) = -3883*y - 64. Suppose -4*c = 14 + 18. Let x be i(c). What is x rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25897, 25846, 25795?\n\"Answer: -51*c + 25948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 28 = 2*m, z - m - 12 = -3*m. Calculate the highest common factor of 90 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 - 12. Let i(v) = 13985*v. Give s(i(y)).\nAnswer: -782320900*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -34*w - 137. Let x(i) = -i**3 - 8*i**2 - 3*i - 4. Let g be x(0). Let q be u(g). What is the third biggest value in 5, q, 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 - -8 - 17) - (1 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2544321 (base 7) to base 13\nAnswer: b755b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134.8 * -0.3.\nAnswer: 40.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 33. Let w(k) be the first derivative of -5*k**4\/4 - 164*k + 3959. Give -11*u(y) - 2*w(y).\nAnswer: -y**3 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-149 - -150)*((-7)\/(-10))\/7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 108*v + 201*v = 89*v - 51, 0 = 14*c - v - 26 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 8*x**3\/3 + 31*x + 11. Let l(p) be the first derivative of i(p). Let h(j) = -2*j**2. Determine l(h(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -13, 0.2, -0.7 in ascending order.\nAnswer: -13, -0.7, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 277269 and 53418?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z - 2 - 3 + 11*z**2 - 7*z**2 + z**3. List the prime factors of r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 417 + 15 = 0. Let w = 88 - y. Let q = -58 - w. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(19) + 4 - sqrt(19))**2 - sqrt(19) - (-2 + sqrt(114)\/sqrt(6))) + sqrt(171) + 1 + -5 + -4.\nAnswer: sqrt(19) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -193*i**3 + 12*i**2 + 4*i + 4. Let w(r) = -r**3 - 3*r**2 - r - 1. Calculate 3*b(x) + 12*w(x).\nAnswer: -591*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 547476887.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.33 times 6473.01?\nAnswer: 28028.1333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, c: 2, m: 1, j: 8}. Give prob of picking 2 d.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, j: 6, e: 4, i: 1, n: 2, u: 4}. What is prob of picking 1 j and 2 n?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 1 + 1 - 5 + t**2 + 2. Suppose -4*b - 5*x + 3 = -2*x, 2*b + 6 = -4*x. Let k be j(b). What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 - 2*o + 3. Let d(m) be the second derivative of m**3\/3 + 3*m**2 - 14*m. Let t be d(-2). Determine r(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 17, 3, 4 in descending order.\nAnswer: 55, 17, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uukk when four letters picked without replacement from {u: 3, m: 4, k: 6}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61\/33 - -24\/11. Which is the closest to 8? (a) -3 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 0 - (-460)\/115?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/15 + (-2)\/(-3). Let r = h + 4. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1003 - -986. Let k(b) be the third derivative of 113*b**4\/24 + b**3\/6 + 3*b**2. Let u be k(t). Round u to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 910*p**2 + 4384*p**2 + 54.\nAnswer: 3474*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-8)\/2 + 3) - -290. Let r be (0 - -250)*(7 + -5). Let j = r - c. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -u. Suppose b - 3*b + 6 = u. Suppose -b*p = -8*p + 475. Calculate the greatest common divisor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-8) - 0) + (-22)\/(-8). Let f(x) = 6*x**3 - 4*x**2 + 3*x - 3. What is the hundreds digit of f(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 26272.\nAnswer: 78816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -24 + 94\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*((sqrt(180) - sqrt(180)*-1) + 4) + -2)**2.\nAnswer: 2520*sqrt(5) + 18441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/(-2646)*((216\/80)\/(6\/(-8)) - -4)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = y + 4*f, 5*y = -5*f + f - 155. Let l = y - -12. Let u be (-1)\/(-3) - l\/9. Solve 0 = 5*n - 20, 0 = d - u*n + 7 + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2230*m**2 - 6689*m - 4. Determine r(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009716991615 to five decimal places.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1355313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (((-1312)\/6)\/(-8))\/((-2)\/(-3)) is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**4\/24 + v**3\/6 + 4*v**2. Let h(p) = p**2 - 2*p + 4. What is -h(n) + 4*s(n)?\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 2*x**2 + 10. Let v be i(0). Suppose -v*p + 5 = -15*p. Let u be (-14)\/(-36) + (-2)\/4. Is p equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*a + 10, -4*a - 4*y - 237 + 245 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 5374898172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 - -94. Is 165\/20*(-2 - a) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19998627 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5)\/y*y)**15*y**0\/y**(-9))**(-4) assuming y is positive.\nAnswer: y**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.141 and -391.\nAnswer: -55.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 12 (b) -8 (c) 0.4 (d) -29 (e) 1 (f) 2\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 7*d - 9. Let n be s(-7). Let x = 11401 - 11398. Sort n, x, 0 in descending order.\nAnswer: x, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1517*w - 27208. Give s(-18).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 16 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599953.\nAnswer: 41, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5136 (base 11) in base 10?\nAnswer: -6815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5, -2*x - o = 2*o - 39. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 209, 304, 401, 500?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -219*j**2\/5 + 1089*j\/5 + 6.\nAnswer: -3*(j - 5)*(73*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/440475 and -95\/1414.\nAnswer: 88975950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5 times -10?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 3*x = -5*t - 33, 2*x + t + 1 = 0. Suppose 4 = x*o - 6. Let m(n) = n**2 - 12*n + 15. Let p be m(11). Solve -o + 21 = -p*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -10. Let h(i) = -i**3 - 3*i**2 - 3*i - 1. Let y be h(-2). What is the tens digit of c\/(-4) + y\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.04594 (c) 49.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from nmtetvvmmttcctnetc.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 8*y + 27*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 8*r**2 - 13*r. Let v be q(-6). Solve 4 = -4*l + v*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**3\/6 - 11*c**2\/2 + 3*c. Let s be u(8). What is the tens digit of (s*66\/9)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 28 + 66*c + 4 - 44*c. Give s(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6122 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*k + 15*k**4 + 193*k**3 - 193*k**3 wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26283, -104050, -233661, -415116, -648415, -933558, -1270545?\nAnswer: -1659376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 0, 2*k + c = 1 + 9. Let h(n) = 8*n**3 - 5*n. Let x(v) = 7*v**3 - 4*v. Calculate k*x(b) - 4*h(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 10:47 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 2. Let l be v(3). Let s be 20\/28 - l\/14. Differentiate s + 3 - 5 - 2*n**3 wrt n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**5 - 8217*k**4 + k**3 - 215756*k**2 wrt k.\nAnswer: 180*k**2 - 197208*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -344.485482 - -289.4854. Let r = 54.976 + 0.024. Let o = f + r. What is o rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 1\/7, 1\/5, -5, -2\/727, -6, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 25*b**2 + 19*b - 3.\nAnswer: 25*b**2 + 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103 - -22110034?\nAnswer: 22110142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/87561 and 28\/7521.\nAnswer: 9544149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410256 (base 7) to base 14.\nAnswer: 1b5d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*n + 34 + 8, 4*p - 16 = -n. Let g = -8 + n. Solve g = y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 4*a + 1. Let j(d) = -d**2 + d - 1. Suppose -6*w = -14*w - 8. Let y be (-1)\/(-2)*(5 + 1). Let r = -6 + y. Determine r*j(c) + w*g(c).\nAnswer: 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5020, 7828, 10680, 13576, 16516?\nAnswer: 19500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/1191 + -157217\/5955. Let n = 26 + x. Which is the smallest value? (a) 1 (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5508.91232634 less than 13?\nAnswer: -5495.91232634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 2. Let n be 0 - -3 - (-561)\/(-204). Which is the third smallest value? (a) x (b) -3\/5 (c) n (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -0.5 (c) 7239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 0*p + 0*p + (1 + 0 + 1)*(2 - 2 + 3*p) + 6*p - 6*p + 2*p + 3*p - 14*p - 11*p + (-p + p - p)*(-2 - 3 + 2).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -421 (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 944676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/281, -3\/7 in decreasing order.\nAnswer: -2\/281, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/136206*-18*14?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbbbbbbbvbbbbbbbbb.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**5\/150 + 8*w**4\/15 - 256*w**3\/15 - 30*w**2. Find b, given that o(b) = 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 8:01 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-36)\/(-1512)*-14)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01845413 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5.229, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1066, -4246, -9544, -16960, -26494?\n\"Answer: -1059*m**2 - 3*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 59*b**2 + 14. Let a(q) = 9*q + 32. Let c(j) = j + 4. Let i(h) = -3*a(h) + 24*c(h). Calculate i(z(n)).\nAnswer: -177*n**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 4. Let y = -1 + -2. Let q be o(y). Let g = q - -8. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + 6. Suppose 3*k - n - 10 = -6*n, 0 = -5*k - z*n + 23. Let h be (-4)\/(-2)*(-15)\/(-2). What is the greatest common divisor of k and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/414440 and 107\/9152?\nAnswer: 36470720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/7, -3\/5, -1\/3, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -6*h + 12545932 + 93756076, 5*l = 20. What is h rounded to the nearest 100000?\nAnswer: 17700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42045 (base 6) in base 15?\nAnswer: -1a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42230 is divided by 220.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 45 (b) 1 (c) -2\/17 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2 + 0 - 33*m + 34*m + 0. Give o(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*o**3 + 860*o**2 + 19*o**4 + 1901*o**2 - 70*o**2 wrt o?\nAnswer: 456*o + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + n - 10 = 0, 3*l - 4 - 1 = 2*n. Suppose -k = -2*k + 5, -l*o + 20 = k. Let t(s) = s + 1. List the prime factors of t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 0 (c) 5\/3 (d) 4 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -0.2, -12 in decreasing order.\nAnswer: -0.2, -12, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51015339?\nAnswer: 3, 629819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001253026 to 7 decimal places.\nAnswer: -0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/105 (b) -1 (c) -2\/3 (d) 3 (e) 29 (f) 1\/4 (g) 8\/909\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f**2 + 26*f**2 + 21 + f**2 - 260 + 4*f**2.\nAnswer: 48*f**2 - 239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 41*b**2 + 2*b. Let v(x) = 41*x**2 + 3*x. Let l = -17279 + 17282. Determine l*k(a) - 2*v(a).\nAnswer: 41*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 11*b + 26. Calculate m(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 135\/(-3)*(-8 - -7). Calculate the greatest common divisor of l and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4630419932.\nAnswer: 2, 1157604983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 1114*m**2 + 10 + 4 + 507*m**2 + (4*m + 7 - 7)*(4 - 4 + 2*m) to y*m + q + d*m**2 and give d.\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*p, 37 - 4 = 3*j - 5*p. Suppose -5*m = -2*m - j. Let z be (m\/4)\/(5\/(-50)). Let t(y) = y**2 + 4*y - 2. Calculate t(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101 (base 2) in base 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18196 + -18271. Which is bigger: y or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1464854, 1465139, 1465914, 1467425, 1469918, 1473639, 1478834?\nAnswer: 1485749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + 5*t**4 + 3*t**4 + (3*t**2 + 2*t**2 - 3*t**2)*(28*t**2 - 16*t + 16*t) - 2*t + 2*t**4 + 2*t + 2*t**4 - 3*t**4 - 3*t**4.\nAnswer: 59*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(448)\/(-2*sqrt(8)))\/sqrt(8).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-81)\/(-18)))\/((-4)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 24, -2\/15, 2\/15, -3 in descending order.\nAnswer: 24, 2\/15, -2\/15, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10704\/10 - (-13)\/13 - (-6)\/10 and 20?\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -927, -293, 763, 2241, 4141?\n\"Answer: 211*t**2 + t - 1139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 4*m**2 - 15*m + 6. Let u be r(-7). Sort 1, u, -2.\nAnswer: u, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 10*i + 686 = -3*k, 0 = -i - 5*k - 694. Let c = i - -674. What is the third smallest value in 1, c, -4, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 748*a - 750.\nAnswer: 2*(a - 375)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -7 + -3 + 12 + -30\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -3. Suppose 2*b - 3*b = 0. Suppose 2*l = -3*j + 2 + 2, b = -l + 2. Put -6, i, j in descending order.\nAnswer: j, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/8 and 8\/663?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 237, 443, 649?\n\"Answer: 206*s + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8*45\/165*11. What is the nearest to 2\/5 in 7, -0.03, 1\/6, d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1)*((-16)\/(-12))\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 6 + 2. Let n be (-26280008)\/36 - c\/9. Round n to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2. Let j(q) = -13*q**2 - 4*q. Let b(u) = -u**2 - u. Let v(g) = -4*b(g) + j(g). What is a(v(h))?\nAnswer: -243*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*g - 209, 3*g + 5*r - 335 = -2*g. Suppose 0 = -4*a - 3*u + 298, 0*u - g = -a + 5*u. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by 14.\nAnswer: 67\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3 - 3*l + 14*l**2 + 607*l**2 + 264*l**2. Let y be 722\/(-304) - (-3)\/8. Is h(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 5*i**2 - i - 3. Let t be g(-5). Suppose d + 2 = 0, 5*l - t*d - 292 = -63. What is the highest common factor of l and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 4)\/((-14)\/(-21)). Let j be (2\/o)\/(6\/27). Let k = 107 + -99. Solve -k*n + j*n = 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4940474, 9880951, 14821428, 19761905, 24702382?\nAnswer: 29642859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9*d**2 - 12 + 17 - 5.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11208 and 571608?\nAnswer: 571608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -13*n**5\/20 - n**4\/6 - n**3\/3 - n**2\/2 + 8*n. Let p be g(-1). Suppose p = u - 7. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1824968?\nAnswer: 2, 157, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3 + 3 + 3 + l - 1. Let m be 4\/(-6) - (-32)\/(-6). What is the units digit of a(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/(2 - (-16)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 - 66*g**2 - 8*g - 198. Let v be f(-22). Is -455\/22 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-82)\/(-3)*33\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -14. Let j = p + 1. Let c(n) = -n**2 - 7*n - 3. What is the units digit of c(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j*(j\/(j**(5\/3)\/j))\/j)))\/j)\/j**6)**46 assuming j is positive.\nAnswer: j**(-920\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 11:56 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7340 and 16515.\nAnswer: 66060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 4670*v**2 - 4678*v**2 + 3 - 3.\nAnswer: 2*v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3965 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: Let s(u) = 5 - 3*u + 2*u**2 + 4*u - 5*u. Let x(q) = q. Let c be x(2). Let f(y) = 2*y**2 - 4*y + 4. Let h(d) = c*s(d) - 3*f(d). Factor h(i).\nAnswer: -2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -31. Let k = g + -15. Find the second derivative of -h**2 + 9*h**2 + 0*h**2 + k*h**2 - 4*h wrt h.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*x - 0*x + 22, 4*d + 16 = 2*x. Let u be 42\/8 - 1\/4. Solve -u*o + x*l + 23 = 0, 1 = -l - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfynnyfnyfffqfknyjkq. What is prob of sequence nk?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66300 by -1275.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1805)\/722*(-204)\/(-15).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 33*f**2 - 33*f + 2. Let i be n(8). Suppose 3*b = -8*b + i. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 46*d**2 + 0 - 1\/2*d**3 - 1\/60*d**5 + 0*d - 1\/3*d**4. Determine z(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 2418?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.103*0.037.\nAnswer: -0.003811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8004?\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/4 of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/11, -2\/5, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1128547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.79502 * 37\nAnswer: 29.41574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxxxxhxhxxxxhxxxh. What is prob of picking 1 x and 1 h?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 2 (c) -333 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -285\/11? (a) 0.4 (b) -4\/19 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/10438 and 35\/16.\nAnswer: 83504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**2 + 26*v - 8. Let n be s(6). Find the first derivative of -33*t**n + 952*t**2 - t - 11 - 952*t**2 wrt t.\nAnswer: -132*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/3 and 19\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -747152 by -6671.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/4 + -2)\/(18\/(-24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q - 25. Let o be f(13). Let s(u) be the second derivative of 2*u + 0 + 1\/2*u**2 + 1\/2*u**3. Determine s(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/660)\/(((-1683)\/170)\/99)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 22d?\nAnswer: 22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43970 is divided by 10981?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -7 - -15) + 5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -565.6 times 57?\nAnswer: -32239.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -14918934\/25 greater than or equal to -596758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 69.88775 hours?\nAnswer: 251595900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1377\/5 in 3, -7, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - 5*j - 41, 15*w - 13*w - 4*j - 73 = j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -81000 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 8*x - 192. Determine m(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c - -2390b40?\nAnswer: 2390b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1265*n**2*r*s + 1455*n**2*s**2 + 21167*n*r*s - 3*n*s**2 - 16*s**2 - 2*s - 2 wrt n?\nAnswer: -2530*r*s + 2910*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-135)\/(-2)*(-4)\/(-6). What are the prime factors of (30\/d)\/((-4)\/(-258))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/24 and 11\/9696?\nAnswer: 9696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 6. Let r(y) = y**2 - 8*y - 13. Let k be r(9). Is k <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.5 + -2. Let z = -0.5 + c. What is the nearest to -0.1 in z, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 26, 57, 86?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 4*h = 426, 4*f - 16060*h + 66 = -16055*h for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(3 - (2 + 3 + -1)). Differentiate 12*l**4 - 6*l**4 - d + 4*l**4 wrt l.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2427, -2428, -2429, -2430, -2431, -2432?\nAnswer: -2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 367 + 367 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000791689475 to 5 dps.\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 935 divide 8320717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 8 = 4*f, -162*g + 158*g - 8 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9927 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.4 + -26.4. Let g = 31 - 36. Which is the closest to -2? (a) -2 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/5, -0.2, -3, 2370\/41?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/6 + j**4\/24 - 97*j**3\/6 - j**2 + 34*j. What is the derivative of x(r) wrt r?\nAnswer: -60*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -252 + 758\/3. Sort n, -5\/7, 1, 5 in ascending order.\nAnswer: -5\/7, n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pael when four letters picked without replacement from {e: 2, l: 1, b: 5, a: 1, p: 2, n: 2}.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 4*h - 1. Let t(g) = 3*g + 645. Calculate t(u(a)).\nAnswer: -3*a**2 - 12*a + 642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, h: 1, n: 1, l: 2}. What is prob of sequence lcn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*o + 76*o - 120*o)*(-2*o**2 - 4*o**4 + 3*o**2 + 5*o**4).\nAnswer: -147*o**5 - 147*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -21, -24?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/60 - z**4\/12 - z**3 - 5*z**2. Let f be a(-2). Suppose 0 = -f*p + p + 7. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -304*n**4 + n**2 + 3*n + 17. Is w(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.684 in 69\/16, 0, 0.1, -1, 3\/5, -1\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/18 - 836\/24. Suppose 3*c - 1 = -43. Let s = c - n. Is s a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 118 - 35 - 43 - 38 - 2*x. Calculate a(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/45 and (2\/(-8))\/(2 - 1212\/616).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 7063939774.4\nAnswer: -7063939774.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5145 + -95?\nAnswer: -520a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2016 + -0.0016. Let h = -0.6 - -0.5. Which is the third smallest value? (a) x (b) -0.06 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 18*n = 174. Suppose 8*h = 3*h - 1090. Let z = n - h. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 + -73. Find the second derivative of p*s - 52*s + s**5 - 6*s**5 wrt s.\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/3 + 3)\/((-2)\/(-3)). Solve 3*x = 5 + g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 610228197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -101c4?\nAnswer: -101bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 + 1)*(1 - 2 - 3)*(4 - 3*u - 2 + 5*u) to the form j*u + s and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwzqpqppqppppwppzpip. What is prob of sequence qi?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326441449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 318*u**3 - u**2 - 313*u**3 + 629*u**3 - u**2 in the form s*u + d + y*u**2 + l*u**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3263 and 7279.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*c - 146*c - 145*c + 586*c - 358*c**2 - 148*c.\nAnswer: -358*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 14\/13 in decreasing order.\nAnswer: 14\/13, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*x - 4. Suppose 2*z = -8, 36 = x*j + 2*z + 12. Is 55\/7 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**4\/24 + 4*i**3\/3 - 72367*i**2. Let k = 1 + 3. Give n(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8879654 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*f + 2*f + 18, -2*z - 2*f + 18 = 0. Suppose 2*v = 4*u - 44, z*u - 53 = 4*u + 2*v. Suppose -u = -5*a + 26. Let m(i) = -3*i + 5. What is m(a)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27398365 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 5*f - f)*(-104*f**3 + 413 - 413 + (0 + 0 - 3*f**2)*(-3 + 2*f + 3)) in the form q*f**3 + o*f**2 + w*f + u*f**4 + i and give u.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -459\/2 + 229. What is the closest to q in -0.1, 1, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3*v + v + (-2 + 0 + 0)*(0 - 2*v + 0))*(10*v - 23*v**2 - 10*v)*(0 - 2 - 3*v**2 + 0*v**2) - 2*v**5 - 2*v**5 + 3*v**5.\nAnswer: 68*v**5 + 46*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 9631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-17)\/6 - 1\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from hhqtttqhqqq.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 6*h**2 + 14*h - 20. What is y(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 14, 3, -19, 2.\nAnswer: -19, 0, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/5 + 12\/(-30). Suppose -g*i - 3 = -2*u - 26, -u - 1 = i. Solve -5*z - 2 = 2*l, -i*z + 3*l + 2 = -1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296, -599, -902, -1205, -1508, -1811?\nAnswer: -2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2122.71 and 126.\nAnswer: -267461.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f - 12. Put f, 1, 19 in decreasing order.\nAnswer: 19, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140 - -23?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 19*y**3 + 141*y**3 - 2*y**3 - 4053 + 4051 - y**2 as q + z*y**2 + m*y**3 + j*y and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*p + 1775, 2*t = 5*p + 691 + 200. Differentiate 2 - t*x + 162*x + 164*x wrt x.\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by 148?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 9:52 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*m - 63*m - 2*d = 61, 4*m - 4*d = -60 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 7) to base 4\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -29 - 3819\/(-133) - (-113703)\/7?\nAnswer: 37, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -100011100100011?\nAnswer: 100011100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2719, -14079, -33021, -59551, -93675, -135399, -184729?\nAnswer: -241671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 8. Let l = -2\/221 + 1336\/1105. What is the biggest value in l, m, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -626335853221109.92500043 + 626335856003245. Let x = 2782135 - z. Let p = x + 0.075. Round p to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -929\/22 - -83\/2. Suppose -10*s = -9*s - 2*m - 21, -s = 4*m + 27. Put -5, b, s in decreasing order.\nAnswer: s, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*9\/(-60)*10\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*r - 60, 4*x + 12 = 3*x + r. Let q = 181 - x. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2\/7 - 56637212*c + 2806802060241326 = 0.\nAnswer: 99115121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32857, -33302, -34073, -35194, -36689?\n\"Answer: -4*l**3 - 139*l**2 - 32714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -701*c**4\/24 + 830*c**3\/3 - 7*c**2 - 93. Differentiate u(a) with respect to a.\nAnswer: -701","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 + 65*u - 476. Calculate y(24).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 146359, 146435, 146513, 146593, 146675?\n\"Answer: r**2 + 73*r + 146285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a hour in seconds?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 21 and 22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(3\/(-10))*35\/(-12)*(-6152)\/(-21532)\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -276*g - 431*g - 143*g to the form f*g + y and give f.\nAnswer: -850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l**3 - 12*l**2 + 12*l**2 - 2*l**3.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*h + 1377 = -401*h. Suppose 99 = v - 3*o, -5*v + 4*o = o - h. What is the lowest common multiple of v and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 2*w - 5. Let m(i) = 133*i - 262. Let l be m(2). Suppose -5*q + 22 = -r, 4*q = 2*r + 19 - 5. Let o(x) = 2*x + 4. Determine l*p(y) + q*o(y).\nAnswer: -4*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9784 is divided by 1166?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rhlrromhhllhphrrhphl.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 380797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 2*f + 54, 2*h - 4*f = -5*f - f + 54 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*-2*(4 + 4*-1*sqrt(200)))**2.\nAnswer: -17280*sqrt(2) + 205529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -29\/9. Which is the closest to 0? (a) 1 (b) w (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 322*d - 3069. Give u(10).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-250))\/(293\/5860)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -205225\/812 + 1011\/4. Let t = -388\/1827 - x. Put 7, 4, t in increasing order.\nAnswer: t, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 3*d + 5*d - 9*d + 2*d in the form g*d + z*d**2 + k and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 31*p**7\/210 + p**6\/24 - 821*p**4\/12 - 7*p**2 - 7*p - 10. What is the second derivative of r(q) wrt q?\nAnswer: 372*q**2 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.88 - 1.12. What is the closest to -0.1 in 1.04, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 3174425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(19) + sqrt(19)*-3)**2*-5 + (-3 + sqrt(19) + 4)**2 + (sqrt(95) - sqrt(95)*1*-6)\/((sqrt(25)\/(2*sqrt(5)) - sqrt(5)) + sqrt(5) - sqrt(5)).\nAnswer: -355 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*t + 165 = -0*v, -4*v - 2*t = 250. Let h = -57 - v. Solve -h*o - 3 = -0*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.11898.\nAnswer: 0.95184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 3*b + 3*b**2 + 31 - 2*b**3 - 43)*(0 - 2 + 0).\nAnswer: 4*b**3 - 6*b**2 + 6*b - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1597 - 1465. Suppose 2*f - k - 340 = -4*k, 0 = 4*f + k - 700. Calculate the highest common factor of m and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m - 210 = 43*m - 1764 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170331, -340759, -511189, -681621, -852055, -1022491, -1192929?\nAnswer: -1363369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + 140. Suppose 140*h - 1800 = 50*h. What is the highest common divisor of o and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 7518 - 2576 = 0. List the prime factors of v.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4018 + 9217. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18266335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -170567 + 170571. Suppose -18 = -4*g - 90. Put g, -5, c in decreasing order.\nAnswer: c, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -20*u - 1042. What is t(-52)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338330 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*n + 119*n + 75*n = -360. What is the closest to -4\/7 in 2\/13, n, 4\/5, -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-88))\/((-168)\/(-64)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2530 and 19\/495.\nAnswer: 22770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (1 + 2)) + 786 + -774.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1214045 divided by 34687.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j*l*n*z**3 + 830*j*l*n - 29*j*n*z**2 - l*n**2*z - 3*n**2*z**3 - n*z**3 wrt l?\nAnswer: j*n*z**3 + 830*j*n - n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -25, -38, -53, -70?\n\"Answer: -o**2 - 8*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -3818?\nAnswer: 763.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -5 + -2 + 3. Let f = s - -5. Suppose 4*q + 2 - q**2 - 3*q - f*q = 0. Calculate q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/12)\/((-649)\/(-118))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4324 or 4315?\nAnswer: 4315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/2 - 15626505*m - 93759003\/2.\nAnswer: -3*(m + 3)*(m + 10417667)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 516\/43 + -20 - -20 - (1\/(-1) - -104)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -498 (base 11) to base 10.\nAnswer: -591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56, -107, -158, -209?\n\"Answer: -51*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 272740.774 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -399*k + 420 - 420 - 4203*k to the form p + m*k and give m.\nAnswer: -4602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*s + 1514, -s = -r + 413 + 81. Let d = 730 - r. What is the least common multiple of 4 and d?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**3 + 3*d**2 - 2*d + 3. Let y be 2\/(-8) - (-33)\/(-12). Let v(m) = -7*m**3 - 4*m**2 + 2*m - 4. Determine y*v(o) - 4*b(o).\nAnswer: -3*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -37a0 (base 16) in base 5?\nAnswer: -423430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2803, -4, 46, 0.1, -10\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 48.9. Put g, -4, -3, 1 in ascending order.\nAnswer: -4, -3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - (450\/(-148))\/(-3) and 19\/6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -426152 (base 8) in base 15?\nAnswer: -2c312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -12*a**3 + a**2 + 3*a + 2. Let b be o(-1). Let m = b + -2. Solve -v = -3*v - m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48746 is divided by 48727.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y**3 + y**3 - 3*y**3)*(1 - 8 + 4) - 4 + 2*y**3 + 4 in the form p*y**2 + u*y**3 + z*y + x and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.35 - 2.45. What is the closest to c in 3, 5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (11 + (-4 - -8))) + 10 + (-1 - 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 - t. Suppose 0*a = -2*a. Let l = a + -1. Determine r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5203 minus 0.412?\nAnswer: -5203.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248 - 250. Let p = -2.6 - 1.4. Which is the smallest value? (a) p (b) 2 (c) m (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2*277 + (16 - 13) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-7\/9)*b)**(2\/7)\/(b*b**29)**(-48))**(-11) assuming b is positive.\nAnswer: b**(-998470\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*v**2 + 12 + 5 - 1 - 3 wrt v?\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7515122km in micrometers?\nAnswer: 751512200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -16*y + 200. What is the highest common factor of y and 400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 16 = -4*i - 2*c, 20 = 5*i - 3*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64\/(-30) - 7\/(-21). Which is greater: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6*(-6)\/(-4). Let l = h + 4. Suppose -5*n + 5*u = 46499975, 5*n = -l*u + 23202823 - 69702838. Round n to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + (-103 - (-293 + 85)).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16730 divided by -1673.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {q: 1, p: 1, m: 2, x: 1, f: 3, d: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 6*k**2 - 3*k + 4. Let t be j(-6). Suppose -2*f = -4*h + 108 + 228, 0 = -h - 2*f + 104. Calculate the greatest common factor of h and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Let i(c) = c**3 - 4*c**2 + 2*c - 5. Let x be i(4). Suppose 80 = s*r + x*r. Calculate the remainder when r is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1476*x. Let y(l) = 10*l**2 + 14*l + 58. What is y(z(t))?\nAnswer: 21785760*t**2 + 20664*t + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a. Let x(c) = -3*c + 3. Let q(g) = -4*g + 2. Let s be (-2)\/(-7) - (26\/7)\/(-1). Let i(z) = s*x(z) - 6*q(z). Give u(i(m)).\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a. Let i(w) = -107*w. Determine i(s(g)).\nAnswer: -321*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-264)\/39)\/(-2))\/(895\/11635).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - 2*q + 2*q)*(-411 + 411 - 121*q + 0*q + 2*q - 4*q + (2 + 2*q - 2)*(-3 + 2 - 1))*(5 - 5 - 1) as i + g*q + c*q**2 and give c.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Evaluate 0 + (6 + -9 - 9) + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-42)\/(-56) + (-655)\/900 and -57\/790.\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**7\/840 + l**6\/720 + l**5\/120 + l**4 + 18*l. Let o(f) be the third derivative of v(f). Determine o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 80888941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p + 138. Let t be c(-15). Solve 0 = 3*x - 2*u + t, 0*u + 1 = 4*x - u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268) - (sqrt(2268) + 3))*6 - ((sqrt(84)\/(sqrt(12)*-2) - (-5*-2*sqrt(7) + sqrt(7) + sqrt(7))) + -2))**2.\nAnswer: -400*sqrt(7) + 5399\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -27*p**2 + 1. Give t(-2).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.2 + 1.2. Suppose -j + 0*j - 3 = 0. Which is the biggest value? (a) d (b) j (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 3*v**2 - v - 2. Let m be j(-2). Suppose 0 = 5*o + 24 - m. Is (-14)\/o*(-1 - -11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*g + 16, 0*g = 4*g + 8. Suppose -4*v + x + 4 = 5*x, -36 = 4*v - s*x. What is the third biggest value in -5\/3, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5126 divided by 2.\nAnswer: 2563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2223 - -103103221131?\nAnswer: 103103212302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofzofgbfoz. What is prob of sequence boo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 1. Let u(l) = 2*l**2 - 12*l - 5. Calculate 5*k(s) - u(s).\nAnswer: -2*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-3\/7))**(12\/7)*(t**(-4))**(-22) assuming t is positive.\nAnswer: t**(4432\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-56)\/(-39) - (0 - -1)*170\/255. Factor -2\/13 - d*z - 20\/13*z**3 - 10\/13*z**4 - 20\/13*z**2 - 2\/13*z**5.\nAnswer: -2*(z + 1)**5\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 792\nAnswer: -6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 3*n**2 + 2*n + 2. Let z be o(-2). Let t(y) = -12163 - 4*y + 2*y**2 + 24325 - 12159. What is t(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:32 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31040 at most 31039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 161*u + 5. Let i(a) = -a**2 + 80*a - 2. Let x(z) = -5*i(z) - 2*q(z). Let l(w) = 2*w. Give l(x(o)).\nAnswer: 2*o**2 - 156*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4.78. Let k = -0.08 + o. Let q = -0.8 - -0.3. Put 3, k, q in decreasing order.\nAnswer: 3, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 0.4, 0.13, -2\/59, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2187 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 277112 and 138556?\nAnswer: 277112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 times 20122\nAnswer: 5432.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -13701*l - 547656. Determine w(-40).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1377 + 23889906*i + 2*i**2 - 23889906*i)*(-2*i + 0*i + 0*i) to the form j + u*i**3 + g*i + o*i**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from onaqooqnoaaoqoqoan?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 17*b**2 + 5*b - 10. Determine t(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-7)\/63).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 3*c - 2. Let d be z(-4). Let q(a) = 8*a - 3. What is q(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-14)*322\/828?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/835?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3196232*a**3 - 1530974*a.\nAnswer: -19177392*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6*z - 19 = z, 0 = -2*z + 10. Sort -36, 1, l.\nAnswer: -36, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:05 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24676 and 7492783979.\nAnswer: 7492759303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.73820007987 - -866\nAnswer: 864.26179992013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -7\/5 (c) -1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**5\/10 - v**4\/4 + v**3\/3 + v**2. Let w(m) = -m - 190*m**2 + 1 - 183*m**2 + 372*m**2. What is 4*w(c) - z(c)?\nAnswer: 2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*m**4\/11 - 444*m**3\/11 + 984*m**2\/11 - 848*m\/11 + 192\/11.\nAnswer: 2*(m - 2)**3*(35*m - 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -118.83?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 766, 0.3, 0.4, 3\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11761, 11744, 11727?\nAnswer: 11710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, u: 1, b: 1, p: 2, d: 1}. What is prob of sequence ku?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148131495.\nAnswer: 3, 5, 211, 15601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.60337 * 1.24.\nAnswer: 0.7481788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 64 = 2*v - 6*v, -2*v + 32 = -4*x. Let u = 448\/17 - 1775\/68. Which is the closest to -1? (a) u (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-10)*(-8)\/(-3). Solve 0 = 2*a - 5*m + 21, -2*m + m = -v*a + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x = -605. Let s = x + 131. Let t(b) = -s*b + 22*b + b - 4*b. Let v(h) = -h. Calculate v(t(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 479971124 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-3 - ((-1 - 12) + 12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/10)\/(13\/(-65)). Factor 0*c - 3*c + 3*c - 24*c**3 + z*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6213 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 21*p. Let r(t) = -458*t + 1384*t - 462*t - 459*t + 7. Determine x(r(h)).\nAnswer: 105*h + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -473 + 473. Which is the second smallest value? (a) z (b) -11 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 181 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-1841)\/(-7)) + 4. Let i = o + 261. Solve i = 2*r - r - f, 21 = -4*r - f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -252, -1072, -2438, -4350, -6808?\n\"Answer: -273*x**2 - x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2 + i**2 + i - 37*i**3 + 40*i**3 + 4*i**2. Let q be o(-2). Put q, 0.5, 0.15 in ascending order.\nAnswer: q, 0.15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/63 - -19\/63. Let w = -0.5 - -1. Let f = 0.04 + 0.26. Put z, f, w in descending order.\nAnswer: w, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 31 - -1) + 2 + 63 + (39 - 95).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -425 + -1410. Let p = 10939\/6 + j. Find the common denominator of (3 + -2)\/(30\/(-305)) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 149*j**3 + 213*j**4 - 218*j**3 + 363*j**3 to h*j**3 + f + k*j + t*j**2 + c*j**4 and give c.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 84504900 to the nearest one hundred thousand.\nAnswer: 84500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*p*u*v**2 + 3*d*p*v - 8*d*u*v**2 - 2*p*u*v**2 - 52*p*v**2 + u wrt d.\nAnswer: -p*u*v**2 + 3*p*v - 8*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-636)\/(-92) + ((-90)\/23 - -4). Let n(x) = -11*x - x**2 + 6 - 4*x**2 + 3*x - x**2 + x**3. What is n(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**4 - 32548*f**3 + 390164*f**2 - 1332620*f + 975000 = 0.\nAnswer: 1, 5, 6, 8125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1722400 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 7) to base 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -270.0829 at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -3736090.\nAnswer: 112082.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2077900 and 1662320?\nAnswer: 8311600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 7*t - 5*v + 9 = 0, -11 = 4*t + v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -105322310 (base 6) to base 15\nAnswer: -28495c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 3*r = -15*r + 3527. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -142843, -143310, -144083, -145162?\n\"Answer: -153*h**2 - 8*h - 142682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccxx when four letters picked without replacement from {x: 11, c: 8, y: 1}.\nAnswer: 154\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i + 3*i + 5*i)*(-6 + 5 - 4) - 4 - i + 4 + (40 - 3*i - 40)*(2 + 1 - 4) as x + w*i and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Suppose -168 = -313*q + 145. Let u(j) = -3*j**2 + 3*j + 17. Calculate q*u(i) - 4*t(i).\nAnswer: -3*i**2 - i + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 4*d + 4, -675419 = -l + 4*d - 675406 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 80*t - 2676 = 364 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 2*r**3\/3 - 1. Let u = 8 - 7. Let y(b) = -3 + u + 2 - b. What is l(y(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 11:22 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 50 = -128. Calculate the remainder when 23 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-171)*3 + 0. Which is the third smallest value? (a) -5 (b) -70 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 - 1958*v**2 + 1103196*v - 135870120 = 0 for v.\nAnswer: 170, 894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 383372383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.08*0.4.\nAnswer: 0.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 4*r + 26, -r = -4*v + r - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 296, 304, 310, 314, 316, 316?\n\"Answer: -v**2 + 11*v + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -479 - -283.9. Let g = q - -166. Round g to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 15 - 16 = 0. Let q(w) = 6*w**2 - 13*w**2 + w + 3*w - 3*w. Give q(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + 1 - ((-144078)\/(-308))\/(-59) and 59\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1092, -2953, -5584, -8991, -13180, -18157, -23928?\n\"Answer: -k**3 - 379*k**2 - 717*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 33, -2\/3.\nAnswer: -2\/3, 0.2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x + 3*g - 9, 32 = -4*x + 4*g. Let o be (-2 - (-2 - 9))*x. Let a = -25 - o. Solve -a*i + 4 = -0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 145, 151, 159, 169, 181, 195, 211?\n\"Answer: s**2 + 3*s + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*d**2*w - 2*d**2 + 222*d*w - 2*w + 63328 wrt d?\nAnswer: 26*d*w - 4*d + 222*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2837762298 and -6.41.\nAnswer: -6.1262237702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 64 = i - 5*x, -5*x - 113 = 2*i. Let f = i + 51. Calculate the highest common factor of 14 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 6*b - 37. Let l(o) = -o**2 + 1259*o - 6266. Let u be l(5). Calculate f(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224.543147079 - -0.05?\nAnswer: -224.493147079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198 by -9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abbbddwwwbvg. What is prob of picking 1 v and 1 a?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-723)\/(-241))\/((-3)\/(-4)). Solve k*a + 14*w - 10 = 17*w, -4*a - 2*w = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2883661 to the power of 1\/2, to the nearest integer?\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3561754794, -3561754793, -3561754792, -3561754791?\n\"Answer: h - 3561754795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320741489 divided by -172349?\nAnswer: -1861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 20 (c) -2\/279\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/8 and 37\/155452.\nAnswer: 310904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 2 + (-4)\/2. Suppose -y - 4*p + 56 = m*y, 2*p + 24 = 2*y. Let w(n) = 7*n + 45. Let j be w(-6). Solve 2*q + y = j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*c = 16680 - 20537 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -999 or 12673?\nAnswer: -999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 3*w. Give j(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 1 + 1)*((31 + 8 - 89)*(-20 + 54 + 17) + (-1 - 3 + 3)*(-2 - 1 + 2) + (-1 - 1 + 1)*(3 - 1 + 0)) as a + p*i and give p.\nAnswer: -7653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 693435.5 millennia in months?\nAnswer: 8321226000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 33. Suppose 3*g + f*g = 0. Suppose u + g*u - 2 = 0, 0 = -3*k + 3*u - 9. What is the second smallest value in 1\/2, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and 41.\nAnswer: 2255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 27 + 11. Calculate the highest common factor of y and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 6:47 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1782 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 7:19 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 + 79. Let h(c) = -c**2 + 11*c - 4. Let v be h(f). Suppose 9*n - v*n = -51. Solve 2*g + 4 = n*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5674477 - -8884477. Round s to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9927329, 19854732, 29782139, 39709550, 49636965?\nAnswer: 59564384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3655*p**3 + 1081890*p**2 + 2960*p = 0.\nAnswer: -296, -2\/731, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -302 - -401. Suppose 4*v - 1043 = -l. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27536 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**4 - 184*m**3 + 1180*m**2 + 1368*m = 0. Calculate m.\nAnswer: -1, 0, 9, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21423 and 579.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (85297 - -13) + 11 + 10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r**3 + 7*r**2 - 7*r + 2. Let s(z) be the first derivative of 2*z**2 - z + 96 + 3\/2*z**4 - 4\/3*z**3. Give 7*s(d) + 4*t(d).\nAnswer: -2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25772 + -128862\/5. Which is the smallest value? (a) 21\/5 (b) 4\/9 (c) 0 (d) x (e) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5\/2 - 11913*n**4\/2 + 113033*n**3 - 475710*n**2 - 594700*n = 0.\nAnswer: -1, 0, 10, 11894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.24408 kilograms in nanograms?\nAnswer: 6244080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -171, -294, -417, -540?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19594025?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.8 - -10.8. What is the biggest value in r, -3, -43?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5657 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**4\/24 + 13*d**2. Let i(c) = -11*c. Determine b(i(o)).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 11:39 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -99? (a) 1\/3 (b) -0.1 (c) -372 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and (60\/(-50))\/(4424\/(-4400) + 1).\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w + 3*w + 11 - 14. Let m(u) = 2*u - 4. Let d(r) = -4*m(r) + 5*x(r). What is the first derivative of d(l) wrt l?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/7 (b) -44 (c) 0.02 (d) 0.17 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.57 - -13.57. Let k = -10.5 - -14.5. Which is the second smallest value? (a) v (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxdxxbdxabaxdaaabxx. Give prob of picking 1 d and 1 b.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s**2 + 217*s + 24. Let n be p(-28). What is the greatest common factor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.199 - 3.801. What is the closest to 2\/5 in 0.01, -7, d?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 448899755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3376)\/(-32) - 1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:14 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - -1. Suppose a = 2*c - 5. What is the remainder when 21 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -8. Suppose o*x = 2*x + 66. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 80 = -15543*x + 15539*x, 3*j + x - 41 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + (sqrt(4500) + -4 + 3*sqrt(4500) - (sqrt(4500) + sqrt(4500)*-1 + -2)))*6.\nAnswer: -60 + 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {o: 7, j: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(6\/15)\/((-44)\/(-1078)*7).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 4 - -1 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 350 and 1575.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/m**(-5\/2))\/m)\/m**(5\/3)*m**(1\/8)*m*m\/m**19 assuming m is positive.\nAnswer: m**(-361\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 3 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 8 - 17)*(3*w**2 - 5*w**2 + 0*w**2 + (4*w + 4*w - 6*w)*(5 - 5 - w)) as l*w**2 + f*w + c and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173 + -168. Solve -20 = 4*c - 3*c + b*n, 3*n = -c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -351 - -352. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Let x(g) = g**3 - 5*g**2 - 2. Let m be x(l). Is -2*1\/m*3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.778212 minutes to hours.\nAnswer: 0.0129702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-52))\/(33*37\/(-3256)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(75\/20))\/((-3)\/9)*-15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 3. Let c = 14 + -6. Suppose -40 = -h - c. Calculate the remainder when h is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24900 and 5?\nAnswer: -124500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/28 or 22?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -163, 29, -3\/4, -0.5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + -4. Let b = 25 + i. Suppose -5*c = 4*w - 116, -5*w + 7*c + 104 = 3*c. Calculate the highest common factor of w and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332046.\nAnswer: 2, 3, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + -10621?\nAnswer: -10647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26460297 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 5. Suppose 0 = -v*s - 6*s + 63. Let r = -309 - -317. Calculate the lowest common multiple of r and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-20 - -8) + 16\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdhrddrrrrrdhr. Give prob of sequence rhd.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q + 8. Let x(r) = 3*r + 3. Calculate -4*u(d) + 14*x(d).\nAnswer: 2*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280308277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 25. Let g(k) = k**2 + k + 2. Determine g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.12 and 37.59.\nAnswer: 37.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 383256566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 8*c + 2. Let u be i(-8). Let k be -1 + u + 1 + 149998. Suppose 0*r = r + k. What is r rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/33576 and -43\/39172.\nAnswer: 235032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 67*q + 76*q = 44, -5*u = -2*q + 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjw when three letters picked without replacement from wtjwbjcjj?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3633323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 7:00 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 802790 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (3\/(-1) + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/66 and 53\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 4*h. Let v(j) = j + 1. Let t(f) = g(f) + 4*v(f). Suppose -d = 3*d. Let n be t(d). Solve r + n - 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 896275*j + 35843000.\nAnswer: 5*(j + 40)*(j + 179215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 1)*(-21)\/(-42). Find the common denominator of (n\/(-4))\/((-3)\/27) and -49\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411.0716 millilitres in litres?\nAnswer: 0.4110716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107597 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 8:05 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 less than -34.4633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1404 by -5.\nAnswer: 1404\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 8*g**2 + 8*g - 6. Let k be c(8). Let z = 70 - k. What is the remainder when 155 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005563848 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 2*d + 11. What is the remainder when q(9) is divided by (-2 - 0\/(-4)) + 20 + -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19519 and 894?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 371*y = 2*l - 443*y - 314, 5*y + 85 = 5*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 18*z**2 - 47*z**2 + 23*z**2. Let c(l) = -2*l. What is b(c(p))?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*x + 4473 = -6780 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -2*n**3\/15 + 32*n**2\/5 - 88*n - 358. Determine g, given that u(g) = 0.\nAnswer: 10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c - 224 = 22*c. Sort -14, -3, c in descending order.\nAnswer: c, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 54 = -3*f - 24, -3*o + 70 = f. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23 + 7)\/(2 - 27\/12). What is the greatest common factor of 192 and c?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4282478 is divided by 199?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -166.3.\nAnswer: -166.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/9 - 62*d**3\/3 + 8218*d**2\/9 - 18658*d\/3 - 366776\/9 = 0 for d.\nAnswer: -127, -4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14715, -15000, -15791, -17346, -19923, -23780, -29175?\n\"Answer: -43*z**3 + 5*z**2 + z - 14678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81.05 - 81. What is the second biggest value in s, -0.3, 4\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-457250)\/(-217))\/118)\/(5\/14)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2, 815, -4, 3 in descending order.\nAnswer: 815, 4, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 5) to base 13\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 614704 - 0.42.\nAnswer: 614703.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 19}. Give prob of picking 1 u and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 4. Calculate h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 5*c + 1. Let l be n(-4). Let z(g) = 176*g**2 - 2*g - 9. Let d be z(-2). Let b(j) = j**2 + j**2 + j + 702 - j**2 - d. Calculate b(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1.4, 3, 0.5?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (8 - 2)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7*q**2 + 2 + 29*q**2 - 8.\nAnswer: 36*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 5*y**2 - 2*y - 6. Let k be n(-5). Let i = k - 7. Which is the nearest to -1\/2? (a) 4 (b) -1\/8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-10) - (0 - -1) - 1. Factor 0*p**3 + 0*p - 2\/5*p**2 + 0 + n*p**4.\nAnswer: 2*p**2*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*v + 2*v = -9, 4*o - 24 = 4*v. Let a = 1 + -1. What is the closest to 2\/3 in a, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 - 782*a - 149001. Let m(j) = -3*j**2 + 780*j + 149000. Let p(o) = 4*b(o) + 5*m(o). Factor p(u).\nAnswer: (u + 386)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5600238 divided by -5674\nAnswer: -987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860127920?\nAnswer: 2, 5, 17, 632447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.29352 to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 6980495.23 to the nearest one thousand.\nAnswer: 6980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 12*u**2 - 3*u - 91. Is o(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2530.476 and 38 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 - -189. Suppose 0 = 2*q + 4*b + 8, b - 9 = -q + 6*q. Put q, x, -5 in ascending order.\nAnswer: -5, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 25 - (-115 - -136)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*a - 3*j - 25, -a = -2*j - 9. Suppose -a*s + 3*g = g - 5, 3*s - 13 = -2*g. Factor -2\/9*d**2 - 2\/9*d**s + 0*d + 0.\nAnswer: -2*d**2*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*f**2 + 301*f**2 + 22*f**2 + 195*f**2 + 121*f**2.\nAnswer: 902*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y + 176. Let m be u(30). Let p be ((-27)\/(-12) + -1 + -2)*m. Solve 2*k - p*c - 2*c = -19, -k + 13 = 5*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0*j**5 - 16\/105*j**7 + 0*j**6 + 103*j - 173\/24*j**4 + 0*j**3 + j**2 + 0. Find the second derivative of s(i) wrt i.\nAnswer: -384*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29810 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -14 - -21*38\/(-57) - 30?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56*j**4 - 4*j**2 + 18*j + 88021 wrt j?\nAnswer: 224*j**3 - 8*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 2 - 5)*(18*v + 252*v + 725350 - 725350) to s*v + c and give s.\nAnswer: -3510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.109, 0.4?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22.32*-0.1\nAnswer: -2.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16110597983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5 + 52*w**4 + 5038*w**3 - 188768*w**2 + 1310080*w - 1126400 = 0.\nAnswer: -55, 1, 8, 32, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 10:30 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -13, -0.9, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 3 (c) -1\/5 (d) 3\/10 (e) 0.124 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyy when three letters picked without replacement from {j: 1, y: 7, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 17. Let a = 31 - 44. Let p = a + t. Calculate the remainder when 36 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1260 - 2*q - 3*q + 730 - 7*q + 13*q as b + g*q and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.25 + -0.4. Let o = 1.85 - z. Which is the third biggest value? (a) -2 (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4253909?\nAnswer: 11, 386719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3698, -3697, -3696, -3695?\n\"Answer: i - 3699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/18 + (-1056)\/(-1512) and 47\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94*b**3*y - 966802*b**2*y + 87*b*y - 1884*b + 16*y - 6 wrt b.\nAnswer: -564*b*y - 1933604*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16619 or -83094\/5?\nAnswer: -83094\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 49*a - 3. Let h be f(24). Let z = h - -25. What is the greatest common divisor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.717194114 rounded to three dps?\nAnswer: -7.717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -d + 49. Let b be 1 - (2 + d + 12\/(-2)). What are the prime factors of 3\/60*b + (-1094)\/(-8)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1762257 - 0?\nAnswer: 1762257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000821 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 557969.655 to the nearest one thousand.\nAnswer: 558000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/22, -1, -31, -1\/8 in decreasing order.\nAnswer: -1\/8, -3\/22, -1, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 - 13*f. Let y be u(3). Solve -x = 4*j + y, j + 11 + 0 = -5*x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2984946 weeks to days.\nAnswer: 2.0894622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*(-6)\/28 - (-101 + (164 - 61)). Put -1.76, -3, s in descending order.\nAnswer: s, -1.76, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(0 - 4) + 84. Suppose 4*n - f = -4*i + 3*i, -2*i = 3*n - 175. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 66700 and 1424056.\nAnswer: 1490756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15095064*j**3 - 5918668.\nAnswer: 45285192*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58469062.\nAnswer: 2, 29234531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**4 + h**4 - 2*h**4)*(2 + 0 + 0)*(955 - 1750 - 1215) in the form a*h**4 + b*h**3 + w*h + r*h**2 + c and give a.\nAnswer: 4020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1851115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3976 and 55888?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Suppose 3*u + 5*b + 5 = 0, q*u - b = 3*u + 1. Suppose 3*t - t - 4*d + 2 = u, d = 5*t - 40. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.1. Let v = -877.4 - -160.4. Let t = v - -717.3. Which is the closest to -1? (a) -5 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0026? (a) 1\/6 (b) 0.02 (c) 1 (d) 3 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 13. Solve a = 5*q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.364 times 0.95?\nAnswer: -0.3458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/(-82))\/((-1325)\/350 - (2 - 6))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259 - 245. What is the lowest common multiple of 22 and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-3)*18\/(-12). Suppose h*n = 4*w - 33 + 117, -2*n = 3*w - 17. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -14, 1749, -1, -3, -5 in decreasing order.\nAnswer: 1749, 7, -1, -3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (12 + 6) - (167 + -187)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-23 - 1768\/(-182))*(-2 + 463\/231) and 67\/66?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, e: 6, j: 1, o: 2}. Give prob of picking 1 j and 3 e.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y\/((y\/(y\/(y\/y**2*y))*y)\/y)))*y*y**(2\/7))\/(y\/y**(-1))**(1\/26) assuming y is positive.\nAnswer: y**(292\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 divided by 3?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 5*l, -40 = 3*l + 44*w - 39*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*o - 3, 43*y - 4*o - 2 = 41*y. Which is bigger: y or 1\/205?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Let i(j) = j - 2 - 6*j - r. Let l(u) = 4*u + 4. Suppose -d + 7 = 5*k + d, 16 = -4*d. Give k*i(n) + 4*l(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -8 - (-23)\/5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t + 27. List the prime factors of c(11).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 4116?\nAnswer: 20580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 28, 3, -3 in descending order.\nAnswer: 62, 28, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 2:59 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -34 in increasing order.\nAnswer: -34, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4286 + 14588. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -11*c**2 + 38*c + 15. List the prime factors of m(-6).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 9*a = -6. Let t be a\/((-24)\/26 + 1). Calculate the highest common factor of 182 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 6:41 PM?\nAnswer: 451","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 11361403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + k - k + 0. Let z(a) = -5*a - 2. Let o(h) = -6*g(h) - z(h). Is o(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/10 + (-1)\/(-2). Let o be (-3)\/((-1)\/(-2) - i\/1). Suppose 4*f + 28 = 4*d, 3*f + 14 + 11 = 5*d. What is the greatest common factor of d and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, x: 3, m: 15}. Give prob of picking 1 n, 1 x, and 1 m.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*d - 4*d. Suppose -2*k - 77 = k + 2*p, 0 = 4*k - d*p + 76. Let n = -11 - k. Solve 0 - n = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 745.526 to zero decimal places.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547351609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -379, -692, -1131, -1696?\nAnswer: -2387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38261\/35 - 1093. Which is the closest to -0.3? (a) q (b) -0.4 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4\/4 - 925*p**3 - 27637*p**2\/2 + 925*p + 55275\/4 = 0.\nAnswer: -3685, -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 + -6 - (-6672)\/480) + 451582\/20 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 242, 361, 480?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 14382 = 4*w, -3*w = -7*i - 4982 - 5783. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*k - 325 = k, 0 = 5*f - 4*k - 320. Suppose -58 = -l - 5*r, 0*l - 4*r = -2*l + f. Let c = l + 2. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l**(-2\/5)*l)\/l)*l))**49)**(-39) assuming l is positive.\nAnswer: l**(13377\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2 - p**2 + 5*p**2. Let m(z) = z**2. Determine m(k(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c - 2. Let y be q(16). Let i = y - -58. What is i rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 576.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 119061 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 18*o + 18 - 5 - 20*o. Suppose -6*r = -2*r - 36. Let a be f(r). Put a, 4, 2 in decreasing order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -11 - (7 - -34)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - r + 15. Let h(j) = j**2 + 16. Let d(l) = -5*h(l) + 6*u(l). What are the prime factors of d(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 49. Let i be n(37). Let h be (18\/(-3))\/(1\/3). List the prime factors of h\/(15\/i*(-12)\/(-20)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = 2. Suppose f*u - 10 = 12. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 144040 + 988*m - 144042 - 2*m**3 + 3*m**3 in the form c*m**3 + d*m**2 + s + h*m and give h.\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4533 + 8 + -20 + 6.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135659393*x**2 - x - 7175401?\nAnswer: 271318786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 19*p**2 - 14*p + 282. Let a be o(19). Solve 31*w - a = 26*w + 2*y, 12 = -4*y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 12:06 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -461 - 806. Let x = m + 1850. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1447 >= -1412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -3, -16, -5, -4775, 2.\nAnswer: -4775, -16, -5, -3, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 3.4 (c) 1\/12 (d) 0.4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9292203 litres?\nAnswer: 929.2203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(3 + sqrt(11) + 0)*-4 + -4)**2 + 5.\nAnswer: 13440*sqrt(11) + 44949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**5\/20 + 7*x**4\/12 + x**3\/3 + 3*x**2\/2 - 854*x. Suppose -d = t - 2, -8*t + 6*t - 4*d = 6. Calculate i(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -7, -15, -16 in descending order.\nAnswer: -7, -15, -16, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357856.56ns to hours.\nAnswer: 0.0000000994046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531 - 461 = -62*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3370, -3383, -3422, -3499, -3626, -3815, -4078, -4427?\n\"Answer: -2*p**3 - p**2 + 4*p - 3371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6931929 minutes in nanoseconds?\nAnswer: 41591574000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15360\/10752)\/(150\/(-252)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 48, -137, 6\/11?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 - 24 = -2*l, 0 = -3*b - 5*l + 64. Let r = b + -9. Suppose -y = r*y - 40. Calculate the greatest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 + (-9 - (53 - 54)) + (-2 - 1 - -25)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 1:35 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 0.5, 0.03, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/9 - 112*l**4\/9 - 386*l**3\/3 + 8608*l**2\/9 + 21224*l\/9 - 33440\/3 = 0. What is l?\nAnswer: -38, -22, -4, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/150*(-355)\/284?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15463491 is divided by 6891.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -306*r + 1204. Calculate m(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/36 + 70\/(-12). Let q be 4 + (0 + 1)\/1. Let n(r) = 4*r + 2*r + 6 - q*r. Determine n(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l + 43*l = -8265. Are l and -2756 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/8)\/(-195)*3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 9, 70, -2 in descending order.\nAnswer: 70, 9, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l**2 - l)*(-4 + 1 - 5)*(-20 + 17 + 9)*(4*l - l - 2*l).\nAnswer: -96*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + 4*i + i)*((i**2 + 3*i**2 + 6*i**2)*(-6 + 4 - 13) + 3*i**2 - 2*i**2 - 4*i**2) in the form j*i + y*i**3 + m*i**2 + p and give y.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 160*s**2 + 322*s + 675. Determine z(162).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/11 in 7\/13, 0.3, 2\/317, 1\/2, 1, -0.075?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3186985 and 57654?\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 - -65. Let o = 5 + 0. Find the third derivative of -18*f**o - 6*f**b + 7*f**5 + 22*f**2 wrt f.\nAnswer: -660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c - 1110671 = 16*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - -22. Suppose -4*u = -2*v - 2*v + 32, 2*u + 20 = 3*v. Suppose y + i = v*y. What is the greatest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2973075182 - -37.\nAnswer: 37.2973075182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + z**2 + 2*z. Let i(v) = 2*v**4 + 5*v**3 + 5*v**2 + 172*v - 262. Let f(l) = -5*c(l) + i(l). Differentiate f(y) with respect to y.\nAnswer: 8*y**3 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57240 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 - 8*b**2 + 8*b**2 + (0*b + 2*b - b)*(b**2 - 13 + 13 + b) in the form q*b**2 + i*b**3 + s*b + l and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2381925 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 81 + 27 = 0. Let h = 56 - y. Suppose -5*k + 44 = -k - z, -2*k - h*z = -32. Solve 3 = 3*i - k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 35760 = -9*n. Suppose -5*h = -2*b + n, -3*h + 4510 = 4*b - 5*h. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*2*sqrt(405) - 4*sqrt(405)*1).\nAnswer: -270*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-five halves of a hour?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1085 and 49.\nAnswer: -53165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112220123 (base 4) to base 8.\nAnswer: 265033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -12*s**3 - 14\/3*s**6 + 36\/5*s**5 + 4*s**2 + 1 + 5*s**4 + 0*s. Determine o so that g(o) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.28 - 12. What is the second biggest value in 5, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-18)\/4))\/((-10)\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2.9. Let m = 901 - 904.89. Let q = m - 0.11. What is the nearest to h in q, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 120*p - 5. Let u(j) = -j**2 - 120*j - 6. Calculate -6*i(t) + 5*u(t).\nAnswer: t**2 + 120*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -25. Suppose 0 = -5*i - 3*q - 24, -q = 3 - 0. Is (0 - -388)*i\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 620000 - l + 6*l - 620000 - 2*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-12) - 1\/3. What is the second biggest value in -1\/4, r, 1\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263670 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703.7858 millennia to years.\nAnswer: 703785.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -13.1. Put 4\/7, f, -0.2 in ascending order.\nAnswer: -0.2, f, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35\/6, 3, 14 in increasing order.\nAnswer: 3, 35\/6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**3 + 171*z - 171*z - 81 - 592 in the form d*z + p + a*z**3 + x*z**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384 - -218.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/((-4)\/24). Suppose -4 = -2*t + 3*p - 8, -11 = -3*t - 4*p. Let r(w) = 4*w**2 + w. Let f be r(t). Solve 14 = -j*h + f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1340 = -360*a + 324 - 2584 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 23*p**2 - 13*p - 34. Let s be l(-3). Let f = 676 - s. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040221 rounded to 4 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 1 + 1 + (-z + 2 - 2)*(-2 + 1 - 1) - 1 + 2*z + 1 - 2*z - 2*z + 3*z + 5*z - 1 + 2*z - 5*z)*(-2*z**4 + 20*z**4 + 2*z**4).\nAnswer: 160*z**5 - 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*i - 8*i. Suppose 6 = i*o - 3*o. Let g(k) = -k**3 - 6*k**2 - 1. Determine g(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13529 + -12935. Calculate the remainder when h is divided by 587.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l**3 + 16*l**3 - 13*l**3 + l**2)*(822 - 28 - 48).\nAnswer: -6714*l**3 + 746*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(81\/6) + (-280)\/252.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 - -463\/3. Let f = -239.6 - -244.6. Let p = 0 + 2. Which is the second smallest value? (a) p (b) s (c) 8 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*g**3 + 17*g**3 - 2755 + 95*g**3 in the form a + q*g + m*g**2 + w*g**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) + sqrt(102)*1))*6)\/(sqrt(6) + sqrt(6) + 2*sqrt(486) + sqrt(6) - sqrt(6)).\nAnswer: -3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214.8 less than 2300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -40 - (53 + -37).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -2\/15, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, j: 4, l: 1, e: 4, h: 7}. What is prob of picking 1 u, 1 l, and 2 j?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 31*c**2 + 174*c + 141. Give j(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131301, 131306, 131313, 131322?\nAnswer: 131333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**6\/15 + 8*s**5\/25 + 3*s**4\/10 + 5. Determine n, given that w(n) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17049 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1270385*h*j**2 - 788627*j**2 - 1 wrt h.\nAnswer: -1270385*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17127 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3508, 3282, 2886, 2314, 1560, 618, -518, -1854?\n\"Answer: -j**3 - 79*j**2 + 18*j + 3570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 take away 42665786324?\nAnswer: -42665786324.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1090 and 1962.\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -23*k**2 + 2*k + 1. Let t be p(5). Let c = -271 - t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**4\/3 - 5*r**3\/6 + 3*r**2\/2 + 2*r. Let v be f(-4). Let u = v - 50. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 19. Suppose -u = -4*m + 2, 10 = f*m + 2*u + 2*u. Suppose -3*v = -0*v + 12. Which is the biggest value? (a) m (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Let t be 10 + (k + -2 - 1). Let p = 3 + t. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.95 + 7. Let t = y + 0.95. Let x = -0.0894 - 0.0106. Which is the third biggest value? (a) t (b) -2\/13 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(75)*4 + 5)**2*-1*-2.\nAnswer: -1600*sqrt(3) + 38450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 + 22*q + 27. Let k be r(12). What is the third smallest value in k, -3\/4, -5, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 3915*b**2 + 7850*b.\nAnswer: -5*b*(b - 785)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -0.14517.\nAnswer: 2.85483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 15*g - 12. Let p be v(-16). Suppose 6*b - 5*r = p*b - 35, -62 = 4*b - 2*r. List the prime factors of (40\/b + 2)*-153.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, t: 1, g: 1, f: 1}. Give prob of sequence twf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5 + 43650*a**4 - 784614*a**3 - 9552002*a**2 + 11687616*a + 20411352 = 0.\nAnswer: -9, -1, 2, 26, 21807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47, 37, -5, -91, -233, -443, -733, -1115?\n\"Answer: -2*f**3 - 4*f**2 + 16*f + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10176?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - 5)\/6)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76778649 take away 33?\nAnswer: 76778616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4801552 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 millions digit of 53101899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/5 (b) 5 (c) 1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-6645.284.\nAnswer: -146196.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/800)\/(4 - (-62)\/(-15))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 6:09 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 1. Let z(s) = 36*s - 34. Let u be 1\/((-610)\/(-408) - (-57)\/(-38)). Give u*i(x) - 6*z(x).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 - 141. Solve b*w - 9*w = 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1, m = -12*d + 16*d - 35. Solve d*n = -2 - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -11?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - v - 4*v + 0*v**3 + 2*v**2 + 3*v**3 + 4*v + 24 to k*v + o*v**2 + m*v**3 + u and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 115831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (5 - -6 - (-10 + 19))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-2 - (2 + -2)). Suppose -21 = -o*t + 3*a + a, 3*a - 6 = -5*t. Factor -2\/7*b + 2\/7 - 2\/7*b**2 + 2\/7*b**t.\nAnswer: 2*(b - 1)**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 5:08 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u + 4*u + u. Let x(r) = -3*r**2 - 14*r + 14*r. Give x(j(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + (sqrt(448)*-1)**2 + sqrt(448))*-1 + 3*(sqrt(448) + -1 + sqrt(448)))*-1.\nAnswer: -32*sqrt(7) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9287846 and 2098?\nAnswer: 2098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g + 108 = -36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1787174.2 rounded to the nearest one hundred?\nAnswer: 1787200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 761001313 a multiple of 1830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/13 - 53\/39. What is the biggest value in 1, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 44 = 61. What is the remainder when k\/12*8*-1 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 22325 = -45. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-7 - (1 + (-9 - (11 - 15))))) + 65.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbyzyyzbzby. What is prob of picking 2 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3397 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1860.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69339 is divided by 34628.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52.21 + 0.79. Let o = 58.3 - n. What is o rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 60*w**2 + 230*w + 680. What is f(63)?\nAnswer: 3263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - 2*n + 4*n)*(1 - 2 + 3) + 3*n + 8*n - 7*n + (3*n + 2*n - 3*n)*(12 - 5 - 5) - 33*n + 63*n - 31*n in the form h + y*n and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 + 168\/272. What is the closest to 0 in 1\/6, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/78*(-4264)\/2460?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 3*p + 279, -3*x - 96 = 4*p + 197. Let f = 101 + x. What is the greatest common divisor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/5 - 41*r**4\/5 + 69*r**3\/5 + 359*r**2\/5 + 337*r\/5 + 18 = 0.\nAnswer: -1, -1\/2, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/50 and -133\/90?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-5))\/((-12)\/(-40)). Let u = 4 - a. Suppose u*z - 3*z = -3. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 + 7. Let f be 2 + (3 - 3) + -9. Let y(d) = -d**2 - 8*d - 1. Let v be y(f). Let q(x) = -2*x**2 - 3. Calculate v*c(a) + 14*q(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001111100110000001 (base 2) to base 5.\nAnswer: -122310121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*n - 17 + 63, 2*n + 28 = 3*x. Let q be (6\/4)\/(x - -5). Which is the second smallest value? (a) -2 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123628 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a + 62 - 51 + a**2 - 52. Let z be v(4). Let o(n) = 4*n - 5. Let c(m) = m - 2. What is z*o(r) - 8*c(r)?\nAnswer: 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k**3)**(-2\/3)*k**(-3)\/k*k**(-1\/7)*(k\/((k*k\/((k\/k**(1\/4))\/k)*k)\/k*k*k*k))**(5\/6) assuming k is positive.\nAnswer: k**(-395\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7260 - 7260. Is 20\/163 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-20) + (-30)\/(-56). Let c = 56.6 + -65. Let f = 8 + c. What is the second smallest value in x, -2\/7, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3\/5 + 276*v**2\/5 + 424*v - 480 = 0. What is v?\nAnswer: -60, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 35*x**2 - 70*x + 40.\nAnswer: -5*(x - 4)*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00050691571 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -882, -79, 2 in descending order.\nAnswer: 2, -79, -882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 + 167*x + 89. What is the tens digit of c(-60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 1 + 2 - -331. Let a = 987 - m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Let v(q) = -q**3 - 5*q**2 - q - 2. Let i be v(-5). Let m(l) = -l + 6. Let t be m(i). Put -2, t, d in ascending order.\nAnswer: -2, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x = 5*t + 13, 4*x = 3*t + 31. Suppose 3*j - 5806 = 4*p - 9*p, -x*j = p - 7747. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 875657 (c) 2 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 38*f - 35. Let b(t) = 14*t**2 + 285*t - 247. Determine 2*b(q) - 15*o(q).\nAnswer: -2*q**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -1)\/(-4 + 2). Suppose -2*y + x*k = -4*k - 52, 2*k = -3*y + 62. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 20. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5035, -5133, -5297, -5527, -5823, -6185?\n\"Answer: -33*k**2 + k - 5003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*-1*230\/(-69). Let k(m) = 26*m + 52. What is the units digit of k(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6569 - 7013. Which is smaller: -2221\/5 or q?\nAnswer: -2221\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44242780717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92988 and 748440?\nAnswer: 30686040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/(8892\/2470)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 391400?\nAnswer: 1174200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 871849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j + 3. Let o be a(-2). Let u be -3 + (10\/35 - 2\/7). Put o, 5, -4, u in decreasing order.\nAnswer: 5, u, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 3*p - 1. Let i be k(-3). Let w(v) = 5*v**2 + 4 - v**3 + i*v - 10*v + v**2. Let t be w(6). Which is smaller: t or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 404*l - 8022. Determine s(24).\nAnswer: 1674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 18, 4, 4\/5271?\nAnswer: 4\/5271","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + 0.05. Let f = -14 - -13.8. Which is the smallest value? (a) f (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 1, v: 1}. Give prob of sequence uf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2047\/4 (b) 3 (c) -4 (d) 310\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (115 - 115 + 19*o)*(-2*o - 5*o - o - 2) to t*o + k*o**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 87402262.\nAnswer: -87402261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-12)\/t)\/((t\/((t\/t**(-2))\/t))\/t))\/((t\/t**(-3))\/(t\/(t*t**(-6)*t)*t)))**(5\/6) assuming t is positive.\nAnswer: t**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 11. Let j be q(-10). Suppose -3*u - 3*g + 2*g - j = 0, -2*u - 2 = 2*g. Solve u = 5*c + b + 1 + 2, -2*c - 12 = -5*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {h: 2, k: 1, m: 1, b: 6, s: 9}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 7*j**2 - 5*j. Let h be f(6). Suppose -h = -3*w - 0*w, -5*y + 2 = w. Let s be 2\/(-21)*(-7 - -1). Is s <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -325*s**4 + 191 - 108*s**4 + 838*s**4 - 750 wrt s?\nAnswer: 1620*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 8*v - 2*v. Solve r = -v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, -552, 0 in decreasing order.\nAnswer: 0, -227, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 6. Determine c(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rccccyrccrcrryc. Give prob of picking 3 c.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 38 + 34 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4680\/(-13))\/(-8)*6\/(-264)*-4\nAnswer: 45\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42878 is divided by 21268?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -112.8 and -695.9149?\nAnswer: 583.1149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2726, 1\/6, -1.6?\nAnswer: 2726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -14 (c) 9\/5 (d) -4\/5 (e) -9 (f) 7 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 8:33 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -35408.1 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**3 + 3*k**3 - 2*k**3)*(-191 + 22*k + 191)*(-3*k - 3*k + 4*k).\nAnswer: 220*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -657\/2 - -329. Sort -4, 0, u, 6 in descending order.\nAnswer: 6, u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5396 + 5468.69. Let d = f - 72. What is d rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343791.1ug in tonnes?\nAnswer: 0.0000003437911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240503 (base 6) to base 5.\nAnswer: -1132134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42\/5 of a century?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2\/5*l**4 + 42*l**2 + 100 - 110*l - 34\/5*l**3 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227652 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311582380?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131954 * -2.59.\nAnswer: -341760.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = 10. Let g = -6 - w. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2497 - 1.9797. Let j be (-1 - -3)*10\/(-4). What is the fourth biggest value in 4, l, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2422680 by -121134.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 3*h**2 + h - 4. Let i be m(2). What is the closest to -1 in -2\/7, 0.05, -7, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29512 divided by -119.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4\/3 - 716*j**3\/3 + 13424*j**2\/3 + 142784*j\/3 + 103168 = 0. Calculate j.\nAnswer: -4, 31, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18846919 and 720?\nAnswer: 18847639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1183914 and 730?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -132917107 and -0.14.\nAnswer: -132917107.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2\/21 (c) -155 (d) 517 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = 1541 + 2 - 125766. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 183 and 106986.\nAnswer: 19578438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -51.5, 3552, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a53563 - 5?\nAnswer: -4a53568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6\/131045?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -834*n**2 - 421*n - 49281931.\nAnswer: -1668*n - 421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 787 divided by -32\nAnswer: -787\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 16*t - 16. Let m(o) = -o**2 - 5*o - 5. Calculate 10*m(u) - 3*p(u).\nAnswer: -4*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, y: 7, f: 3}. Give prob of picking 2 f.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4597596 + -17.057\nAnswer: 4597578.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -b + 7, 2*p + 2 - 4 = 0. Suppose 2*d + b*u = 23, 2*u + 2*u + 4 = 4*d. Let f = -84 + 88. Solve 2*v + 0 = d*n + 2, 17 = -f*n - 3*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -657.7 - -657.8. Which is the nearest to -2? (a) -1\/4 (b) q (c) -2\/125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/7 (b) -1\/24 (c) 2 (d) 4 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 4*a**2 + 3*a**2 + 2*a**2 - 2*a**2 + 6*a**2 + (3*a + 4*a - 2*a)*(2*a - 2*a + 2*a).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -113.425 and 0.5.\nAnswer: -56.7125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:18 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + c = 9*g - 46, 0 = -4*g - 5*c + 58. What is the highest common factor of g and 879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 16*r + 2. Suppose -o + 4*m - 6 = 0, -5*o - 2*m - 6 = -o. Let d(w) = 5*w**2 + 80*w - 11. Determine o*d(n) - 11*l(n).\nAnswer: n**2 + 16*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 467012533 or 2?\nAnswer: 467012533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*k**3*l**2 + 3*d*k**3*l - d*k**2*l - 526*d*k*l - 6*d*k + 11212*d*l**2 - d*l - 222*k**3*l**2 wrt l.\nAnswer: -2*d*k**3 + 22424*d - 444*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 9. Let q = -1130 + 1129. Let s be q\/3*-14 - (-8)\/24. Solve 10*x - 40 = s*x - 3*b, r*b - 25 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 0*q**2 + 2*q**2)*(-10*q - 12*q - q)*(-5 - 2 + 9 - q**2).\nAnswer: 115*q**5 - 230*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25368 and 32.\nAnswer: 101472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*y + 9 = 0, -5*r - 2 = -3*y - 17. Suppose r*f + 10 = -2. Let g(a) be the second derivative of 2*a**3\/3 + 5*a**2\/2 - 89*a. What is g(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 90 = -3*r. Suppose -3*p + 18 = 9. What is the second derivative of -179*f**2 - r*f - 3*f + 179*f**2 - 18*f**p wrt f?\nAnswer: -108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58.14 - 1.86. Let q = 59 + s. Let n = 0.2 + -0.7. Which is the smallest value? (a) q (b) 1 (c) n (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -34. Let f(s) be the third derivative of -s**6\/120 - s**5\/15 - s**4\/24 - s**3\/6 + 2*s**2. Give f(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 14*f + 36. Suppose -4*z + f = j + 2, -3*z - 5*j + 1 = 0. Solve 0 = 3*n - 2*v + z, -3 = -2*n - 3*v - 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -21. Let r(v) = v + 10. Let a be r(-13). What is the tens digit of ((-208)\/c)\/((1\/a)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75266 (base 8) to base 4\nAnswer: 13222312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = -2. Calculate the greatest common factor of 3 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1634747, -1634751, -1634755, -1634759, -1634763, -1634767?\n\"Answer: -4*c - 1634743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4 - 10209*c**3 + 71316*c**2 = 0.\nAnswer: 0, 7, 3396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 624534 a multiple of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/65714 and -3\/6817261.\nAnswer: 395401138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -412 - 374415?\nAnswer: -375027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/9974 and -75\/302?\nAnswer: 1506074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(5 - 36\/(-42)*-7). Let v(g) = 2*g**3 - 7*g**2 + 4*g. Let f be v(4). Suppose d + m = f. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 10*q - 5*q - 1, -4*q = 5*r - 11. What is the nearest to q in 0.4, 1, 7\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**2 + z - 22. Let o(t) = 5*t**2 - 11. Let n(j) = -4*b(j) + 7*o(j). Calculate n(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 + -1.1. Which is the second smallest value? (a) 1 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = -6. Calculate the remainder when 27\/(-243) - 1*631\/(-9) is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 85.06 and -0.13.\nAnswer: 84.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 4*u + 984 - 492 - 487. Let h(n) = n + 1. Calculate -a(j) + 4*h(j).\nAnswer: 2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*h - 76*h + 98 - 32. Solve 53*r = -4*q + 48*r + 8, h = 3*q + 5*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 + -73. Let u(b) = -3*b**3 - 22*b**2 - 16*b + 13. Let h(f) = 2*f**3 + 15*f**2 + 11*f - 9. Let g(a) = y*u(a) - 7*h(a). What is g(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*-0.05\nAnswer: 0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.95 - -24. Which is the smallest value? (a) 3 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 7*o**6\/15 + 41*o**2\/2 + o - 13. What is the derivative of m(c) wrt c?\nAnswer: 56*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/155 and 29\/155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79, -96, -125, -172, -243, -344, -481, -660?\n\"Answer: -l**3 - 10*l - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -439\/166 or -3?\nAnswer: -439\/166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*r - 72 - 68, r = -5*k + 36. What is the common denominator of -5 + (-214)\/(-16) + (-24)\/(72\/12) and (r\/(-6))\/((-15)\/(-5))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2793 and 264.\nAnswer: 737352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*g**2 + 582*g**2 - 192*g**2 - 199*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75.99 - 76. Sort 3, i, -4.\nAnswer: -4, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 8 = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 694246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245*-427.84.\nAnswer: -104820.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -910 + 910 - 5*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 218 - 221. Sort -1, -4, 4, t in decreasing order.\nAnswer: 4, -1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 4*q**2 - q - 1. Let y be 57*(-2)\/(-42) + (-2)\/(-7). Suppose -5*a + y*r = 24, 5*a + 3*r = -2*r. Calculate n(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -16*c**3 + 11*c**2 + 11*c + 11. Let u(p) = -3*p**3 + 2*p**2 + 2*p + 2. Suppose 97*f + 556 = 13*f - 55*f. Determine f*d(o) + 22*u(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 2*c + 2. Suppose 3*o = -4 - 2. Let u be h(o). Suppose -u*n + 3 = -7. Solve -s - 50 = 4*s - 5*m, -2*s + n*m - 35 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 - 3*p - 4. Let n(j) = -7*j**2 - 7*j - 9. Let d(b) = -4*n(b) + 9*s(b). Is d(-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7592865\/166 - 45740. What is the common denominator of c and -28\/9?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a + 67*a = 1211 - 4067 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*h, -5*h + h = x - 126. Suppose -n = g - 30, -x = -4*g - g - 4*n. Calculate the remainder when g is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449551*s**3 + 2 - 2 + 2*s**2 + 162516*s**3.\nAnswer: -287035*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 20. Let i = -12 - m. Let c = i + 4. Which is smaller: 4\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -709*k + 714*k. Sort 5, 8, k, -2 in ascending order.\nAnswer: k, -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*l**4*y + 3*l**3*y + l**2 - 4*l*y + 5*l - 3 wrt l?\nAnswer: -168*l**2*y + 18*l*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -4, -4\/9, -356\/449, 0.4 in descending order.\nAnswer: 0.4, -1\/9, -4\/9, -356\/449, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 4*c**2 - 15*c - 4. Let p(u) = -3*u**2 - 14*u - 3. Let m(b) = -3*j(b) + 4*p(b). What is the second derivative of m(g) wrt g?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 m when four letters picked without replacement from mjjjxjjjjmmmmmjmjmm?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:12 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37454?\nAnswer: 2, 61, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + (sqrt(1088) - 3*sqrt(1088)))**2 + (sqrt(1088) - -2*sqrt(1088))**2*5).\nAnswer: -213284 - 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*y**4 - 122*y**4 - 3*y**2 + 237*y + 2*y**2 to l*y**3 + h + f*y**2 + t*y**4 + c*y and give c.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 235*o**2*z**2 - 5*o*z**2 - 5269*z**2 wrt o.\nAnswer: 470*o*z**2 - 5*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1034400 - 10?\nAnswer: 1034340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-10))\/(2\/10). Let x(v) = v + 15. Let u be x(-12). Let a be (u\/6)\/((-1)\/6). Which is bigger: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 6:36 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/(-672) - (-28)\/(-3234)*11\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 179*d + 173. What are the prime factors of w(3)?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-88)\/(-256)*16)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -243992 + -0.55\nAnswer: -243992.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -641 (base 15) to base 13.\nAnswer: -847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187834*x**3 - 375418*x**3 + 187808*x**3.\nAnswer: 224*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3 - 1. Let g(p) be the third derivative of -7*p**4\/24 + p**2. Is g(y) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1412151\/318224 - -2\/19889. Let g be (-8)\/(-2) - (-6 + -230 + -6). What is the common denominator of g\/(-108) + (-1)\/3 and w?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -558.037 - -557. Let n = 0.486 + b. Round n to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from rwwhhrhwhwrhh.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 455\/194 - -8\/679. Calculate the common denominator of 19\/10 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -51*p + 250. Let i be v(5). What is the second biggest value in i, 128, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4524 and 24834.\nAnswer: 18724836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*u + 299*u - 6*o = -9, -u + 2*o = 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f + 1. Let d = 231 + -228. What is u(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24518 by 1886.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4*-340265\nAnswer: 1361060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 - (-8)\/20. Let d(w) = -2*w**3 + 5*w**3 - 2*w**3 + 4*w**2 - 3*w**2 - w + 9. Give d(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -472 * -0.13.\nAnswer: 61.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 6*r**2 + r + 14. Calculate the remainder when 99 is divided by m(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115220 - -1?\nAnswer: -115216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/10421 + 343879\/72947. Calculate the common denominator of n and 43\/114.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.245 and -0.337.\nAnswer: 0.419565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000016 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q. Suppose 5*m - 91 - 109 = q. Calculate the highest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 - (-60)\/25. Solve -4 = q*r, -3*i + i = -5*r - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3622359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147 - 135. Suppose 4*j - s = -4*d, -4*d + 6*d - j = 0. Calculate the greatest common factor of d and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1323 + -1163. What is the least common multiple of b and 640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**6))\/((w\/(w*(w*w**6)\/w))\/w)*(w\/(w*w*w**(-3)))\/w*w*w**(-5\/2)*((w*w\/(w\/w**(2\/7)*w)*w)\/w)**(-16)\/(w**(-3)\/(w**(1\/3)*w)) assuming w is positive.\nAnswer: w**(515\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1.3, 288, 5, 0.1 in descending order.\nAnswer: 288, 5, 4, 1.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -914563*g**3*j**2*y**2 - g**3*j*y**2 + g**3*j + 45*g**3*y**3 - 321*g*j**2*y**3 + 15*j*y**3 wrt y.\nAnswer: 270*g**3 - 1926*g*j**2 + 90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 64 = -5*s. Suppose w = -j + 245, 2*j - 64*w - 490 = -67*w. What is the highest common factor of j and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 2*t**3\/3 + 3*t - 2. Is 11 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f\/((f\/(f\/(f*f**(1\/8)*f)))\/f))*f)\/(((f**(-1)*f)\/f)\/f)*(f**(-5\/2)\/f)\/(f**(-2\/13)\/f) assuming f is positive.\nAnswer: f**(393\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-3)*1035\/(-46). Suppose 33*o - 639 = x. Solve 3 = 3*f - 9, v + 5*f - o = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 6:40 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 23. Is 29 != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/63 and 65\/5673262.\nAnswer: 51059358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -19*g - 1\/2*g**2 + g**3 + 22. Let o(x) be the first derivative of v(x). Give o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-15)*(-2)\/(-2). Let m = -7.2 - -12.7. Let v = 6.5 - m. Which is the third smallest value? (a) d (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 4)*(0 + 0 - 1) + 5 - 1 - 6)*(0*x**3 + 2*x**3 - 4*x**3).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*d = -221*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 4*s**5\/5 + 3*s**2 - 80*s + 1. Let p(u) = -26*u**2. Give p(l(q)).\nAnswer: -59904*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-34)*((g*g**(1\/3)*g*g)\/g)**33)**18 assuming g is positive.\nAnswer: g**1386","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -48)*2\/(-4). Let d = t - -23. What is the tens digit of (-1 - (-48)\/(-3))\/(d\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/25 + 14\/10. Suppose p + 4 = 3*v. Let -12\/7*b**4 + 0 + 3\/7*b**5 - 12\/7*b**v + 18\/7*b**3 + 3\/7*b = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3 = -6*v. Suppose 0 = g - 19 + v. Let u be (3\/(-12))\/((-12)\/g). Sort -3, 0.5, u in decreasing order.\nAnswer: 0.5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10)*d)**(2\/31)*(d\/(d**(-25)\/d))\/d**(-19) assuming d is positive.\nAnswer: d**(1408\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-24) - (-106)\/(-8). Let m = c - -16. Let a be (-4)\/(-6)*12\/4. Solve 2*g + 9 = m*g + 4*t, -a*t + 7 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d - 22. Let b be n(-4). Solve -j + 5 = -b*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.177 - -0.87.\nAnswer: 0.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a*a)**7*((a*a\/(a*a**(2\/9)*a))\/a)**(3\/14)*(a**(10\/7)\/a*a**(-2\/17)*a)**28 assuming a is positive.\nAnswer: a**(31019\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + -1 + -3 + (-29 - -31)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + 140\/16. Let m = g - 28\/3. What is the biggest value in m, -8, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 + (5 - (5 + -3)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2170 is divided by 353.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - p**5 + 0 + (p**3 + 0*p**2 + 0*p**2)*(2*p**2 - 3*p**2 + 0*p**2) + 2*p**5 - 2*p**5 - 2*p**5 - p**3 + p**3 + p**5.\nAnswer: -3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16908598?\nAnswer: 2, 7, 1207757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -1, -22, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 divided by -54.\nAnswer: 107\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d - 12 = 0. Let n be (-1)\/((63\/d)\/3). Let x = 3 + -2. Is n at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16.08 and -126.\nAnswer: -109.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -1156\/25 in descending order.\nAnswer: 3, -2, -1156\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 45, 1, 162.\nAnswer: 1, 7, 45, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**4\/12 + 2*a**3\/3 - a**2 + 4*a - 3. Let k(l) be the first derivative of q(l). What is k(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 448408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqvvq. What is prob of sequence qqvv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3238129, -3238130, -3238133, -3238138, -3238145?\n\"Answer: -a**2 + 2*a - 3238130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from sssshssssjsjh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 172 = 6*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86\/7*8*(-2)\/((-32)\/14) is divided by 0 + (-6)\/2 - -26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2226842 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1232 and 84782544?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*d, 0 = -6*z + 2*z - 5*d + 26. Suppose 4*k - 31 = k - 2*r, -z*r = -k - 13. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*m + 4, 0 = -5*y + 2*m + 26 - 30 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125*(-22)\/1650*(-12)\/50*(-2)\/102?\nAnswer: -2\/255","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - 15304\/44 - 2\/11. Let o = d - -349. Let z(a) be the first derivative of -a**2 + 7*a - 1. Determine z(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -7. Calculate the smallest common multiple of v and -4 - -6 - (1 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*c + 48. Let l = c - -3. Solve 6*y - l = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1610, 248, 2.\nAnswer: 2, 248, 1610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/34 and -10\/21?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -431\/33926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 2*b + 2*b + (-5*b + 34 - 34)*(-4*b + 4*b + b)*(15 - 58 + 27) to the form p + v*b**2 + r*b and give v.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 > -122.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -cbb91?\nAnswer: cbb8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 2. Let t be i(2). Suppose k - 4*o - 34 = 0, 3*k + 10 = 4*k + t*o. What is the remainder when k is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*f. Let g = -0.4 - 1.6. Which is the closest to f? (a) 2\/13 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363636 is divided by 121193.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*o = -179 - 229 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22379974.2 rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/10)\/((-496)\/1550))\/((-315)\/(-168))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16627 is divided by 504.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -475, -63, 2, 3?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (11 + 1 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let u = -7 - 4. Let o = u + 9. Which is the nearest to q? (a) o (b) 3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-1*sqrt(95) - sqrt(95))*-1)\/((sqrt(5) + 1*sqrt(5))*1) - (sqrt(76) - (sqrt(76) + (sqrt(76) + sqrt(76)*2)*2))\/(sqrt(4) + 4*sqrt(4)*-2))**2.\nAnswer: 6*sqrt(19)\/7 + 460\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 7*m**2 - 10*m + 15. Determine u(7).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -14. Let l = 9 - n. Let p = 10 - 11. What is the third biggest value in 4, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 2 + (5 - 1 - 2)*(-6 + 1 + 2) + 3 - 6 + 0 - 1252 + 2501 - 1255)*(2*u**2 + 0*u**2 + 0*u**2) to the form t*u + p*u**2 + b and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367, 366, 365, 364?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 - 384 = -4*r. Suppose 0 = 2*o - s - 29, 37 - r = -5*o + 4*s. Calculate the lowest common multiple of o and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-3)\/2*-7.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/38 - 2\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14505937663 and 640.\nAnswer: -14505937023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 16*j**3 + 3*j**2 - j + 2. Let m be o(5). Let n = 161 + -145. Calculate the remainder when (-50)\/275 - m\/(-22) is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12686344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m**2 + 47*m - 2. Let w(v) = -34*v**2 + 235*v - 11. Let x(l) = 11*c(l) - 2*w(l). Find the second derivative of x(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138 + 76 - 29 + 223*n**2 + 70*n**2 + 11 wrt n.\nAnswer: 586*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2952, 2916, 2856, 2772?\nAnswer: 2664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p**4 + 0*p**2 + 1\/3*p**5 - 1\/3*p**3 + 0*p + 0.\nAnswer: p**3*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 1. Calculate the remainder when p(-7) is divided by ((-3)\/((-6)\/(-14)))\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Rearrange 344*y - 344*y + 31*y**2 to the form a*y + g + l*y**2 and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61221925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 14. Let n = -21 + 26. What is the highest common factor of d and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -579 + 583. Suppose h = z - 17, -3*h + 9 = z + i. Solve z*d = 15*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d = -4*m - 20, 0 = -5*d - 2*m - 10. Suppose d = 5*q - 0 - 30. Is (0 - 4)*(q - 14) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-7) - 6*4\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - t. Let i(d) = -2*d + 8*d**2 + d**3 + 3*d**2 + 0 + 16*d**2 - 2 - 12*d**2. Let f(q) = -i(q) + 4*s(q). Let o be ((-7)\/2)\/(1\/2). Calculate f(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/2 - 5901*g**2 - 23601*g\/2 - 5900 = 0. What is g?\nAnswer: -11800, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 86 + 275 = 0. Let b = p + 130. Let s = b - 60. Calculate the lowest common multiple of 1 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1 + (3 - 1)). Let h be (o - 2\/4)\/(-1). Let s = 59.1 + -59. Which is the closest to 3\/10? (a) h (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/60 + o**4\/4 - 61*o**3\/2 + o**2 - 1785. Determine q(0).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -20 in decreasing order.\nAnswer: 0, -13, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 6*p + 2. Let n be y(-4). Let v be ((-1)\/(-24))\/((-3)\/n). Let z = v - -683\/252. What is the common denominator of z and -71\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 199489194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = 3*x - 2*q, -5*q - 109 = 5*x - 2*x. Let i = 72 + x. Let z = i - 44. Let k(l) = -l**2 - 11*l - 4. What is k(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 1. Let u be z(-1). Let n be u\/2 - (-1 + 1). Solve y - y**2 - n - 3*y + 4*y = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -178039, -356079, -534119, -712159, -890199, -1068239?\n\"Answer: -178040*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02648 * 0.18.\nAnswer: -0.0047664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63387811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -1, -16, -4, 2 in descending order.\nAnswer: 55, 2, -1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Calculate the lowest common multiple of n and (-346 - -5)*-5 - 7\/(-1).\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/11 in -1, -2, 2, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3\/5 - 22*n**2\/5 - 2*n\/5 + 22\/5 = 0?\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -64. Which is the closest to 1? (a) -2\/25 (b) 2\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighty-eight fifths of a decade?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 8*w**2 - 400*w - 1697. Let l(x) = -3*x**3 - 9*x**2 - 403*x - 1698. Let p(h) = -9*c(h) + 8*l(h). Differentiate p(t) with respect to t.\nAnswer: -18*t**2 + 376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1322*g**2. Let t(u) = 7*u**2 + 8*u - 8. Let k(m) = -12*m**2 - 14*m + 14. Let v(y) = 4*k(y) + 7*t(y). Give n(v(f)).\nAnswer: 1322*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4694900 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -82, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 + 432352*f - 7782344\/9.\nAnswer: 2*(f - 2)*(f + 1945586)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23367587 to the nearest integer?\nAnswer: 4834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/6, -4, 3, 3\/4, 5, -9\/7 in descending order.\nAnswer: 5, 4, 3, 3\/4, -1\/6, -9\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 320*v**5 - 114*v**5 - 100*v**5 + (v**2 + 3*v**2 - 9*v**2)*(v**3 + 2*v**3 - v**3).\nAnswer: 96*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2. Let y(l) = -l**3 + 6*l**2 - 5*l + 9. Let m be y(5). Let u be 11 + -2*m\/6. Let d(r) = 5*r - u*r + 4*r. Determine d(j(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m + 23 - 44. Let p be m\/48*(5 - 3). Which is the nearest to 1\/2? (a) 2\/7 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeex when four letters picked without replacement from {e: 5, x: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, v: 3, g: 5, i: 1, d: 3, f: 4}. What is prob of picking 1 g and 1 v?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 4*l. Let r be d(-6). Let i = 156 + -171. Is 13 a factor of i*((-40)\/r + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931362 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 0 + 1\/28*a**4 + 34\/7*a**3 + 1734\/7*a**2 - 88*a. Factor t(s).\nAnswer: 3*(s + 34)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7052 - 0.2948. What is the second biggest value in 19, x, 50, -0.1?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/237*(-2)\/(-5). Let t be (5 - 36*(-10)\/(-40)) + (1 - -3). Which is smaller: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*z)*(z**2 - 4*z**2 + z**2)*(9*z + 17*z - 24*z + 44*z**2).\nAnswer: -176*z**5 - 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 135, 32, 20, 5 in decreasing order.\nAnswer: 135, 32, 20, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -11*j. Let q be (2\/4 + 0)\/((-8)\/(-16)). Let h(m) = 2*m. Let z(a) = -10*a. Let s(t) = q*z(t) + 4*h(t). Determine s(f(n)).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 1\/4, 1.6, 0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 191460 divided by -47865\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*z + 4*i, -3*z = 2*z - i - 35. Suppose -3 = -5*v + z. Suppose -v = m - 34. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65760312 divided by -6\nAnswer: -10960052","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {x: 9, w: 10}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x + 244. Let v(l) = 9*l - 243. Let k(a) = -2*v(a) - 3*w(a). Let t be k(41). Put -4, t, -182 in descending order.\nAnswer: t, -4, -182","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54765923 is divided by 319.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-60)\/(-9) - (-2)\/6. Let r(t) = -t**2 + 2*t + 2. Let v be r(g). Let k = -15 - v. Solve -3*s = -6 + k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/68*3\/102. Let i = -588\/1445 - f. Let s be -7 + (2 - 64\/(-12)). Which is the nearest to s? (a) i (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167138762 to the nearest integer?\nAnswer: 12928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*t - 10*t - 3800 = 0 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304a (base 14) to base 2.\nAnswer: -10000001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 101*b - 850. Calculate i(92).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 605 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 14*m + 8*m. What is the fourth biggest value in m, -11, -1\/8, 1\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10092615 and 5767.\nAnswer: 797316585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 - 96. Let u = a + 30. Suppose -12 + u = -4*f. Sort -2, f, -5 in decreasing order.\nAnswer: f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.5 - -22. Which is the biggest value? (a) -0.1 (b) i (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6. Suppose -2*o + 272 = -2*v + 6*v, 5*o + 4*v - 686 = g. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -930 + 959. What is the remainder when 31 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + m**2 + 3*m - 22. Let n(d) = 3*d**3 + 2*d**2 + 7*d - 43. Let v(w) = 5*g(w) - 3*n(w). Is v(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 77?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n**3 + 35*n**3 - 18*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-5) - 4*9\/(-30). Let u = 3 + -6. Let s(f) = -f**3 - 3*f**2 - 2*f - 3. Let x be s(u). Solve j = -x*z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -108 and -30.2.\nAnswer: 3261.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w**3 + 3*w**2 - w. Let i be b(2). Let d = i + 18. Let o = -21 - d. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 - 4*a**2 + 4*a + 4. What is w(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -578362092 divided by 20655789?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1291 = -2*s + 5*i, s + 14*i - 16*i - 644 = 0. What are the prime factors of s?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 + -276. Let z = -249 - j. Let m = z - 125.0000077. Round m to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 3*w**3 + w**3 + w**3 - 7*w + 6*w**2 + 1. Let f be m(5). Put -2, f, -0.1 in increasing order.\nAnswer: -2, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -284, -2239, -7518, -17789, -34720?\n\"Answer: -278*g**3 + 6*g**2 - 27*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 44\/3*o**3 + 242*o**2 + 0 + 1\/3*o**4 - 36*o. Factor a(k).\nAnswer: 4*(k + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**6)**17)**(-19) assuming m is positive.\nAnswer: m**1615","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - y + 71 = -2*y + 2*g, 2 = g + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.90851 - 0.91. What is z rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3314 = 3*x + 7*z, -8*x - 2*z = -4*x - 4404. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**2 - 106*o + 106*o)*(2*o - 2 + 2)*(3389 - 3389 - 227*o**2).\nAnswer: 2724*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -533923.07090983 - -534263.07461. Let n = 318.0037 - m. Let b = -22 - n. What is b rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 146 = -2*f, a - 4*a = -4*f - 82. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-12 + -33) - 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 45, 5, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3017140105.\nAnswer: 5, 7, 86204003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**2 + 5*z - 2. Let n be s(-4). Let o = n - 32. What is the remainder when o is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -1170, 8?\nAnswer: -1170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*d - 33*d - 39*d + (32*d - 24*d - 23*d)*(3 + 2 - 4) to the form n + p*d and give p.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197 + -206.3. Let y = 7.3 + k. Which is the closest to 2\/5? (a) -2\/9 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-20))\/((-2)\/10). Suppose 2*b = -3*g - 8, 4*b = -0*g + g + 12. Calculate the greatest common divisor of r and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 12*i**2 + 16*i + 10. Let a be y(-11). Let g be 20\/a*(-201)\/2. Let x = g - 45. What is the nearest to -1\/2 in 4, x, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 11) in base 13?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -1 - (-21 - -21)) + -1 + -26\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*q = -71*q - 352 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/(2\/(-78)). Suppose 0 = 3*t - 9, q + 5*t - 3*t + 162 = 0. Let h = 175 + q. Solve 4*a + h = 3*k, 2*a + k = 2 - b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6291464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 = 3*f. Let j(z) = -f - 7*z + 10 - z**2 + 0 - 2. Determine j(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 12*p**2 - p + 4. Let c be f(-6). Let y be (-112)\/(-20) - (-4)\/c. Let g(b) = -b**3 + 9*b**2 - b - 6. Is 32 a factor of g(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/400 and -149\/150.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-8 - 8)) + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*k - 48*k - 77*k - 9*k.\nAnswer: -223*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 195 + 785. Let h = -123 + b. What are the prime factors of h?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 + -6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 72. Let v(w) = w**2 - 5*w + 8. What are the prime factors of v(j)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 558153305, 1116306608, 1674459911, 2232613214, 2790766517, 3348919820?\nAnswer: 3907073123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178 - 106. Suppose -5*w = w - x. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4*(-180)\/(-54) - 15. Let h be (0 + 1)\/(-10 - -8). Which is the closest to h? (a) -1 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 24*l**2 + 4 + 5*l**2 + 7*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800*i**5\/9 - 102160*i**4 + 92934166*i**3\/3 - 8273601020*i**2\/9 - 654904264*i - 115273872 = 0.\nAnswer: -7\/20, 34, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -5540?\nAnswer: -5540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Suppose c + 4*j = -6 + 19, 2*j = c - 31. Calculate the remainder when 249 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5753 - -5751. Let h = -2 - -2. Suppose -t + 4*a = 0, -2*t - 3*t + 4*a = h. Is d equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3157\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*h + 1242 = -7*h, 3*h - 15 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4818*u + 4818*u + 19*u**2.\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6460514987?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -9133974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/8084 and -34\/2021.\nAnswer: 8084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-177)\/(-118))\/(12\/(-54) - (-11)\/36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1246)\/(-6) - (-32)\/(-48). Suppose -12*d - i = -1215. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 7 + 13. Suppose -k = -a + 11. Calculate the least common multiple of 8 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -513*z - 202 wrt z?\nAnswer: -513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x + 0*x**4 + 8*x**2 + 0 + 0*x**3 + 17\/60*x**5. Let f(s) = 2*s**2. What is f(k(h))?\nAnswer: 578*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsueju. What is prob of picking 1 e and 2 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.185, 0.37, -4\/7, 100?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 1. Let d(a) = -53*a + 19. Calculate 2*b(i) + d(i).\nAnswer: -49*i + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130\/20)\/(324\/(-864))*3.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -89, -94, -103, -116, -133?\n\"Answer: -2*n**2 + n - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(2*1\/(-2)). What is the nearest to t in -5, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8980 and 4041.\nAnswer: 80820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 - -67. Let o be y\/(-45) + 26\/6. Let p be (-6 - -6)\/(o - 3). Solve -2 = -2*h - p*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6aa7 - -263?\nAnswer: 725a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 7:10 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340103302 (base 5) to base 9.\nAnswer: 2717070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -1.3, 4\/25, 6, 3, 2\/3, 0.13?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 + -111. Suppose -k - k = -h*k. Solve -5*g - 32 + 12 = k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2455045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, -2\/7, -5, -0.264 in decreasing order.\nAnswer: 2, -0.2, -0.264, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -683 and -180701.\nAnswer: 123418783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1101681, 2203355, 3305021, 4406679, 5508329?\nAnswer: 6609971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65102.\nAnswer: 2, 43, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2223 + 2281. Calculate the remainder when 366 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a + 4. Let s be r(-1). Let n be s\/5*(-5)\/2. Solve 4*q - 2 - n = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 divided by 1861?\nAnswer: -189\/1861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 a, and 1 z when three letters picked without replacement from {c: 3, s: 3, z: 2, d: 1, a: 1, e: 9}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.0809 (b) -1 (c) 2 (d) -3 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 141813719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -74*b**7\/105 - b**6\/60 + 647*b**5\/60 - 625*b**2. What is the third derivative of a(d) wrt d?\nAnswer: -3552*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2. Let y(u) = 0*u - 2*u**2 + 2*u + 168 - 168. Calculate y(s(m)).\nAnswer: -2*m**4 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 21 = 4*c - 0*c, -r - 6 = -3*c. Let y(n) = 6*n - 18. Determine y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w = 5*u - 1035, 5*w - 1075 = 3*u. Suppose -4*q = z - w, -2*z + 404 = -0*z + 3*q. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 1113480721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 + 43. Let m = 120 + k. Calculate the remainder when m is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = x - 6*x. Solve x = -2*p + 5*w + 19, 4*p - 2 = -2*w - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/4 and 103\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.41493 - -0.08507. Let u = -0.33 - -0.03. Sort -3\/4, u, a.\nAnswer: -3\/4, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 3. Let r = -7 + s. Which is the second biggest value? (a) r (b) -3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*a**3 + 150*a**3 + 151*a**3 - 463*a**3.\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -6*x - 2. Let g(z) = z**3 + 7*z**2 + 7*z + 8. Give g(x).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwqxp. What is prob of sequence xw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 take away -17217?\nAnswer: 17361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*i - 4*i + i)*(1 + 0 - 3) + 27*i - 17*i + 24*i - 39 + 18*i + 39 + (-1 - 2 + 4)*(-2*i + 2*i - i))*(4 + 1 - 4) in the form z + d*i and give d.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20.56 (b) -1\/8 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18158 + 18161.0479. What is c rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 2. Let m be b(3). Let z be 4 + 139*m\/5. Suppose -5*v = -4*o + z, -4 - 11 = -3*v. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11644399 divided by -45.\nAnswer: 11644399\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 3601 (b) 99 (c) -23 (d) -2\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c = -188. Suppose -2*i - 2*i = 12, 5*i - 110 = -5*l. Calculate the remainder when c is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j = -972 - 7003. Let y = 1075 - j. What is the highest common factor of 32 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s - 2. Let d be (8 - 2)\/(9\/(-6)). Let a = d + 6. Let u(w) = -3*w - 2. Determine a*v(c) - 3*u(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41 and -9\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4 - 2 + 5*v**2 - 6*v**2 + 5*v. Let o(a) = a. Let c(y) = 6*o(y) - s(y). What are the prime factors of c(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -27*q**2 - 219*q - 4. What is the remainder when 3277 is divided by l(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 123*a - 9*s = -107*a - 8*s + 2, 6*s = 3*a - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*l - 377*l + 1434*l - 360*l - 344*l.\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 4*g**2 + 40*g + 83. Give p(10).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -308399 in 0.5, -5\/39, 5?\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/404 - (-41180)\/(-878700)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5376, 9161, 15470, 24303?\n\"Answer: 1262*p**2 - p + 4115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602038310?\nAnswer: 2, 5, 60203831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - (5 + 5 + -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 4 - 5 + 5, -6*c - 3*j + 9 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**7\/840 + w**6\/40 - 17*w**5\/80 + 23*w**4\/24 - 5*w**3\/2 + 165*w**2 + 2*w. Suppose v(h) = 0. What is h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w = -4*j - 12, -24 = 5*j + 2*w. Let b(o) = o**2 + 4*o + 3. Let p be b(j). Find the first derivative of -27*h + 27*h - p + h**2 wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0457 take away 1.59?\nAnswer: -1.6357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-56) - (-17)\/7. Let v(k) = 7*k**2 - 2*k**l - 32 - 6*k**2 + 10*k + 13*k. Let d be v(21). Calculate the highest common divisor of 25 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4108 - 4069 = 3*w + 3*a, 0 = -3*w + 3*a - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 1472?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2813088.\nAnswer: 2, 3, 29303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 121\/368, -0.3604?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 6:23 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*a - 8 = 0, 85540*a + 9 = 85543*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 - 0.81. Let s = -0.88 - p. Let w = -0.47 - -0.37. Sort s, 3, w in increasing order.\nAnswer: w, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h + 44 = -9*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 - n - 1. Let r be v(-1). Suppose -3*y = 4*w - 15, 0*w + 12 = 5*w - 3*y. Solve 0 = -u + r - w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 259, 2056, 6961, 16540, 32359, 55984, 88981?\n\"Answer: 261*k**3 - 12*k**2 + 6*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175.1 - 175. Which is the biggest value? (a) -1\/7 (b) p (c) 0.04 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 at least -302533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7364\/(-4208)*1512\/49\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*g - 33 = -79*g. Let p(l) be the second derivative of 0 + 1\/3*l**3 - 7*l + g*l**2. What is the derivative of p(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2926 divided by 133.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22\/165 - (-43)\/15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*q + 60*q = 3*b - 1, 13 = q - b. Let l(y) = y**2 - 13*y + 1. What is the lowest common multiple of l(16) and q?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15495 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: What is the next term in 56, -486, -1392, -2662, -4296, -6294?\nAnswer: -8656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -20111 (base 4) to base 15\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 29*h + 97. Is t(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.5 * 4.68.\nAnswer: 53.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 - 5*a**2 + 3. Let y(c) = -2*c**3 - 15*c**2 - 7*c - 6. Let j be y(-7). Let k(d) = 5*d**3 - 6*d**2 + 3. Calculate j*k(f) + 7*l(f).\nAnswer: -2*f**3 + f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -1\/71 (c) 2\/7 (d) -0.1 (e) 0.5 (f) 161 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5699970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 1, -2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 1 = 0, t + 6*p = p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 18*k + 111. Let w be n(6). Let i = w + 213. Let j be 1 + 1\/(2\/14). Are j and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 213495 by -2.\nAnswer: -213495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.95 + 47. Let d = -0.05 + o. Let l = -35.9999876 + d. What is l rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 223 - 8. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - 62. Let i(p) be the second derivative of p**5\/20 + 5*p**4\/12 - p**3\/6 - 5*p**2\/2 + 2*p. What is i(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(1539\/(-108))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 12, z - 69*p + 13 = -65*p. Solve -t = 5*w - 22, -2*t + 13 = 2*w - z*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(6\/17)\/l))**(-9\/2)*l**(2\/53)*(l\/((l*l**(-21\/4)*l)\/l))\/l assuming l is positive.\nAnswer: l**(-11259\/3604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by 476.\nAnswer: -89\/476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (3*sqrt(80) + sqrt(80) - sqrt(80)))*2)\/((sqrt(90) + (sqrt(90) - (2*sqrt(90) + sqrt(90))))*-6).\nAnswer: -4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p - 18 = 38*p. Let k(r) = -r**3 + 8*r**2 - 10*r + 6. Let s be k(p). Suppose -s*y = -22*y. What is the biggest value in y, -1\/4, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let t(w) = -2 - 2 - k + w. What is t(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -0.5, -1 in descending order.\nAnswer: 51, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l - 11 = 5*q, 25 = -5*l - 5*q. Suppose -159 = 4*i + 1281. Let t be i\/462 - 1\/(-7). Which is greater: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7906, 7913, 7924, 7939?\nAnswer: 7958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -417809 from -635.\nAnswer: 417174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 288*a**5 - 859388*a**4 + 854509984*a**3 - 282834314040*a**2 - 287629983200*a - 3940299500 = 0.\nAnswer: -1, -1\/72, 995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 108 + 24 = 0. Let k = -19 - i. Let s(p) = 4*p + 9. Let q(o) = -1. Let b(g) = 4*q(g) + s(g). Give b(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 6*w**2 - 2. Let z be c(-5). Let h(q) = q**2 - 24*q + 56. Let j be h(21). Let r = j - z. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 33\/20 + 3\/(-12). Let i be -1 + (12\/10 - 1). Sort a, i, 0.05 in descending order.\nAnswer: a, 0.05, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -367 + 369. Let c(z) = -26*z + 46*z + 1 - a - 22*z + 0. Calculate c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*q + 10*q + 6)*(0 + 4 - 3).\nAnswer: 8*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2258724?\nAnswer: 2, 3, 13, 14479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -11. Suppose -3*x - 38 = -f*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 1:09 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 184*h - 6009 - 6535 + 264*h - 4*h**2 = 0.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1400*h**3 + 934?\nAnswer: -4200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 1, f: 2, i: 2, y: 1, o: 1}. What is prob of sequence ko?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or -157\/90?\nAnswer: -157\/90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 138\/(-207) + 2*22\/12. Let a = -141 + 707\/5. What is the nearest to 0 in l, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 278*m**5\/25 + 418*m**4\/5 + 842*m**3\/5 + 574*m**2\/5 + 16*m\/5 + 2487. Find i such that r(i) = 0.\nAnswer: -4, -1, -2\/139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x = 64. Suppose 5*i = i + x. Calculate the lowest common multiple of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42*(-2)\/72*(-72)\/224.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 4*z + 6163 - 6045 + 7*z**2 + 3*z in the form t*z**2 + u + x*z + q*z**3 and give u.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by (-6084)\/(-138) + 4\/(-46).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - -4) + 5 + -10 + 9 + -16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-2 - -15 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 8*v = -3*k + 4195, 0 = k - 3*v - 1403. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -324729100*f**4 + 161899812*f?\nAnswer: -3896749200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + f = -5, 5*f = p - 13 - 12. Solve 2*m + 2*v + 8 = p, -3*v - 27 = -2*m - 35 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 3*o + 3*z, 9*o - 8*z + 178 = -0*z for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)*q)**(-17)\/(q\/(q**1\/q)*q*q\/q**(7\/3)) assuming q is positive.\nAnswer: q**(-157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 143, 358, 689, 1154, 1771, 2558?\n\"Answer: 3*w**3 + 31*w**2 + 3*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*((-63)\/(-3))\/(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 728*p - 730*p + 4*a, 0 = -5*p + 5*a - 30 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 182697*j - 1461618. What is x(8)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/1264 and -101\/1264.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t. Let m = 2 - -3. Suppose -m*w - 20 = -5*n - 0*n, -2*w + 12 = 2*n. Let v(a) = 3*a + n*a + 6*a - 6*a. What is v(u(b))?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 8:29 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1497678 divided by -21.\nAnswer: 71318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 68778*y**2 - 206308*y\/13 - 6\/13 = 0.\nAnswer: -1\/34389, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 902530675 to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f + 179*f + 154*f**4 - 8*f wrt f?\nAnswer: 1848*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 divided by 64?\nAnswer: 25\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 6 + (4 - 3 + 1)*(-1 + 3 - 1) - 1 + 1 - 2)*(5*k - 20*k - 22*k).\nAnswer: 259*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2044013 (base 7) to base 2\nAnswer: 111100001000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10702503 and 10702503?\nAnswer: 10702503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7251 - 2419 - 203*r**3 - 97*r**3.\nAnswer: -300*r**3 + 4832","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.42 - -0.52. Which is the third biggest value? (a) 3\/5 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18940 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220012111 (base 3) to base 12.\nAnswer: a264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1277*j**4 + 614*j**3 - 4*j**2 - 235992976*j?\nAnswer: -15324*j**2 + 3684*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1071*y = 2427 + 2928 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54\/55 - -2\/11. Let l = 26846 + -26846. Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58838 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 870\/103 at least as big as -1890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) 4\/9 (c) -0.1925\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1495 - 1495. Solve c = -5*u + 3*u + 2*v - 6, -5*v = 3*u - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4946.1 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 101211122 (base 3) in base 14?\nAnswer: 2c45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-408)\/201 - -2)*7\/56. Do t and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 6:49 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2015 = 3*s + 5*v, -604*v - 3313 = -5*s - 601*v. Calculate the greatest common divisor of 4921 and s.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 7*g**2 + 1. Let f(p) = 2*p**2 - 10*p + 7. Let c be f(5). Let i be t(c). What is the lowest common multiple of 30 and (4 + 7 + i)*1?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3*q*q\/(q*q**(3\/2))*(q*q*q**1)**(32\/7) assuming q is positive.\nAnswer: q**(227\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 4*g + 224 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15485839 or 15485823?\nAnswer: 15485839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/14 - 9\/(-525). Let y = 112\/75 - z. Find the common denominator of -35\/2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (80\/32 - (-764)\/(-8))*-1 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 228 + 15*q - 379 + q**3 + 0*q**4 - 3*q**4 + q**4 + 195 to p*q + h*q**4 + c + t*q**3 + g*q**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1021.7003 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2 - 31*t + 439*t - 4 + 4 + 3. Let p(o) = -2*o. Calculate g(p(a)).\nAnswer: -816*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -711 and 1?\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 4 - -4 - (2 + 2). Let 0 - 1\/3*q**b + 1\/3*q + q**3 - q**2 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.152935 and -0.5?\nAnswer: 0.0764675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*o - 135 + 26 - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -151*v. Let m(y) be the second derivative of -y**4\/6 + y + 196. Determine m(s(t)).\nAnswer: -45602*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 5.0077?\nAnswer: 5.0077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 35*n**5 + 1290*n**4 + 8460*n**3 + 13990*n**2 - 2175*n = 0.\nAnswer: -29, -5, -3, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llxlxlllllx. What is prob of picking 2 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -82000 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 9:59 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -48 + 22 + (-6080)\/(-200). Factor 4*b**2 - m*b**3 + 8\/5*b**4 - 6\/5*b + 0.\nAnswer: 2*b*(b - 1)**2*(4*b - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 10*d**2 - 3*d - 21. Let k be i(-9). Let t be ((3 + k)\/(-4))\/((-12)\/(-30)). Calculate the greatest common divisor of t and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2218673 + -0.184307. Let h = -62.9683197 - o. Let v = -63 - h. Round v to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o*p**4 + 78*o*p**2 - 138*o*p - 2*p**4 - p wrt p.\nAnswer: -12*o*p**2 + 156*o - 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 11. Let g = r - -13. Which is the nearest to 0.2? (a) g (b) 2\/3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/72*3\/(-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 5) in base 11?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 30, 75, 158, 291?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 20, 76, 188, 374, 652, 1040, 1556?\nAnswer: 2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -23*p**4\/4 - 23*p**3\/2 - 4*p + 11. What is the second derivative of l(t) wrt t?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -10. Let b be 9\/(-6)*(-28)\/f. Solve b*w**2 - w + 7*w - 3*w**2 - 4*w = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15689 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*t - 4, -2*z = 2*z - 4*t - 4. Suppose 5*a - 19 = z. Determine n, given that 2*n**2 + 16*n - 32 + 5*n**2 - a*n**2 - 5*n**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3. Suppose -2*j + 2 = i, -2*j - 2*i - 4 = -10. Let o be (-12)\/22 + 432\/(-297). Sort p, j, o in descending order.\nAnswer: p, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*o - 3518 + 1769 = -1776, o + 38 = -5*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:16 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21162*k + 1438655 = -465925 for k.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(18)*6)\/sqrt(6))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, 0.2, -1\/6, -28, -4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5368 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 7 = -3*o - 24, -277 = 22*w + 4*o - 61 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 821201743 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -298 - -300. Find the third derivative of 185*c**4 + 95*c**2 + 49*c**2 - 16*c**r wrt c.\nAnswer: 4440*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 3. Let j be k(-6). What is the units digit of 6 - (-1)\/(1\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 27. Let h be d(8). Suppose 0 = 8*g - h*g - 483. Round g to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2.5. Let p be 42\/147*(-1)\/2. Which is the second biggest value? (a) p (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k = 1835. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 2811167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1322\/8 + 2\/16*-2. Suppose -109 + f = 14*t. Solve -t*k + 22 = 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1224 = 3*b + b. Find the common denominator of -71\/16 and (b\/24)\/(33\/(-10)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/10 - -2) + (-5 - -2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let p(z) = 15*z + 1. Give -p(s) + 6*u(s).\nAnswer: -21*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - y = 8, -y + 4*y = 4*v - 14. Let h(u) be the second derivative of 1\/6*u**4 - 1\/30*u**6 + 0 - u + 0*u**3 + 0*u**5 - 1\/2*u**v. Factor h(c).\nAnswer: -(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*v - 49 - 51 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*n**3 + 7*n**2 + 190 wrt n.\nAnswer: -33*n**2 + 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3040 - -5139. Let z be ((-2)\/4)\/((-51)\/338538). Let p = z - v. What is p rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/4*(-52864)\/336 - -10. Is 1077 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 + 146. What is the least common multiple of 216 and g?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28940*i**2 + 86820*i**2 - 28939*i**2 - 3*i**3 - 28941*i**2.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*n**3*y**4 - 32*n**3*y - 2*n**2*y + 9*n*y**5 wrt y?\nAnswer: 156*n**3*y**2 + 180*n*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + 0. Which is the closest to 2? (a) g (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2260 and 170178?\nAnswer: 1701780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1435\/232 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + v - 2049, 2036 + 31 = 2*y - 5*v. Calculate the lowest common multiple of y and 1368.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 8276?\nAnswer: -8265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246329.\nAnswer: 246329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 283605, 1135353, 2554933, 4542345, 7097589, 10220665, 13911573?\n\"Answer: 283916*j**2 - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 593961449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ttttttthth.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 18 - (-1 - 11) - (-1 - 21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/22*(-15)\/(-9)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 66 = 2*i. Let r = -9 - -33. Let k = 28 - r. What is the lowest common multiple of i and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349.1679 kilograms in nanograms?\nAnswer: 349167900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 252 + 6*g**2 - 4*g**2.\nAnswer: -g**2 - 252","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and 77.\nAnswer: -2156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 61 = -6*l, 6*l - 2*l = 29*w - 32*w - 117 + 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s**4 - 6*s. Let h(p) = 11*p**4 + 7*p. Let t(l) = 5*h(l) + 6*z(l). What is the second derivative of t(r) wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4860821 milligrams to nanograms.\nAnswer: 486082.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -7. Let q = 17 + y. Suppose 0 = -b - 0*b - q*j + 10, 5*b = -j + 122. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1710*g**2 - 12*g - 1717. Let j(t) = t**2 - 3*t + 2. Let i(b) = c(b) - 4*j(b). Find the first derivative of i(r) wrt r.\nAnswer: -3428*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(12 - 738)*(-20)\/10?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167 - 164. Suppose 0 = 6*b - c - 51. Put -4, 4, 5, b in ascending order.\nAnswer: -4, 4, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/66 and (119\/(-84) - 2\/(-3))*(-182)\/(-161694).\nAnswer: 91212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 9. Let a be t(4). Suppose -a*y = -y + 3*f - 34, 5*f = -10. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**6\/40 - 3*v**5\/80 + 7*v**4\/16 + 13*v**3\/8 + 9*v**2\/4 + 19*v. Solve a(z) = 0 for z.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 9 = 4*m, -3*t + 104 - 107 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (1 - (1 - 2))) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1. Let m(k) = -k - 3*k + 8 + 2*k. Suppose 0 = r + 3*r. Let w = 1 + r. Give w*m(p) + 6*t(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1860972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + q - 1. Let x(n) = -n**3 + 11*n**2 + 4*n - 9. Let b(p) = 5*f(p) - x(p). Let k be b(16). Which is bigger: k or -3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - m - 10 + 3*m - 2*m. Let j be i(5). Put -3, 1, j in decreasing order.\nAnswer: 1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 100, 347, 498, 559, 536, 435?\n\"Answer: f**3 - 54*f**2 + 402*f - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 take away 750457.2?\nAnswer: -750457.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9)*u*u**12*(u**2)**(-2\/31))**2 assuming u is positive.\nAnswer: u**(240\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103306 to the power of 1\/2, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3659 is divided by 467?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 7:53 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, -1\/2, 0.136, -374 in ascending order.\nAnswer: -374, -1\/2, 0.136, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 30 = -3*x + 2*i, 5*x = -3*i + 69. What is the greatest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 3 + 9 + -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 784 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.45 + -36.5. Let d = j - -42.4. What is d rounded to 1 decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = 17. Let s be p\/(14\/2472) + 0. Let b = s - 1816. What is b rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**4 - 3598*g**3 + 26*g**2 + 78810*g - 10 wrt g?\nAnswer: 24*g**2 - 21588*g + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - c + 2. Let f be p(0). Let d(l) = 0*l**2 - 3*l**2 + 1 - 2386*l**3 + 2385*l**3 + 5*l**2. Give d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -220\/7*i**3 - 36\/7*i**4 - 78*i - 28 - 536\/7*i**2 - 2\/7*i**5 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/w*w*w*w\/w**(-1)*(w*w**8)\/(w\/(w*w**8)))**(-15) assuming w is positive.\nAnswer: w**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + 66 - (-3 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0*s + 59\/6*s**3 - 35*s**2 + 0*s**4 + 31\/20*s**5 + 0. Differentiate l(c) wrt c.\nAnswer: 186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 58. Calculate the remainder when 180 is divided by x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 83, 3, 5 in increasing order.\nAnswer: 1, 3, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q - 22*q + 42*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21118.\nAnswer: 2, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - 1. Let t be (v\/10)\/(-3 - (-54)\/20). Let r(u) = -4*u - 5. Let d(f) = 2*f + 3. Determine t*r(p) + 11*d(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -3 (c) -10 (d) 6.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 48 = 17*z. Let d(q) = q**3 + 3*q**2 - 24*q + 1. Is d(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + 3 + -7 + 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, 7, 0 in decreasing order.\nAnswer: 7, 0, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6352 - 6347. Let i = -1.3 - 12.7. What is the nearest to 1 in 4, d, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25656756341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 g when four letters picked without replacement from {g: 12, y: 1}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -40581?\nAnswer: -81162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1026 (b) 4\/9 (c) 2\/3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10011000001010100011001111100?\nAnswer: 10011000001010100011001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1867.97 + 1868.469916. Let p = y + -0.5. What is p rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/428184 and -115\/142728.\nAnswer: 428184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157320 - 91568. List the prime factors of j.\nAnswer: 2, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 2*a - a)*(-13 + 0 - 1) + 55*a + 59*a + 23*a to the form d + o*a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4\/2 - 15757*m**3\/2 - 180941*m**2 = 0.\nAnswer: -15734, -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160237 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -47*q**2 + 7*q - 5. Let x(h) = -125*h**2 + 19*h - 14. Let f(m) = 8*i(m) - 3*x(m). Suppose 4*d = 4, 3*d = -2*b - 2*d - 1. Give f(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7904112us in seconds?\nAnswer: 0.0000007904112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 1. Suppose -5*a - 40 = -15. Let o = a + 8. List the prime factors of k(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*sqrt(637)*-2 - sqrt(637))**2 + (4*sqrt(156)*-1)\/(2*sqrt(12)*2).\nAnswer: -sqrt(13) + 22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.3 and 0.5.\nAnswer: 5.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445.1 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-150)\/(-40))\/((-875)\/(-420)))\/(3\/40)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 11)\/(-2 + 24\/10). Let a be 78\/(-36) - (2 - m\/9). Let v = 1.97 - 2. What is the biggest value in 3, a, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61110082 smaller than -61110079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3042843949 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*b + 481*b = -s + 13, -59 = -3*s - 2*b for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/10 - (73 + (-3770)\/65)?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -10.6. Round n to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 + 0)*(-k + 3*k + 2*k + 1 - 1 + k + (0*k - 4*k + 2*k)*(-2 + 4 - 5)).\nAnswer: 88*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avraxraxxxvx. Give prob of picking 1 x and 1 r.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26634696 and 14722?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*a + 65*a + g - 183234, 0 = 5*g - 30. Is 203 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 12*l + 18 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s - 10, 2*s = -5*d - 81. Let x be (-6 + 8)\/((-2)\/d). Calculate the greatest common factor of x and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t + 5*t**2 - 3*t**2 - 6*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/36)\/((-18)\/18*(-1)\/(-3)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*j = 18, 3*i + 5 = -3*j - 15 + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -56 - 8?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 - 6 - 21)*(10 - 34 + 3)*(-2*s**4 + 1 - 1).\nAnswer: -1344*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5 + 125\/(-625).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g + 2 + 8*g + g + 25*g.\nAnswer: 43*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -55*s + 2101. Let c be j(38). Solve -36 = 4*z - 4*h, 0 = c*h - 6*h - 25 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 364 - 186. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 12 = -8*q. Suppose 576 = 4*s + 4*n, -s + 544 = 3*s - q*n. Suppose 11*b + s = 12*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -4*i**3\/3 + i**2\/2 + 5*i - 3. Let o(u) = -4*u**2 + 4. Let a(t) = 3*o(t) - 4*p(t). Find j such that a(j) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 1378?\nAnswer: -1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 216?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1798 = -i - 4*c, -3*c = -2*i + 1802. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -9*l - 3. Let q be a(-2). Suppose q = 5*v + 5*o, 4*v = -o - 2*o + 15. Suppose 3*j = 37 - 16. What is the least common multiple of j and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -3)\/(22\/55). Let g(u) = -u**3 - 6*u**2 - 7*u + 6. What is the lowest common multiple of g(m) and 108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*q - 38 = -q, -3*j - 2*q = -75. Suppose k = 6*k - 590. Let g = k - j. 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 the hundred millions digit of 122216639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -284 and -5.\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2. Let f(m) = 4*m - 13*m - m. What is f(s(k))?\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37, -104, -215, -370, -569, -812, -1099?\n\"Answer: -22*b**2 - b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-150))\/(8\/10) + (-13268)\/992\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*p - 73*p + 20*p)*(p**2 - 4*p**2 + p**2).\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 2*c. Let j(k) be the second derivative of 1\/30*k**6 + 0*k**3 + 0*k**5 - 2*k - k**2 + 0*k**4 + c. Differentiate j(g) with respect to g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -118 + -5?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyfyyyyyfyyf. What is prob of picking 2 y and 2 f?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (500\/(-350))\/((-4)\/7).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 131 + 363 = 0. Suppose 0 = -x*q + 86 + 30. What is the closest to 1\/2 in -13, q, -2\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.948 and 40022.\nAnswer: 40022.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 16 = 16. Let x(w) be the second derivative of g*w**2 + 0 - 3\/20*w**5 + 1\/2*w**3 + 18*w + 1\/5*w**6 - 1\/2*w**4. Suppose x(h) = 0. Calculate h.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 11*m**2 + 11*m - 8. Let o be j(-9). Let i = o + -15. Suppose -v = -5*v + i. What is the highest common divisor of 50 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1051820, -4207459, -9466858, -16830017?\n\"Answer: -1051880*a**2 + a + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-192)\/(-30))\/(-16))\/((-1)\/(-3)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(8)\/sqrt(4) + 5 + (sqrt(150)\/sqrt(3) + -2*sqrt(2) + -5)**2*3.\nAnswer: -89*sqrt(2) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 3*f - 25, 219 = z + 5*f + 189 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.32 and 1549.\nAnswer: -9789.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97097 divided by 13871.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14a41 (base 14) in base 16?\nAnswer: -c8d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 + b**4 - 3*b**2 + (-b**2 - 2 + 2)*(0*b**2 + 2*b**2 - 3*b**2) - 7*b**3 + 7*b**3 - 5*b**4.\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 57494\nAnswer: 1\/28747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -14, -61, -20 in descending order.\nAnswer: -2, -5, -14, -20, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10294 + 64067. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/5 of a week?\nAnswer: 58464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 360832765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-195)\/40 - 4\/32) + 428. Let u = 558 - n. What is the least common multiple of u and 35?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 161.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129260543 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 9 = 5*v - 13 - 8, 68 = 19*v - 2*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(20) + sqrt(5)) + 3 + (3 + sqrt(605) + 2)**2.\nAnswer: 95*sqrt(5) + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l - 5. Suppose z = -l*z - 25. Which is the third biggest value? (a) -0.2 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - s = 1, 31*r - 27*r = -3*s. Solve -11 = -r*z - 11 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*p**2 + 0*p**4 + 2*p**4 + 3*p - p**3 - 22*p**2 in the form i*p**2 + v*p**4 + r*p + g + j*p**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -2 - 5\/2*t**2 + 6*t + 1\/3*t**3. Let p be h(4). Is 1 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 2. Let k be t(-1). Let s be k\/(3*4\/132). Suppose 3*y - 62 = -4*l, s = 3*y + 2*l - 53. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33064717 bigger than -33064716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 13*q + 31. Let n be f(-12). Calculate the greatest common divisor of n and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)\/c*c*c**7*c**6*c**(-3\/4))\/(c*c**(1\/4)*c*c*c\/c**(2\/5)*(c*c**(2\/19))\/c**(2\/9)) assuming c is positive.\nAnswer: c**(6997\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124542 a multiple of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by -163513?\nAnswer: -85\/163513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33.8666um?\nAnswer: 0.0338666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 4*b**2 - 4*b. Suppose 4*z + 9 = -3. Suppose 0 = -0*y - y. Let d = z + y. Calculate x(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30110 and 0.01.\nAnswer: 301.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 200018053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 994 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 3, b: 1, u: 1, n: 3, g: 2}. Give prob of sequence gd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 5*q + 2. Let b be i(3). Let v(h) = 2*h + 6. Let p be v(b). What is the units digit of 1 + -1 - p - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*u + 1 = 13, f - 2*u = 3. Let n = 0.4249 + -0.0249. Which is the third biggest value? (a) n (b) 2 (c) f (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-407 - 413 + 1176)*(4*b + b - 4*b).\nAnswer: 356*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 445050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7814979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2323, 2086, 1697, 1162, 487?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f + 31 - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -2, 0.15, -34, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(-20)\/15*474\/(-4) is divided by 129.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, x: 3, p: 5}. What is prob of picking 1 p and 2 i?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (1 - 4\/(-2)). Suppose m = -0*q + 3*q. Solve q = -3*p + 5*p - 4*s - 14, 0 = -2*p + 3*s + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i - 4. Suppose m + 420 = 7*m. Let h = m - 76. What is u(h)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + -9 + 3 + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/9)\/(1\/(-3)). Suppose -5*k = 20, -4*l + 3*l = 4*k + 22. Let h(s) = -s**3 - 5*s**2 + 5*s - 8. Let y be h(l). Put 5, p, y in ascending order.\nAnswer: p, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 39*u = -33. Solve u = 15*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + d = 5889, 2360 = 7*c - 5*c - 4*d. Suppose -4*u + 474 = 5*o - c, o - 5*u - 313 = 0. List the prime factors of o.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4897, -6551, -8209, -9871, -11537, -13207?\nAnswer: -14881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 253655 and 612.\nAnswer: 254267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/29, 2\/9, -1116 in decreasing order.\nAnswer: 2\/9, 3\/29, -1116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 3*403\/39?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3527284 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 12. Let a be k(-10). Let x be 5*a*(-9)\/(-30). Sort x, -2\/11, 4 in decreasing order.\nAnswer: 4, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3 + 37200*f**2 + 172980000*f = 0.\nAnswer: -9300, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1541 + 75.8541. Let f = q + -75. What is the closest to 4 in -3\/5, 0.2, -1\/8, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (187\/374)\/((45\/(-20))\/9)*-2*8.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-8 + 13) - (-3 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1001, 1025, 1055, 1085, 1109?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*o + 8*o**2 - 11*o**2 - 30*o - 12.\nAnswer: -3*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -5, -0.3, 251, 5\/2 in decreasing order.\nAnswer: 251, 5\/2, -0.3, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, -2\/37, -7\/6, 5, 8\/655?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 + -7 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*o - 75. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -424*u - 211. Is 15 a factor of a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5425303 divided by -13\nAnswer: -417331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*o**2 - 85*o + 95.\nAnswer: -5*(o - 1)*(2*o + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0504 - 2.7796. Let w = 96.9 - 94. Let m = x + w. What is m rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/(50\/(-450))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/7 - 135104*r\/7 - 135102\/7 = 0. Calculate r.\nAnswer: -67551, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, 20, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-17)\/((-17)\/(-6)). Sort s, 4, 261 in descending order.\nAnswer: 261, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {h: 2, l: 1, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 33, -14\/361, 0.2, 8?\nAnswer: -14\/361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 55. Let v(i) = i**2 + 2*i + 1. Let u(o) = o**3 + 9*o**2 - 6*o - 10. Let w(y) = n*v(y) - u(y). Give w(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a factor of 284278488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.809 + 1.139. Let o = n - -0.67. Let f = o - 1. Which is the smallest value? (a) -2 (b) -0.1 (c) 1 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 + 50*v + 120 = 0. What is v?\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 + 5*n**2 - 6*n**2 - 6*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 117 = -5*h + r, -5*h + 2*r = -113. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -221303121?\nAnswer: 221303203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 2*j - 10, 4*j = 2*c + 7*j - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-50) - 15\/25*(19 + -13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2 - 15*o - 16. Let p(v) = 3*v**2 - 7*v - 8. Let n(b) = 5*p(b) - 2*u(b). Let j(f) = f + 1. Calculate 5*j(s) + n(s).\nAnswer: s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-1\/3)*t))\/t)**(-1\/17))**16\/((t\/(t\/t**(-6\/5))*t)\/(t*t\/t**(-4)*t))**6 assuming t is positive.\nAnswer: t**(11176\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34841 - -1.181664899.\nAnswer: 34842.181664899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 444*b - 108*b - 21*b + 1106*b + 32*b + (5 - 5 + 4)*(5*b - 2*b - b) as r*b + x and give r.\nAnswer: 1461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*s - 13\/2*s**2 + 13\/2*s**4 - 1\/2*s**3 + 0.\nAnswer: s*(s - 1)*(s + 1)*(13*s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -8*i + 952. Calculate the greatest common divisor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h. Suppose -v + 15 = -5*z - 5*v, h = 2*v. Let g = z + 11. Calculate the greatest common divisor of g and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 514032057 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 276.4 + -281.4. Which is the closest to -0.2? (a) 3\/25 (b) 5 (c) j (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/59, -2.7167, -0.012?\nAnswer: -2.7167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -801*j**4 - 4*j**3 + 7033*j**2?\nAnswer: -19224*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -3\/22 (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 53 - 32 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226\/6 - (-2)\/6?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from lldddlldld.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 157*t**2 - 146*t + 1430. What is q(-156)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a*k*z + 993*a*k - 7126*a*z - k*z - 2*k - 44*z wrt k.\nAnswer: 6*a*z + 993*a - z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.11 from 2721.\nAnswer: 2723.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:39 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/98*(-14)\/4. Sort -0.2, r, 0.02 in ascending order.\nAnswer: r, -0.2, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 80, 167, 252, 335, 416, 495?\n\"Answer: -s**2 + 90*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1929, -10772, 5.\nAnswer: -10772, 5, 1929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (2*sqrt(88) + sqrt(88)))\/(sqrt(4)\/(sqrt(10)\/sqrt(5))).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.719 + -0.019. Let t = 13 - 18. Which is the closest to -0.1? (a) w (b) t (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -5. Let t = q - -6. Let u = -2572 - -2572. Solve -3*m - 2*f - 20 = 0, -20 = -u*m + m + t*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5902772?\nAnswer: 2, 31, 181, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5360 is divided by 68.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from {f: 5, t: 1, b: 1, q: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-140))\/(-3*7\/756).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 + t**3 - 2*t**3)*(-t**2 - t**2 + 0*t**2) + (-t - 4*t + 2*t)*(-4441 + 4441 + 143*t**4).\nAnswer: -431*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(6\/20)*(-1956)\/815?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -18856*m + 150851. What is u(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - h. Let f(i) = 7*i**2 + 47*i - 2. What is f(k) + 4*y(k)?\nAnswer: -k**2 + 43*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 1353?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 1. Let n(s) be the third derivative of -s**5\/60 + s**4\/3 - 7*s**3\/6 + 2*s**2. Let r be -1*1*(2 + 36\/(-4)). Let k be n(r). Calculate u(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j**4 - 23*j**4 - 2*j**4 + 6*j**4 - j**4 - 3*j**4 + (2*j - 3*j + 2*j)*(j**2 + 2*j**3 - j**2) to w*j**4 + m + c*j + g*j**3 + b*j**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48*(-3)\/(9\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**3 + 15*q**3 + 98 + 420 + 245 + q.\nAnswer: 3*q**3 + q + 763","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + 8 + (2 - (-8 + 10 - -29)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756388766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let y be x(4). Let z = -4 - y. Is (-133)\/(-4) - (-2)\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*p + 2*p. Let r(f) = f**2 - 1. Let l(z) = -6*z**2 + 5. Give p*r(m) + l(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 4. Suppose -i*l + 3 = -4. Solve 0*w - l = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -117910 + 4231?\nAnswer: -113679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 7*j**3 + 0*j + 11\/3*j**2 - 1\/3*j**5 + 0.\nAnswer: -j**2*(j - 11)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(10) + -2*sqrt(1440)) - 6*sqrt(60)\/sqrt(108))**2.\nAnswer: 11045\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 8\/39, 2.61?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 + (4 - (-3 - -5)) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 24*m + 29. Let x be r(23). Let a be (298 - 8)\/(-2 + x\/4). What is a rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 945, 1891, 2835, 3777?\n\"Answer: -q**2 + 949*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v + 1\/5*v**4 + 0 + 2\/5*v**3 + 1\/5*v**2.\nAnswer: v**2*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*h + 5*w, 2*w - 4*w = -8. Let j be (h\/(-9))\/(2\/(-9)). What is the greatest common factor of j and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/q**(-1\/4))))**(-5\/14) assuming q is positive.\nAnswer: q**(-25\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/7, 0.3558, -4, -0.5 in descending order.\nAnswer: 5, 0.3558, -2\/7, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*c + 1865*c + 31144 + 6131 = 0 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4212329 or 4212295?\nAnswer: 4212295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 0. Let o be (-29)\/(-1 + 0) - 0. Let h = y + o. Solve 3*n - 5*i = 5*n + h, 3*n = 5*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**2 + 2*z**2 - 35*z**2 + 36*z**2.\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 334\/21, -4, 1 in increasing order.\nAnswer: -4, -2, 1, 334\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, -0.216, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.1, -0.216, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764*d + 776*d - 3150*d + 718*d + 702*d.\nAnswer: -190*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0237342997 to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (5 + -7 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of ((1057 + 3)\/(-5))\/((-6)\/105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 38*i**2 - 39*i - 3. What is w(39)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, -2, -1094?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 22 - 18 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 13*i**2 + 17*i + 152. What is x(10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 636 and 13044.\nAnswer: 691332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 25 = 4*a + 5*d, 4*a + 4*d - 24 = 0. Solve c - 3*c + a = -3*p, -5*c = -p - 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**5\/13 + 4*t**4 - 2*t**3\/13 - 4*t**2 = 0?\nAnswer: -26, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -100341*r - 100661. Give o(-1).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5\/5 + 54*x**4\/5 - 291*x**3\/5 + 432*x**2\/5 - 192*x\/5.\nAnswer: -3*x*(x - 8)**2*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-96)*6*(-5)\/170*4\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmg when three letters picked without replacement from {h: 1, g: 1, k: 5, m: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 + -166. Let g = -62 - h. Let a be ((1 - g) + -8 + 3)\/1. Is 1 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by ((-3)\/(-15))\/(-6 - 1713\/(-285)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**3 - 60*a**2 - 3796*a + 19980 = 0.\nAnswer: -27, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496 and 17856?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 9. Let u(q) = 66*q + 5. What is u(g) - y(g)?\nAnswer: 67*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 + 192. Suppose 0 = w - 1, 3*r - w = 6*r - 25. Sort r, h, -1 in increasing order.\nAnswer: h, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-4*r + 4*r - 3*r)*(6 + 0 + 4).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*p - 30, 0 = 2*u + 2*p + 5 - 3. What is the fourth smallest value in -5, -3, u, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 1. Let f be j(-1). What is the third derivative of 3*r**2 - 2*r**3 + 2*r**f - 2*r**2 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25268731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.346 - 5.564. Let f = z + 35. Round f to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9632.875ug in kilograms?\nAnswer: 0.000009632875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a22 (base 11) in base 10?\nAnswer: 15875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*o**5 + 2*i*o + 7*i + 235793247*o**5 + 69606*o wrt o?\nAnswer: 40*i*o**3 + 4715864940*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjlfglpp. Give prob of sequence jgf.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 23*c**2 - 166*c - 2122. Give u(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 53*d + 551. What is j(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 9*b**2 + 2*b + 15. Let r be l(-8). Let o = 603 + r. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1771 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -195*d - 2287*d - 5*d**2 + 1072*d - 1405.\nAnswer: -5*(d + 1)*(d + 281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70b2 (base 13) in base 3?\nAnswer: -210021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + (-32)\/29)\/((-18)\/4). Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r - 5. Let f(m) = 7*m**2. What is d(f(y))?\nAnswer: -70*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 66. Let m be p(26). Let i = 143 - m. Do -1\/179 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 12*v + 3*v. Suppose -4*d + v = 5*i, 6*d - d = 4*i - 1. Solve -w - 8 = -d*z, -3*z - 10 = -4*z + 4*w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9*b**3 + 766*b**2 - 82*b - 367. Determine r(85).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*a + 0 + 2 - 64*a.\nAnswer: -325*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1380 and -23.\nAnswer: 31740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11080*r**3 - 10142*r.\nAnswer: 66480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w + 5*w**3 - 19*w - 13*w.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n + 323. Let g be v(-32). Suppose 0 = -5*q + 10. Solve -5*t + g = -q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 259 - 272.9. Let w = o - -14.4. Let u = 1906\/9 + -212. Which is the biggest value? (a) w (b) -2\/23 (c) -3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/27 (b) -1\/5326 (c) 6\/7 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d + 35. Suppose -19*s = -85*s + 330. Let z be l(s). Solve -z*j + 25 = 0, 4*k - j = 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Let c(t) = 2*t - 254 - 268 + 505. What is c(s(x))?\nAnswer: -4*x - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 3*h**7\/7 + 10*h**3\/3 - 2. Find the third derivative of o(r) wrt r.\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-5 - (-5 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2 and 17\/358?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 - -3) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llr when three letters picked without replacement from {r: 3, l: 11, g: 3, c: 3}?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2809*d - 2. Let z be k(1). Differentiate 41 - 2789*o - 3*o**4 + 2*o**4 + z*o wrt o.\nAnswer: -4*o**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 1014 - 1018. Let h be ((-3)\/(-8))\/(3\/(-2)). Let u = 11.8 + 3.2. Which is the third biggest value? (a) j (b) h (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/1 - 3) + 2. Let w be r*3 - (-7 - -9). Let s = w - -8. What is the remainder when 8 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 4*j + 0*j + (j + 5*j - 4*j)*(1 - 5 + 3) - 38 + 38 - 10*j)*(2*j + 3*j - 6*j).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 9*f**2 + 14*f.\nAnswer: f*(f + 2)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**4 - 33 + 2*p + 6*p**2 - 6*p + 3*p + 9*p. Suppose m(z) = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/9))**(-7\/4) assuming b is positive.\nAnswer: b**(-49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.03 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, j: 3, b: 9}. Give prob of picking 1 k and 2 j.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-21)*(-29 - -2). Let p be -3*2*(-1)\/2. Suppose 2*q - 6 = -4*x, -2*x - 3*x + p = q. Solve -4*a + 1 - m = -4*b, -9 = q*b + 2*a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 o when four letters picked without replacement from {l: 9, o: 5}.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149707905 to the nearest integer?\nAnswer: 12236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4696 + -4696. Which is the nearest to -0.1? (a) q (b) -5\/6 (c) 3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -2\/23, 30, 41, -4 in decreasing order.\nAnswer: 41, 30, 3\/2, -2\/23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.265712932 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/10, -18132, -0.75, 2\/29, -3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 1\/60*p**5 + 0*p + 1\/24*p**4 + 2\/3*p**3 + 3*p**2 + 0. What is x(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 25 + 9*h - 8)*(0 + 0 + 3*h) - 2*h**2 - h + h.\nAnswer: 25*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 14*x**2 + 18*x - 13. Is 8 a factor of o(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4371*p + 18126. Let b(k) = 1457*k - 6039. Let s(y) = 17*b(y) + 6*t(y). What is the first derivative of s(v) wrt v?\nAnswer: -1457","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -5, -6, -421.\nAnswer: -421, -6, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 10 + 4\/(-2) - 80. Let u = 86 + r. Let w(i) = 143*i + 19. Is w(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b = 9, -5*t - 2*b = -14. Put 5, t, -23 in ascending order.\nAnswer: -23, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.46 + -0.26. Let g = 0.2 - q. What is the closest to 0 in 1, -4, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/(r*r*r*(r\/(r**(-1\/14)*r*r))\/r*r))\/((((r\/(r\/(r*r**(-2\/7))*r))\/r)\/r*r)\/r)**(-2) assuming r is positive.\nAnswer: r**(-79\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6828.1029 rounded to the nearest integer?\nAnswer: -6828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p - 2 - 3*p + 12*p + 2*p to the form b*p + l and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 769.5 - 774.229. Let x = 5.01 + t. Let f = x + 0.119. Which is the fourth biggest value? (a) -1 (b) 1\/4 (c) -1\/9 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + 189*m**2 - 1148*m + 83. Calculate y(88).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 12 = -9*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 10, 52, 132, 262, 454, 720, 1072?\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a + 46 + 12 + 6*a - 5*a. Let o be g(-19). Let f = -1.2 - -0.2. Put o, -3, f in ascending order.\nAnswer: -3, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 78*s - 73*s - 3355, 1314 = 2*j - 2*s. What is the least common multiple of j and 2407?\nAnswer: 19256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (8 + 1 + (-6 - -2))) + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 n, and 1 r when three letters picked without replacement from rnnnnnntrtnnnntnnnnn.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/11))\/(k**4*k)*((k\/(k*k**(2\/3)*k)*k)\/k)**30)**(-3\/4) assuming k is positive.\nAnswer: k**(1779\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13 - ((-13)\/(-11) - 22\/121). Let k(q) = -q**3 + 2*q**2 + q + 4. Let u be k(3). Let a be (-4)\/(u*3\/6). Solve i - w = a*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84496*z**5 - 7*z**4 - 21*z**2 + 2689*z - 2?\nAnswer: -5069760*z**2 - 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 38. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/8*s**4 + 0*s + 3\/2*s**2 - 3\/2*s**3 + 0 = 0. What is s?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(33\/(-8)))\/((-16)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 2. Suppose -4*t = n + 15, -n - 7 = f*t + 2. Suppose -1 = -4*h + 15. Put -1, h, n in descending order.\nAnswer: h, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100*n**3 - 13*n**2 - 1478*n - 23455916.\nAnswer: -300*n**2 - 26*n - 1478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqygqhqyhyqqhqqyy. What is prob of picking 1 q and 2 y?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14275945*j*u**2 - 298031*j*u + 11*j wrt u?\nAnswer: 28551890*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**4\/12 - 8*c**3\/3 - 7*c**2\/2 + 6. Let u(j) be the second derivative of y(j). What is the units digit of u(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 107. What is the remainder when 7\/(4*o\/256) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 - -4558?\nAnswer: 4597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1381771 is divided by 1481?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154*1)\/(-263 + 265).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*n + 626223 = -176329. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + -99. Let j = m - -120. Suppose -888 = -j*h + 2*y, -4*y + 1097 = -h + 6*h. List the prime factors of h.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15870 - 15865 + 25*u**2 - u**2.\nAnswer: 24*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 - 65. Let s = n - -297. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-2))\/(54\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + 9*b + 76. Let w be u(9). What is the third biggest value in 0.013, 0.2, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*r + 4*r. Let i(d) be the second derivative of 0 + 1\/42*d**4 - d + 0*d**2 - 1\/21*d**r. Factor i(z).\nAnswer: 2*z*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from rmwwwwmmmwwrmmwwrmw.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*o = 39, -4*c = o - 0*o - 21. Find the third derivative of -217*p**4 + 217*p**4 - 36*p**2 - 26*p**c wrt p.\nAnswer: -3120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266, -511, -756, -1001, -1246, -1491?\nAnswer: -1736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -416016 or -416077?\nAnswer: -416016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -14*n + 7. Let s(b) = 7*b - 3. Calculate 3*q(r) + 7*s(r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 7*i + 2. Let x = 7 + 0. Let f be y(x). Let b(d) = 5*d**2 - 4*d - 3*d**f - 3*d**2 + 4. Give b(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**4 - 5556*f**3 + 174996*f**2 - 1768156*f + 5503992 = 0.\nAnswer: 6, 13, 1357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 + 3*a**3 - 1 - 2*a + 2. Let n = -3 + 4. What is the units digit of q(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2 = 2*a. Let d = -14 - -16. Suppose 0*n = 5*n + 3*r + 15, 0 = -2*n + 4*r - 6. What is the closest to d in 0, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f - 312552 - 155916 = -51*f. Does 55 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316*(644\/16 - (245 + -205))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/18*6\/(-4) and -17\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 4, 352, -1.1, 1, 0.09 in ascending order.\nAnswer: -3, -1.1, 0.09, 1, 3, 4, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 14*n - 18*n - 35*n + 66*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17.701171 and 7.1727.\nAnswer: -10.528471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 6*y + 3*y)*(-y**3 + 6*y**3 - 2*y**3).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11454*u**4 + 10086*u**3 - 30405081 wrt u.\nAnswer: 45816*u**3 + 30258*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587620 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1528 (base 9) to base 16\nAnswer: -488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w. Let q(t) = 58499925*t**2. Determine u(q(s)).\nAnswer: -116999850*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40040971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10764 = -158*u + 457*u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - -47 - (-6 - (2 - 1)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -483, -1094, -1949, -3048, -4391?\nAnswer: -5978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -25, -3, 11591 in descending order.\nAnswer: 11591, -1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.179446 microseconds in days?\nAnswer: 0.000000000268280625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/7)*h**(-17)\/h)\/(h*h*h*(h\/(h\/((h\/(h**(-1)\/h))\/h*h)))\/h*h)**(-6))**(-27) assuming h is positive.\nAnswer: h**(-3429\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-4)\/(-12)) - (7 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -57, 8, 0 in descending order.\nAnswer: 8, 6, 3, 0, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 9:42 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-160)\/(-48)*6\/5. Let t be -8*(-4)\/(s + 4). Suppose 2*w - t*a + 0*a - 48 = 0, 4*a = -16. Solve -w = -7*k + 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 878*z - 6187*z - 1878*z - 13323*z.\nAnswer: -20510*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-9\/2))**(1\/34)\/((p**(-3)*p)\/p**(-4\/9)))**(-9) assuming p is positive.\nAnswer: p**(-871\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7))**2)**42*(s\/(s\/((s*((s**(2\/7)*s)\/s)\/s)\/s*s)))**(-44)*(s**(-2\/7)*s*s)**(-4\/11) assuming s is positive.\nAnswer: s**(832\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 5910.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + a)*(-2*a - 4*a - 3*a)*(2*a + 4*a - 4*a).\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 9) to base 4\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = -b - 0*b, b = 1. Suppose k = -l - 4 + 3, 3*l - 399 = -2*s. Let q = -97 + s. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 0 + 0*w - 20*w**2 - 1\/6*w**3 + 1\/24*w**4. Calculate q(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.035 - 0.031. Let a = y + 2.196. Which is smaller: a or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728476589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10*d - 37. Let q be (-216)\/(-60)*5\/2*-1. Calculate the least common multiple of 7 and s(q).\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 924*h**2*r**2 + 23*h**2 - 48250*h*r**2 - 476*h*r - 5*h + 5*r wrt r?\nAnswer: 1848*h**2 - 96500*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 11*b**6\/30 + 5*b**4\/12 + b**3\/3 + 313*b**2\/2 - 33*b - 1. Find the second derivative of d(w) wrt w.\nAnswer: 132*w**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 4:24 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k = -206 - 28. Calculate the remainder when 42 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1166 - -1745. What are the prime factors of m?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 508*l\/3 + 396628.\nAnswer: -(l - 1374)*(l + 866)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 19*a + 80. Let z be l(12). Suppose 9*n - 13*n = 0. Sort -5, n, 1, z in decreasing order.\nAnswer: 1, n, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-158)\/8 + (-1)\/4. Let g(a) = -a**3 - 17*a**2 + 28*a + 39. Is g(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.62834 months to millennia.\nAnswer: 0.003385695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -104*s - 47. Calculate the remainder when g(-3) is divided by 85.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -23. Solve -2*j - v = 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let y = 0 - 0.1. Let x = -0.3 - y. Which is the second biggest value? (a) p (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20460)\/20)\/((-726)\/44)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1792 - 1868.3. Round r to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-3\/22)*j**20*j assuming j is positive.\nAnswer: j**(481\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 1 + 2*a + 49 + 53.\nAnswer: 2*a + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1575764 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 944\/(-3717)*49\/(-28)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -4, -1, 1187?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m + 5*p = 33, 2*m + 2*p - 26 = 0. Let b be -3*(-3 + 12\/9). Suppose 7*j - 48 = 3*j. Solve b*z = j + m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893736\/432 - (-2)\/12 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10997.85 - 11579. Let t = f - -579. What is t rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -142 - 23. Let x(i) = -i**3 - i**2 + 8*i + 6. Let z be x(-5). What is the highest common divisor of z and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 62*z**2 + 29*z - 22*z - 654*z**2.\nAnswer: -592*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -167*s - 40. Let w(h) = 113*h + 26. Determine 5*r(o) + 8*w(o).\nAnswer: 69*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 - 3.4. Let n = -7 - r. Which is the smallest value? (a) 4 (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 15*q - 6. Let v(a) be the second derivative of 7*a**3\/6 - 3*a**2\/2 + 432*a. Determine 4*k(u) - 9*v(u).\nAnswer: -3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 32 + 2)*(-355 + 192 + 163 + 2250*t) in the form d*t + p and give d.\nAnswer: 117000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - w = 0, -3*w + 7*w = -12. Let x(l) = l**3 + 2*l**2 - 4*l - 1. Let i be x(-3). Differentiate -3*a**i - 2 + 4 - f with respect to a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 + 42*w**2 - 322*w - 2440\/3.\nAnswer: -(w - 244)*(w - 10)*(w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = t + 11, -5*q - 4*t + 9 - 3 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1051092 and -59\/252?\nAnswer: 1051092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -33 + -4 - -82?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7106623 divided by 12\nAnswer: -7106623\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000 - -1?\nAnswer: -101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0671 + -0.1621. What is the nearest to p in 1, 2\/17, 1\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**2 + 4270*w + 4265 = 0. What is w?\nAnswer: -853, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8276240 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 r(g) = -g**2 + 195*g - 7085. Determine r(147).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from mmddmmdmtjmvvv?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 19 = 11. Let f be -2*(q\/(-6) + -1). Suppose 5*x - 55 = -5*m, -2*x - 23 = -f*x + 3*m. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = 5*q, -k = 2*k + 3*q - 18. Suppose 0 = -k*p + 9 + 11. What is the lowest common multiple of 6 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q - 65. Let o(z) = z - 20. Let p be o(33). Let r be f(p). Solve r = 2*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/p**(2\/5)))\/p**0)\/(p**(-2\/9)\/p)**(-13\/2) assuming p is positive.\nAnswer: p**(-589\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 339857 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -255192*o**5 - 41612*o wrt o?\nAnswer: -5103840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 1. Let s(r) = r**2 - 8*r + 6. Let w be s(5). Let x = -7 - w. Calculate the remainder when 18 is divided by i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, t: 2, e: 4}. What is prob of picking 2 e?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45022 (base 12) to base 4.\nAnswer: -112113122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -8\/11, -1\/9, 658, -2\/5, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316530142?\nAnswer: 2, 173, 914827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 - -20749648.\nAnswer: 20749647.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d = 30*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 11*a**4 - 365*a**3 - 26091*a**2 + 947633*a - 921188 = 0.\nAnswer: -548\/11, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106184 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-18 + (-8 - -46)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**1))**(-1\/3)*x*x**(-2\/51)*x**(2\/15) assuming x is positive.\nAnswer: x**(449\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1684 and 1263?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.712 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6712 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009302 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316*g + 221*g + 155*g.\nAnswer: 60*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -31844409?\nAnswer: 12737763.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90956 is divided by 45472?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1)*(60 + (-1 - 1)). Let x = b - -1467. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 13*v**2 + v - 1. Let w(n) = n**2 - n - 1. Suppose 7*b + 8 = -s + 2*b, 3*b = 4*s - 14. Let a(j) = s*l(j) - 22*w(j). Suppose a(f) = 0. Calculate f.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7273618 a multiple of 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 116934426 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*2*(-2)\/20. Which is the third smallest value? (a) 2\/5 (b) -5\/6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 1. Let a(d) = d**2 + d + 27. Give -a(q) - 2*z(q).\nAnswer: -q**2 + q - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255228 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 9*k + 6. Let p be i(-3). Suppose 2*w - 16 = p*w. What is the third smallest value in -1, w, -41?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*v**5\/11 - 1174*v**4\/11 - 1854*v**3\/11 + 378*v**2\/11 + 722*v\/11 - 156\/11 = 0.\nAnswer: -1, 2\/9, 1\/2, 39\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 833*p**2 + 55*p - 7. Let b be i(12). Let r = b + -8100605. What is r rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1940324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + -1*sqrt(343)*2)*-2 + -2 + (sqrt(343) - 1*sqrt(343)) + -1 + 2)**2.\nAnswer: -28*sqrt(7) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -640 - -995. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpv when three letters picked without replacement from {l: 2, o: 1, x: 2, v: 2, p: 1, j: 5}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26581 by 35.\nAnswer: 26581\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 67356.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 + l. Let o(c) = -c**2. Let f be 6 + 8\/(-4) + -2. Let m(a) = f*o(a) - z(a). What is the second derivative of m(r) wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303650026 divided by 2.\nAnswer: 151825013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 1 (c) 9\/4 (d) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 9*h**2 - h + 3. Let b be c(-8). Let f = 88 - b. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 - 147 - (-1 + -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6.029. Let r = -5.429 + h. Round r to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7685 - 7678. Solve 3*c + u = f + 2*c, -14 = 3*f + 4*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3919 is divided by 648?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -185 + 185. Let g = -0.548 - -0.948. Which is the nearest to -0.2? (a) s (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-101.1\nAnswer: 7.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 9*j**2 + 2*j + 9. Let r(b) = 51*b**2 - 463*b + 30. Let q be r(9). Determine a(q).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -385.5 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-60)*-3*2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-14) + (-11)\/(539\/(-546)). Let n be (42\/33)\/7 + 20\/q. Is 64\/19 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(243) - (1 + -2*sqrt(243)))**2 + -5).\nAnswer: -54*sqrt(3) + 2183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1128405*s + 13. Let l(o) = -2*o. Give r(l(z)).\nAnswer: 2256810*z + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 615 = -6*g. Let n = g - -244. Let o be 55\/(-20)*(2 + -4 + -2). Calculate the greatest common factor of n and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*t = 125*t + 6603 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 g, and 1 d when three letters picked without replacement from gdrrmrrnrggddnrgdr?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19a4d9 - -b?\nAnswer: 19a506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*i + 4*n, 0*i + 3*n - 1 = -2*i. Let o(f) = -f**3 - 150*f**2 + 78*f**2 + 78*f**2 - 6*f + 3. Calculate o(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 + 17*r**2 - 17. Let o be (-190)\/57 + 296\/(-111). Let h(x) = 4*x**2 - 6 + 2*x**2 + 0*x**3 - x**3. Determine o*y(i) + 17*h(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5\/17, -2\/19, 19, 0.4?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*z - 14*z + 4*z**2)*(46 + 28 - 3) - z**2 + 4*z**2 - z**2.\nAnswer: 286*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.82 - 1.3. Let g = 0.056 + f. Let p = 0.37 + g. What is p rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242973217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g - 6 = 25*g. What is the nearest to 0.1 in g, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2 + 39220*o - 78460 = 0 for o.\nAnswer: -7846, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 11*h + 14. Let v be c(-11). What is the greatest common factor of v and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 524 divided by -33\nAnswer: -524\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25921.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59633 - 40674. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (120\/(-55) + (-6)\/(-33)). What is the closest to s in 7, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -16*z**2 + 16\/5*z - 20*z**5 + 84\/5*z**3 + 16*z**4 + 0 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 1446. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + z + 4. Let t be x(0). Which is the nearest to 1\/2? (a) t (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*q - q - 20, 4 = 5*q + f. Let v(x) = q*x + 0*x + 6*x. Let h(y) = y. Give h(v(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. What is the smallest value in 0, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**2*q**4 + 2*g**2*q**2 + 2*g*q + 2219*q**4 - 36*q**2 wrt q?\nAnswer: -24*g**2*q + 53256*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - s**2 + (-14*s + 25 - 25)*(-s - 7 + 7) + (2 - 5 + 2)*(-s**2 - 1 + 1).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(7)*2 - (1 + sqrt(7))*-1)**2.\nAnswer: -18*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*s + 33 = -41*s. Solve 2*q = -s*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 536860 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*v + 379*v = -115*v + 2610 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6107 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 31.230407688?\nAnswer: 30.730407688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 211*j + 49581. Let y be z(-235). Let m(l) = -3*l**3 + 5*l**2 + 5*l**3 - l**3. What is m(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r**5\/9 + 368*r**4\/9 - 10*r**3 - 368*r**2\/9 + 104*r\/9 = 0.\nAnswer: -1, 0, 2\/7, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3043 and 14522.\nAnswer: 44190446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-13)*j*j*j*(j\/(j*j**(-7)*j))\/j)**(-13\/4) assuming j is positive.\nAnswer: j**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.30995 to 3 dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -13485701 >= -13485702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -63256, -65059, -69946, -79459, -95140, -118531?\n\"Answer: -257*t**3 - 4*t - 62995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 162\/15 - 24\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 512101013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51735331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4132*y - 210739. Calculate r(-51).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 913 - 422. Let b = -491.00271 + x. Round b to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41505 = -142*r - 24410 + 31327. Is r bigger than 335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 294 + -293.55. What is a rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -4. Let o(m) = 3*m. Let z be o(-1). What is the units digit of z*(j - (-10)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 108 + 12. Let s = n + -30. Solve s = 7*x - 2*x + 4*r - 40, -2*r + 30 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-99)\/(-5) + (-11)\/(-55). Let a(n) = -18*n - i*n + 36*n. Let l(x) = -11*x**2. Give a(l(c)).\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*b - 4*b. Let t = -2243 - -2252. Solve -3*x + 4 = 2*u - 7, -b*x + t = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -1\/197 (c) -37 (d) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**3 + 81*f - 1. Let s(c) = 4*c**3 - 81*c + 1. Determine -5*j(b) - 6*s(b).\nAnswer: b**3 + 81*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 193 = -4*w + 101, 0 = -4*w - 3*b + 289. Let l(c) = -c**3 - 8*c**2 + 7*c + 1. What is the remainder when w is divided by l(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 341536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1967 or -1966?\nAnswer: -1966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1315680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 5666.5569?\nAnswer: 5666.2569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 11*j + 33. Give z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**2 + 2*q + 74. Calculate b(-6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -84*u + 103. Let k(v) = -v. Let o(l) = -b(l) + 6*k(l). Is o(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 2*t + (-1 + 2*t + 1)*(-2 - 1 + 1) + 1 - 1 + 2*t + 0 + 0 + 3*t - 16*t + 26*t + 38*t + (0 - t + 0)*(4 - 2 - 3) in the form c + b*t and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b + 264 = 0. Let c be 4830\/b - 4\/(-22). Let m = 47 + c. Calculate the common denominator of 35\/6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**4 - 14*z**3 + 15*z**2 + 50*z - 38. Let t(k) = 6*k**4 - 71*k**3 + 74*k**2 + 251*k - 183. Let u(c) = -22*r(c) + 4*t(c). Let u(d) = 0. Calculate d.\nAnswer: -13, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-15*9\/(-81))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-13)*t*(t*t**(1\/62)\/t*t)\/t*(t**(-33))**(30\/13) assuming t is positive.\nAnswer: t**(-71039\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/7, 13, -12\/11, 2\/63, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2 + 8. Let k(o) = -o - c*o + 5*o. Let s(g) = 0*g - 22*g**2 + 11*g**2 + 9*g**2 + 0*g. Calculate k(s(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -2*t**2 - 15*t + 30. Let b be r(-4). Is (8 + -7)*((1 - b) + 1077) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190 divided by 1.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.68 - -4.53. Let t = -0.766 + -5.774. Let p = t + n. Round p to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 3)*(-3*i**3 - 2*i - 361*i**2 + 726*i**2 - 367*i**2).\nAnswer: 12*i**3 + 8*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.6 - 28. Which is the third smallest value? (a) 2 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and 421627.\nAnswer: 8010913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 2\/5, -3, 5, -0.5, 1\/186, 19?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.19 + -0.2. Let o = 12 - 12.09. Let m = g + o. Is m smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 7*i - 5. Let v be q(-8). Let r be ((-2)\/(-5))\/((-2)\/(-20)). What is the smallest value in 2\/13, r, v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - d - 19 = -b, 3*b + 4*d = -36. Let h be (b\/(-6))\/(8\/12). Let z(k) = -8*k**h + 0 + 0. Let s(r) = -r. Give z(s(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 3*u - 6. Calculate o(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 227018490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 6*u - 5. Let t be z(7). Suppose -t*b = 3*b. Let h(x) = x**3 + x**2 + 118. Is h(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29179, -22685, -16191, -9697, -3203?\n\"Answer: 6494*q - 35673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:12 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o**2 + 3 + 18*o**3 + 9*o**2 - 76*o - 17*o**3 to l*o + i*o**2 + x + r*o**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*((2*sqrt(6171))\/sqrt(3) - (sqrt(1700)*-1 + 3 - sqrt(1700))**2).\nAnswer: -1704*sqrt(17) + 81708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 36?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 203274.42 - 2.28.\nAnswer: 203272.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsssffsfsssfff. What is prob of picking 3 s?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05557 * 28.\nAnswer: 1.55596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 10. Let d = -9 + l. Put -2, d, 0.1 in decreasing order.\nAnswer: d, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4956 - 644357\/130. Find the common denominator of n and 41\/845.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -19, -3 in decreasing order.\nAnswer: 1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -7*v - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**4 + 33*n**3 - 129*n**2 + 207*n - 108 = 0.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -116253?\nAnswer: -5\/116253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Suppose 0 = -2*s + 2, -v*a + 2*s = 3*a - 43. Solve 5*y + 3*h = -3, y + a = 2*y + 3*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + (1 - (13 + 2)) - (2 + 1 + 4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24676105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**2 + 206 - 120 + 4*q**2 in the form v + d*q**2 + r*q and give v.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 884?\nAnswer: 12376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 42*q**2 + 8*q - 53. Let a(s) = -14*s**2 - 3*s + 18. Let y = 14 - 11. Let k(r) = y*b(r) + 8*a(r). What is the first derivative of k(p) wrt p?\nAnswer: 28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3679 - 1058 + 705)*(3*c - c + 0*c).\nAnswer: 6652*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1165 and 16543.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*x - 4135 = 5159 + 2487 + 2181 for x.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = -93. Let u = 32 - s. Suppose -t + 2*t - 63 = -2*q, -3*q + u*t = -84. What is the remainder when q is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one quarters of a kilometer in meters?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l\/(l**(2\/31)\/l)*l*l)\/l*l*l**(-3)\/l)\/(l**1\/(l\/l**2)) assuming l is positive.\nAnswer: l**(29\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184763459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (63\/105)\/(1\/20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/26 or 7594?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -18, -4, 27 in decreasing order.\nAnswer: 27, 2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + -5 + -5 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 4 (c) 0.1 (d) -14 (e) 69 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29.2, 3, 0.3, 1\/81 in ascending order.\nAnswer: 1\/81, 0.3, 3, 29.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.66 + 0.56. Let j = o + 5. Which is the third biggest value? (a) -0.2 (b) j (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000332 (base 5) to base 6.\nAnswer: -12212513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -13931304*z**2. Let q(w) = -5*w. What is q(j(k))?\nAnswer: 69656520*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 12:55 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222 - 222 + 3*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002378933 to 6 decimal places.\nAnswer: 0.002379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 603\/(-27)) + (-104)\/78?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536.1*3331.\nAnswer: 1785749.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6066 - -6071. Suppose 4\/13*i**4 + 28\/13*i**2 + 0 + 2\/13*i**b - 24\/13*i**3 - 10\/13*i = 0. Calculate i.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97 or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (1 + 2)\/(-3). Let x be 1\/(-2)*o\/(-4). Suppose -3*n + x*m + 2*m + 3 = 0, 3*m + 1 = n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-15) + (-134)\/(-3). Let h = 75 - x. Suppose 3*y = -2*y + h. Calculate the remainder when y is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 11:20 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53279*z**4 + 98017*z**4 - 53586*z**4 + (-2 + 3 - 2)*(-2*z**4 - z**3 + z**3).\nAnswer: -8846*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-594)\/(-330) - 1412\/(-10). Calculate the greatest common divisor of 2167 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -0.053617.\nAnswer: 10.946383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 4. What is the smallest common multiple of ((-40)\/(-50))\/((-2)\/(-10)) and i(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141 and 173892480.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31657 + 6553067\/207. Find the common denominator of l and 59\/9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314831450 rounded to the nearest 1000000?\nAnswer: -315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 16. Suppose -12 = -g*a + 2. What is the highest common factor of a and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f - 1. Let l(i) = -6*i - 28. Let s(c) = -1. Let y(x) = -l(x) + s(x). Let v be y(-7). Does 19 divide k(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(448) + 3 + -3*(sqrt(448) - (sqrt(448) + sqrt(448)*-2 + 3 - sqrt(448))**2).\nAnswer: -296*sqrt(7) + 5403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -17 - (8 + -3 + -7)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -18. Let m = 4 + v. Let n be 38\/(-48) + (-2)\/(-3). Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/2))**(2\/65)*(c*(c**(-2)*c)\/c)**9 assuming c is positive.\nAnswer: c**(-582\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 q, and 1 l when three letters picked without replacement from loiiyqp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.4, -2\/3, -353.54, -1\/7, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2280691 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/15 (b) 54 (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 309991 or 21.5?\nAnswer: 309991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3*5\/20))\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 divided by -7?\nAnswer: -206\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-24))\/(6\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 223199570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 123384651 divided by 3163709?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26266 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2588, -4858, -7126, -9392, -11656, -13918, -16178?\n\"Answer: j**2 - 2273*j - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n - 5. Let o(w) = 9*w + 6. Let a(d) = 5*o(d) + 6*y(d). Let m(p) = 68*p**2 - 31*p**2 + 0*p + 0*p. Calculate a(m(h)).\nAnswer: -111*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 7825610.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3034 - -3204. Is 175 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*x**2 + x**3 + 23*x**2 - 1 + x**3 as z*x**2 + c + w*x + s*x**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -16, 21, 9428, -2 in increasing order.\nAnswer: -16, -4, -2, 0, 21, 9428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29.1 + 29. What is the closest to -0.1 in 1\/8, y, 2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6256\/5 - 1256. Let t be 4\/2 + 744\/(-105). Let c = l - t. What is the nearest to c in 4\/7, 1\/6, 0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 2, 15, 5 in descending order.\nAnswer: 15, 5, 2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -10*u + 421. What is the remainder when 157 is divided by u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 109 = -6*f + 19 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s + 8*s - 6*s**4)*(s - 3*s + 0*s) - 4*s**5 + 0*s**5 + 2*s**5 + (-3*s**2 - 4*s**2 + 4*s**2)*(2*s**3 - 2*s**3 + 2*s**3) - s + s + 3*s**5.\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92215*q**3 - 115737*q.\nAnswer: 553290*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 54*w - 4 + 58*w - 16 - 108*w to c*w + d*w**2 + n and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 131129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2226122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5, 0 = 20*l - 16*l - 3*n - 88727. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.31 rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13180 - 4850267\/368. Let f = -4245251\/368 - -11536. Let p = d - f. Find the common denominator of -23\/16 and p.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(350)\/(-4*sqrt(10))*-6)\/(sqrt(60)\/(sqrt(48)\/sqrt(4)) + (sqrt(180) - 2*sqrt(180) - sqrt(5))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + -1.2. Let o = -1 + m. Let k = 305\/6 + -51. Put k, o, -0.1 in decreasing order.\nAnswer: -0.1, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.027*891.\nAnswer: 24.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.2 (b) 0 (c) -11\/2 (d) 4\/5 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 987.9 - 921. Let p = 67 - r. Is -16 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:00 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 2*o**3 + 2*o**2 + (-o + o - o)*(o**2 + 0 + 0) + 3*o**3 - 5*o**3 + 0*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 2*f**2 - 2*f - 2. Let l be i(-2). Let g = -25 - -29. Sort g, -7, l.\nAnswer: -7, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23025 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -204604.\nAnswer: 1\/102302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77382968?\nAnswer: 2, 13, 53, 101, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -37 + (0 + 0 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.9, -2\/5, 2, 13, 27\/8, -1 in increasing order.\nAnswer: -2.9, -1, -2\/5, 2, 27\/8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12893\/154 - 566\/7. Let b = 405 + -3231\/8. What is the common denominator of k and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 14 = 2*y, 3*y - 5*a - 17 = -21. Suppose -6*c + y*c - 3*l = -11279, 5*c - 14098 = -3*l. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from evceetv. Give prob of sequence eeve.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 divided by -2480.\nAnswer: -133\/2480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**7\/420 - i**6\/45 + 2*i**3\/3 + 3*i. Let u(k) be the second derivative of h(k). Find the third derivative of u(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-47 - -8 - 5) + -5 + -2. Put 3, 10, g in increasing order.\nAnswer: g, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 1269 = 144*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504 by 6.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -7161?\nAnswer: 5\/7161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2310 = 4*g + 906. Let x(c) = -8*c**3 - 4*c**2 - 3*c - 20. Let a be x(5). Let k = g - a. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 4450, 2 in increasing order.\nAnswer: 2, 33, 4450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29244 + -21314. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:30 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f. Suppose f = 3*q + 3*x - 45, 2*x + 0*x - 56 = -4*q. Solve 3 - q = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t + 1. Let s be o(3). Let i be 1\/1 + 2 + s. Let g be i\/(-20)*50\/(-4). Solve 0 = -3*d - g + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 21 = -j. Suppose -3 = -3*r - j, f - 16 = -r. Suppose -3*h + 78 = -f. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 2*f**2 - 3*f + 2. Let s(n) = 4*n**3 - 7*n**2 - 9*n + 7. Determine -7*k(w) + 2*s(w).\nAnswer: w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21953.\nAnswer: 29, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762925142?\nAnswer: 2, 7, 53, 1028201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c = -25*c. Solve c = -4*l + l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 11*l**2 - 8*l - 11. Let b be a(10). Suppose -c = -51 + 6. Suppose 0 = -h + c. Calculate the highest common factor of b and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180875 or -180876?\nAnswer: -180876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -56 + (-3 + (-17 - -2) - -6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4120 + 2*o - 4120.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 4*y**2 + 0 - 5\/3*y**3 + 1\/8*y**4 + 0*y. What are the prime factors of t(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 65*i**2 + 4*i - 1. Suppose 0 = -3*r - 5*j + 10, -j - 2 = -1. Let a(d) = 66*d**2 + 4*d - 1. Let v(w) = r*a(w) - 4*g(w). Is v(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163 - 161. Let u(h) be the second derivative of 2*h + 0*h**f + 0 + 1\/3*h**3. What is u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 642.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-1)\/21) - (-22)\/(-11). Suppose -m = -v + 4. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 48 = 8 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 5*d + 2. What is n(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13102 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: Suppose 3*y - 3*m + 5 = m, 15 = 4*y - m. What is the closest to -2\/5 in y, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 - 3*a - 2. Let m be y(-1). Suppose -4*w + 3*w + 35 = 0. Calculate the greatest common factor of w and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 14*o - 2*o**2 + o**2. What are the prime factors of f(5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*u**4 - 2*u**3 - 639*u**2.\nAnswer: -144*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1311123 (base 4) to base 8\nAnswer: -16533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 4*m**2 + 4*m - 5. Let j be w(-5). Solve 3*s + 6 = a - j, -a = 4*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 269, -16817\/6, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1799 + 3921 = 0. Let h be 2\/5 + 469\/m. Let q = h + 2\/143. What is the second smallest value in q, -2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 551?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000 (base 2) to base 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1727 + 2541 = 22*w. Is 11 a factor of (-4)\/(w\/259 + (-6)\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -15 + 25. Suppose t*q + 0*q = 5*j + 24, -20 = 5*j. Solve -3*m = 5*s + 15, -q*s + 1 = 2*m + 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-1 - (-4)\/1). Let v(y) = -y**3 + 2*y**2 + 2. Let w(h) = h**2 - 1. What is i*v(s) + 2*w(s)?\nAnswer: -s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9665396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26460 divided by 7?\nAnswer: 3780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 4}. What is prob of picking 2 n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 7*g + 4. Determine v(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 10:42 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Suppose -d = 2*c - 3*c. Suppose 2*b - 34 = 5*z, -z = c*b - 15 - 7. Solve -2*v = -6*v - b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 4*w**2 + w - 2. Suppose 0 = -5*f + 24 + 126. What is the remainder when f is divided by d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 13) in base 4?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 392.\nAnswer: 1\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*x + 2*b + 322816, 3*x = -5*b + 242080. Suppose 45*q = 817455 + x. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(((-85)\/(-25))\/17)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaauaaaauauauaauaaa. What is prob of picking 3 a?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/2 + 57*s**2 - 75*s\/2 - 666.\nAnswer: -3*(s - 37)*(s - 4)*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2227381 times -6\nAnswer: -13364286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1155 + 12?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -956 (base 11) to base 14.\nAnswer: -5c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 3959*q**2 + 3987*q**2 - 7946*q**2 + 1177*q**3.\nAnswer: 1177*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1010.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 7:21 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*u + 149*u + 121*u**3 - 299*u - 476*u**3.\nAnswer: -355*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4923322, -4923380, -4923438, -4923496?\nAnswer: -4923554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = t + 2*t - 2*p, 2*t - 3*p + 15 = 0. Let r be ((-2)\/(-1) + -2)*1. Solve t = 3*o + 3*u - 4*u - 10, -3*o + 4*u + 13 = r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-20)*q)\/q)\/(q*q**41) assuming q is positive.\nAnswer: q**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 155134519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 4653. Let f be a(0). Let z = f + 167543\/36. Find the common denominator of -53\/2 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 7*z**4\/5 - 6197*z**3\/5 + 1375506*z**2\/5 - 1760044*z\/5 + 390728\/5 = 0.\nAnswer: 2\/7, 1, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a microsecond in nanoseconds?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70433 is divided by 23461?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -98.7721 to one dp.\nAnswer: -98.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 18*s = 95. Suppose s*p + 4 = 17*p. Which is the smallest value? (a) p (b) 2\/15 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 5. Let k be v(-7). Let n be 0\/(-3) - k - 28. Calculate the common denominator of -16\/5 and ((-35)\/n)\/(2\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2032*h**2 - 240581 + 120290 + 3*h + 120290.\nAnswer: -2032*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.0309655*-0.1.\nAnswer: -0.20309655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**4 - 185*g**3\/6 + 2*g**2 + 21*g. What is the tens digit of y(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2441 less than -17445.982135?\nAnswer: -15004.982135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1928668, -0.1 in increasing order.\nAnswer: -1928668, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*i - 5*i. Let u(f) = f - 4*f**2 + 6 + f - i + 3*f. Let b(r) = r**2 - r - 1. What is -5*b(a) - u(a)?\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(130))\/sqrt(10) - (sqrt(91)*-3)\/sqrt(7)) + sqrt(1300) + -1 + (sqrt(13) + 3)*-2 + -5.\nAnswer: -12 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-40)\/30)\/(2\/(-63))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0, -0.3, 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 2. Let z(r) = r**3 - 7*r**2 - 6*r - 12. Let h be z(8). Solve -t*y + 4*y = h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/364160605 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.608 - 0.392. Sort m, 15, 2\/11 in descending order.\nAnswer: 15, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396399763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 73*b - 69*b + 4, -3*v + 5*b = -5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10221*l**2*n**3 + 376*l**2*n - 2*l*n**3 - 113*l*n**2 + 2*l*n wrt n.\nAnswer: -61326*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 68*j**3 + 3*j**2 - 1. Let b be h(12). Let m = b + -1063474\/9. Let n = m + 229. What is the closest to 0 in n, -0.5, -3\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 210417*f. Let n(x) = -431*x. Calculate n(d(z)).\nAnswer: -90689727*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t + 4*t**2 + 0*t**2 - t**3 + 1 + t - 2. Let k be o(5). Find the first derivative of k*c**3 + 2 - c**2 + c**2 + 2 wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1958 + 49.9478. Let j = -49 + a. Round j to two dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) + 1076\/(-18). Let x(a) = a + 17. Let m be x(0). Let f = m - y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42 - 50*v + 10 - 2 wrt v.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3383864 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 4*s - 4*n + 28, 30 = 3*s - 2*n. What is the lowest common multiple of s and (-184)\/(-18) - 16\/72?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 10726119?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (33 - 16) + (-6 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((9 - 10) + 1\/1)\/(-2). Which is the closest to 1? (a) -1 (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1440 and 60?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*y**2 + 14*m**2 - 2*m*y - 3*y**2 - 33 wrt m?\nAnswer: -2*y**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13451 + 13452. Sort 7, k, -11, -2, 4 in ascending order.\nAnswer: -11, -2, k, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 25 = -5*i, i + i - 12 = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**4 - 2*r**4 + r**3 + 55*r**2 - 54*r**2 + r - 1 to the form s*r**3 + b*r + k*r**4 + i + h*r**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.804272 take away -5?\nAnswer: 113.804272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*f - 3*r - 21, 0 = -4*f - 3*r + 6. What is the tens digit of -1 + 16 - 0 - f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in 4, -5, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2918998033 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 4*v**2 + v + 5. Let x be s(3). Is x bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*f + 37*f + 222 = -27, -3*q + 40 + 5 = -2*f for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 u, 1 r, and 1 q when four letters picked without replacement from {u: 1, j: 2, v: 2, q: 1, r: 1, o: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44070*c*z**2 + c*z - 2*c + 91201571*z**2 with respect to c.\nAnswer: -44070*z**2 + z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 7*w = -6*w + 4, 2*j + 3*w + 12 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 - 459*b**3 + 461*b**3 - 2 + 3 + 0 - 517*b - 526*b**4 wrt b?\nAnswer: -6312*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, u: 3}. Give prob of picking 1 u and 1 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71343978 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: Factor -3*t**3 - 27954*t**2 + 981963*t - 954006.\nAnswer: -3*(t - 34)*(t - 1)*(t + 9353)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19\/4 (b) -11 (c) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. What is the second biggest value in 0.5, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*h + 12, -5*h + 2*h - 12 = -4*p. Let s be 7\/(7\/h) + 24\/2. Solve s + 2 = 2*c - 4*j, 5*c = 5*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 + 15 = 0. Let z(n) = -n**3 + 10*n**2 + 3*n + 8. Let q be z(v). Suppose 0 = -85*o + 92*o - 112. What is the highest common factor of q and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1668 - -2948. Calculate the greatest common factor of 120 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4234149 to the nearest integer?\nAnswer: 2058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 37148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 962 + -930. Calculate the greatest common factor of k and 512.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -210*s**3 - 1. Let q be b(-1). Let q*o**3 + 42*o**2 + 47 - 119*o - 9 - 211*o**3 + 41*o = 0. Calculate o.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r + 16*r**2 - 5 + 0 - 15*r**2. Suppose 6*p - 15*p - 234 = 0. Let h = p + 22. Give c(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 25 = 0, -5*n = x + 12 + 6 + 57 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553 + 185 = -123*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50460, -100922, -151384?\nAnswer: -201846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*x = -1, 2*b + 4*x = x - 29. Let m be (4\/b)\/(8\/(-10)). Let z = m + -7\/10. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*d - 39, 6 = 2*w + 5*d - 43. Let q(p) be the third derivative of 3\/20*p**5 - 1\/6*p**3 + 1\/24*p**4 + 0*p + 0 + 30*p**w. Calculate q(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2*8\/56*-7. Let i(j) = 10*j. Let c(f) = -f. Give h*i(y) + 4*c(y).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12006071, -12006086, -12006101, -12006116, -12006131, -12006146?\nAnswer: -12006161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 122696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, d: 1, s: 4, h: 2}. What is prob of sequence nns?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (10 + -9) - (7 - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**3 + 7*v**2\/2 - 3*v + 35. Let r be m(-3). Solve 7*z - r*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (729 - 782) + (11 - -1) + 10 + -9 + -7.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**4\/4 + 5*a**3\/3 + 6*a + 7. Give o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-16)*2\/1*1. Suppose 5*v - f*k + 18 = 204, -2*k + 176 = 5*v. Calculate the greatest common divisor of v and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**4 + 1909028*o**3 - 227796196284*o**2 + 5238302687388*o = 0.\nAnswer: 0, 23, 238617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48.9 - -2.1. Let z = o - 50.9999914. Round z to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4. Let i(l) = 169*l - 2. Give i(r) + p(r).\nAnswer: 169*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 303681, 303616, 303507, 303354, 303157, 302916?\n\"Answer: -22*j**2 + j + 303702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17394324082443469.99999999 - 17394324259380281. Let h = -176936816 - q. Let o = -5 - h. Round o to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 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: What is the next term in -59820, -59748, -59628, -59460, -59244, -58980, -58668?\nAnswer: -58308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*j - 5, -3*d + 8 + 9 = 5*j. Suppose 0 = -3*y + 20 - 14. Suppose y*i + 5 = d. Solve -u + 2*u = i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -23*b + 6. Suppose q + 1 = b, -4*j - q + 140 + 11 = 0. Calculate the remainder when 41 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16710268?\nAnswer: 2, 739, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 648776416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*c - 3*c. Sort -0.011, -0.4, c, 0.5 in descending order.\nAnswer: c, 0.5, -0.011, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6) - (-35)\/(-2). Let v = -15 - c. Find the first derivative of 12*y - 3 + 10*y**v + 2 - 12*y wrt y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 107891466, 215782928, 323674390, 431565852, 539457314?\n\"Answer: 107891462*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/145 or -1?\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658 + 234 - 900 - 14*n.\nAnswer: -14*n - 1324","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 z when four letters picked without replacement from mqzqmqyqyzz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 191594*u\/7.\nAnswer: -2*u*(u + 95797)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1460, 2784, 3972, 5018, 5916?\nAnswer: 6660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0*r - u + 11, 0 = r + 5*u - 28. Let b = 5 - r. Solve -b*t + t = -4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4958240 to the nearest 10000.\nAnswer: 4960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1185*c*k**3 + 12*c*u**2 + 11*k**3*u**2 + 442*k**3 wrt c.\nAnswer: -1185*k**3 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 93. What is the third smallest value in -2, -1\/4, 0, m, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 833.1722 millilitres to litres.\nAnswer: 0.8331722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4149 - 1776. Suppose -16*z = -13*z - a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r. Let p(s) = -8*s**2 - 3*s + 3. Let l(n) = 15*n**2 + 5*n - 5. Let w(t) = -3*l(t) - 5*p(t). Give j(w(o)).\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032004 (base 7) in base 4?\nAnswer: -132221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 9865400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - g**2 - g + 19. Give x(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.24 + 8.24. Let q = m + -9. Let f = -0.076 + -8.924. Which is the second biggest value? (a) q (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/400 and -39\/280?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 5*i - i**2)*(-9*i - 4*i + 15*i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 + 6*x + 45.\nAnswer: -3*(x - 15)*(x + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i**2 + 5*i + 46. Let q(a) = -13*a**2 + 10*a + 88. Let u(b) = 6*q(b) - 11*x(b). Calculate u(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 2573664.\nAnswer: 2573664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1781*t - 3551*t + 1772*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o. Factor 0*q + 1\/6*q**3 + o*q**2 + 0 + 1\/6*q**4.\nAnswer: q**3*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:49 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.46 and -886.\nAnswer: -407.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2\/5 (b) 2\/11 (c) -1\/3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(0 - 6\/45*3). Let q be (-140)\/(-21)*24\/u. Calculate the highest common factor of 48 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - k - 6 = 0, -5*y - k + 12 = -12. Let f(l) = 9*l**2. Let b(i) = 4*i**2. Give y*b(x) - 2*f(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.47 + 8.8. Let i = 33.67 + m. Let y = -27 + i. Put y, -2, 0.5 in ascending order.\nAnswer: -2, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -102.\nAnswer: 31\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5*m - 65 = 7, 2*m - 69 = 2*k + 7*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 330962429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13292*d**3*y**2 - 13817*d**3 wrt y.\nAnswer: 26584*d**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10033 + -10033.04. Which is the second smallest value? (a) 0.4 (b) 1\/4 (c) 2\/15 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(((t*t*t**(-9\/8))\/t)\/t*t)\/t)\/(t\/(t*t\/t**(-4\/23)))*t**16*t\/t**(-6))**(-3\/14) assuming t is positive.\nAnswer: t**(-13275\/2576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56832518 and -3?\nAnswer: -170497554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 9*x**2 - 10*x + 15. Let k be f(10). Suppose -2*a + 7 = 17. Let q(z) = z**2 + 5*z + 3. Let y be q(a). Solve 0*w + y*w = -k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 3*r**2 - 2*r**2)*(7*r**2 - 5*r**2 + 7*r**2).\nAnswer: 27*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*t - 267 + 16, -2*c - 126 = t. Let j be ((-224)\/t)\/((-2229)\/2228 - -1). Round j to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11401224 - 3?\nAnswer: -11401232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186162 = -409*c + 206640 - 13659. Solve 3*h + c = 924 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 4)*(0*j + 0*j + j) + j + 2*j - j in the form g + u*j and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 1388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2. Let x(n) be the third derivative of 0*n + 5\/12*n**5 + 0*n**3 - 1 + 0*n**4 + 54*n**2. Calculate s(x(a)).\nAnswer: -4375*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1215 (base 14) to base 8.\nAnswer: 6123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - -1 - 1794)*(-8)\/12.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8e2 - -12?\nAnswer: -8d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -411560200, -411560201, -411560202, -411560203?\nAnswer: -411560204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 8*t**2 + t - 3. Let q be x(8). Suppose -q*b = -5*g - 235, -6*g + g - 186 = -4*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1274 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from jmmqmkmkqfffqfqm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 + -12 + 728 + -2?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479 divided by 266?\nAnswer: 479\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 40749 = 3*z, 506*d - 503*d - 30562 = -2*z. Is 36 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8 - 1 + 8 - 3*b. Let p(t) = -t**3 + 2*t**2 - 4*t + 3. Let g be p(2). What is the units digit of a(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.25 and 1385602.627.\nAnswer: 1385602.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 165*h**3 + 10 + 21 - 408*h**3 - 39.\nAnswer: -243*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61793 and 173223?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2)*38*2\/(-6). Let y = 82 + -45. Let v = y - n. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56361 + -507247\/9. Factor -o*v**4 - 16\/9*v**3 - 4\/3*v - 26\/9*v**2 + 0.\nAnswer: -2*v*(v + 1)**2*(v + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crcrrcbbxlww. Give prob of sequence rccl.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npdk when four letters picked without replacement from {k: 1, v: 2, b: 2, d: 7, p: 4, n: 1}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 842182963 at least as big as 842182964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g - 390. Suppose -124*q = -143*q + 583 + 82. What is l(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105142 + 13322?\nAnswer: -51420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8525242.\nAnswer: 2, 11, 479, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -51. Let u = -4 + 0. Let i(b) = 5*b**3 + 9*b**2 + 9*b + 4. Let y(o) = o**3 + 2*o**2 + 2*o + 1. Calculate n*y(c) + u*i(c).\nAnswer: -2*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111 - 1*2\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111440925814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227, -449, -683, -935, -1211?\nAnswer: -1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 39\/4 (b) -2\/13 (c) 0.2 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**3\/12 + 3*o**2\/2 - 5*o - 485. Factor t(b).\nAnswer: -(b - 10)*(b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hggyygygyy. Give prob of picking 1 g and 1 h.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*u + 4 + 20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 2:43 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -49096494, -98193007, -147289520?\n\"Answer: -49096513*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/13)\/(w\/w**11*w))\/(w*w\/(w*(w\/w**0)\/w))**(4\/27) assuming w is positive.\nAnswer: w**(3053\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 7*i**2 + 3. Let v be o(7). Suppose -v*r = -1 - 11. Differentiate 0*s**4 + 0*s**4 + 1 - s**r wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {b: 2, l: 1, r: 8, o: 1, g: 2, z: 6}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 142\/10 - 2\/10. Is 2*15\/12*k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**3*u**3*w + 46*p**3*u**3 + p**3*u**2 + 2*p**3*w + 12*p*u**2*w wrt w?\nAnswer: p**3*u**3 + 2*p**3 + 12*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, n: 2, l: 7}. Give prob of sequence nol.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*a = -188*a - 54 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*r + 129*r = -66. Let b = -85 - -81. Suppose a + a = 4. Sort r, b, a in ascending order.\nAnswer: b, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awawwwu. Give prob of sequence uw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2472885373 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16 + (9\/18)\/((-5)\/70) - -5. Which is the nearest to 0? (a) -2\/7 (b) -23 (c) -3\/7 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 74*t + 20*t**2 - 1 - 21*t**2)*(3*t**3 - t**2 + t**2).\nAnswer: -6*t**5 - 222*t**4 - 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -73273776 minus 0.2?\nAnswer: -73273776.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 5*x + 5*x)*(21*x**2 - 1789*x + 1789*x) in the form j + w*x + m*x**2 + l*x**3 and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2035048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12064 is divided by 109.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -9\/5*r**5 + 211 - 3\/2*r**4 + 12*r**3 + 0*r + 1\/2*r**6 - 12*r**2. Determine j so that v(j) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/158229 and -111\/130.\nAnswer: 20569770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-5 + 5 - 17 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -949, -907, -865, -823, -781?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -107, 2 in decreasing order.\nAnswer: 5, 2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437*g = -440*g + 2*q + 1, g + 9 = 3*q. Let j(t) be the second derivative of 13\/2*t**2 - 1\/12*t**4 + 0*t**g + 0 - 23*t. Determine j(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2109 - -2114. Which is smaller: 52 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/9 + 12116*o**3\/9 - 6116560*o**2\/3 - 12116*o\/9 + 18349682\/9 = 0. What is o?\nAnswer: -1, 1, 3029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 12*m - m - 8*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 32. Let y = n - 10. What is the remainder when (-92 + (3 - -1))\/y is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574285549 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3710*g**3 + 3697*g**3 - 7403*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90398, 180774, 271156, 361550, 451962?\nAnswer: 542398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 96737051 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.082 + -0.182. Let j = w + -11.2. Is j smaller than 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:50 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 - q - q + 12*q**2 + 4*q - 49*q**2 + 38*q**2 to y + k*q**2 + o*q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 0.6 (b) -0.5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564360.\nAnswer: 2, 5, 7, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 + 92. Let f = -141 + u. Calculate the remainder when 461 is divided by f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8482 + 8473. Let i(x) = -x**3 - 12*x**2 - 19*x + 69. Give i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4306083479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2321082225?\nAnswer: 3, 5, 7, 11, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r**2 + r - 1. Let v(f) = -33*f**2 - f + 5. Let x(p) = 2*s(p) + v(p). Suppose -4*q = -2*q - 12. Let a = -3 + q. Calculate x(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 12:13 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + x + 14. What are the prime factors of h(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 + 94. Let h(b) be the first derivative of -b**4\/12 - 3*b**2\/2 + b + 3. Let a(f) be the first derivative of h(f). Give a(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 624149474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1292 = 11*q + 8*q. Let p = -66 + q. Calculate the least common multiple of p and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 6*c**2 + 6*c. Let d be b(5). Let h be -1*(d - 1) + (31 - 24). Factor -5*l + 66*l**h - 136*l**3 + 75*l**3.\nAnswer: 5*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 31, 4, -6 in decreasing order.\nAnswer: 31, 4, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 4*s + 4*s + 6*s + 0*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 435.1174 litres?\nAnswer: 435117.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 + (5 + 0 - 4)*(-1 + 1 - 1) - 1 - 2 + 1 + 2 + 3 - 4)*(9*j - 3*j - 117*j).\nAnswer: 444*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 1 + l**3 - 3*l**4 + 1116*l**2 + 0 - 8*l**3 - 1113*l**2 as d + r*l**4 + u*l**2 + s*l**3 + z*l and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 51 - 51 + 0*r - r. Let w(m) = 54*m. Give w(z(i)).\nAnswer: -162*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3530*f**4 - 18*f**3 + 7*f - 3036746 wrt f.\nAnswer: -14120*f**3 - 54*f**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 + r - 389548*r**2 + 389547*r**2 + 37*r**3 - 315*r**3 in the form m*r**4 + d + p*r**2 + u*r**3 + s*r and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 11. Let g be b(9). Let s(t) = t**2 + 2*t - t**2 + 3 + 0*t**g - 2*t**2. Determine s(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348824, -697658, -1046492, -1395326, -1744160?\nAnswer: -2092994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-1) - (-4 - -1). Let f(z) = -z**3 + 7*z**2 - 6*z - 20. Let y be f(m). Let v = -18 - y. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1570375, 1570507, 1570639?\n\"Answer: 132*h + 1570243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.18 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = i - 80 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122147?\nAnswer: 122147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 180\/100*(-2)\/3\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/5 - (-48)\/10. Suppose -3*m = k - 0*m - 2, -2*k + g*m = -15. Let c(u) = u**2 - 6*u + 6. Calculate c(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from fznnnffnffn.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -28 + -3 - 14\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 25.16102573983\nAnswer: -23.16102573983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311 divided by -10?\nAnswer: -2311\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-10))\/(1\/(-5)*-1). Let o = -2 + 6. Let x = 5 - o. Sort z, 0.3, x.\nAnswer: z, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*d**2 - 127*d**4 - 8*d**3 - 2*d**2 + 8*d + 129*d**4 = 0. Calculate d.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9283.\nAnswer: 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 5 - -533 - -5 - (4 - -1).\nAnswer: 2690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88.5099 - -20.47834. Let u = t + -109. What is u rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190672410 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670.2508 grams to kilograms.\nAnswer: 0.6702508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 9589 = 4046 - 9199. What is the smallest common multiple of t and 312?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**6\/30 - 623*x**5\/60 - 2873*x**4\/24 - x**2 + 1582. Find the second derivative of w(f) wrt f.\nAnswer: -24*f - 1246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 870*w + 37845. Let k(f) = -15*f**2 - 14790*f - 643365. Let s(b) = -35*i(b) - 2*k(b). What is d in s(d) = 0?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123210032 + 220?\nAnswer: -123203212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -181? (a) -0.2 (b) 3 (c) 397 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -710*y + 312 = -706*y. Let w be (y\/26)\/((-6)\/8). Let i(m) = -m + 8. Let s be i(6). Put -9, s, w in descending order.\nAnswer: s, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) -4 (c) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.15? (a) -5 (b) -1\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:34 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -15. Suppose 4*r = -q*r + 8028. Suppose 3*m - r = -510. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 14. Let s = -14.3 + r. Let w = -0.0956 - -3.0956. Which is the second smallest value? (a) s (b) 0.07 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(57\/(-6) + 2). Let o be (-2)\/4 + (-27)\/(-6). Suppose -s + 1 = o. Which is greater: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 11*s + 240164 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16787\/6 - -2798. Which is the smallest value? (a) 107 (b) 1.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/(-4) - 1)*1. Find the third derivative of -2*c**4 - 14*c + 14*c + p*c**2 wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(8\/7)*y**(-14))\/(y*y**(-1\/2)*y)**(-4\/5) assuming y is positive.\nAnswer: y**(-408\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-6267)\/(-9))*(-9)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(5*2\/(-1655)). Let m = 331 + r. Solve -4*v = -m*v + 5*n, -v = -5*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -133140?\nAnswer: 133144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12588 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 18. Suppose 0 = -2*t - 1 + 17. Calculate h(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2005133080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*(-4)\/(-6). Which is bigger: l or -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 4*q. Let t(g) = -3*g + 6*g**2 + 19*g + 3*g + 8*g. Let c(l) = 27*h(l) - 4*t(l). Let f(z) = -z**2. Calculate f(c(a)).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21342720 by 1191.\nAnswer: 17920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/42)\/(11\/99).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269677525 divided by -1739855.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h + 6 = 0, 3*w - 40 = 5*h. Is w greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oogogggogo. What is prob of sequence gogo?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*3\/18*((-36)\/160)\/(63\/42)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -36 + 14 + 5*u + 19. Let y(b) = 14*b - 8. Determine -17*h(a) + 6*y(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scd when three letters picked without replacement from zzcscd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 17, u: 3}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -52. Let j = 303555035.9999999 + -303555013. Let w = j - c. Round w to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2\/7, -2, -4264?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/50)\/(((-56)\/5)\/4)*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 1. Let y(n) = 3*n + 6. Give -5*g(j) + y(j).\nAnswer: -2*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.001*-124944\nAnswer: -124.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28952 - -1917. What is the ten thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*q + 1 = 2*q, -4*o - 1 = -5*q. Let g(c) = -18*c - 55. Let i(x) = 10*x + 33. Let k(v) = -4*g(v) - 7*i(v). Calculate k(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**3 - 3586*z**2 + 535210*z + 178802.\nAnswer: 2*(z - 299)**2*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -52. Let r be 240\/h + (-2)\/(-5). Let j(m) = -r*m + 6*m + 6*m. Give j(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668*x = -678*x + 25030. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0779 or -219?\nAnswer: 0.0779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24835*a**5*l - 53*a**5*m - 10055*a**2 + 2*a*l*m - a*m - 195*l*m wrt a?\nAnswer: -1490100*a**2*l - 3180*a**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-390 + 390 + 4*r)*(4*r + 8*r - 2*r) + (4 - 1 - 1)*(-4*r**2 + 0*r**2 + 3*r**2).\nAnswer: 38*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -22*q - 3. What is f(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91802.740981 - 91761.741. Let r = -38 + 79. Let l = r - c. Round l to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19644\/15319 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*s + 118*s = -8, 0 = 5*f + 3*s - 347. Let w = 4 - 2. Suppose c - w*c = -y + f, -119 = -2*y - c. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqw when three letters picked without replacement from {q: 1, d: 1, a: 2, e: 1, w: 2, l: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 11. Let r be (-9)\/z*(-2 + 0). Solve r*m = -4*f + 29, 2*m + 10 = -4*f + 36 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 18585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {b: 3, o: 1, l: 1, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10)*m)**(-6\/7) assuming m is positive.\nAnswer: m**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-50)\/15 - -1)*-3. Let m(n) = -4 + n - 32*n + h*n + 22. List the prime factors of m(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h - 6. Let k be o(4). Let m(v) = 2*v - 10 - 8*v - v - v. Let q be m(-10). What is the highest common factor of q and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51280*v + 51270*v + 200 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.3192 - -62.692. Let w = -94 + z. What is w rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4432 + -2a9?\nAnswer: 4145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**3\/3 + w**2 - 7*w. Let a be r(0). Solve -o - 9 = a*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 16) in base 5?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 243370\/37, -5, 4 in descending order.\nAnswer: 243370\/37, 4, 3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000086914513 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 1250 - 539 - 51823*q**3 + 51824*q**3.\nAnswer: q**3 - 5*q**2 + 711","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -11*i - 11. Let f be t(-1). Solve 3*o + 2 - 8 = f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3352385 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/22 - -1) + (-4256)\/176 - (-21 + 24)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + 4.1. Let g be (8\/18)\/(0 - 2). Let u be 2\/3 + 56\/(-102). What is the second smallest value in g, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*d = 20, 3*y - 20 = 5*d + 10. Let o(f) = -5*f - 8. Let k(g) = -1. Let s(c) = 5*k(c) - o(c). Calculate the remainder when s(3) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1304496)\/(-126))\/8 + 6\/7. Calculate the highest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {r: 11, y: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = k + 4. Suppose -5*u = k*u - 1392. Suppose -3*s + 6*s - u = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 435, 885, 1337, 1791?\n\"Answer: a**2 + 447*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -358.8 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504443284 to the nearest integer?\nAnswer: 22460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283 + 360 = -382*b + 415*b - 418 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8829 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6107 and 981925.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/23 and 49\/200675.\nAnswer: 200675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 226 = 4*d - 7*d, 14 = -5*r - 4*d + 226 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {h: 5, v: 1, e: 1, y: 1, r: 5, s: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -180, -178, -176, -174?\n\"Answer: 2*i - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 12:57 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 3*x + 30. Determine d(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-1)\/25 - 0. Which is the third smallest value? (a) -0.3 (b) -23 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1365876 and 948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 2*c**2 - 3*c + 3. Let l(h) = 35*h + 177. Let b be l(-5). Calculate j(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooxd when four letters picked without replacement from {o: 4, d: 6, x: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8759 and -8711318.\nAnswer: -8720077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -16 + (-8 + 2 - (-7 + -1))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**2 - 2*i + 1. What is s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/531)\/((-2)\/(-8)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1645703 - 1645793.6953. Let f = -0.1047 + q. Round f to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1710 and 68280.\nAnswer: 3891960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n + 184 - 16*n - 22*n - 184 + 86*n - 25*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 3 (b) -4 (c) -0.1 (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 6*j**2 + 10*j - 1. Suppose -5*y + a + 19 = 5*a, -y + 5*a = -27. Let x(u) = -12*u. What is the remainder when x(-3) is divided by l(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.011 + 71.011. Let q = 101 - n. Which is the second biggest value? (a) -5 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - d + 2 = -2, -u + 11 = -4*d. Let n be (3\/2)\/((-2)\/(-4)). Let t be 15\/6*n\/30. Which is greater: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**5 - 321*d**2 - 9*d - 9?\nAnswer: 40*d**3 - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 211, 309, 405, 499, 591, 681?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1176973838*m**3 + 88285891*m**2 + 1724804*m + 10092.\nAnswer: (62*m + 3)*(4357*m + 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/5)\/(-4 - (-84)\/20). Put -0.2, l, -2, 5 in descending order.\nAnswer: 5, l, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5085 - 0.1085. Let n = -1586\/11 + 144. Sort n, d, 20\/9 in ascending order.\nAnswer: n, d, 20\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1181.9 + 1182. What is the closest to -9 in -4, p, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -30. Calculate the remainder when 85 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 0*j - 4*j - 4*j**4 + j + 4*j in the form l*j**4 + x + z*j**3 + d*j + c*j**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, p: 1, q: 7, m: 2, t: 1}. What is prob of sequence qrmm?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/5)\/(8\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 345.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 104697, -3, 12.9, -1\/9 in descending order.\nAnswer: 104697, 12.9, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-45))\/((-2)\/(-38)) + -4. Suppose -5*w = -l - 4 + 3, -17 = 3*w - 5*l. Let a be w\/2 - 1\/2. Which is bigger: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -32\/13?\nAnswer: -32\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -551*g**2 - 1062*g + 1141*g**3 + 13*g**4 - 1093*g**3 - 648 + 153*g**2 + 19*g**4.\nAnswer: 2*(g - 4)*(g + 1)*(4*g + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16a12 + 3?\nAnswer: -16a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = 2348. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 104244530?\nAnswer: 104244524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.15 (b) 2\/5 (c) -0.3 (d) 82063.4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**5\/7 - 48*m**4\/7 + 36*m**3 - 432*m**2\/7 = 0?\nAnswer: 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t*u**3*w**3 + 46*t*u**2 - 4*t*u*w**2 - 2*t*u + 13*u**3*w**3 - 26*w**3 wrt u?\nAnswer: 24*t*u*w**3 + 92*t + 78*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 65096066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156*n*p - 1233*n - 2*p wrt p?\nAnswer: 156*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 - 935*g + 2828*g + 5*g**2 - 939*g - 954*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = i + 3*i, -5*q + 4*i = -10. Let t(g) = -g - 63. Let b be t(0). Let h = 191\/3 + b. Does q = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**4 + 12*k**2 - 12*k**2 + 3*k**4 + 4*k**4 - 6*k**4 + (52*k - 24*k - 20*k)*(0*k**3 + k**3 + k**3) + 13*k**4 + 9*k**4 + 0*k**4.\nAnswer: 44*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*o + 70, -4*i + o + 140 = 3*o. Let p = i + 92. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 8*v + 65. Let z be c(-13). Let n(p) = p**3 - 2*p**2 - 4*p + 44. Let i be n(z). Solve -40*r = -i*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 - 54*x. Let d be c(9). Find h, given that 0 + 18\/7*h**4 + 0*h**2 + 4\/7*h**3 + 2*h**5 + d*h = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 633\/7. Let k be (-5)\/(-7)*2\/5. Let x = -0.2 - 0.3. What is the second biggest value in k, x, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 21*t - 32. Let f = 35 - 11. Let g be v(f). Calculate the highest common factor of 100 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363372 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 13 = 8. Solve -q + 4*n + 6 - 21 = 0, -c*n + 11 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from {p: 3, q: 1, a: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 5.1. Let s = -11 - k. What is the biggest value in 0.2, -3, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*z + 14. Suppose 0*h + h = p + 62, 0 = -5*h - z*p + 265. Let i = -36 + h. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + u + 9. Let f be c(-4). Let s = 21 - f. Solve -3*j + 7*j - 8 = s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 4*m**3 - 10*m - 12*m - 9*m + 36*m - 5*m**3.\nAnswer: -m**3 + 5*m - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -105?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 945*l + 2113 = 1157 - 3769 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -29418.88321 to the nearest 10.\nAnswer: -29420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368074?\nAnswer: 2, 7, 61, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 339033 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: What is 538 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (99*48\/924)\/((-3)\/14)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhg when three letters picked without replacement from phjugjphpggpu?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 32. Let k = 66 + t. Let y = k + -173\/6. Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**3 + 7*z**3 - z**3)*((-6*z + z + 3*z)*(-3 + 5 - 3) + z - 6*z + 0*z) in the form f*z**2 + y + n*z**4 + c*z + o*z**3 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 6:41 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132251 by 25.\nAnswer: -132251\/25","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2848*t**2 + 51*t + 7.\nAnswer: -5696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -3) + 0 + 0. Let f(h) = -h**3 + 4*h**2 + 3*h - 1. Calculate the remainder when 40 is divided by f(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**4\/4 + p**3\/3 - 4*p + 1. Let r be v(3). Suppose 4*k - r = 4*i, -13 = -4*k - 3*i + 19. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*j = 12, 4*j + 15 = 5*x - 12. Let k(q) = -q - q**3 - 58*q**2 + 2*q**x + 57*q**2. Determine k(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1339 = -3*o + 1354 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 0.04 (c) 9 (d) -2\/3 (e) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8*u\/(u*u*u\/(u\/u**(-4\/9)))*u)\/((u*u*u*u*(u\/(u*u**(-1)*u)*u)\/u*u)\/(u*u\/(u**(-5)*u))) assuming u is positive.\nAnswer: u**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -36*-1.927\nAnswer: 69.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.0107 times -0.1181\nAnswer: 0.00126367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 445, 832, 1219, 1606, 1993?\nAnswer: 2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 + 2*x**2 + 3*x + 8. Let k(q) = 6*q**3 - 7*q**2 - 8*q - 23. Calculate -8*f(l) - 3*k(l).\nAnswer: -2*l**3 + 5*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/30)\/(651\/124).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 + -166. Which is the second smallest value? (a) -5 (b) -1 (c) u (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00533185328 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131356 is divided by 142.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 4*h**3 - h**3)*(3 - 1 + 0)*(-h - 2 + 2)*(1 - 4 + 0)*(46 - 230 + 108).\nAnswer: 456*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010010 (base 2) to base 6.\nAnswer: -2430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 10) in base 14?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7730*a - 7733*a - 7729*a - 7730*a - 7735*a + 38698*a.\nAnswer: 41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2494.811 milligrams to tonnes.\nAnswer: 0.000002494811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 342\/1881 + (-493674)\/(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l + 40*l + 48*l - 1416455 = 0. Is 109 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232228*0.2.\nAnswer: 46445.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -109*o**2 - 10*o - 13. Let r be u(-2). Let q = -349 - r. Calculate the greatest common divisor of 256 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = j - 50, j - 5*j + 2*n = -170. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**2 + 1007790*w + 7054677 = 0.\nAnswer: -7, 335937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 8. Suppose -2*r + n - 3*n = -32, -4*r + 63 = w*n. Suppose 0 = 4*k - r + 5. Do 1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7861853 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121452 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-4))\/(13\/(-442)*34\/(-2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296 and 128?\nAnswer: 4736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306854.3 - 84.0461.\nAnswer: 306770.2539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) - -3*(-1 + sqrt(539)).\nAnswer: -3 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/11 + 3*31\/(-33)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 1:35 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -1.3\nAnswer: -0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**3 + 22*h**2 + 37*h - 26. Let x(k) = 3*k**3 + 10*k**2 + 19*k - 12. Give -6*m(c) + 13*x(c).\nAnswer: 3*c**3 - 2*c**2 + 25*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 31*u**2 - 29*u - 100. Determine a(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 + 5*q - 61 + 2*q - 3*q + 0*q + (6 - 3 - 2)*(2 - q - 2))*(0 - 1 + 2)*(-3 - 3 + 5)*(-2*q**3 + 2*q**3 + q**4).\nAnswer: -3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 6 = -3*n. Let c be (0\/3 + -1)*0*n. Solve c = -0*q - q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -623 * 2\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 752034 and 135366120?\nAnswer: 135366120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 348 in 2, -2, -0.1, -2\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 26 + 3\/2*v**2 + 1\/3*v**3 - 2*v. Determine n(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-42)*(12\/9)\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11064, 55, -624 in descending order.\nAnswer: 55, -624, -11064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30787 - 15133. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 17 = -2*p, -19*p + 21 = -30*p - 13*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = -2*w - 2*t, -3 = -5*w - t. Let d(v) be the second derivative of 0 + w*v**2 - 1\/6*v**3 - 2*v. Let x(j) = j. Give x(d(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 109224444 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -71, -133, -213, -311, -427?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = p, -o = 5*p - 6*p + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -1 - ((-65 - 0) + (-2288 - -2323)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -377208.\nAnswer: -377203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-67*s + 35*s - 18*s)*(-1 + 1 - 2*s**2) as d*s**2 + q + v*s**3 + m*s and give v.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i**5 + i + 6*i - 16*i**4 - 16*i**2 - 56*i**3 + 5*i**5 + 5*i = 0. Calculate i.\nAnswer: -1, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14020*j**2*q - 2*j**2 - 28*j*q + 5231664*q wrt j?\nAnswer: -28040*j*q - 4*j - 28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*x. Suppose x = w + 3 - 5. Solve -2*s - 8 - w*s**4 + 2*s**2 + 8 + 2*s**3 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.181 + -1.151. Let m = j - 0.03. Let s = 22 - 24. Sort s, 5, m in decreasing order.\nAnswer: 5, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39912*-95.\nAnswer: -3791640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-11)*h)**(-2) assuming h is positive.\nAnswer: h**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/((-1)\/(-4)). Let d(o) = -4*o**3 - 16*o + 1 - o**f + 16*o. Give d(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1046 = -f. Find the second derivative of -f - 29*b + 523 - 46*b**2 wrt b.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*433)\/(2 - 9). Let s = t - 62. Let m(h) = 2*h + 1. Let u be m(1). What is the smallest value in u, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2193039741.\nAnswer: 3, 5303, 137849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.17 + 0.03. Let a = -24 + k. Let r = 1.3 + a. What is the nearest to 2\/13 in -0.1, r, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k. Suppose k = -b + 3*b. Suppose -5*a = -b*a - 45. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 775469 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -d + 8 - 19, -4*z = -3*d - 29. Let p(t) = 5*t - 2. Let c(u) = 11*u - 5. Give d*p(f) + 3*c(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -h - 4*h + h**2 - 6*h**2 + 3*h in the form g*h + u*h**2 + z and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 (base 7) in base 9?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzyy when four letters picked without replacement from dymzmqzqddmzzmyqdmy?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-2\/15)\/u)*u*u**(-1\/8))\/(u**(1\/5)\/(u**(-4)*u)) assuming u is positive.\nAnswer: u**(97\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -198 + 206. Let k be (-4)\/(-2) + 42\/2. Let d = k - f. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257428 divided by 6?\nAnswer: 128714\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) + 70\/30. Differentiate -o**2 + 0*o**2 + 8*o**y - 1 with respect to o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 10*b - 34. Give c(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*k - 34*k = -1454799000. What is k rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -70. Which is the smallest value? (a) -3\/5 (b) -1 (c) -2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + 10)*24\/14. Let w(p) be the first derivative of 2*p**3\/3 - 2*p**2 - 7*p - 30. Let g be w(-3). Do g and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 2*y**2 + y. Let d be m(1). What is the remainder when 32 is divided by d + 0 - (-4 - 13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2979*h**3 - 2*h**4 - h + 2*h - 2983*h**3 - 3*h - h**2 to o*h**4 + u*h**2 + q*h + m + v*h**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1284018.\nAnswer: 2, 3, 214003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.4 + 35.3. Let v = -252 - -252. What is the fourth biggest value in -2\/5, u, -6\/7, v?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**3 - 5*l = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 + 7*r**3 - r**3 - 96.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.06764+-18\nAnswer: -17.93236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*sqrt(68)*-4*-4 + 5).\nAnswer: -576*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 605 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5 + 1524*i**4 - 182982*i**3 - 558120*i**2 - 561183*i - 187572 = 0.\nAnswer: -1, 203, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a + 105. Give b(-25).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w. Let y(z) = z**2 + z. Let f(t) = 6*t**2 + 2*t. Let c(v) = 4*f(v) - 8*y(v). What is b(c(m))?\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-1 + 2 + 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 + -32?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/317 and -17\/5.\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 6 = -5*f + 6, 0*f - 6*g - 13*g + 23*g = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8126 - (11 - 11)) + -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1372 - -1371. Sort n, -0.5, 570.\nAnswer: n, -0.5, 570","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m - 70 = 0. Let u = 17 + m. Find the third derivative of 4*v**u + 7 - 2 + 3*v**2 - 5 wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**3 + 2*o**2 + 2*o + 6. Let d(k) = -k**3 + k + 1. Let i(x) = -2*d(x) + y(x). Let l = -1 + 6. Suppose 5*q = -l + 20. Determine i(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 8*w**2 - 10*w + 8. Let r be z(9). Let n be r*(-3 + (-3 - -1)). Solve -n*d - 2 = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 20*t**2 - 19*t**2.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324*3.28.\nAnswer: 1062.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {c: 3, f: 11, x: 2, j: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -1 + 17. Let y(d) = 3*d**2 - d - 42. Let a be y(-6). What is the greatest common divisor of a and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -2, -12, -40, -92, -174?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-750)\/525)\/((-6)\/21). Solve 10 = -2*o - 2*p, -k*p = o + 10 + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*-1 - sqrt(80))*6)\/(sqrt(24)\/(sqrt(12)\/sqrt(2))))\/(sqrt(810)*2 - (sqrt(10) - sqrt(810)*-3)).\nAnswer: 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109 by -1230130.\nAnswer: 109\/1230130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + 311 + -301 - (-1 - -133).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 956781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 168 = 15*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/228*(-6)\/(-28) and 5\/456.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80784 + -41234. What are the prime factors of s?\nAnswer: 2, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*v - 26 = 0, 2*s + 4*v - 8*v - 28 = 0. Suppose -2*w = -4*w + s. Find the second derivative of 2*t**3 - w*t**3 + 3*t + 0*t**3 wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/47115 and 143\/180?\nAnswer: 188460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -2 - (85 - 94).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 5*d**3 + 33*d**2 - 73 - 96*d + 91*d - 5*d**4 + 18*d**2 + 54*d**2 = 0. Calculate d.\nAnswer: -4, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/205550 and 54\/472765.\nAnswer: 4727650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46, -241, -542, -943, -1438?\n\"Answer: z**3 - 59*z**2 - 25*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*q - 100, 5*t - 120 = 5*q - 0*q. Suppose -t*j + 15 = -23*j. Solve -j*g + 10 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*2*(-3)\/6. Let i(u) = -4*u - 2*u**2 - 2 + 2*u**2 + u**b. Is i(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 1 - 1)*5. Suppose 7*f = d*f - 900. Let u be (15\/(f\/16))\/(0 + 1). Which is greater: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*d*g**2*o - 3213*d*o - 168*d - 2*g**2 - 2*o wrt o.\nAnswer: 4*d*g**2 - 3213*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138575 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1740.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*u**2 + 2*u**3 - 74*u**2 + u**2)*(-2 + 2 - 2*u) - u**4 + u**4 + 3*u**4.\nAnswer: -u**4 + 174*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y - 15*y - 39 = -30*y + 10*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 975 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1 + 2*p**2)*(-134 + 134 - 16*p)*(-2 + p**2 + 2).\nAnswer: -32*p**5 + 32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = 4*x + 3*q, 0 = -2*x - 2*q + 4*q - 180. Let a be (-4)\/18 + (-113330)\/x. Suppose 7*z - a = -5*m + 3*z, 1283 = 5*m - 2*z. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 5*s**3\/3 - 160*s**2 - 2485*s + 8363. Determine v so that g(v) = 0.\nAnswer: -7, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40301, -68609, -96913, -125213, -153509?\n\"Answer: 2*h**2 - 28314*h - 11989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11282000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - o)*(120*o**2 - 87*o**2 + 142*o**2 + (3 + 2*o - 3)*(4*o - o - o)) in the form h*o**3 + b + c*o + p*o**2 and give h.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(4*y + 0*y - 5*y)*(3 - 2 + 3).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 - -4824.74.\nAnswer: 4866.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27198*n + 34970*n - 17684*n.\nAnswer: 44484*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -2, -4, -54, -110 in increasing order.\nAnswer: -110, -54, -15, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2315*f**3 - f**2 + 230*f + 2400. Let y be o(-10). Round y to the nearest ten thousand.\nAnswer: 2320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 12*a - 2)*(-12 + 20 + 44)*(-7*a + 6*a - 25*a) to the form v*a + r + c*a**2 and give c.\nAnswer: 16224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 23, 210 in descending order.\nAnswer: 210, 23, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1102 - -1077. Let u be (15\/d)\/(6\/(-20)). Let 2\/15*r**4 - 2\/15*r**u - 4\/15*r**3 + 4\/15*r + 0 = 0. Calculate r.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 81*h - 515. Give r(-74).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(1340\/1608)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9\/8)*a)**(-4\/7)\/(a*a**(-19))**(3\/8) assuming a is positive.\nAnswer: a**(191\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 + 7*x - 11. Let a(c) = -9*c**2 - 15*c + 22. What is -6*a(j) - 13*g(j)?\nAnswer: 2*j**2 - j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15172468, 30344933, 45517398?\nAnswer: 60689863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 41.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267257 is divided by 3072.\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -164.\nAnswer: 17\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in 1\/3, 4, 7\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24.59+-0.5\nAnswer: 24.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-200)\/160 + ((-20)\/(-4) - 37\/60) and (37\/(-30))\/(1 + -2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*j + 17*j - 7*j.\nAnswer: 98*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 - 16*x + 29. Is s(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18009 and 2043?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -2 + 51*1. Suppose 0 = r + 3, -3*i = 2*i + 4*r + x. Let b be (-26)\/i - 6\/(-21). Solve 0 = b*t - 16, -4*o - 5*t + 20 = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 11*p = -156. Let g = p + -467\/6. Solve 0*i - g*i**4 + 0*i**2 - 1\/6*i**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -123. Let w = h + -37. Let s = w - 0. What is s rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + (3 - 0) + 0. What is the common denominator of h\/(-2) - (-28)\/22 and 3\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**2. Suppose l - 28 = 4*r, 5*l - r - 104 = r. Suppose 4*c + l = 9*c. Let u(m) = 5*m + 2*m - c*m + 0*m. What is u(y(s))?\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 8*x**2 - 6*x + 9. Suppose -5*w = 5*s + 16 + 44, 2*s = -10. Let z be a(w). Calculate the greatest common divisor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17289, 17288, 17287, 17286?\nAnswer: 17285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*x - 31 - 29, -l = -5*x + 60. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-62)\/20 - 12\/(-30). Let l = -33\/10 - n. What is the common denominator of -32\/7 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35643766133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3172\/976)\/(1\/((-12)\/9))\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2236 + 2236.2. Sort o, -344, -0.1.\nAnswer: -344, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122 - -3035?\nAnswer: 3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**2 - 170 + m + 171 + 0*m as p + f*m + i*m**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(84)*1 - (3*(sqrt(84)*2 - sqrt(84)) - sqrt(84))))\/((sqrt(588)*-2 - sqrt(588)) + sqrt(588) - sqrt(12) - -5*(sqrt(12)*3 - sqrt(12))).\nAnswer: 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*h*n**3*q**4 - 2*h*n**3*q**2 + h*n**2*q**2 - 279*n*q - 15*q**4 wrt q?\nAnswer: -816*h*n**3*q - 360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*8\/10*34\/(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45157*k**2 + k + 123542*k**2 + 2617*k**2 + 802*k**2.\nAnswer: 172118*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/10)\/(63\/140). Let g = -16 + 16. Let j = g + 0.2. Which is the second smallest value? (a) -2\/3 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-1)*(2 - 3). Let d(l) = 35 + 10*l + 4*l + 2*l**2 - 15*l + 0*l**2 - 3*l**2. Let k be d(5). Solve -2 = -k*g - u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 47 = -9*q. Let z(m) be the third derivative of 1\/10*m**5 - m**2 + 1\/315*m**q + 1\/36*m**6 + 0*m + 7\/36*m**4 + 0 + 2\/9*m**3. Factor z(s).\nAnswer: 2*(s + 1)**3*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, -2, 52, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.8 - -34.8. Let y = 14 - p. Let l = y + 15.1. Is l at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -7, 1\/7, -6\/7, -2\/19, 3.9, -1346, -3?\nAnswer: -1346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393264?\nAnswer: 2, 3, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8136*q**5 + 117*q**2 + q - 1 wrt q?\nAnswer: -488160*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -26. Let v = b + 13. Suppose -3*h - h + 4*n + 220 = v, -2*h = -4*n - 120. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - 44.8. Let y = t - -73. Let f = y - 29.5. What is f rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -42901, -85802, -128703, -171604, -214505, -257406?\n\"Answer: -42901*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2941148 and 1470574?\nAnswer: 2941148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 20. Calculate the remainder when 13 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.26019, 20, 0.5, -0.2 in ascending order.\nAnswer: -1.26019, -0.2, 0.5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5\/59, 0.4, 0.2, 24.9 in ascending order.\nAnswer: -1, 5\/59, 0.2, 0.4, 24.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367 + 6*q**2 - 367 - 23*q**2.\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*h - 56, h - 3*q + 70 = 6*h. Let b = -11 + h. Suppose 0*p + 63 = 3*p. Solve -4*w + p = b*t, -4*t - t - w + 18 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 20*i**4 - 16*i**3 - 8*i**2 + 8*i - 8. Let l(s) = -13*s**4 + 11*s**3 + 5*s**2 - 5*s + 5. Let p(n) = -8*l(n) - 5*v(n). Let p(a) = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44*w + 184.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1735 - 10765 = 35*v. Is (2 - 5)*v\/9 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 7*w**2 + 4*w - 28. Let s be b(-8). Factor 6 + 2\/3*o**2 - s*o.\nAnswer: 2*(o - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-5))\/((-4072)\/(-30) - 136) - -10\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:47 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2\/7, -3256, 3, 2.672 in decreasing order.\nAnswer: 3, 2.672, 2\/7, 1\/6, -3256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27)\/6)\/1)\/((-63)\/420*-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 302401308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 302121044?\nAnswer: 302121034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1230 or -35640\/29?\nAnswer: -35640\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -240132 - 1014?\nAnswer: -241150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3538*a**3*o**3 - 436*a**3*o - 978*a**2*o**3 + 6254*a*o**2 wrt o.\nAnswer: -21228*a**3 - 5868*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -250 - -324. Calculate the highest common factor of x and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -744\/5*p - 742\/5 - 2\/5*p**2.\nAnswer: -2*(p + 1)*(p + 371)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 51\/2*j**2 + 0 + 55\/6*j**3 - 23*j. Differentiate v(b) with respect to b.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*g + 31, 5*d + 7 = -g - 4. Which is the closest to 1? (a) -6\/11 (b) g (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2051866 - -60?\nAnswer: 2051926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4580, -9024, -13332, -17504, -21540, -25440, -29204?\n\"Answer: 68*a**2 - 4648*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 961569629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-36)*(u**(-1\/2))**10*((u\/(u*u**(-2))*u)\/(u**(-1\/3)\/u))**40 assuming u is positive.\nAnswer: u**(505\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -424*p - 21*p**4 - 4006*p - 453*p**5 - 4240*p**5 + 21*p**4 wrt p?\nAnswer: -93860*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*k = -49*k - 1099. Let l = 176 - k. What is the remainder when 32 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3 + 5*b + 7 - 4. Let s = 16 - 10. Let x(f) = 16*f. Let m(z) = s*x(z) - 20*h(z). Give m(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264 + 3*s - 238 - 5*s.\nAnswer: -2*s + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 157508.6ml in litres?\nAnswer: 157.5086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*o - 2*d, 8 = -3*o - 4*d - d. Let b = -0.1 - -3.1. Sort b, -2, o in decreasing order.\nAnswer: o, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*f - 25 = -125, 2*s = 5*f + 233. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 10:33 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*m**4 + 0*m**3 - 3392*m**2 + 3*m**3 + 3335*m**2 wrt m.\nAnswer: -144*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6416695 is divided by 401043.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + 41. Suppose -y + 2*w = -25, -6*w + 2*w - t = -4*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 102180*m + 204344.\nAnswer: 4*(m - 25543)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p**(-12))**(-38)*(p**(2\/5)*p)**28\/(p\/((p\/((p\/(p\/(p**1*p)))\/p)*p)\/p*p))**50 assuming p is positive.\nAnswer: p**(-1894\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v + 84. Let y be r(-17). What is the nearest to y in -2\/17, 1, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -34. Let y be (2\/(g\/2))\/(15\/(-690)). Suppose -5*t + y + 147 = 0. What is the greatest common factor of t and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 24. Suppose -4*u + 27 = d - 8, d = -2*u + v. What is the remainder when d is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Suppose 4*j = 4*q, p*j - 18 = -j - 5*q. Let o(n) = -2 + 3*n - 3*n + j*n + 3*n**2 - n. Let d(h) = -12*h**2 - 9*h + 9. Determine 2*d(a) + 9*o(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 - 8*d + 260 + 5*d - 14 - 103 + d.\nAnswer: -2*d + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 275 = 3*d. Let x = -30 - d. Calculate the highest common divisor of 240 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 - 175.99995. What is h rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 583*1233.\nAnswer: 718839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2072 = -66*q - 1016 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/42))\/a*a\/a**14)\/(a\/(a*a\/a**36)*a**(-14\/5)\/a) assuming a is positive.\nAnswer: a**(-9287\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 7*y - 5. Let p be k(6). Suppose 2*b = 3*b + p. Which is smaller: 1\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 339*d**5\/10 + d**4 + 23*d**3\/6 + 5*d**2 - 33*d. What is the second derivative of c(n) wrt n?\nAnswer: 4068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2. Let h(u) = 94*u**2. Let w(b) = 94*a(b) - h(b). Let j(k) = -k - 3. Let r(q) = -q - 4. Let i(x) = -4*j(x) + 3*r(x). Give i(w(d)).\nAnswer: -188*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 226766.46131?\nAnswer: -226764.46131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 7) to base 3.\nAnswer: -11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j\/(j*j\/(((((j*j**(-8)*j*j*j)\/j)\/j)\/j)\/j*j)*j)*j)\/j)))\/(j\/j**(-7\/3)))\/(j**(1\/15)*j*j\/(j*(j**(-3\/13)\/j)\/j*j*j*j*j)*j) assuming j is positive.\nAnswer: j**(-821\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(140\/16*2). Do -1 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.1, -249 in descending order.\nAnswer: -0.1, -0.5, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15917 take away -209474004.3?\nAnswer: 209458087.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -268\/23 + -668\/69. Let h = 673\/30 + l. Calculate the common denominator of 49\/11 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-11)*(222\/2775 - (-94)\/75)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1346460 divided by 89764.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/9 - 421291054*k\/9.\nAnswer: 2*k*(k - 210645527)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 3*b + 0*b + (-1 + 3 + 0)*(-3*b + b + b) + 4*b - 2*b - b + (-2 + 4 + 0)*(-4*b + b + b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 = 2*u - 8, 4*w = -5*u - 8. Suppose -4*i + i + 18 = u. Suppose 5*v + 10 = 0, -2*c = 2*c + 5*v + i. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {o: 4, w: 9}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 + 1 + 0 - 1.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 20*w**2 - 3*w**4 + 2*w**3 + 38*w**2 - 15*w**2 as g*w**4 + m + x*w + p*w**3 + s*w**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = -0*y. Suppose 2*s - y*b = -6, 4*b - 19 - 5 = -2*s. What is the second derivative of -s*d + 2*d**5 - 4*d**5 + 7*d**4 - 7*d**4 wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1495 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - -68 - (2 + (4 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/30)\/((-15)\/25)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1232413)\/(-135430)*5\/26?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 9*l + 44*l - 104 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -33*h + 11340. Solve -b - 416 = -h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -226690 (base 10) to base 9.\nAnswer: -374857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 75\/(-10 + 13) + -8. Solve -4*s = 0, -12*s + q*s = -5*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968327119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 999173.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48 - -115091?\nAnswer: 115119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -878*m**2. Let f(r) = -2*r**2. Give f(b(k)).\nAnswer: -1541768*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**4\/3 + 13*h**3\/6 - 856*h**2. What is z(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 624?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -29 + 5. Let o = 2.5 - 2.9. What is the closest to -1 in o, z, -2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*y + 10, -17 = -5*y - 43*k + 42*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -792*p**2 + 551. Let x(m) = 791*m**2 - 555. Let l(o) = 3*i(o) + 2*x(o). Differentiate l(n) with respect to n.\nAnswer: -1588*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, u: 2}. Give prob of sequence uzzz.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -465, 0.3, -2\/63, -18\/5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z**3 + 2. Let m(x) = 91*x**3 - 21. Let t = -228 - -249. Determine t*f(s) + 2*m(s).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*z - 119, 0 = 4*z - 4*k - 107 - 121. Suppose 4*d = 4*s - z, 2*s + 3*s + 4*d = 101. What is the highest common factor of s and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.02997\nAnswer: 0.008991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 1. Let n be g(3). Suppose 91*c + 64 = -27. Suppose 3*o + 4 = -5*p, -4*p + 4*o - 14 = -p. Sort n, p, c.\nAnswer: p, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33)\/(-11) - 0*(-2)\/2. Suppose -2*f = -4*b - 24, -3*b - 4 = 4*f + g. What is the units digit of 1\/b + 662*(-1)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -285290*m**5 - 7*m**4 - 5*m**3 - 836276116*m**2 wrt m.\nAnswer: -17117400*m**2 - 168*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 18. Let b be u(15). Suppose 2*c - c = -b*i + 197, -i + 3*c = -79. List the prime factors of i.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-70)\/550)\/(-7)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -53 and 7.69 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 21 = 5*j, 0 = -2*h + j + 4*j - 18. Let o(m) = m**3 + m. Let v be o(0). Let a = v - h. Which is smaller: a or 1\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*o*z**2 + 3*o*z - 112*z**2 - 1 wrt o.\nAnswer: -52*z**2 + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 4*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 107 + 43. Suppose 0 = -77*d + 34*d. Suppose d*j - 5*j = -z. Is 0 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -13 + 61 + 28*x + 27*x - 47*x. Is 4 a factor of c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*n + 8, -2*n = 3*n - 10. Suppose u = -3*p + 7 - 1. Suppose p*h = -v + 52 - 14, -v - 4 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -164\/57 less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185301 is divided by 147?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18814.\nAnswer: 2, 23, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -769 + 1784. List the prime factors of m.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/475 (b) 0.05 (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -59791600 to the nearest one hundred thousand.\nAnswer: -59800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 478*x**2 + 4876*x - 2038. What is p(-488)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*d - 3*d**2 + 8 - 338*d - 8.\nAnswer: -3*d**2 - 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -0.4 (c) -1\/5 (d) 538\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*n + 14654 - 14138 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - -4*(-2)\/8*-1. Suppose g*w - 1225 = w. Suppose -6*s + 5*i = -s - 525, w = 2*s + 5*i. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -7*m**8\/144 + m**6\/90 - 4*m**2. Find p such that y(p) = 0.\nAnswer: -2\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and 16231.6?\nAnswer: 16231.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -24. Let y = a + 65\/4. Let t = -3.3 - -0.3. What is the biggest value in t, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532, 892, 1252?\nAnswer: 1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + -4 - (sqrt(24)*3 - sqrt(24))\/sqrt(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -683 - -2477. List the prime factors of s.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*21*(-11)\/6930.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - o + 10 = k, 2*o = -5*k + 44. Suppose 7*m - 3*m - k = 0. What is the lowest common multiple of 11 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1. Let z(t) = -2*t + 1. What is -2*k(u) - z(u)?\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w. Suppose 3*v - 4*a = 8, 20 = v + 3*v + 4*a. Suppose -3*p + v*s - 2 = -10, 3*s + 6 = 3*p. Let o(d) = -d + 20*d + p*d. Calculate o(i(m)).\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2845 is divided by 569?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20960935, -41921880, -62882827, -83843776, -104804727, -125765680, -146726635?\n\"Answer: -h**2 - 20960942*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - t - 1. Let w(u) = 3*u**3 - 14*u**2 + 2. Let h(y) = -6*a(y) + w(y). What is the hundreds digit of h(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47112288?\nAnswer: 2, 3, 359, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 13*x**2 + 13*x + 8. Is m(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 231576 - -317?\nAnswer: 232115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 1, v: 4, o: 1, c: 2, z: 1}. Give prob of picking 1 y and 1 c.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.39 and -611.\nAnswer: 238.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -112 + -4?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(13) + sqrt(13)*-2)**2 + -4 - (-4 + (sqrt(117) + -2)**2).\nAnswer: -105 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -13. Find the second derivative of -5 - 6*w + 10*w - k*w**3 + 5 wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(3\/5))\/(-69*(-88)\/1012).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 0.1 (c) 0.4 (d) -26.8 (e) -24389\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - z + 1. Let x = 18 - 16. Let p(g) = g - 10. Let k(f) = -1. Let h(w) = 18*k(w) - 2*p(w). Calculate x*m(q) - h(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 60*m + 415. What is k(13)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-23)*f*f)\/(f*(f*f**(-10\/7))\/f)*f**22*f**(-3) assuming f is positive.\nAnswer: f**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144*-5.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j**2 + 8*j - 26. Let b(z) = 6*z**2 - 7*z + 25. Let y(s) = 4*b(s) + 3*l(s). Let n be y(8). Suppose 187*w = n*w + 1360. Does 49 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 590 and 1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.057 + 0.0593. Round c to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + 9 + -6 + -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2807, 6205, 9603, 13001, 16399?\nAnswer: 19797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/5 and 93\/1700.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k*k\/(k*((k*k\/k**(4\/13))\/k)\/k)))\/k*k*k**14\/k*k*k)**(-27) assuming k is positive.\nAnswer: k**(-5508\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -62593 less than 0.05?\nAnswer: 62593.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*v - 2*v + 3, 5*v = -4*y - 12. Suppose 4 = 3*n - b, v = 4*n + 5*b + 1. Let p = 5 - 4. What is the remainder when n is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/13 - (-196)\/(-91) - 1682290\/(-29).\nAnswer: 2, 3, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-8\/5))**(2\/121)\/(a**(-17\/5)*a\/((a**(11\/2)\/a)\/a)) assuming a is positive.\nAnswer: a**(7127\/1210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 567*x**2 + 10*x + 2. Does 10 divide z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1565.\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3 = -3*l, -28 = -5*v - 2*l - 5. Suppose 0*k - 4*k + 4 = 0. Let u = 0 + k. What is the remainder when v is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10 - 10 = 0, -5*f - q = -30. Find a such that 34\/11*a**2 - 14\/11*a**3 - 42\/11*a**4 + 8\/11 - 18\/11*a**f + 32\/11*a = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13178?\nAnswer: 2, 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -217 + 663*t + 439 - 222 as q + a*t and give a.\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkwywybww. What is prob of picking 1 k, 1 y, and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 184.2 from 0.124681.\nAnswer: -184.075319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.39837 - 5\nAnswer: -5.39837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-46 + 123 + 6).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/9296 and -107\/127820.\nAnswer: 511280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*j + 264492 = 260751 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 1\/4*j - 1\/16*j**4 - 3\/8*j**2 + 1\/4*j**3 + 4. Factor n(f).\nAnswer: -(f - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -695112699 + 2?\nAnswer: -695112697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, -1, -0.0832 in descending order.\nAnswer: -0.0832, -1, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, i: 6, p: 4}. Give prob of sequence fp.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-1638) - (-242)\/630?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 12*j - 6. Let u be l(8). Let q = u - -5. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 821 (base 10) to base 13\nAnswer: 4b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 73 = 79. Calculate the smallest common multiple of y and 1.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 4:43 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*g = 107809 - 502794, -w = -g - 79003. Round w to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191473175 divided by -1.\nAnswer: 191473175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and 0.16.\nAnswer: 0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -2, -5, -23046 in decreasing order.\nAnswer: 1, -2, -4, -5, -23046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.23 or 9\/310138?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -293*x - 221. Let j(l) = 298*l + 223. Let r(d) = 3*f(d) + 4*j(d). Is r(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 1, a: 1, w: 2, r: 2}. What is prob of picking 1 b and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 10 = 2*r, -4*u - 20 = -8*r + 4*r. Let s(t) = t**2 + 5*t + 11. Calculate the smallest common multiple of (2\/6)\/((-1)\/(-3)) and s(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9719*m**3 - 83*m**4 - 165*m**4 - 9715*m**3 + 5*m + 13*m**4 as g*m**3 + f*m**4 + p + s*m**2 + t*m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4)*-2)\/((-74)\/(-888))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n + 90. Let k be (-11)\/(-55) + (-62)\/10. Let f = 11 + k. Solve -2*j - 2 + 24 = f*u, -2*j - 4*u = -n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372622023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231121820.\nAnswer: 2, 5, 11556091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/7 + (-2)\/(-7). Suppose y - 3 = -2*p. Suppose 3 = 2*t + p. Solve t = 5*k + 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)\/sqrt(4) + sqrt(2) + 2*sqrt(8) + 1*sqrt(18)\/(sqrt(27)\/sqrt(3)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(30\/(-4)))\/(15\/150).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42679 and 244751?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 77*b**2 - 726*b. Let d be i(66). Solve 0 = 5*c + 3*f + 14 + 8, d = 2*c - 4*f + 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33609659 divided by 2.\nAnswer: 33609659\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(3) + (sqrt(96)\/sqrt(4))\/sqrt(8) + sqrt(3) - (sqrt(243) - sqrt(243)*-1).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.112751 rounded to 4 dps?\nAnswer: 0.1128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d*d*(d\/d**(-3\/4))\/d))\/(d*d**9))\/(((d**(-2)\/d)\/d*d*d)\/d)**(-2\/3))**(-3\/5) assuming d is positive.\nAnswer: d**(177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 0.2 (b) -1.4 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r - 23*r + 3*r)*(-r**4 - 2*r**4 + 6*r**4 + r**4 - r**4 - 2*r**4 + (r**3 - 2*r**3 + 0*r**3)*(0*r - 3*r + 2*r)).\nAnswer: -20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 7:57 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/p**6)\/p)\/(p\/p**3))\/(p\/(p**2*p*p))**(4\/3))**31)**(9\/10) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21498 and -1.55.\nAnswer: -33321.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -9053?\nAnswer: 3\/9053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 113\nAnswer: -11.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:58 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3321 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -6, -3 in decreasing order.\nAnswer: -3, -6, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -2 (c) 1\/9 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 391 + -361. Let j = d + -13. Solve 7*f - 3 + j = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from lvzvsvz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -5*f**4\/24 - 2*f**2 + 6. Let r(o) = -26*o. Determine r(w(l)).\nAnswer: 130*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.78 times -149.3?\nAnswer: -2057.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*a - 12*a - 8*a**3 + 2*a wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*d + 73, 6*d - 65 = -5*o + d. Suppose -k = -3*c + k + 29, c + 5 = -3*k. What is the lowest common multiple of o and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 4\/3, 4 in ascending order.\nAnswer: 0, 1, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 687, 1426, 2165, 2904, 3643?\nAnswer: 4382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c + 10*c + 21*c + 35*c.\nAnswer: 59*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24709?\nAnswer: 24709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-19)\/45 + (-32)\/(-144))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40731990 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*p**3 + 4316*p**2 - 784418*p?\nAnswer: 456*p + 8632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -9 + 59\/9*d**3 + 23\/12*d**4 + 19\/2*d**2 + 6*d + 1\/5*d**5. Factor y(b).\nAnswer: (b + 1)*(b + 3)**2*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105696 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 172*a - 29 - 18 - 25 + 23. What is the units digit of w(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71, 92, 85, 50, -13?\n\"Answer: -14*m**2 + 63*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/13 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9641.1 - -8861. Let f = 780 + r. Let n be 2\/76*6 + 0. Is f at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 231*h + 29*h**2 - 544*h**2 - 231*h to the form x + t*h**2 + f*h and give t.\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsqooosssb. What is prob of picking 2 o and 1 q?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/(-7) + 1 - -1 and -14\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -79*f + 1. Let o be h(-1). Let q = o + -30. Let r = 201\/4 - q. Which is the nearest to -0.2? (a) -3 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 243551196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -754863 (base 9) in base 12?\nAnswer: -198349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 6*h**2 - 31*h + 17. Calculate v(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/3)\/((-3)\/(7515\/(-10))). Let p be 2\/15 - (-3 + 17434\/(-15)). Let y = w + p. Calculate the common denominator of y and 43\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 4. Let s be a(-5). Let t(z) = -46*z**3 - 3*z**2 - 13*z - 6. Let p be t(-11). Let b be (p\/12)\/(s\/36). Round b to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 72 (b) 1 (c) 1\/2 (d) -1 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 + (-7 - (-4 - 0))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117311 is divided by 564?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -0.56691177\nAnswer: -4.56691177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3. Let q(o) = 2*o**3 + 2*o**2 - o - 2. Calculate b(c) - q(c).\nAnswer: -c**3 - 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6332156 - 720.6783156. Let y = 720 + j. Let g = y - -0.042. What is g rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 526?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 - 66*o**2 - 119*o + 45. Suppose 3*y - 5*y = -98. What is the remainder when y is divided by n(-20)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 52, 55, 62, 73?\n\"Answer: 2*d**2 - 3*d + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0 + 0*m**5 - 1\/210*m**7 + 49*m**2 + 0*m + 0*m**4 + 61\/3*m**3 + 19\/24*m**6. What is the derivative of c(l) wrt l?\nAnswer: -4*l**3 + 285*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-20)\/8)*7\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 447827, 1790868, 4029269, 7163030, 11192151, 16116632, 21936473?\nAnswer: 28651674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 34 + -4 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697 is divided by 116.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 5*l + 3*l)*(-4*l**4 - l**4 + 3*l**4) + (l**5 + 2*l**5 - l**5)*(5 - 4 - 3) - 2*l**3 + l**5 + 2*l**3.\nAnswer: -7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/l)**(-37))**(1\/3)*(l**(-2\/5)*l**(-2\/13))**(-2\/9) assuming l is positive.\nAnswer: l**(2429\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/(t\/(t\/((t**(1\/20)*t)\/t))))**33 assuming t is positive.\nAnswer: t**(-1353\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-7\/5))\/(z*z\/(z\/((z*z**(-2))\/z))*z*z))\/((z\/z**(-6))\/z**(4\/13)) assuming z is positive.\nAnswer: z**(-344\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -25*d**2 + 19*d - 7. Let f(c) = -17*c**2 + 13*c - 5. Determine -7*f(j) + 5*k(j).\nAnswer: -6*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 2 = -4*n. Which is bigger: 0.4 or n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -17*s**2 - 560*s + 36. What is the least common multiple of u(-33) and 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*a + 3*h, 0 = -a + 2*h - 11 + 3. Is 3 + 4 + a\/(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2592 = 4*c + 4*s - 6*s, -4*s = 3*c - 1966. Suppose 698 = 6*n + c. Let a(o) = o**3 - 9*o**2 + 7*o + 2. Determine a(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 1:58 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p. Let t(k) = k + 6. Let i be t(-8). Let g = 5 + i. Suppose g = -l + 4. What is y(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - h - 2*h + (-1 - 2 + 11)*(2*h - 2*h + 2*h).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 5616 + 549. Let b = 700 - h. Solve b = -8*x + 11*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 505230 (base 7) to base 8\nAnswer: 247555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3948\/12558*-23 - (0 - (7 - 0))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*a*h**4 + 323*a*h**2 - 3*a*h - 5*a - h**3 - h + 213 wrt h.\nAnswer: 216*a*h**2 + 646*a - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1763 = -7*z + 1177. What is the first derivative of 2*o + z*o**2 - 36 - 2*o - 457*o**2 wrt o?\nAnswer: -74*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 26. Suppose -35 = -5*q - 2*f, -q - 3*q + y = 2*f. Solve -q*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-864)\/5400*5\/(-8)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3240, -3195, -3150, -3105, -3060, -3015?\nAnswer: -2970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 2*c**2 - 6*c - 6. Suppose v - 21 = 5*v + 3*p, -p = -5*v - 12. Let t be m(v). Suppose t*u = 3*z - 1164, -3*z + 1182 = 2*u + u. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.215 and 116.\nAnswer: 117.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37975.32472 + 6945.02582. Let m = f - -31025. Let x = m + 5.3. Round x to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 58 = -26. Suppose -4*x = 3*j - 12, x + 2*x = 5*j - 20. Solve -3*h - 3*u = x, h + h = 5*u - b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 568*j + 29379. What is c(-216)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 1:03 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 15*h**2 - 15*h + 135. Let u be t(8). Calculate the highest common divisor of 39 and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(-69)*((-54)\/(-15))\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**4\/2 + 3*i**2 + 4*i + 3\/2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + -140. Does 12 divide ((-6 - u) + 6)\/((-1)\/(-91))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/16 of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2519.725 - -5.275. Let w = z - 2525.02191. What is w rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20831 - -20920. Solve -7*a + l = 96 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 297 - 305. Let z(v) = 2*v**2 + 2*v + 1. What is the units digit of z(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11162, -10934, -10704, -10472?\n\"Answer: p**2 + 225*p - 11388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 274*j - 1640. Calculate k(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 27*o**2. Let j(w) = -32*w. Let t(v) = 7*v. Let m(z) = -3*j(z) - 14*t(z). Calculate m(d(x)).\nAnswer: -54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 838009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13933?\nAnswer: 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53.524266 + -0.477634. Let w = 215 - 269. Let h = w - d. What is h rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 0 = 6*z. Solve 4 = -x - 2*n, 0 = -x + 4*n - 1 - z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3679*a + 2*a**3 + 3679*a.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50062 - 26336 = -3638*h for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1082 (base 12) to base 4\nAnswer: -130202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5457 is divided by 816\/24 - (-7)\/(21\/15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -19 - (2 + -1 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - 3*b**2 + 0*b**2)*(-b + b + 2*b**2) + (181 + 46*b**3 - 181)*(2 - 2 + 2*b).\nAnswer: 96*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1295 and -11\/175.\nAnswer: 6475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/20 - 2*a**2. Let u(b) be the second derivative of 0*b**2 - 1\/6*b**3 + b + 0. Calculate u(w(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 3, 21, 37, 51?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6054484 and 0.43.\nAnswer: -2603428.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*t - 36 = 0, 6 = -n + 9*t - 6*t. Calculate the highest common divisor of 478 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4, 34.5, -6158, 1\/5?\nAnswer: -6158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**4 + 2*q**3\/3 - q**2\/2 + 3*q - 19. Let y be m(-3). Let p = -63 + y. List the prime factors of p.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ghghgghghghhhggg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 578.6947km?\nAnswer: 578694700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 4:11 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 7*s**4 - 108*s**3 + 570*s**2 - 1100*s + 375 = 0.\nAnswer: 3\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 7:51 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45\/(-3) - (-354752)\/32.\nAnswer: 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 16, -2\/15, -0.2, 3\/77, 2\/7?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 8 = 3*h, -j = 11*h - 8*h + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-4) - (1 - 2). Let y(w) = 3*w - 14. Let k be y(6). Calculate the remainder when 14 is divided by q\/6*0 + k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 10*l**3 - 4*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71492391 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.49 - -1.79. Which is the closest to 3\/11? (a) 0.1 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 978951979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -5*v - 8. Let a(m) = -5*m**3 + 2*m**2 - 1. Let x(t) = 6*t**3 - 3*t**2 + 1. Let b(r) = v*x(r) + 3*a(r). Differentiate b(s) wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 2:33 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 405 = 375, 316*k - 319*k = 2*g - 27 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 43*o**3 - 15*o**2 - o + 6. List the prime factors of l(5).\nAnswer: 3, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 3*l**2 + l + 2. Let d be 0 - (-1)\/2 - 231\/66. Calculate a(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/16 (b) -4 (c) -6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2 = -9*l - 1, 59*u = 54*u - 517*l + 522*l - 45 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*h - 5728, -11*h - 2*y + 11450 = -7*h. Suppose 16*f - 6369 = h. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-225)\/30 - -6)*(-2)\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 387 and 5688909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -5)*1\/2. Suppose p = -3*y - 4*d - 4, 3*y = -d - 2*d. Solve -40*i + 36*i = -y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/9 + 34*a**2\/9 + a\/9 - 34\/9.\nAnswer: -(a - 34)*(a - 1)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -3 (c) -691 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 17*g = 0. Solve -s + 4*s - 6 = g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6 + 41171*u + 4*u**2 - 41169*u - 3*u**2. Suppose -26 + 6 = 4*y. What is the units digit of x(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 500\/160 - 1\/8. Factor 1\/3*w + 0 - 5\/6*w**4 - 7\/3*w**p - 7\/6*w**2.\nAnswer: -w*(w + 1)*(w + 2)*(5*w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076724 is divided by 538299?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t**3 + 0*t**2 + 19*t - 19*t + 2*t**2 in the form r*t**3 + z + p*t + y*t**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 8, 5*v + o = 4. Suppose 20 = -5*t, y + 3*t = -4*y + 3. Solve -y*p + 2*p - 3 = v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 16 + 0 = 0. Let j = 463 - 441. Calculate the remainder when j is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*f = -28*f + 1080. Let a = f - -267. Is a a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5 + 8*u**4 - 16*u**3 - 8*u**2 + 12*u = 0 for u.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/13 + 68*w**2\/13 - 600*w\/13 + 1584\/13 = 0. What is w?\nAnswer: 6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 949*k**4\/4 + k**2\/2 - 2061*k + 7268. What is the second derivative of c(a) wrt a?\nAnswer: 5694*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5503*s**2*t**3 - 5*s**2*t**2 - 66*s**2 wrt t.\nAnswer: -33018*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268 a factor of 799697168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 r, and 1 s when four letters picked without replacement from dhdvdvhszsrsv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l. Let o(k) = -k - 1. Let p(b) be the third derivative of -5*b**4\/12 - 4*b**3\/3 + 3*b**2. Let s(a) = 8*o(a) - p(a). Give t(s(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 29 + 25 = -2*f, 5*f = 24*x - 60*x - 340 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 200 = -209, 35 = -19*r + 2*a - a - 76 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**3\/5 + 28*x**2\/5 - 1312*x\/5 - 1088 = 0.\nAnswer: -20, -4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 5*w**2 - 7*w - 4. Let h be f(-6). Let l be 12 - 496\/48 - 15\/9. Let q be 1 - ((0 - 0) + -1). Solve l = 2*r + q*r - v - 6, -h*v = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367 is divided by 339?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 16*l**2 + 128*l + 16. Calculate the lowest common multiple of 238 and o(-8).\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 206 - 94 - 5*f + 8*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 - (-3 + 13 - -6 - 9) - (-77 + 62)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52096?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/19 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sze when three letters picked without replacement from eezesstwsswwwwswswt?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2672.1 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-31)\/i)*i\/(i**(-14)*i) assuming i is positive.\nAnswer: i**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 1300.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*d**5 + 300*d**4 + 880*d**3 + 1120*d**2 + 480*d - 64.\nAnswer: 2*(d + 2)**4*(19*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 12*s**2 + 10*s + 15. Determine h(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 9*d**3 - d**2 - 1 - 2*d + 6*d**4 + 0*d**4 - 3*d**4 as s*d**4 + n*d**2 + y*d + g*d**3 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0*p**6 - 2*p + 0*p**2 - 1\/42*p**7 + 0*p**5 + 1\/12*p**4 + 0*p**3 + 0. Find the third derivative of y(m) wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3068 in 0.2, -5, -3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 8*s + 28, 2*a = -s + 219 - 218 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342.8252 tonnes to nanograms.\nAnswer: 342825200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v + 50. Let h be y(-12). Suppose -3*f - 20 = 2*a, -f + 4*a + 4 = h*a. Put 4, f, -13, -3 in increasing order.\nAnswer: -13, f, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 + (98\/7 - 24)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 28*l - 15. Let c be z(1). Suppose 16*x - c*x - 12 = 0. Solve -4*d - 5 = -5*v, x*v - v - 30 = -3*d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 157*y**2 - 8*y + 3. Let i(x) = 157*x**2 - 10*x + 4. Determine 4*i(j) - 5*k(j).\nAnswer: -157*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3449 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**5 - 303*w**4 - 39507*w**3 - 15228082*w**2?\nAnswer: 120*w**2 - 7272*w - 237042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, b: 2, k: 2, w: 1}. What is prob of sequence wku?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 61\/2, 2\/5, -5\/4, 4\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1265 divided by 67.\nAnswer: -1265\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:15 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from oooooomom?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*h + 3. Calculate the remainder when (0 - h)\/(-4) - -56 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - f - 84 = -28, -4*y - 4*f = -192. Calculate the smallest common multiple of y and 6.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19418 - 19415. Solve -1 = -a - 3*f, -9*a + 14*a - 5 = n*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*657.75.\nAnswer: -197.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73492 > 73491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*r**2 + 331*r**2 + 13*r**2 to t*r + b + g*r**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -23*h - 10. Let k(p) = 8*p + 3. Give -2*a(z) - 5*k(z).\nAnswer: 6*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 159*a**3 - 1.\nAnswer: 159*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4301493 divided by 204833?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -18 + 18 + 14*b. Let n(q) = 4*q. Let g(h) = -9*h. Let a(k) = -2*g(k) - 5*n(k). Determine a(l(c)).\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*c + 22, 0 + 3 = -3*c. Let k = 30 - 28. Suppose 10*o - k = 8*o. What is the highest common factor of o and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 1, a: 2, l: 4, g: 1}. Give prob of sequence lq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 11:00 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (38 - 108) + 6?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01501 or -2403?\nAnswer: -0.01501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26980 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: Let k(v) = 0 + 1 - 1 + 185*v**2. Let r be k(-1). Suppose 0 = 4*z + z - r. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005939744 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.5 in 4\/11, -4\/5, -0.3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**3\/4 + 60*w**2 + 2985*w\/4 + 1375\/2 = 0.\nAnswer: -25, -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.37 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4472*q**3 + 3393*q wrt q.\nAnswer: 26832*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j. Let u = -148 - -176. Let n(f) be the first derivative of -1 - 7*f**3 + u + 8*f**3. Determine n(m(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 + 0*o**2 + 54836 - 54836 - 6*o**2. Let u(s) = 16*s**2 + 8. What is u(c(y))?\nAnswer: 64*y**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2390?\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 9*z\/4 - 5\/2.\nAnswer: (z - 10)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3\/15 + 30452*x**2\/3 + 152254*x\/15 - 304516\/15 = 0?\nAnswer: -76129, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9916)\/(-555) + (-4)\/(-30). Suppose y*z - 29*z = -2794. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 10648.293\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02293 plus 24?\nAnswer: 24.02293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 5*i**2 - 2*i**2)*(-336 + 336 + 179*i**2).\nAnswer: 179*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284 divided by -1.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.2. Let u = -0.4 - -0.6. Which is the closest to o? (a) u (b) -0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-6 + 2 + 1). Solve 0*d + 5*d = -m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/(-3))\/((-21)\/42))\/(-4)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 3:30 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c + 3*y = -395, 3*y = c - 110. Let b = c - 54. Suppose -5*u - 5*i + 170 = 0, -b = -3*u - 5*i + 57. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183598*t**2*u**2 + 7*u**2 - 2147*u + 1 with respect to t.\nAnswer: 367196*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 267.66162s?\nAnswer: 0.07435045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) 3 (c) 7 (d) 21860 (e) -7\/6 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -796*y = 1516 + 34458 + 1438 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*z**4 - 196*z?\nAnswer: 2964*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -24. Suppose 0 = -0*q + q - h, c - 30 = -5*q. Suppose 2*s - 19 = -5*j, c*j = 5*s + 6 - 1. Solve -5*w = -j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11088 + 14668 = 137*l. Let r(x) = -x**3 - 25*x**2 - x + 22. Let p be r(-25). Calculate the greatest common factor of l and p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 22212120?\nAnswer: 22212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 4*t**5\/5 - t**4\/12 - t**3\/6 + t**2\/2 - 2*t. Is 8 a factor of p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-76)\/8)*-2 + (-806869)\/(-42413)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -271*f**2 + 9. Let r(o) be the third derivative of -o**4\/24 - 217*o**2 + 11*o - 2. Calculate r(h(b)).\nAnswer: 271*b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -22*a**5 - 4*a**3 + 11*a**2 - 4*a. Let f(g) = -23*g**5 - 5*g**3 + 11*g**2 - 5*g. Let u(y) = 5*b(y) - 4*f(y). Find the third derivative of u(h) wrt h.\nAnswer: -1080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 + -148. Let p = d + 60. Suppose -p*y + 30 = -87. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 2, 13, 1.\nAnswer: -1, 0, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012997492 to 5 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 331 = 401 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 + 5*x**2 + 7*x**3 + 11*x - 8*x**3 + 15. Let r be d(12). Differentiate -4 - 5*h**3 + 9 + 3*h**r wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-340) + (2*3\/(-408))\/((-1170)\/(-13032))?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 g, and 1 f when three letters picked without replacement from {w: 2, s: 2, h: 1, r: 1, g: 6, f: 6}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and (-1*2)\/(14\/(-63)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851 is divided by 837?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 2:13 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27891 is divided by 165.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2\/9, 0.45?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 8 - (1 - 12) - -24\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -9. Let q = f - -7.1. Which is the nearest to q? (a) -3 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80185 (base 9) to base 2.\nAnswer: -1100110110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9*p**2 + 18*p + 20. Suppose 156 = -4*r + 16. Is z(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 4899*v**2 + 223482*v + 228384.\nAnswer: 3*(v - 1586)*(v - 48)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1016880 to the nearest ten thousand.\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3 + (-32)\/(-10)). Let k be 2*1 - 7800020\/a. What is k rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251124345 - 2?\nAnswer: 251124343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*b = -347*b + 757*b - 1380 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*w + 1. Is (15\/(-6))\/(w\/(-2)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -14)*1 - 2. Suppose p = -4*j + 317. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 6. Let i be (-2)\/(-8)*-2*k. Solve -3*l + 1 - 16 = i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 - -3 - (-1 - 1) - -6 - (33 + -24)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8695 - 304351\/35. What is the common denominator of u and 19\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2025827\nAnswer: -2025824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 - 98. Let t(j) = 34*j. Let x(w) = 4*w. Let d(r) = -4*t(r) + 36*x(r). Determine d(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 83.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -62.58396\nAnswer: -1001.34336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2*o*s - 39*g**2*o + 2*g**2*s - 162*g**2 wrt o?\nAnswer: g**2*s - 39*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -z + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*1*14\/(-35). Let p(h) = 2*h + 4. Let x(u) = -40*u - 3. Let j(v) = 17*v + 1. Let n(m) = 7*j(m) + 3*x(m). Give k*p(w) - 5*n(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5838935 or 1?\nAnswer: 2\/5838935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + -3)*(-12)\/30. Factor -1\/5*z**3 + 0*z + 0 + 1\/5*z**p.\nAnswer: -z**2*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1412882 (b) -3\/5 (c) 2.8 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 668203.9 grams?\nAnswer: 0.6682039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58691, -58717, -58795, -58949, -59203?\nAnswer: -59581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3134796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1241334 - 2?\nAnswer: -1241341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*d - 6*d. Suppose 5*g - 4 = d*g. Factor -3\/5*h**g + 2\/5*h**4 - 1\/5*h**3 + 1\/5*h + 1\/5.\nAnswer: (h - 1)**2*(h + 1)*(2*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*y - 17, 4*s = 8*s - 4*y - 16. Suppose 4*p + s*h = 76, 5*h + 5 = -5*p + 105. Calculate the remainder when 45 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 11*v + 3*z = -2, -4*v + 8 = -z. Find the third derivative of 45*l**3 + l - 11*l**3 + 17*l**2 - l**2 + 8*l**v wrt l.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88074*a - 88079*a - 87822*a - 2*a**2 - 88077*a + 352052*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 103 = 6*z + 3*h, 3*h = -2*z + 43. Suppose 12*w - z = 7*w. Suppose -w*x = -9 - 91. Calculate the highest common factor of x and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2015 + 2013.197. Let a = 0.197 - y. Which is greater: -19 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/6)\/(2\/16). Find the first derivative of -2 + 5 + 5*n - 9*n + v wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/2769, -0.2, 1\/2, -4490 in decreasing order.\nAnswer: 1\/2, -2\/2769, -0.2, -4490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j - 45*j = -2*f + 42, f = 6 - 10 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1068370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4032636 (base 8) to base 7\nAnswer: -12013043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-212)\/(-2) - 0)*(-72)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 4*w + 5. Suppose 5*l - 3*s + 8 = 0, -3*l - 2*s = -5*l. Give c(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -203212?\nAnswer: 203222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -4*z + 2 + 11 + 23 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iizjzjiejj. Give prob of picking 1 e and 1 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -625*j**6 - 238*j**4 - 2*j**3 + 2662*j**2 - 70*j.\nAnswer: -75000*j**3 - 5712*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 67?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 51, 46, 39, 30, 19?\n\"Answer: -q**2 - 2*q + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*s + 80*s - 4*x + 3*x = -49, 3*x - 55 = 8*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -298, -4, 0.1, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 18*x)*(-x + 3*x - x)*(9*x**2 + 0*x - x - 6*x**2).\nAnswer: -54*x**4 + 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25962313.\nAnswer: 13, 1997101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 30, 31, 32?\n\"Answer: i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 202?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37\/420 - -11\/140. Which is the closest to 0? (a) -0.1 (b) q (c) 3\/130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/(15\/10). What is the biggest value in -3\/2, s, -0.03?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -8*k + 30. Suppose -3*q + 15 = k. Suppose -w + 2*x + 407 = 0, q = -3*w + 3*x + 1385 - 158. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -4, 1.04, -0.037, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -219*p**2 - 11*p - 13. Let s(c) = 109*c**2 + 6*c + 7. Calculate 11*s(n) + 6*y(n).\nAnswer: -115*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 16 = 21. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005552 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 8812 + 8804 = -2*j, 0 = -c - j + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -21*d**3 - 39*d**2 + 36*d + 20. Let u(m) = -20*m**3 - 40*m**2 + 35*m + 20. Let k(o) = -5*q(o) + 4*u(o). Factor k(c).\nAnswer: 5*(c - 1)*(c + 2)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 - 4*t**4 + t**4 + (2*t**4 - 3*t**4 - 2*t**4)*(4 + 1 - 2) - t**4 - 3*t**2 + 3*t**2 - 6*t**3 + 6*t**3 + 2*t**4.\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - w - 5. Suppose -u - u = 0. Let s be i(u). List the prime factors of (0 + s)*6\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + (-6 - -14 - 1) + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018514879 take away 8?\nAnswer: -8.0018514879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -149 + 3a?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/286)\/((-7)\/91)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 + -83. Which is the closest to -2\/5? (a) 0 (b) 8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -3*m**2\/2 + 29*m + 16. Let a(w) = w - 10. What is 17*a(z) + 6*u(z)?\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298042 + 818*o**2 + 298042.\nAnswer: 818*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + t**2 - 25*t - 8. Let l be w(0). Which is the closest to 6? (a) l (b) -0.1 (c) 0.2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 524 = c, n + 0*n - 514 = -c. Suppose -4*y + 0*y + 1748 = 5*h, -4*h - 5*y = -1393. Let a = n - h. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4634673721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11486 times -1374\nAnswer: -15781764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110833 and 7689545.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 - 114*k\/5 + 117\/5.\nAnswer: -3*(k - 1)*(k + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202189520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 14. Solve r*q = 4*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-140))\/(21\/(4704\/32))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 31*h**2 - h. Determine m(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 y when four letters picked without replacement from vvvbwopvvvypvywwy?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2 - 54*r - 216 = 0.\nAnswer: -12, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 77 = -z, 4 = -4*v + 5*v. What are the prime factors of z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((200\/52)\/(-5))\/((-4)\/(-1))).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**4 + 3*a**2 + 11184*a - 2*a**4 + 2 - 11185*a to the form s*a + p*a**4 + l + b*a**3 + w*a**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**(-2\/3)*o)*o)**8*(o\/o**4)\/(((o**(-2\/9)*o*o)\/o)\/o) assuming o is positive.\nAnswer: o**(95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*q + 3 = 0, 3*q - q + 10 = 0. Which is the closest to -1\/3? (a) u (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 347\/(-1735)*10\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 70.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:51 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*m - 2202 + 858 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 121 + (-2 - (-5 - -2)). Suppose -4*p - 292 = -5*q, 2*q = -0*p - p + i. Is q a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2098 = -268. What are the prime factors of d?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*4\/(-1)*18\/(-36). Calculate the remainder when 71 is divided by 20\/8*((-144)\/(-15) - g).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 5\/24*d**4 + 0 + 49*d + 0*d**3 + 1\/6*d**5 + d**2. Suppose i(u) = 0. What is u?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*i - 201 = 3*c, -3*c + 3*i = 135. Suppose 3*d - 5*x = 41, 4*x + 33 = 5*d - 31. Let y = d - c. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 77?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12882 and 75936?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 50 = -2*o. Let p(t) be the first derivative of -4 + 0*t + 2*t**o - 5\/2*t**2. What is the second derivative of p(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 872*h - 887*h + 97890. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2009, 1 in increasing order.\nAnswer: -2009, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 0.6, -0.9, -4, -0.14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -58887*f + 235550. Determine u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1472 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/121 and -13\/13772.\nAnswer: 151492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -440*l + 416*l + 9552. What is the remainder when l is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -6\/37 (c) -61 (d) 1 (e) -3.2 (f) -12 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (336\/(-7))\/(8\/(-252)) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 44 = 3*n - 4*s, 5*n - 88 = 3*s. Is 5 a factor of 53\/5 - 12\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*2 + (-15156972)\/(-3). Suppose 5*c + 21900000 = -3*m, -31447678 - w = 5*m + 2*c. Round m to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**7\/4200 + x**6\/225 + 7*x**5\/200 + 3*x**4\/20 + 9*x**3 + 5. Let b(y) be the third derivative of u(y). Solve b(c) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 29*r**2 + 98*r - 525. Give k(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**4 + 2 - 3*i**4 - 3*i**3 - 5*i**4 + i**2 + 3*i**4 as u*i**3 + a + g*i**2 + y*i + s*i**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -70, -732, -2568, -6166, -12114, -21000?\n\"Answer: -98*p**3 + p**2 + 21*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -96*p**2. Let k(n) = -4204 + 4204 + n. What is o(k(v))?\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498171486 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 7 - 8) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(438\/4)\/3. Suppose h = 4*u + 9. Calculate the remainder when 30 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**5 - 1526587*m**4 + 8*m**3 + 511344637*m.\nAnswer: 40*m**3 - 18319044*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let f be (0 - 0)\/(4*(-7)\/28). Let l(q) be the third derivative of 0*q + f*q**3 - 22*q**2 + 0*q**4 - 2\/5*q**5 + 0. What is l(y(n))?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/4)\/((-3498)\/(-23320)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = -20. Suppose -s + 5*f = 27, 3*f - 117 = -s + 4*s. Let i be (b\/s)\/(6\/8). Sort 5, 5\/4, i.\nAnswer: i, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**2 - 6*j**2 + 9*j**4 + 2*j - 3*j + 2*j**3 + 1 to the form l*j**4 + h*j + v + d*j**2 + q*j**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-320)\/(-2*1)*-1. Let h = f - -275. Suppose 2*l = 5*a + l - 155, 4*a - h = -l. Solve j + 4*j = -5*m + a, 2*m = 5*j - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345056 divided by -86264\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**4 - 492*l**3*p - 7*l**2*p - 29*p wrt l.\nAnswer: 48*l - 2952*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2 + 0*m + 0 + 3*m + 0. What is the remainder when 11 is divided by q(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 93787812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01390734 to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31107147?\nAnswer: 3, 107, 96907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (467 - 2692 + 96 + 716 - 3435)*(2*b**3 - 2*b**3 + 3*b**3).\nAnswer: -14544*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1096*p**2*r + 1812*p**2 + p*r**4 wrt r?\nAnswer: -1096*p**2 + 4*p*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5052965 less than -4?\nAnswer: -5052969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -414 + 773. Suppose 3*m = 2*m - n. Let k = 570 + m. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/((-78)\/117).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-117)*((-3780)\/100)\/(-9).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81362 = 2*v - 4*m, 2*m - 22592 = -v + 18113. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 3*o = 9, 0 = -3*q + 2*o + 12 - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01076971767 rounded to 7 decimal places?\nAnswer: 0.0107697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 22, -0.066, -4 in decreasing order.\nAnswer: 22, -0.066, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 - (-66)\/18. Suppose -4*r - 3 + 7 = 4*p, 15 = d*r - p. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*-4*(-4)\/(-52)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196.0997996 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7785247 centuries in millennia?\nAnswer: 0.07785247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/(35\/(-875)*10*(-10)\/(-658)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Suppose -4*j + 4 = k + 1, -l*j = -2*k + 6. Let p(u) = -u**2 - u + 1. Let g be p(j). Which is the second biggest value? (a) -1\/4 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let c(u) be the second derivative of 1019*u**4\/6 + 903*u. What is c(f(h))?\nAnswer: 2038*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.858 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + -4*21)\/(1*-1). Suppose -74*l + k*l = 52. Let z(r) = -4*r - 2. Let b be z(-7). Calculate the greatest common factor of b and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 - 2*y. Let v(o) be the third derivative of -o**4\/12 - o**2 - 2. What is v(b(h))?\nAnswer: 6*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 391774384 divided by 117368.\nAnswer: 3338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5505 + 0.0705. Which is the third smallest value? (a) -2\/5 (b) l (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 1116?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - r**2 + r + 1. Let g be b(-1). Suppose g = -2*j - 10. Let i be (3 + 36\/(-10))*j. Solve -i*l = -s + l - 11, 4*l - 8 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -243473 smaller than -243475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24887\/221 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 10*r**2 + 6*r + 4. Let v be j(6). Suppose -27 + v = -5*u. Let i = -10 - u. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -2 + 4*q**3 - 3\/4*q**4 + 3\/2*q**2 + 0*q - 12\/5*q**5. Find a, given that s(a) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 18*u - 127. Let b be l(37). Suppose -2*a + 4*p + b = -185, 4*a - 2*p = 1442. Is 72 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 67. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) -35 (b) -5 (c) -0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/41, 67.8, -5, -2\/9, 4\/3, -1\/2?\nAnswer: 67.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**9\/7560 + s**5\/60 - s**4\/4 + s. Let k(a) be the third derivative of g(a). Find the first derivative of k(q) wrt q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326842401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -23) + -31 - -30\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 54290448?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806791629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24352?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*j - 5*s - 10, -54 = 2*j + 14*s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -39 + 40 - (2 + -1 - 2). What is m in 15*m**2 - 4*m**c + 16*m + 8*m**2 + 4 + 6*m**3 = 0?\nAnswer: -2, -2\/3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -83, -108, -113, -92, -39?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-15) + (-16)\/24. Let t = 816.9 + -817. What is the smallest value in t, w, 1, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 6:12 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4116\/(-378) - 6\/54\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12220 divided by -4\nAnswer: 3055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -12. Suppose -4*q + p = 39. Let s be (-23)\/(-5) + q\/(-10) + -3. Solve 0 = -s*v - 0*v + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 2}. What is prob of sequence att?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.345 + 0.3. What is r rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*i, -8*i + 7*i - 101 = 2*r + i - 19 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65423833*j**2 + 108738745*j?\nAnswer: -130847666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1065812 and 103\/88.\nAnswer: 2131624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/5)\/k*k)\/k*k)**(-42) assuming k is positive.\nAnswer: k**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 20. Let a be o(-8). Let f = a - -1. Which is smaller: 27\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31a90 - -8b1?\nAnswer: -311ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 171 + 46 + 38 - 7*d**3 + 37.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20745818059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11 - 138*r + 487*r - 140*r - 82*r wrt r?\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m + 20 = 60*m + 4*x, -5 = 4*m - x. Suppose -3\/8*w**4 + 0*w + 3\/8*w**3 + m + 3\/4*w**2 = 0. What is w?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4250, 4251, 4252, 4253, 4254?\n\"Answer: t + 4249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 17 + -15 + (-9 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 30*y**2 - 5*y - 7. Let n be b(3). Let z = n - 256. Let t(h) be the third derivative of -h**4\/24 - 3*h**3\/2 - h**2. Calculate t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**2 + 244697830*d + 2993851400335445 = 0.\nAnswer: -24469783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 23*u - 44. Let l = 17 - 5. Suppose 3*y = -u*z - 3 + l, 0 = 4*y - z - 17. Solve y*h - h + 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6 + 2. Suppose 0 = -4*x + 8, -1 + c = -5*t - x. Let j be (-3*(-4)\/30)\/2. Is j at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41, 44, 47, 50, 53?\n\"Answer: 3*a + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w. Let k = 1 + 4. Let g(h) be the first derivative of -3*h**2 + 13. Let m(u) = k*y(u) - 4*g(u). Determine m(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4210958671 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u + 2*x + 202, -5*u + 541 = 4*x. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/13 - 1922*l\/13 + 3852\/13.\nAnswer: -2*(l - 2)*(l + 963)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 6. Let z be 2*(4 - 3)*1. Suppose 0 = -z*b + b + 2. Suppose b*p = 6*p - 20. What is s(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) -5 (c) 0.3 (d) -2 (e) -8708\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 10*g + 15. What is n(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q + 31. Let y(v) = 199660*v. Give d(y(s)).\nAnswer: 1397620*s + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -773*o + 767*o - 11 + 4 in the form n + s*o and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 0*s + 0*s**5 + 2\/3*s**3 + 2\/3*s**6 + 0*s**4 + 1 + 0*s**2. Find the third derivative of c(l) wrt l.\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30444031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.83737792 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6249, -10557, -14877, -19209, -23553, -27909, -32277?\nAnswer: -36657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-7)\/((-7)\/3))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42186 is divided by 2359.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-4)\/(-2) + -2). Let o(x) = -x**2 - 2*x + 15. Let s(y) = 4*y**2 + 7*y - 46. Let w(z) = 7*o(z) + 2*s(z). Is w(l) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 - -223. Suppose -v = -16*q + 20*q. Let x(o) = -o**3 - 15*o**2 + o + 11. Give x(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1531304 (base 6) to base 12.\nAnswer: -43b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - s + 1 = 0, 75*h - 72*h + 3*s = 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*u + 16, 6*m - m + 5*u + 40 = 0. Let d be 1 + 20\/15*6\/4. Suppose -3*p = -d*c - 0*c + 36, 5*c = 3*p + 54. Put m, c, 2 in decreasing order.\nAnswer: c, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 4. Let n be g(-3). Let a = n + 1. Let i be (-7)\/(224\/(-88)) - (-2)\/8. Calculate the highest common divisor of i and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-21))\/(1\/(-9)) - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (0 - -1)) + (-1355 - -1382).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*x + 318 + 379 - 1065 + 366.\nAnswer: -128*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 8:55 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1) + 2\/1. Let d be 0\/((h + -5)\/2). Solve c + 5*m + 15 = d, -3*c + 12 = -4*c - 4*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 210563.\nAnswer: -2\/210563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**11*v*v)\/(v**(-23)\/v)*(v\/v**(-2\/9))\/v*v**(-21) assuming v is positive.\nAnswer: v**(155\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 13*u - 41. Let k be l(4). Let t(w) = w**2 + 9*w + 10. Let f be t(-2). Does 33 divide ((-3)\/f*k)\/((-3)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (0 + -7 - (0 + 14 - 23)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.319 rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.72 + -0.7. Let x = c + 0.38. Round x to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.24 (b) -1\/33 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 18. Let i(r) = -2*r - 37. Let x(w) = 4*i(w) - 9*p(w). Let o be x(-9). Solve -k = -o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u - 4. Suppose -71*y = -86*y - 1020. Let d = y - -128. Calculate the lowest common multiple of c(-4) and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17869*l**5 - 69901*l + 1?\nAnswer: 357380*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1345*c = 1344*c - 7 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 7*j**2 + 2*j + 7. What are the prime factors of k(-5)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1012 - 904. Find i such that -177*i**2 + 0 - 305*i - 123*i**4 - 60 - 268*i**2 - 215*i**3 + p*i**4 = 0.\nAnswer: -12, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**3\/17 + 518*q**2\/17 - 10220*q\/17 - 49296\/17 = 0.\nAnswer: -4, 26, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -715, -0.2, 99, -1\/7, 5, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11332a1 + -1?\nAnswer: 11332a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 0. Suppose 16 = 2*g + b. Suppose -3*j + 2*j = -k, -3*j - 2*k + g = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 4.94. Let y = 399 + -108. Suppose c + y - 296 = 0. Sort c, -3\/7, l in increasing order.\nAnswer: -3\/7, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.00433 - 2.00433. Which is the nearest to -1? (a) -2\/15 (b) -5 (c) 1\/5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295 + 17276742807.\nAnswer: 17276743102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyp when three letters picked without replacement from {f: 3, l: 5, p: 4, y: 1}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -1. Let s = 37 + x. Calculate the least common multiple of 18 and 24 - s - (4 - (-5 + 8)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4 - 176*g**3 + 529*g.\nAnswer: -24*g**2 - 1056*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -3. Let v(s) = s**2 + 2*s + 3. Let a be v(-2). Suppose -x - 4*x + 3 = 3*r, -a*r = 3*x - 3. Put -5, u, x in descending order.\nAnswer: u, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j**(23\/2)*j*j)*j**(-7) assuming j is positive.\nAnswer: j**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.516386855 to 1 dp.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/6))**29 assuming v is positive.\nAnswer: v**(203\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 24 + 1 = -3*s, 0 = t - 4*s + 5. Suppose t*a - 2*a = 4*a. Solve a*l + 4*l + 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/((-2 - -1) + 0). Suppose -5*z + 95 = -2*y, -4*z - 27*y + 76 = -23*y. Suppose -14*p - h = -z*p. Solve p = 2*a - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 23. Let d be k(23). Solve d = -x - 3*x - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 + 24*g. Determine y(9).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**3 + q. Let k = -2 + -2. Let o be b(k). Suppose -o = -10*y + 8*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154256 and 6696?\nAnswer: 4164912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 21*s + 8. Let d be g(-21). Let r be (-7556)\/(-16) + (0 - 2\/d). Let w(c) = 472 - 6*c - r. Let l(h) = -3*h. Calculate w(l(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.3 - -16.9. Put k, -4, -0.2, 4 in descending order.\nAnswer: 4, -0.2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1092 + 1088. Sort 3, -5, f, 2 in decreasing order.\nAnswer: 3, 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Suppose 2*d - a = -0*d. What is the lowest common multiple of 18\/(-8)*20\/(-15) and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 2*f**2 + 31*f + 262. Determine c(-7).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 44 = -0*f. Let m(o) = 3*o + 1. Let n be m(1). Suppose 0 = 2*p + y - 5*y, 2*y = n*p - 18. Calculate the remainder when f is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 10:35 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/(-4))\/((18\/44)\/((-114)\/1672*-8))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313 - 9*b**3 - 313.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m**2 + 36*m. Let q(c) = -2899*c. Determine y(q(p)).\nAnswer: 84042010*p**2 - 104364*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 + -7 - (6 - 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/30 and 115\/77448.\nAnswer: 387240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 116.45, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(2\/(-11) - 0) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 4*a**2 + 31*a - 81. Let l be y(9). Calculate the greatest common divisor of 134 and l.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15623464 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14457 + -14454. Let i be (-3)\/(-2)*(-5)\/15. Which is the biggest value? (a) i (b) -2.9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55398 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/9*(-32)\/(-80)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2. Let m(w) = -31*w - 7. Determine f(m(t)).\nAnswer: 1922*t**2 + 868*t + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2. Let q(b) = -b**2. Let l(o) = o**2. Let p(z) = -11*l(z) - 6*q(z). Determine p(u(h)).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*(d*d**(4\/5))\/d)\/d*d**(-8))**(2\/17))**(9\/5) assuming d is positive.\nAnswer: d**(-558\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**4 - 256\/7 + 430\/7*q**3 - 760\/7*q + 600\/7*q**2 = 0.\nAnswer: -2, -2\/7, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:05 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -6 + 13 + -27.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.8 in -4\/11, 0.4, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -301737, -603420, -905103, -1206786?\nAnswer: -1508469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 2.655.\nAnswer: 2.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 3007*k**6\/60 - 1669*k**3\/2 - 2*k**2 + 2*k - 1281. What is the derivative of l(a) wrt a?\nAnswer: 18042*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)\/m**32)\/((m\/(m\/(m\/(m\/m**(-36)))))\/(m\/m**49)) assuming m is positive.\nAnswer: m**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00037912778 to seven decimal places.\nAnswer: 0.0003791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-16)\/(-104) - (-6346)\/3705 and 12\/(-10) - (-3)\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 q when three letters picked without replacement from qqqlqqmqbqaqmqqq.\nAnswer: 11\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oocromorrohocovvo. Give prob of sequence ohm.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(2\/9))**48\/(c*c*c\/c**7*c*c**(4\/5)))**(-41))**(31\/3) assuming c is positive.\nAnswer: c**(-1160423\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49219939620 + -85.\nAnswer: -49219939705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 7*c**5\/60 - c**3 - 6*c**2. What is the units digit of r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1133560 - -12\nAnswer: 1133572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 16. Let u be o(8). Solve -4*z = -4*s + 8, s + u*z + 4 = 3*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 18, 1\/8, 1 in descending order.\nAnswer: 18, 1, 1\/8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -34\/5 (b) 3 (c) -11\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(24)*2)\/(-6*sqrt(72)\/sqrt(6)))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:09 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.78 + -3.78. Let v = 1.1556 + -4.1559. Let g = y - v. Round g to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (43 - 1)\/(-1 - -3). Suppose j = 3*s - 3*p, s = 2*s - 2*p - 12. What is the units digit of 0\/(-2) + s + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 5. Let m be 3\/18 - 41\/(-6). What is the tens digit of v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33488, 36046, 38604?\nAnswer: 41162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 564 - 555. Solve 16*l - p*l = 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7317*-129\nAnswer: 943893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 23*c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32389 and 0.058163344.\nAnswer: -32388.941836656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*y - v - 23, 5*y + 2*v - 14 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 268 = -2*w, 2*w = 3*d + w - 206. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 125 = -0*g. Let f = g + 61. What are the prime factors of f?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32448?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Let a(t) = -t**3 + 17*t**2. Calculate -6*a(f) - 102*y(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19605?\nAnswer: 3, 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1463 = 120*d - 113*d. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 50 + 18. Suppose -13*h + q*h = 0. Determine u, given that 1\/5*u**2 + h - 1\/5*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17773*r - 23485 wrt r?\nAnswer: 17773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8*p**2. Let c(k) = -315*k. What is c(x(y))?\nAnswer: 2520*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118268 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*f + 7. Suppose f*v - 23 = 25. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 1, z: 1, e: 1, q: 1}. What is prob of sequence hq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 + 15*i - 111. What is p(11)?\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h - 22*h + 10*h + 9*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -334070\/27 + 12373. Let f(s) be the first derivative of -30 - c*s**3 + 1\/18*s**2 + 0*s. Factor f(b).\nAnswer: -b*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 3. Let j be g(3). Let m be ((-8)\/(-12))\/((-5)\/j). Let c(s) = s**2 - 8*s**2 - s**m + 0*s**2. Let h(r) = -4*r**2. Calculate c(h(t)).\nAnswer: -128*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33191206, -33191204, -33191202?\nAnswer: -33191200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1972788 and -37\/252.\nAnswer: 41428548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8765 - -9083923?\nAnswer: 9092688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, -7, -94, -181, -268?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 24. Suppose -120*f = -118*f - 4. Let r(d) = 10 - d**f - 10 - 29*d + 29*d. Determine m(r(h)).\nAnswer: 2*h**4 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*j = -7, 130*h - 131*h = 6*j - 1 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 + 87 - 5 + (6 - 1 - 3)*(0 - 1 - 1))*(-2*d**3 - 6*d**3 + d**3) in the form v*d**3 + a*d + g + n*d**2 and give v.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ohhhohoh.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45723\/18 + 2\/48*-4. Let i be 20\/(-90) + q\/(-315). Which is smaller: -7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1102, -2228, -3358, -4492, -5630, -6772?\n\"Answer: -2*o**2 - 1120*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + (15 - (6 - -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -288 + 660. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*r = 2*n - 19, -10 = 2*r. Solve 0*u + 3*u = -n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1544 (base 7) to base 12\nAnswer: -438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 28175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -37. Suppose u*p - 2*p = -2*h + 184, -2*h + 4*p = -184. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p + 7 - 7)*(-58*p**2 + 5433*p - 5433*p + 21) to x*p + l + a*p**2 + d*p**3 and give x.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 13*y - 36. Let v be p(-9). Suppose v = -12*a + 2643 + 10341. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {k: 1, c: 1, x: 2, h: 1, g: 1, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 167 + -6. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.3 and 91199.66428939.\nAnswer: 91200.96428939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 10*u**2 + 10. Let n(p) = 2 + 18*p + 2*p**2 - 18*p. Let j be n(-2). What is the tens digit of z(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*q = 374*q - 118*q - 3432 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/3 of a day?\nAnswer: 13920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600255 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1094511, 1094474, 1094437, 1094400, 1094363, 1094326?\n\"Answer: -37*r + 1094548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 0 - 1\/2*r**3 + 64*r + 3\/2*r**2. What is a(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -6*t + 2*t. What is the third derivative of 44*i**4 - 145*i**2 - 147*i**4 + 22*i**2 - t*i**2 - 2*i**3 wrt i?\nAnswer: -2472*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6568399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459897 is divided by 153215.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25907286.\nAnswer: 2, 3, 17, 253993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -274 * -3\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -298 and -3.\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 944418841 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 4. Let c be u(0). Let n(p) = p**2 + 5*p + 6. Let v be n(c). Calculate the greatest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 47. Suppose 12*s = -22*s + 29*s + 450. Suppose -5*z + u = -s. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -162911 at most as big as -162924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 94*s**2 + 2692*s - 637980?\nAnswer: 188*s + 2692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -6)\/(-1)*1. Suppose -m = -4*z + 3*m + 20, 0 = -s*z + 2*m + 19. Let r(k) = k**z - 2*k + 0*k**3 + 6*k - 6*k**2 + 1. Calculate r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 406*o + 44 = -416*o, 2*x - 6 = -28*o for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 + 20. Let z = b - -66. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -1\/25 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7309115.\nAnswer: 5, 11, 132893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*((6*(sqrt(300)*2 + -5))**2 - ((sqrt(300) - (-1 + sqrt(300) + (sqrt(300) - (sqrt(300) + 0)))) + 5)).\nAnswer: -129600*sqrt(3) + 793692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*(0 + (-6*((sqrt(3) - (sqrt(12) + 4)) + -3))**2 + 5).\nAnswer: -11262 - 3024*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 0*h - h**2 + 0*h**2 + 0*h**2 - h**2 + (1 + 1 - 4)*(-4*h**2 + 3*h**2 - h**2) + 53*h - 53*h + 12*h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0479 + -703.0479. Let g = -702.99998669 - t. What is g rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2387398, 4774800, 7162204, 9549610, 11937018, 14324428?\n\"Answer: r**2 + 2387399*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 13 = 4*m + t, 0 = 5*m + 3*t + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 5*x - 2. Let n(m) = 2 - 2*m + 7*m - m + 0*m - m**2 + 0*m. Calculate -5*h(v) - 6*n(v).\nAnswer: -4*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z - 50. Calculate x(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -16.\nAnswer: -16, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.159401 to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-35 - (7 - 19)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 + 14*b**2 + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23974685 divided by 1099.\nAnswer: 21815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.5, -0.9.\nAnswer: -0.9, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 995 + 842 = 1069*l - 428*l - 474*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -148211997.9 rounded to the nearest one thousand?\nAnswer: -148212000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.2478534 hours to weeks.\nAnswer: 0.108618175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10786703?\nAnswer: 10786703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/6 - 11\/6. Let l be ((-722)\/1596 - (-4)\/14)*(-3 - -6). Let s = 3 + -3. Which is the nearest to s? (a) -4 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9)*((q*q*q**(-2\/5)*q)\/q)\/q*(q\/q**(5\/3))\/q**(3\/7))**(9\/4))**(-11\/6) assuming q is positive.\nAnswer: q**(10967\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -77, -125, -179, -239?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 343 + -950. Let i = -374 - o. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 730*s**4 - 13081*s**2 + 92582737*s?\nAnswer: 8760*s**2 - 26162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 212202011002111 (base 3) in base 7?\nAnswer: 212160244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -97, 1\/2 in descending order.\nAnswer: 1\/2, 0.2, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -155, -25 in descending order.\nAnswer: -7, -25, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12677, 12679, 12681, 12683, 12685?\n\"Answer: 2*o + 12675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 13*f - 17*f - 16*f + 430 - 421 + 38*f. Let i = 8 - 1. What is c(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.41 - 19.59. Let m = i - -20.1. Sort -9, m, -7\/3 in decreasing order.\nAnswer: m, -7\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*h - 2 = 0, -144*p - 5*h + 38 = -148*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-45)\/(-9) - (0 + 33). What is o rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b*b)**(-14))**12\/(b**4\/b**(2\/7)*(b**(-6\/5)\/b*b*b*b)\/((b\/(b\/(b\/(b**(2\/13)*b*b))))\/b)) assuming b is positive.\nAnswer: b**(-3034\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -146710738472410 and -4.\nAnswer: -146710738472414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83 and 66.\nAnswer: 5478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 9. Let a be v(10). What is the closest to -1 in 1\/2, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3384721 to the nearest integer?\nAnswer: 1840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30896861?\nAnswer: 29, 1065409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 706211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 + -122. What is the remainder when 21 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/11 + 2488*a\/11 + 773768\/11 = 0.\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 562231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.22 and -287.\nAnswer: -284.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -33*i + 117. Let j be 0*1*(-2)\/(-4). Solve i*q - 6 = -j*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c464 (base 15) in base 9?\nAnswer: 62824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.127 (b) 1\/2 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1273 and -79\/5092.\nAnswer: 5092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 20763 and -97 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**3 + 25992*o**2 + 18765372*o - 37634688 = 0?\nAnswer: -672, 2, 9334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*j*x - 2*c*j - 426*c*m*x - 2*c*m + 26*c - 2*j*x - 1397*j + 2*m*x - m - 3*x wrt c?\nAnswer: j*x - 2*j - 426*m*x - 2*m + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 + 3*k - 3*k)*(4*k - 3*k + k) - 4*k**3 - k**2 + 8 - 6 - 3*k**3 to the form d*k**2 + i + s*k + b*k**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-6))\/(-6))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -31. Sort 2\/19, r, 4 in decreasing order.\nAnswer: r, 4, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -10020202?\nAnswer: 10020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7784*f**2*o**2 - 36*f**2*o - f**2 - 42*f*o**2 - 89*f - 29*o**2 wrt f?\nAnswer: -15568*o**2 - 72*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040223 rounded to six dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 102.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176006 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(480)*-3)\/sqrt(6) + -2*(4 + (sqrt(5) + -1*(-2 + sqrt(5)))**2).\nAnswer: -60*sqrt(5) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 244 + 56. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 454 = -568. What is the nearest to -1\/2 in 0.4, -4, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/(-175)*(-35)\/75. Suppose -7*v + 2*v - 10 = 0. Let p be (v\/8)\/(-1)*4. Which is smaller: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + m**2 - 5*m + 28. Calculate q(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**3 + b**2 + b - 1. Let y(s) = s**3 + 15*s**2 + 14*s + 1. Let d be y(-14). What is h(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 4*n + m, -2*n = -5*n - 3*m + 78. Let r be (1 - (-7)\/n)\/(1\/(-44)). Let o = -49 - r. Solve o*p - 2*p = 2*c - 8, 0 = 3*c + 2*p - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 166.132 and 7.932.\nAnswer: 174.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 30349*f - 394510. What is g(13)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, y: 5, m: 5, p: 5}. Give prob of picking 2 b and 2 p.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -50\/9, 2, 1\/4, -43?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 100\/16*(-2 + -2). Let q = 38 + c. Suppose -s + 33 = -q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2908, 11604, 26084, 46342, 72372, 104168, 141724?\n\"Answer: -f**3 + 2898*f**2 + 9*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (2 - 5\/(-1)). What is the common denominator of -20\/17 and 3\/r + -1 + 3?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1325480 (base 11) to base 15.\nAnswer: -303d33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 11*l**3\/6 + 10*l**2 - 2*l + 20. What is x(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -207*p + 4239. Calculate q(20).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-3*2*sqrt(108) + sqrt(108))*3 + -2 + 5)**2)*-4.\nAnswer: -97256 + 2160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 11154093?\nAnswer: 11154098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84017.19nm in meters?\nAnswer: 0.00008401719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3526 divide 2004795156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.58 - -0.08. Let y = 1 + x. Let u = -3 - -4. Which is the second smallest value? (a) 0 (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1 (c) 403\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 2\/9, -0.3, -0.4, -3\/74 in increasing order.\nAnswer: -1, -0.4, -0.3, -3\/74, 2\/9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0*k - 14*k + 2*k + 169 - 22. Let z be a(12). Solve -z*f + 3*x + 11 = -13, -5*x = f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/18)\/(5\/(-210)). Let n be (-52)\/(-6) - (-3)\/9. What is the highest common divisor of v and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-5 - -11) - (1 + (17 - 15))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2. Let p = -478 + 482. Let z = 45 + -29. Let d(n) = -z*n + 16*n + p*n**2. Give d(t(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 19*h + 20. Determine n(-25).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 9337*h + 3753646. Determine k(-421).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 27.9 (b) -3 (c) -1\/7 (d) -5 (e) 350\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 837532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*q - 272799 = 14*q + 1674*q - 101118 for q.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3105.29 and -2353654.755.\nAnswer: -2356760.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1486 and 16\/5201.\nAnswer: 10402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 k = 27 + -22. Suppose 4 = 4*l, -k*a - l + 0*l = -1. Suppose -60 = -6*o - a*o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1267182071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 228878010018 - 228878008417.55342997. Let v = 1615.44657 - m. Let y = v - 15. What is y rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 8528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -50, -92, -154, -242, -362?\n\"Answer: -n**3 - n**2 - 18*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - 5*s**2 + 5*s**2 + (2*s**2 - 4*s**2 + 3*s**2)*(s - 4*s + 2*s) + 0*s**3 - 3*s**3 + 5*s**3 + 17*s**3 + 23*s**3 + 26*s**3.\nAnswer: 68*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2100) - sqrt(2100)*2)*1 - sqrt(2100))\/((2*sqrt(6))\/sqrt(2) - -3*sqrt(75))*-5.\nAnswer: 100*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(3*(-2)\/(-27)))\/((-1020)\/680).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 6*g**2 + 5*g + 8. Let f be b(6). Let y = f - 15. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/77 and 5\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/77 + 305\/231. Which is the smallest value? (a) 2\/9 (b) 4 (c) s (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 6*t**2 + 7*t + 3. Let j be i(-7). Suppose 0 = -s + j*s + 32. Which is greater: -15 or s?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21652701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 + 23*n**2 + 10*n**2 + 19*n**2 as h*n**2 + v + f*n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3\/23 (b) 2\/5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11720268.\nAnswer: 2, 3, 7, 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.431 (b) 4 (c) 0.160488\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -3*i**6\/20 + 13*i**3\/6 + 4*i**2. What is the first derivative of u(h) wrt h?\nAnswer: -54*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -15*s + 57. Let w(h) = 156*h - 7956. Let y be w(51). Determine b(y).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p + 245. Calculate a(-40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001086784516 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48387?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 288*h**2 + 465*h = 0?\nAnswer: -155\/96, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 0.00659.\nAnswer: -0.005272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011111100011100011101 + -101001?\nAnswer: -11011111100011101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.75952 hours in days?\nAnswer: 2.36498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3596320371 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 245859 or 244669?\nAnswer: 245859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b = 17*b + 728 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6527 - 9372 = 263*n - 42032. Suppose 4*l - 31 = -355. Let h = l + n. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from {l: 5, z: 1, q: 1, t: 3, h: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 26. Solve 24 = -4*j + n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.039 - -0.461. Which is the biggest value? (a) j (b) 4\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 611, -17.4, -0.4, 4, 2\/31?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -20, -36, -66, -116, -192?\n\"Answer: -s**3 + 2*s**2 - 7*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 = -5*f, 2*f + 8 = 2*g - 4. Solve 34 = 21*k - g*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f - 17. Let c be v(-7). Let w be (-3)\/(-3 - (0 + -2)). Suppose 8*a = -y + w*a + c, 5*a = 3*y - 32. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*p - 2 + (-2 + 2 - 2)*(0 + 0 - 2*p) - 3*p - 3*p + 5*p + 3*p + 2*p - 4*p + 0*p + 4*p - 5*p)*(151 + 98 + 127) in the form i + m*p and give m.\nAnswer: 1880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1 + 2 + 1 - 2 + j. Let w be p(3). What is the greatest common factor of 55 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v**(-1\/4)\/v))\/v*v)\/v*v*v**(1\/11))\/((v*v**(2\/13)*v*v*v*v)\/(v**(-1\/6)\/v)) assuming v is positive.\nAnswer: v**(-5113\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627452 is divided by 5377?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*i - 7 + 118. Which is greater: -1\/26 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2, 157 in descending order.\nAnswer: 157, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -31236.5164191.\nAnswer: -31238.5164191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1993 is divided by 284.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -650 + 1822. Which is greater: 1175 or a?\nAnswer: 1175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(10\/4 + -3). Let s(h) be the second derivative of -1\/15*h**4 + 1\/15*h**3 + o*h + 0*h**5 + 0 + 2\/75*h**6 - 1\/105*h**7 + 0*h**2. Factor s(g).\nAnswer: -2*g*(g - 1)**3*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 1)*(0 + 0 - y**3) + 7*y**3 + 5*y - 5*y)*(-4 + 3 + 5).\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, i: 6, h: 2, r: 1, a: 1}. Give prob of picking 1 i, 1 r, and 1 f.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113123233 + 12?\nAnswer: -113123221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3465 - 3469. Sort -1, b, 0, 4, -3 in increasing order.\nAnswer: b, -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1344 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 614026 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -47b7 (base 12) to base 5\nAnswer: -224214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187 - -183. Sort 0.1, v, 1, 2\/25 in decreasing order.\nAnswer: 1, 0.1, 2\/25, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/(-24)*(-1)\/(-4)*6. Let q(k) = -19*k + 11. Calculate the remainder when q(-2) is divided by (-162)\/(-12) - v\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 - (2 + 1 + 3 + -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 314.8766 grams?\nAnswer: 314876600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 12*m + 2. Let y be z(12). Find the first derivative of -2*v**3 + 327*v**4 + 36 + y*v**3 - 352*v**4 wrt v.\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(616))\/sqrt(11))\/((sqrt(224)*2)\/(sqrt(7) - sqrt(63)\/(sqrt(9)*1 + sqrt(9)))).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*-1 + 14\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*i*l**3*q**2 + 5*i*l**3 - 2*i*l**2*q - i*q - 2*l**3*q + 2*l*q**2 + 2 wrt l.\nAnswer: 222*i*q**2 + 30*i - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*z - 9, 0 = 4*z - 10 + 2. Let m = -38 + 151\/4. Let j(w) = -2*w. Let g be j(1). Which is the nearest to g? (a) o (b) 0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368 and 2263913?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-979 - 17*k - 975 + 1959)*(0 - 2 + 3)*(0 + 2*k + 0) to the form n*k + j + w*k**2 and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 103 = -z, -5*q + 4*z = -81 - 32. What is the highest common divisor of q and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153083 to the power of 1\/2, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1 - (-15)\/(-5)) + -5)*4\/(-12). Solve -5*m = r*m + 56 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3251625 and 9802?\nAnswer: 84542250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (416\/(-117) + 4)*18 - 7. Let z(m) = m**3 + m**2 + m. Let o(a) = -4*a**3 - 2*a**2 - 9*a. Calculate i*o(f) + 3*z(f).\nAnswer: -f**3 + f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 588.3078 decades in months?\nAnswer: 70596.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*s + 2923, -2951 = f - 2*f + 3*s. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2896*v + 2*o = -2891*v + 101, -5 = -v - 8*o for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1472, -11711, -39496, -93599, -182792?\n\"Answer: -1462*f**3 - f**2 - 2*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1800\/13 - -7187\/52. Which is the biggest value? (a) i (b) 0.203 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 1 + (0 + 0 - 1)*(3 - 3 - 3))*(-6 + 6 + 3*o) to the form h*o + i and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5729 is divided by 72.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 + 4*w**2 - 2*w + 6991. Is k(0) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*p - 13*p + 126 = -8*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64795 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5\/9 + 254*g**4\/9 + 27086*g**3\/9 - 111086*g**2\/9 + 46636*g\/3 - 6240 = 0. Calculate g.\nAnswer: -72, 1, 2, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*(7 - 3). Suppose j*w = y - 0*w - 8, y = 4*w. Suppose 20 = 5*k - 0*t - 3*t, y = 4*k - 5*t. Solve 2*m + 3*m - 1 = -4*x, -1 = 3*m + k*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4200.9 - 4201. What is the smallest value in 0.1, x, 1121?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575.2594 months in years?\nAnswer: 214.60495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i = y - 6388 + 6504, 11 = -3*i - y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 381?\nAnswer: 22860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 + 20\/3*h**2 + 10\/3*h**4 + 20\/3*h**3 + 2\/3*h**5 + 10\/3*h.\nAnswer: 2*(h + 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a factor of 31543738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2005 and 9624?\nAnswer: 48120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3095 - 3)\/(4\/1000). What is f rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 218 = -4*s, 3*s - k - 71 = 94. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.13, -22, -2, -3\/4 in descending order.\nAnswer: 0.13, 0.03, -3\/4, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 1, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*o - 2117 = 38 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/t**(5\/3))\/t)*t**(3\/2)*(t*t**(-4))\/t**(1\/16) assuming t is positive.\nAnswer: t**(53\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 79025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*y**2 + 2 + 0 - 9*y**2)*(-6*y - 9*y + y).\nAnswer: -154*y**3 - 28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*m - 89. Let n = m + 36. Suppose n = 9*z - 4*z. Solve -z*x - x + 15 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 23*k - 10. Let s(m) = 48*m - 20. Let n(c) = -5*d(c) + 3*s(c). Suppose -7*x = -2*x + 3*h - 16, -3*x = h - 12. Does 7 divide n(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2358902 and 0.4?\nAnswer: -943560.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzzk when four letters picked without replacement from zkzk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21957124.\nAnswer: 2, 7, 784183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5\/3 + 251*m**4\/3 - 96*m**3 - 3012*m**2 + 3024*m = 0?\nAnswer: -252, -6, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20914 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j + 171216 = -39*j. Suppose 3*a + 5*z = 14278, 3*a - 3*z = -6*z + j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x. Suppose -5*u + u + 48 = x. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37189 + -1d?\nAnswer: 3716a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**7\/30 - 7*y**6\/15 + 1963*y**4\/24 + 3182*y**2. What is the second derivative of z(c) wrt c?\nAnswer: 84*c**2 - 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 11, o: 1}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1226 - 1225.9. Is -1\/15 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211546 (base 9) to base 8.\nAnswer: -2403574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h*r + 31258*h + 365886*r wrt h.\nAnswer: 3*r + 31258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80628587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -8 + 264. What is the greatest common factor of 256 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 70*u + 42. Give c(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4592*g - 5*g**3 - 4592*g + 24*g**3.\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 7*w**2 + w - 3. Let l = -8 - -15. Let q be o(l). Solve x + 12 = q*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2570278322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 + 47\/(1128\/480))\/(-1 + 4\/2).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(2688\/(-16))*2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1 - (-1 + -1 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**5 + 2*g**4 + 1652911*g**2 - 100387550*g wrt g.\nAnswer: 40*g**3 + 24*g**2 + 3305822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 7 = 4*f. Suppose 0 = f*w - 23*w + 21. Calculate the lowest common multiple of w and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1090\/45 + 2\/(-9). Let t = -88 + 91. Differentiate 8*b**t + o*b - 24*b - 6 with respect to b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24088761*r - 51495287 wrt r.\nAnswer: 24088761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Suppose d - 13 - c = 0. What is the lowest common multiple of 20 and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610551861 to the power of 1\/3, to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 1, f: 3, b: 1}. What is prob of picking 1 r and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twenty-six sevenths of a week?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2098908046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 0 + 10)*(-11*f + 2*f + 0*f - 6*f).\nAnswer: 270*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2902227.\nAnswer: 3, 53, 18253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 651*m + 56 = -646*m, 0 = 4*p - 0*p + 2*m - 32 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(121)\/sqrt(11)))\/(sqrt(1440) - sqrt(1440)*5).\nAnswer: -sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2711 = -p + 14392. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 275 + -253. What is the greatest common divisor of s and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, b: 2, d: 7}. Give prob of sequence bdvb.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 906 - -103. Suppose x = -5*o + 11579. Is 2\/(-5) - o\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/6)\/(34\/62033) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 4*j**2 - j + 2. Let b be w(-3). Suppose 3*v - 20 = -b. Solve 4*y - 5*m - 6 = 0, -2*m + 2 + v = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -70428.\nAnswer: 70424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (0 - 2) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34800115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 36615 (base 10) to base 15\nAnswer: acb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 15*f + 36. Is b(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 1085802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4 + 388793*a**3 + 4*a**2 - 5273543*a?\nAnswer: -24*a**2 + 2332758*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9897230 and 1190?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1963*h**3 - 262*h**3 - 587*h**3 + (2*h + h**3 - 2*h)*(-3 - 1 + 3) in the form a*h**3 + f*h**2 + z*h + x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.4 and 118.\nAnswer: -637.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -7 - 57 + 11 + 7 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 738474*n**2 + 86.\nAnswer: 738474*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -20*x**2 - 2*x. Let v be z(2). Let p = -52 - v. Let a = 8 - 5. Solve -3*s - 4*u = -5*u + 7, 0 = -a*s - 4*u - p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -18 + 6 + (14 - (-10 + 20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 0.2961443?\nAnswer: -1.2961443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 10*d + 7. Let m be s(-2). What is the closest to -1\/3 in m, 4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u + 17*u**2 + 7 + 11 + u**3 - u + u**3 - 16 as l*u**2 + s*u**3 + z*u + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*1*5)\/(sqrt(32)\/(sqrt(12)\/sqrt(3)))*1.\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from xqjxjxxxqxxqxxjxxx?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12250 + 39260. Suppose 4*x - 7*g - 54008 = -8*g, -2*x - 2*g = -l. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4182\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 15 = -7*o. Suppose -5*f = 5*d - 25, f + o*f = -5*d + 15. Suppose 2 = 4*l - f. Solve 3 = 3*u + 3*i, 4*u + l*i - 1 = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t**2 - 18*t + 5. Let z(i) = -8*i**2 - 18*i + 6. Let n be 152\/24 - (-8)\/(-6). Let s(f) = n*z(f) - 6*j(f). Find the second derivative of s(b) wrt b.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23725.\nAnswer: 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82739.\nAnswer: 17, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 + 4*d. Let s be h(-4). Suppose 0 = 3*i + i - s. Calculate the remainder when i is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:01 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/36)\/(1*-2)*-6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 15055548.\nAnswer: 75277740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1309119 litres to millilitres.\nAnswer: 130.9119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1910 by -382.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.059*2659432\nAnswer: 156906.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/906 - 1183\/151. Let n be ((-1)\/12)\/((-1)\/98). Let y = -451\/24 + n. Find the common denominator of y and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 - 3*v - 3. Let a(b) = -7*b**2 - 5*b - 5. Let k(r) = -3*a(r) + 5*x(r). Let h = -16 + 15. Calculate k(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.018 and -173.978?\nAnswer: 173.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 707750281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a decade in years?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -30. Let b be 0 - (2*-1 - -1). What is the smallest common multiple of -1 + f + b + 23 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 282687 + 43507 = t, 3*t + 3 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10902*j + 3 - 31430*j - 15. Let k be n(-4). Round k to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -c + 11. Let r be ((0 - (-15)\/20)*4)\/c. Solve -u - 11 = -3*y, 0*u = -y - 2*u - r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77368203 to the power of 1\/2, to the nearest integer?\nAnswer: 8796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10514 (base 6) to base 12.\nAnswer: a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81*(-56)\/7560*(-1 - -2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*g + 115, -59 = -4*g - 5*q - 0*q. What is the units digit of 132\/g - 2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/3644 + -228\/911. Let s = 0.7 + -3.7. Which is the closest to k? (a) s (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 - 7*u**2 - 13090 + 5997 + 14*u**2 + 7093.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 8 + 74 + -119?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = m + m. Suppose -m*b + 26 = -4*o, -3*b = -0*b + 5*o - 23. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 20 = 5*h. Let k(g) = -23*g - 2*g**2 + 23*g + 8 + g**2. Let x be k(0). Is x at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -233 + -23141?\nAnswer: -23414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) - -4*(sqrt(176) + sqrt(176) + 1) - (sqrt(11) - -4*(sqrt(11)*2)**2 - (sqrt(121) + -1*sqrt(121))\/sqrt(11)).\nAnswer: -172 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from {z: 12, a: 3, b: 2}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/15 + 159*(-18)\/5670 - (-16 - -15). Let 3\/7*i - 6\/7 + v*i**2 = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2431*n + 2113 wrt n?\nAnswer: 2431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -9\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 506*w**2 - 9*w + 8. Is s(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761 is divided by 194.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let w be -2 + (2 - -2)\/1. Let c(a) = -2*a**2 + 2*a**2 + 2*a**3 - 2*a**2 + 3*a**w. What is c(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 490.5352333 to the nearest ten.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-3 - 5)) + 0. Solve d - t = -2*d, 4*l + 5*d = 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1654 (base 8) to base 3\nAnswer: 1021211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 187.32504 months?\nAnswer: 15.61042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 - 2*i + 9. Suppose 0 = -5*h - 27 - 13. Is d(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**5 - 2*u**4 + 5*u**3 + 5. Let j(f) be the first derivative of 4*f**6\/3 - 2*f**5\/5 + 3*f**4\/2 + 6*f - 4. Let l(o) = 5*j(o) - 6*m(o). Factor l(g).\nAnswer: -2*g**4*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(3 - 40\/12). Suppose -t - 7 = 3*q, 3*q - x = 2*t - 5. List the prime factors of 25*(t + (-2)\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142303\/32345 - 3\/6469. Which is the second biggest value? (a) -4\/3 (b) n (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-2 + sqrt(147)*4)*4 + -4) + -5)**2.\nAnswer: -12992*sqrt(3) + 151369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2303536475885 - 5.\nAnswer: -2303536475890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:08 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 491 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 7e8f69?\nAnswer: -7e8f6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3797 + -150?\nAnswer: 3647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h = 15, 5*o - 2*h - 204 = 0. Suppose -4*i + i = -o. Suppose -54 = -t - t + 5*n, 2*t - i = -5*n. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 998 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*w**3 + 562773*w**2 + 7799784*w - 1125740 = 0. What is w?\nAnswer: -14, 1\/7, 80410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -14. Let a(x) = -9*x - 2*x + m*x**2 + 6 + 8*x - x**3. Determine a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 84 + 89*i - 174 + i**4 + 95*i + 89 to the form t*i**2 + f + h*i + y*i**3 + l*i**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + (-2 + sqrt(162))*2 + (sqrt(18) - sqrt(90)\/sqrt(5))*-4)**2.\nAnswer: -180*sqrt(2) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204658 is divided by 270.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15844\/3 + 5284. Which is the second smallest value? (a) i (b) 0.2 (c) -1.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/36*(-432)\/198.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10236 * 0.2\nAnswer: -2047.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 - -5262?\nAnswer: 528a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/60 - t**4\/4 - 2*t**3\/3 - t**2. Let d be i(7). Differentiate -2 - d + 3 + n**2 wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 6*l**2 - 2*l - 8. Let f be q(-6). Let h be (f\/6)\/(1\/3). What is the derivative of 2 - 3*b + 0 + h*b wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:32 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -9.4. Let d = 2\/41 - 120\/779. What is the nearest to 0.1 in d, -2\/13, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a, -2*i + 3*a + 175 = -65. Suppose -3*l - 1 = -46. What is the highest common divisor of l and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 111000?\nAnswer: -111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {f: 9, c: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or 497439?\nAnswer: 497439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**0)**(-23)\/((k*k*k**(1\/6))\/k*k*k*k**(-2\/11)) assuming k is positive.\nAnswer: k**(-1715\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 46411770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 947*q - 57900 = -945*q - 38*q for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = -23*w - 14*w - 765 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.501606061 to three dps.\nAnswer: 0.502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 6:08 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 2. Suppose -4*k + 5*k = -6. Let y be x(k). What is the units digit of (3\/y)\/((-1)\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 + 62\/30. Let r(c) = 41*c - 1145. Let d be r(28). Factor -4\/5*x**d - 4\/5 - 12\/5*x**2 - b*x.\nAnswer: -4*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - h + 6. Let a be g(-3). Suppose w + 0*p + 3*p = 60, -3*w + 3*p + 144 = a. Let l = -36 + w. Solve -2*q = q - l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 732 = -780 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(70)\/(sqrt(10) - (sqrt(10) + sqrt(640)*2)) - (-4*-2*sqrt(70) + sqrt(70) + sqrt(70))\/sqrt(10)))**2.\nAnswer: 1633023\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -0.2 (c) -0.3 (d) 108 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w. Let m = 13 - 8. Let r be ((m - 3) + -4)\/(-2). Calculate u(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1000 - 20?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 13 = 3*i, -m = 2*i + 101 - 108. Suppose -14*n + 12*n - 19614010 = -3*p, -3*p + 19614025 = -m*n. Round p to the nearest 100000.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipp when three letters picked without replacement from {p: 5, i: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(2\/2) + 12. Let g be (24\/(-3))\/2 - 6. Let m = g + 12. Solve -2*j = 4*x - q, 0 = -3*x - m*j + 2 + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*v + 2*v. Suppose -v*a + 5*l + 22 = 4*l, 33 = 5*a - 4*l. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 11855. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, s: 6}. What is prob of sequence ss?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -3*i - 24, -9*i + 1892063*z - 1892060*z = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*p**6 - 5*p**5 + p**4 + 215890*p**2 wrt p?\nAnswer: 4560*p**3 - 300*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13800?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 12:13 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45.684 and 3.\nAnswer: -137.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.04 (c) -3\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -184133, -184116, -184099, -184082?\n\"Answer: 17*i - 184150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263538112?\nAnswer: 2, 4117783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(80) + -5 + (sqrt(5) + 3)**2.\nAnswer: 12 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-3*t + 5*t - 3*t) + (-4 + 1 + 5)*(2*t + 0 + 0) + 0*t + 3*t - 5*t + (-35*t + 54*t + 27*t)*(11 + 1 + 7)*(-3 + 5 - 5).\nAnswer: -2619*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttt. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 q when three letters picked without replacement from zqzqqqzzqqqzqqqqqqqq.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (6 - 10)) + (-6 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 23*w**3 - w**2 - 3*w + 4. Let c be t(2). Let u = c - 123. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -30. Solve -t + q = 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 809, -3, -30 in increasing order.\nAnswer: -30, -3, 809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -19*i + 11. Let w(x) = 10*x - 5. What is 3*b(g) + 7*w(g)?\nAnswer: 13*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 125*o**3 + 12*o**2 + 25*o + 3. Let s(g) = 42*g**3 + 4*g**2 + 9*g + 1. Let y(b) = 6*h(b) - 17*s(b). Is y(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -2\/59, -45, -5, 0.3?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1609*b**2 + 33*b + 25. Let k(c) = 320*c**2 + 6*c + 5. What is 11*k(v) - 2*p(v)?\nAnswer: 302*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1869 and -2?\nAnswer: -3738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let m(k) = k. Let n = 0 - 2. Let j be (-1)\/(5\/45*3). What is j*m(y) + n*d(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d46 + 72?\nAnswer: db8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -58*y**2 + 55*y - 53. Calculate f(1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, u: 4, d: 1, h: 1, l: 1, j: 3}. What is prob of picking 1 h and 1 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -108*b**2 + 9*b - 69. Let m(h) = -215*h**2 + 16*h - 120. Give -4*m(x) + 7*w(x).\nAnswer: 104*x**2 - x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**5\/5 + 3*g**4\/4 + g**3 + g**2\/2 + 7. Factor a(v).\nAnswer: v*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581059 is divided by 193663.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:12 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + y**2 + 74329*y**3 - 74443*y**3.\nAnswer: -114*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 15 (b) 1 (c) 3\/2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37678 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = h - 5, -7*v + 10*v = -15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 8*h - 2*h)*(-1 + 4 + 0 - 2 - 2 + 2 + (3 + 0 - 2)*(-2 + 1 - 1) - 1 + 1 - 5) + (-5*h + h + 2*h)*(-2 - 2 + 2).\nAnswer: 76*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 115 + 119 + 143 + 144 - 98)*(8*f - 4*f + 0*f).\nAnswer: 1580*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -76*y**2 + 11*y - 283. Let p(m) = -32*m**2 + 6*m - 142. Let o(x) = 21*p(x) - 9*q(x). Factor o(k).\nAnswer: 3*(k - 5)*(4*k + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1844*s + 473*s - 1002*s + 1916*s + 801*s to i + m*s and give m.\nAnswer: 4032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxxcyxqyyx. What is prob of picking 2 y and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 6 - 8)*(-2*i + 3*i + 2*i) + 33*i - 1 - 23*i + 2.\nAnswer: 28*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 104\nAnswer: 27\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6)*7\/(-35))\/((-15)\/12)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 10, 20, -1.38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -155 (c) -0.3 (d) -5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 826.75 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 37 = 5*w + 21, 9*w + c - 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 e, and 1 g when three letters picked without replacement from lggrllrlfelrirr.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2. Let w(r) = -2*r. Let u(v) be the third derivative of v**4\/24 - v**2. Let h(s) = 9*u(s) + 4*w(s). What is g(h(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2 - 0.2. Let z be 2\/10 + 0\/(-1). Let i be (-21)\/(-24)*-2 - -2. Which is the closest to -1? (a) q (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 16, 0 = -k - 196*x + 194*x + 46737. List the prime factors of k.\nAnswer: 19, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2151 divided by -1.\nAnswer: -2151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 27.983*0.26\nAnswer: 7.27558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/9*((-78)\/1040)\/((-201)\/335)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.29388 + 0.7939. Let m = a - -0.5. What is m rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 3 (c) -10 (d) -1530 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 - 100. Calculate the highest common divisor of q and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.1 - -3.6. Which is the nearest to -0.1? (a) 1\/3 (b) d (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1.24.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + (-2)\/(-1) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 237120600.\nAnswer: 2134085400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58013071?\nAnswer: 401, 144671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/3 + k**4 - k**3\/3 - 11*k**2\/3 - 4*k - 4\/3 = 0. Calculate k.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzutzpj. What is prob of picking 1 l, 1 j, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mllk when four letters picked without replacement from kllmmmmkmlmm?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5542597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 39 = -f, 0 = f - 5*c - 49. Solve -f = -2*w + 14*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let b(v) = 112*v. What is p(b(z))?\nAnswer: -112*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/(-65))\/((-4)\/10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46008.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025707 is divided by 78899.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*t + 602*t - 13*t + 450*t.\nAnswer: 1505*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3475990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + 52. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 272, 320, 386, 470?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -143502281 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**4\/12 + 2*a**2 + 10034*a. Suppose 5*p = -5*k + 15 + 10, k - 20 = -4*p. What is q(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11407)\/305 - -37)*(-25)\/640.\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226146 to the power of 1\/2, to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 17*x**2 + 75*x - 1257. Calculate v(17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.7 - 20.68. Let q = l - 0.02. Let i = 0.12 - 5.12. Which is the nearest to 0.1? (a) -4 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 41.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((4 - -7) + -11) - -11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 14*s**4 - 3*s**2 + 40. Let k(x) = 27*x**4 - 5*x**2 + 79. Let o be -3 + 0 + -2 + 2. Let v(b) = o*k(b) + 5*p(b). What is the derivative of v(j) wrt j?\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 7. Let o be q(5). Let j(l) = -l**3 + l**2 - l. Let d be j(o). What is the tens digit of d\/(-4) + 54\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-273))\/(17340\/(-7803))?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-1) + (-5 - -10) + -82. Let q = 83 + w. Find the second derivative of 1624*p**2 - 1624*p**2 + 28*p**q + 16*p wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036506.\nAnswer: 2, 3, 172751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q + 0*q)*(-1 - 2 + 2)*(-142*q + 11*q + 78*q).\nAnswer: 53*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 596731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 29. Calculate the smallest common multiple of 10 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1096418 and 469006.\nAnswer: 3106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**3 + i**3 + 4*i**2 - 2*i**2 - 1 + 2*i + 2. Let p be g(-1). Solve 0 = -4*j + 2*j + p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14400.8 - 17614. Round s to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.99926 + 0.00074. Which is the closest to 0.1? (a) f (b) -0.5 (c) -1.048\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 - 7*u**2 - 3*u - 3*u**2 + 4*u**2 as z + n*u + d*u**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*t - 3*s + 4, 2*s - 10 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 22\/3 + 2\/9*l**2 + 28\/9*l = 0.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - 8*t - 10. Calculate n(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7389\/(-15) - 14\/35. Let b = g - -496. Solve -3*z - b = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1002100225 - -3?\nAnswer: 1002100232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9609 - -11495. What is the remainder when c is divided by 188?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38957503 divided by -3.\nAnswer: -38957503\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 42*z - 24. Let x(h) = h**2 - 4*h + 4. Determine d(k) + 9*x(k).\nAnswer: 9*k**2 + 6*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = h + 2, 101 - 105 = 2*h + q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.04992 (c) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467, 2167, 5003, 8975, 14083, 20327, 27707?\nAnswer: 36223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 3*u + 2 + 2311*u**4 - 2346*u**4 - u**2 in the form g*u**2 + j*u**4 + q*u + f + o*u**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/6*(2484\/54)\/(-92).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9758.191 minutes in milliseconds?\nAnswer: 585491460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a meter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158512644.\nAnswer: 2, 3, 4403129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 8*n - 3. Let c be u(5). Suppose -2*h - 124 = -4*x, 0*x - 2*x - 4*h = -52. Calculate the highest common factor of x and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i - 3. Let p be (1 + -3)\/(5 - 7). Let l(x) = -6*x + 4*x + 2*x - p + x. Give 4*k(r) - 12*l(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 5:25 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -15*x**3 + 2*x**2 - 13*x - 13. Let v(f) = 7*f**3 - f**2 + 6*f + 6. Suppose 108*a - 462 = 31*a. Calculate a*k(h) + 13*v(h).\nAnswer: h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) + sqrt(208) + -1 + 1 + sqrt(208))*-6 + (1 + -2*sqrt(208) - (sqrt(208) + -4*sqrt(208)*-1)))*-5)**2.\nAnswer: -5000*sqrt(13) + 3250025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y + 2*y - y)*(-3*y + 8 - 8) to z + v*y**2 + r*y and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvwjaan. What is prob of sequence wa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**3 - 4*n**2 - 2*n + 2. Let b be (-21)\/35 - ((-14210)\/(-25) - -3). Calculate the smallest common multiple of i(-2) and (-9)\/(-3)*b\/(-33).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3263428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - 36. Let n be 65\/j + 2\/8. Is -2 + -3 - 384*n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 10*v - 6. Calculate q(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 0*t + 10 + 1\/2*t**2. Let k(d) = d. Give v(k(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56200 and 1?\nAnswer: 56200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7816965.838 and 6.5.\nAnswer: -7816959.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + ((sqrt(110)\/(sqrt(22)\/(-1*sqrt(2))))\/(sqrt(500)\/(sqrt(10)*1) + sqrt(50)))**2)*2.\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 64656989, 64656988, 64656987, 64656986?\n\"Answer: -o + 64656990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 1 + 0 + 3 - (144 - 155).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/32466225 and 13\/427750.\nAnswer: 324662250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28156411*j**3 + 1726125*j**2 + 2*j - 10 wrt j?\nAnswer: -168938466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in decades?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 + 18*n**3 - 12*n**2 - 18*n + 15.\nAnswer: -3*(n - 5)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.6 - -3. Let t = 11 - 11. Does t = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16354010 (base 8) to base 14\nAnswer: 709716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 98*o**5\/9 + 602*o**4\/9 + 328*o**3\/3 + 608*o**2\/9 + 128*o\/9 = 0.\nAnswer: -4, -1, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 2*l - 2. Let i(c) = -2*c**3 - 3*c - 2. Let g = 8 - 13. Give g*r(b) + 4*i(b).\nAnswer: -3*b**3 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5890*z**3 - 5779*z**3 - 10*z**2 + 11833*z**3 - 831*z**2 wrt z.\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7832 divided by -356?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 8*q - 3. Let c be 1\/(-7) + 100*(-1)\/(-14). Determine p(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6 - 12 + 3 + 1 - k**3 + 3*k**2 wrt k?\nAnswer: -3*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48445056?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1997771760?\nAnswer: 2, 3, 5, 2774683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1761.934.\nAnswer: -352.3868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 - -16) - 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 336089, 336080, 336065, 336044, 336017, 335984, 335945?\n\"Answer: -3*f**2 + 336092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 19*z - 95. Let r be g(-13). Let a(f) be the second derivative of -f**3\/6 - 5*f**2 + f. Let q be a(-5). Sort 1, r, q in increasing order.\nAnswer: q, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 30 - 4*t**2 + (0*t**2 - 6*t**2 + 2*t**2)*(4 - 1 - 4)*(-9 + 2 - 3)*(-1 - 2 + 4) to h*t**2 + b*t + l and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (209\/(-22))\/((-3)\/948). Let f = o - 2133. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 967*l**5 + 5*l**4 - 442*l + 9. Let r(p) = -483*p**5 - 3*p**4 + 221*p - 5. Let h(a) = -5*r(a) - 3*z(a). What is the second derivative of h(u) wrt u?\nAnswer: -9720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440 (base 15) to base 12.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/81 and 32\/141.\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -341.\nAnswer: 2\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55277948 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: ed3c4 (base 15) to base 6\nAnswer: 24052204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*55\/(8250\/(-16))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 9*s. Let k(g) = 37*g. Let b(d) = -167*d. Let o(i) = 2*b(i) + 9*k(i). Determine o(a(h)).\nAnswer: -2*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3749 plus 1.3?\nAnswer: 3.6749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**2\/2 + 4*a - 1. Suppose -5*m + x = -2 - 6, -6 = -3*x. Determine w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5398, 4, 2, 7 in decreasing order.\nAnswer: 7, 4, 2, -2, -5398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436810046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38645 - -38645. Solve -5*g = 5*b + 35, c*g + 3*g + 15 = -b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 9.2186739021.\nAnswer: 12.2186739021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-42) + 20541\/(-861).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.045183 * -1.77\nAnswer: -0.07997391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5030 + 3538 - 1352 + 432*q + 1610*q + 1352*q wrt q.\nAnswer: 3394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1018*h**3 + 2434*h**2 - 4*h wrt h?\nAnswer: -6108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 179? (a) 4 (b) -2\/15 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23414\/(-7)*112\/(-32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055826 is divided by 105582.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 434\/406*(-216)\/1116\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - r**2 - r + 1. What is the remainder when 3 - (-8 + 11 + -256) is divided by x(3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 20 = -w, 30 = 3*w - 2*r + 5*r. Let l be 2\/(2 + -4) + w. Let n(j) = -j**2 + 15*j + 18. What are the prime factors of n(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -21. Suppose 14 = 4*n + n + p, n - 2*p = -x. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from znzmn.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3801409\/210 + 18102. Calculate the common denominator of -67\/56 and p.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*w + w - 7*w)*(5 + 0 + 9) in the form h*w + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c**(-1\/6))**(-24\/11) assuming c is positive.\nAnswer: c**(-4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 8 - 68. Let t be (-9)\/h - 1\/1. Put -1\/3, -2\/3, t in descending order.\nAnswer: -1\/3, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 11*c**2 + 19*c + 11. Let d be o(-9). Solve -d*p + 13 = -5*i, -i = 2 - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2608797 and 9.\nAnswer: 7826391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2104 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o. Let d be n(-1). Suppose -d*b + b = -2. Suppose 5*x = 3*z + 1, b*z + z - 13 = -2*x. Solve m = -x*t + 5, 0 = 4*m - t - 10 - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*n**2 + 35*n - 762?\nAnswer: -20*n + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 3*v - 6. Let l be y(-5). Suppose l*k + 1 = -19. Let t = k + 7. What is the second smallest value in 0.2, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17531030057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5543 - -5528.122. Let c = 8.465 + z. Let x = 0.013 + c. What is x rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-56)*(3\/(-3))\/(-1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**4\/24 + r**3 + 3*r**2. Let z be l(0). Suppose -2*g = z - 0. Sort g, 2, -2.\nAnswer: g, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -49. Suppose 3*z = 6*z - 36. Suppose 6 = 3*f - z. What is the greatest common divisor of l and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 10*l - 909. Suppose 0 = 11*v - l + 35. Calculate the greatest common divisor of v and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 41 = -v, -f + 6*f = -5*v - 85. Is (-2)\/3 - 27713\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (38 - 20 - 35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.18 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3564 by 9.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 4, -3, -10, -17?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*w + 11 = 0, 4*w - 1 - 1 = z. Let r be z\/(((-15)\/(-78))\/5). What is the highest common factor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 3b64?\nAnswer: -3b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3353754 nanometers?\nAnswer: 0.0000003353754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 - -149. Which is the nearest to 2? (a) -4 (b) 19 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192 - -2. Let s = d + -189. Solve -3*i - i + s*y = 23, y - 5 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52704 and 4026.\nAnswer: 579744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40.498 + -41.098. Let m = 0.3 - 1.3. Which is the biggest value? (a) m (b) 0.4 (c) l (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b + 3*p + 76 = 0, -5*b - 4*p = 176. Let j be 588\/(-70)*(-5)\/2. Let x = j - b. What are the prime factors of x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93124192 by 4.\nAnswer: 23281048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**3 + 13*b**2 - 3*b. Let u(f) = -f**3 + 4*f**2 - f. Determine 2*h(n) - 7*u(n).\nAnswer: -n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*((2 + 0 - 1)*(0*d - 6*d + 2*d) + 7*d - 2*d + 4*d)*(-2*d**2 - 1 + 1) in the form n*d**2 + c + w*d**3 + o*d and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 + w**3 - 5*w**3 + (1 + 0 - 6)*(32*w**2 + 26*w**3 - 32*w**2).\nAnswer: -133*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6492 = -3*q + 5100. Suppose 2*y = -4*y + q. What are the prime factors of y?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - -3 - (8 + -65 - -32).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - 4*h**3 + 4*h**3 + (2*h + 2*h**2 - 2*h)*(0*h**2 - 3*h**2 + 5*h**2) - 1 - h**4 + 1 - 3*h**4 + h**4 - h**4.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11683 is divided by 354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/60 - q**4\/24 - q**3\/2 - 3*q**2. Let w be m(-3). Solve -i - w = -4*b, 3*i - 4*b + 7*b + 12 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 68*d - 73*d. Is (-955)\/d - ((-120)\/(-70))\/4 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - -12. Suppose -k - u = 2*s - 153, 0 = -4*s - 3*k + 249. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + sqrt(1008) + sqrt(1008) + -1 + sqrt(1008) + 2 + -2*-3*sqrt(343))**2.\nAnswer: 180*sqrt(7) + 56701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/28 - 6\/7. Let y = -0.11 - -2.11. What is the closest to y in x, 1\/6, -0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**4\/8 - 4*g**3\/3 - 2*g**2. What is the units digit of k(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) 2 (b) -7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 326260896 to the power of 1\/3, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.9 + -11.8. Let l = 2.93 + w. Sort l, 1\/13, 0.\nAnswer: 0, l, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.7 - -5. Let q = k + -0.4. Which is the nearest to q? (a) -0.1 (b) -2\/7 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -12048, -0.3, -0.02 in decreasing order.\nAnswer: 2\/3, -0.02, -0.3, -12048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-191)\/(-382) - (-10)\/(-4). Let i(x) = -4*x + 34. Let b(w) = -2*w + 17. What is z*i(n) + 5*b(n)?\nAnswer: -2*n + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-7)*t)\/t*t**(-1\/7)*t**21*t**(-2) assuming t is positive.\nAnswer: t**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*p + 102*p + 1200 = 0. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -1\/175 (c) -1\/18 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1641? (a) 2 (b) 0.8 (c) 6 (d) -5 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t + 2*t**2 + 4*t**2 + 0*t + 0*t + (-3 + 3 - t)*(-6*t + 0*t + 4*t) + 3*t**2 - t**2 - 3*t**2)*(1 - 2 + 2).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9103037 - -13405855. Let m = q - 63202818. What is m rounded to the nearest one million?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 371 = -16*s - 3*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797597 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14715293 is divided by 314?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28346*o**3*t**3 - 94*o**3 + 2*o**2*t**4 + 83*o with respect to t.\nAnswer: 85038*o**3*t**2 + 8*o**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 9*h**2 - 12*h - 1. Let z be f(10). Let u = z + 21. Are u and -1\/16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 28*y**2 - y - 1. What is the tens digit of b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -7261686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216 + 11?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-3))\/(3\/(-27)). Suppose -5*i + h = -0*i. What is the units digit of 0 - (2 - (1 + i))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((137808\/162)\/88)\/(2\/(-6))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1064852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4566039 to the power of 1\/2, to the nearest integer?\nAnswer: 2137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1084, 1\/3, 117, 0, -2, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - 30112200032?\nAnswer: -30112200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 9. Let j = g - -13. Calculate the lowest common multiple of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -75\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-133)\/21)\/(1\/(-18)) is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 49. Let y be 78\/(-8)*(-92)\/v. Let j = y - -74. Which is smaller: j or -2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 10*q + 9. List the prime factors of w(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -104430*x - 2088607. Give l(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*t - 1166 - 9418 = 0. Calculate the remainder when 1222 is divided by t.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.52 times 19307.5?\nAnswer: 125884.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1888*i**2*u**2 + 3*i**2*u + 236311*i**2 - 6*i*u**2 + 3 wrt u.\nAnswer: 3776*i**2*u + 3*i**2 - 12*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i**3 + 29*i**2 - 61*i - 262. Calculate o(-6).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4*g - 5 = 0, -1895*g + 2 = -1894*g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 2080*k**2.\nAnswer: 4*k**2*(k - 520)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + 0*q)*(-3433 - 3408 + 6584) - 1 + 1 + 3*q.\nAnswer: 517*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 103*b**2*k*u**2 + 96*b**2*k - 2*b**2 - 9*b*k*u**2 wrt u?\nAnswer: 206*b**2*k*u - 18*b*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 8 = 0, 5*l + 52*p = 55*p - 31 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 438337*o*q**3 - 2772744*o - q**3 with respect to q.\nAnswer: 1315011*o*q**2 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -172, -346, -510, -658, -784, -882?\n\"Answer: a**3 - a**2 - 178*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1415 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(((1400\/(-126))\/(-10))\/(84\/126))?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1 - 1 + 103*u**2. Let v(h) = -35*h - 20. Let n(w) = -157*w - 90. Let t(g) = 2*n(g) - 9*v(g). Determine t(s(x)).\nAnswer: 103*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(1\/3))*u\/(u\/u**(2\/13)*u)*u*u)\/(u**(-6)\/u**1) assuming u is positive.\nAnswer: u**(305\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5223527*s - 4*o + 45 = 5223528*s, 0 = 2*s - 5*o - 38 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 18403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1cce - -14dc?\nAnswer: 32bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 2:36 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15375 + 64740. What are the prime factors of u?\nAnswer: 3, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 3:06 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -14. Suppose -g - 3*g = -8. Let b = -4 + 4. Solve -s = g*u - b*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -566 + 572. Solve 0 = -4*t + x*t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = 8*t - 284 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 35. Let b be (-38)\/57 + -1 + 8\/x. Let j be (2\/6)\/(4\/60). Sort b, j, -6 in ascending order.\nAnswer: -6, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2848*z - 2838*z - 2842*z + 11353*z - 2831*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*v + 5. Suppose 13*m - 7*m = 0. Suppose -o - 4*o + 115 = m. What is the remainder when o is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 3*t + 102. Let s be w(0). Suppose -m = m + s. What is the second biggest value in 5, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23435 + -13640. Does 35 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4431728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593332370?\nAnswer: 2, 3, 5, 7, 151, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4033, 8029, 12025, 16021, 20017, 24013?\nAnswer: 28009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 54*g = 650. Solve 5*t + 25 = 0, -b + 3*t + 2*t = -g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(110)\/(sqrt(20)\/sqrt(2)*-2)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 16. Suppose 4*p = -16 - v. What are the prime factors of (-306)\/(-7) - 2\/p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3424028 to the power of 1\/2, to the nearest integer?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-6))**(-3)\/(x**5\/(x*(x\/(x*x\/(((x**(-22)\/x)\/x)\/x)*x))\/x)) assuming x is positive.\nAnswer: x**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77570733 rounded to 2 dps?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 27*f + 16. Let n be r(-14). Let m(d) = -2*d - 13*d**n - 11*d**2 + 2*d + 8*d**2. Let p(v) = 2*v. Determine p(m(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((0 + sqrt(363))*2 - sqrt(363)) + (sqrt(363) - (sqrt(363)*1 + -3)) - (2 + (sqrt(12) + -6*-2*sqrt(12))\/sqrt(4)))**2.\nAnswer: -4*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -2*m**5\/15 - 152*m**2. Let d(p) = -3*p + 7. Give s(d(u)).\nAnswer: -72*u**2 + 336*u - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*f*p**2 + 5*f + 32*p**3 + 2*p wrt p?\nAnswer: 16*f + 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5054 + -5050. Sort c, -9, -1, -6 in decreasing order.\nAnswer: c, -1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 950.41?\nAnswer: 19008.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5*-34398\nAnswer: -171990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227225 = -1010*n - 2715*n for n.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h = -39*h + 2294. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51258 times 3?\nAnswer: -153774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a kilogram in grams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1055.95 - -1056. Let f = 1 - -1.6. Let u = 3 - f. Which is bigger: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7 + 2. Let v = 2.1 - 31.1. Let f = v + 31. Which is the closest to -1? (a) f (b) o (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -193*n + 133*n + 336*n + 782*n + 113*n to the form o*n + m and give o.\nAnswer: 1171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5401 is divided by 5397.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -23*3*(0 - (-1 + 0)). Which is smaller: r or -66?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*sqrt(102)*2 + -2*sqrt(102)*-4 + sqrt(102)))\/(3*-2*(sqrt(384) - sqrt(384)*-3 - sqrt(384))).\nAnswer: 19*sqrt(17)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1152161844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 0 (c) 0.0485 (d) -2 (e) -5.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -6, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -10*o - 21 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 979982\/14 - 4\/(-14). Let p = 156 - 168. Let v be p*x\/(-6) - -2. Round v to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005714628 rounded to 4 dps?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - h - 257*h**2.\nAnswer: -257*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 939 - 660. Suppose 3*b - 39 = -5*t + 106, f = 5*b - t. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 451422*a**3*n**3*y**3 - 879*a**3*n*y**3 - a**3 - 2*a**2*n**2*y**3 + 3*a**2 + 24*a*n**2*y**3 - 2*a*n**2*y**2 + 2*n**4*y**2 wrt n?\nAnswer: 2708532*a**3*y**3 + 48*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g = -4*v - 48, 2*v = 6. Let m(x) = 4*x**2 + 2*x - 10 - 3*x**2 - 3*x - 2*x. Let i be m(8). What is the greatest common factor of i and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 - -a6ad8?\nAnswer: a6a9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {o: 3, k: 3, n: 2, z: 4, y: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -10 (b) 1893 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*14\/27552)\/(2\/(-12))?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4\/84 - j**3\/21 + j**2\/14 - 24*j. Factor o(r).\nAnswer: (r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 + -121. Let h = g - -465. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 x when four letters picked without replacement from {b: 7, x: 2, j: 10, m: 1}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = -3*x. Let n be -4 - 2*-19*26\/52. Suppose -44*d + n = b - 42*d, -3*d = -b - 10. Solve 2*y - x = -2*f + b, 3*y = -5*f + 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3\/5 - 42*d**2\/5 + 528*d\/5 = 0. What is d?\nAnswer: -22, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 7*o**2 - o + 21. Let y be k(8). Let c = y - 66. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135*j**4 - 936*j**3 + 2410078*j**2 wrt j?\nAnswer: -3240*j - 5616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -45451.6*-962\nAnswer: 43724439.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:40 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o*o**(-1\/4)\/o*o*o))*o)**1 assuming o is positive.\nAnswer: o**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) + sqrt(76)\/sqrt(4) + -4) + -2 + (1*(sqrt(304) + 2))**2*-1.\nAnswer: -314 - 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -216\/179 - -201022\/166291. What is the biggest value in -4, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*r + 47058 = 85*r. What are the prime factors of r?\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**7\/42 + p**6\/30 + p**5\/10 - p**4\/6 - p**3\/6 + p**2\/2 - p. Solve l(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, s: 2}. Give prob of picking 1 i and 2 s.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11921*o = 11836*o - 935 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.2. Suppose 5*m + 4*b = 9 - 6, 8 = 4*b. Let c be (1\/6)\/(1\/4). Sort i, c, m.\nAnswer: m, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28224 + 336?\nAnswer: 28561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8799426 millilitres to litres.\nAnswer: 0.0008799426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 631 + 631 - 77*z as b + w*z**2 + l*z and give l.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -26*x**3 - 3*x**2 - 2*x + 4. Let s(t) = -17*t**3 - 3*t**2 - 2*t + 3. Let f(b) = -2*m(b) + 3*s(b). Suppose 0 = 2*z - 3*z + 3. What is f(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*((-1066)\/(-5) - -3). Let u = -217 + d. Let p be (-2 - 0 - -3)\/(-4). Which is the biggest value? (a) u (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.415296 rounded to three decimal places?\nAnswer: 1.415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 - 3*s + 3*s + 3*s**4 + s**4 - s**4 + (5*s**2 - 2*s**2 - 4*s**2)*(-6*s + 13*s + 4*s)*(-9 - 7*s + 9).\nAnswer: 79*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -16*v**2. Let g(w) = -21*w - 15. Let l(f) = -2*f**2 + 10*f - 12. Let c be l(5). Let x(y) = 52*y + 36. Let s(d) = c*g(d) - 5*x(d). Calculate s(j(b)).\nAnswer: 128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1297093*f**2 - 1222102*f wrt f.\nAnswer: -2594186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-234)\/(-3) - (0 + 3). Let l(r) = r**2 - 6*r + 4. Let f be l(6). Suppose f*t - v = -11. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 2*r - r**2 + (6*r**2 + 17*r**2 - 10*r**2)*(7 - 2 - 3) + r**2 - r**2 - 2*r**2 - 2*r**2 + 3*r**2 - 2*r**2 + (-r + r + r)*(-4*r + 3*r - 2*r).\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2630306438 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(-1*1*sqrt(68) + sqrt(68) + sqrt(68) + (sqrt(68) - (sqrt(68)*2 + sqrt(68)))*4 + sqrt(68) + sqrt(68))\/(sqrt(8)\/sqrt(18)*-1).\nAnswer: -90*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x + 4*x - 6*x. Let o(y) = -18*y. Let f be (-3*8\/(-6))\/2. Calculate f*o(d) + 7*s(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(((-50)\/(-8))\/(-5))*25. Let x = q + 19. Is -5\/36 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 16, i - d = 2*d - 9. Suppose n - i*n + 142 = 0. Let s = n - 51. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/3)\/2)\/((-4)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 9:38 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4726 and 1258.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 3*b**2 + 5*b + 3. Let k be c(-4). Let g = k + -58. Solve -g*r + 0*j + 4*j = -20, 0 = -3*r - 3*j + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1625 - -7623. List the prime factors of c.\nAnswer: 2, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 57. Let f = 2788.2 - 2788. Sort t, 1, -1\/3, f.\nAnswer: -1\/3, f, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1424 and -15?\nAnswer: 2.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 31, 47, 63, 79, 95?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 823 - 823.3. Let j = -2960\/7 + 424. Which is the second smallest value? (a) j (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -50*h + 4200. Calculate m(86).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015482 to 6 decimal places.\nAnswer: 0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.07 + -0.33. Let d = -13.19 - m. What is d rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26*2*36645\/(-20940)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 10*o + 8*m, 5*o + 87 = -2*m + 116 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 10) in base 16?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143*((-278960)\/3575 - -78).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 13*j - 34. Let z be 114\/6*44\/(2*1). Let r = z + -403. Give s(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 5\/2*c**3 + 0 + 9*c**2 + 1\/60*c**5 - 1\/12*c**4 + 0*c. What are the prime factors of v(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -26\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 170 + 1030. What is the highest common factor of 48 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8)*(-8)\/(-3). Let g = 4.0565 - -0.0135. Let b = 0.07 - g. Put o, -0.4, b in ascending order.\nAnswer: b, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 65. Let f be 76\/19*(-1 - (j - 34)). Factor -n - 141*n**3 + 3*n**2 + f*n**3 - n**2.\nAnswer: -n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13044514054 + 2?\nAnswer: 13044514100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*x + 15 - 15)*(5 + 5 + 10) - 4*x + 0*x + 5*x + x + 0*x + 0*x to h*x + q and give h.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3666247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4059026 millennia in years?\nAnswer: 405.9026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbubuuubbgbuubuub. Give prob of sequence gu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21888*0.3.\nAnswer: 6566.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from llllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -786938 (base 10) to base 14.\nAnswer: -166adc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408530 - 4*g**3 + 408530 - 37*g**3.\nAnswer: -41*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2000\/11 - -182. Which is the third biggest value? (a) 0.3 (b) j (c) 2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-22)*(-30)\/(-420)\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -30, -3, 2322 in ascending order.\nAnswer: -30, -3, 4, 2322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7683, 7808, 7951, 8124, 8339, 8608, 8943?\n\"Answer: 2*u**3 - 3*u**2 + 120*u + 7564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 692613 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 84 = 3*c - 5*z, 69 = -c + 2*z. Which is smaller: -60 or c?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2 + 2 - 7 - 7 + 3*z. Let u be a(8). Calculate the highest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 61777596*b + 318039280628268.\nAnswer: 3*(b + 10296266)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1)\/((-6)\/(-8))*34\/8\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**5\/150 - 137*d**4\/60 + 134*d**3\/5 - 4*d**2 + 246*d. Let w(m) = 0. What is m?\nAnswer: 3, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 477 - 466. Calculate the remainder when 131 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**4\/9 + 27980*q**3\/9 = 0?\nAnswer: -13990, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 540*f**5 - 477*f**2 - f - 6615. Find the second derivative of g(a) wrt a.\nAnswer: 32400*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 37?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 35. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4084.87 minutes in milliseconds?\nAnswer: 245092200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277.8 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 23 - 153. Suppose -30 + i = -l. Suppose -l*u + 11 = -33. Calculate the greatest common divisor of u and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 5*s + 2. Let o be c(-5). Suppose -2*k + 10 + o = 0. Let w(z) = -19*z - 3. What is the remainder when w(-1) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4469602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 11:50 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 7 + 17 + -14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 6 = 14*b - 11*b, -b = 3*z + 16 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + 0*l**2 + 2 + 7*l**2.\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqjjttjdjjawjwajjt. What is prob of picking 2 a?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35\/15 - (-10)\/(-30). Solve -5*m + 3 - 4 = -y*b, -b + 3*m = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(5))*6 - (4 + sqrt(5)*2*-3).\nAnswer: -6*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, -1556, 3, -4 in descending order.\nAnswer: 3, -2, -4, -11, -1556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 248, -1\/6, -0.9, -2\/3, 1, 10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44500 + -24?\nAnswer: 44443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/((-6)\/12). Suppose 3*x = -2*a - 0*a, a = 2*x + 7. Sort 2, p, x in ascending order.\nAnswer: p, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1698824 to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3882\/9 - -2)*-93. Round s to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1593961115 to the nearest integer?\nAnswer: 39924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - 21.99. Let i be 4\/(0 + -1) + 4 + 60. Let j be (-1 - -3)*30\/i. Are j and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/13)\/n)\/n*n**(-14) assuming n is positive.\nAnswer: n**(-206\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -268 + 730. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*x = 15, -1552*i - 2*x = -1557*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(5\/6)*t\/t**(-2\/21) assuming t is positive.\nAnswer: t**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -5. Let l = -0.1 + 0.1. Let d = -0.375 + 0.175. What is the second biggest value in l, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - z - 3*z + 3016 = 0, -z = 5*b - 3786. Let u = b + -1264. What are the prime factors of (-2)\/(u\/(-170) + -3)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 450225904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 468030760 a multiple of 2923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5306, -5303, -5300, -5297?\n\"Answer: 3*c - 5309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1124, -895, -4252, -8941, -14956?\nAnswer: -22291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.5. Let t = 3.02 + -4. Let i = t - 0.02. Which is the closest to -0.1? (a) i (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*v = -156, -u - v + 32 = -2*v. Suppose x - u = 5*x. Is 3 a factor of ((-6)\/(-7))\/(-1)*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = -8. Suppose r*j + m - 2 = 24, -2 = -m. Let o be (-2)\/(-2 + (-6)\/(-4)). Solve -n + 9 = o*b, -j*n - 15 = -n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39\/31 or 2?\nAnswer: 39\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -11*k**2 - 11*k**2 + 16*k**2 + 3*k**2. Let s(m) be the second derivative of -m**3\/6 - m. What is f(s(y))?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/(-70))\/((-2)\/(-5)) - (-206205)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -11 + 2. Let n(f) = -3*f**3 - 5*f**2 - 3*f - 1. Let s be n(u). Suppose -4*v + s = 4. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215215 and 30186?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 36077 - 7166. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 1. Let h = -1 - -6. Suppose 3*m - r = 5, -h*m - 2*r = -3*m - 6. What is the units digit of q(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 19 = -k, 53 = 10*h - 8*h - 5*k. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 240, 271, 316, 375?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -5308.\nAnswer: -5300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.81551 months in years?\nAnswer: 24.4012925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 820686, 1641369, 2462052, 3282735?\nAnswer: 4103418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 13628917493 from -0.11.\nAnswer: -13628917493.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -4*x - 2*u - 32, -52 = -3*x + u. Let o be (-54)\/(-70) - x\/(-63)*-2. Which is the nearest to 1? (a) 3 (b) o (c) 0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 10 + 365. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + (2*sqrt(450) - sqrt(450)) + sqrt(450) + -3 + (-2*sqrt(450) - sqrt(450))))**2*-3*5.\nAnswer: -168750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1976044 and 889.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*u**2 - 233*u**2 + 258*u**2.\nAnswer: 778*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/((-114)\/(-4)))\/(1\/(2\/4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 779427780 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i + 16 = 0. Is 2\/(606\/(-153) + i) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2391, -2443, -2491, -2535?\n\"Answer: 2*r**2 - 58*r - 2335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -434 - 3?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 7 + 4*j**3 - 11 - 4*j + 2 + 0. Let w(y) = -3*y**3 - 3*y**2 + 3*y + 15. Let v(k) = -6*i(k) - 7*w(k). Factor v(l).\nAnswer: -3*(l - 3)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9679.736 millimeters to micrometers.\nAnswer: 9679736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 2\/21*i**7 - 2 - 2\/3*i**6 + 11*i + 4\/5*i**5 + 0*i**4 + 0*i**3 + 0*i**2. What is u in h(u) = 0?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**3\/3 + 4*b**2 + 18*b - 482. Give k(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 286*w**4 + 181*w**3 - 870692*w**2 wrt w?\nAnswer: 6864*w + 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 745?\nAnswer: 3\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 22804, 6 in decreasing order.\nAnswer: 22804, 47, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.072750602 to 3 dps.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 33668300\nAnswer: -3\/33668300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148401 = -12615*m - 766536 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (7 - (6 + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/530 and -44\/8957?\nAnswer: 89570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 18622?\nAnswer: 18623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 68. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 54*t**4 - 1 - 3*t + 6*t + 13*t**2 + 140*t**4 - 13*t**2 in the form i*t + w*t**4 + s*t**3 + q*t**2 + a and give w.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1658 - -1658.5. What is the smallest value in 8\/3, j, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 232 - 231.5. Let k = -1.4 + -0.6. Let s = 2.9 + -0.9. Which is the nearest to -2? (a) s (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a - 45 = 0. Let p = 13 + a. Suppose 61 = 5*n - p. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 180 = -17*p. Let i be 12\/p - 2\/3. Suppose -t + 5*t - 20 = i. Solve 34 - 9 = t*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t**2 + 8*t. Let i be b(-7). Is i\/9 + (-4)\/6 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + 7.1. Suppose n = 2*n - 3*p + 40, 5*p = 0. Let v = -41 - n. What is the fourth biggest value in 4, -0.5, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(3*w - 3*w + 2*w)*(-10*w**2 - 10 + 10).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3145 divided by 558?\nAnswer: 3145\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -1.08036?\nAnswer: -1.08036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.55 - -20.54990908. What is s rounded to six dps?\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 13 - 23 = -2*y, -7 = -l - 3*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1326351 or -5305399\/4?\nAnswer: -1326351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248779 is divided by 124387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10482806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -336, -729, -1358, -2289, -3588, -5321?\nAnswer: -7554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2980\/17 - -23711\/102. Let o = 58 - c. Let b = 1857\/65 - 504\/13. Find the common denominator of b and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4516 + 2240. List the prime factors of j.\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14498 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-48) + 19*(-2)\/16. Let v = -8 - -5. Let k = v + 1. Is k > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - m + 0)*(m + m - m)*(499 - 133 + 532) in the form r + n*m + t*m**2 and give t.\nAnswer: -898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*f - 3. Is (f - 3)*158\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**(-29)*(t**(-3))**(-46) assuming t is positive.\nAnswer: t**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 857*f - 273. What are the prime factors of m(4)?\nAnswer: 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 534341 (base 7) in base 15?\nAnswer: 1c75b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307120 is divided by 451.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/((h**(-5)*h*h)\/h))*h*h\/h**(-1)*h**(-3\/4)*(h*h\/(h*h**(-3)\/h))\/h assuming h is positive.\nAnswer: h**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1474, -2814, -4108, -5332, -6462, -7474, -8344?\n\"Answer: 4*m**3 - m**2 - 1365*m - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h - 14. Let l(t) = 2*t + 5. Suppose -68*o + 452 = -296. Determine o*l(r) + 4*x(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 2*g**2 - 3*g + 3. Let p be v(-3). Let s = p + 563\/17. Sort s, 8, 1\/2 in descending order.\nAnswer: 8, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-7)\/((-7)\/2). Let x be (-2)\/7 + 153\/21. Calculate the greatest common divisor of h and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**4\/12 - 17*j**3\/6 + 451*j. Let o(i) = 9*i. Calculate p(o(g)).\nAnswer: -81*g**2 - 153*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2064*i**3 + 32*i**4 + 2065*i**3 + 0*i**4 + 2*i - 2*i**2 + 1 as c + t*i**3 + h*i + a*i**4 + k*i**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 5*f - 1. Let k be l(4). Let s(o) = 4*o**2 + o - 2. Let h(v) = 3*v**2 + 2*v - 3. Let m(r) = 3*h(r) - 2*s(r). What is m(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkg when three letters picked without replacement from {k: 1, r: 7, g: 1, v: 7}.\nAnswer: 1\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 + 5*y**2 - 5*y + 3. Let f(x) = -x**3 + x**2 - x + 1. Calculate 5*f(m) - z(m).\nAnswer: -2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 0*r**2 + 0*r - 3*r)*(3*r - 2*r + 0*r) + (r**2 + 0*r**2 + 5*r**2)*(-3*r - 2*r + r).\nAnswer: -21*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/(-1320)*40\/(-2)*-15\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 68 = c, 0 = 3*v + 51*c + 194 - 92 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 386 - 144. Let g = 1168\/11 + z. Which is the second smallest value? (a) 1 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1216) + -5 + 5 - sqrt(1216) - (3 + sqrt(1216)*-2)) + 2)*5 + -5)**2.\nAnswer: -64000*sqrt(19) + 3046400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -14*a - 93. Let l be y(-7). Let u be l\/((-30)\/(-54)) - 6. Solve -3*q - 4*n - 3 = 0, -2*q - u*n - 2 = -0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -14*y. Let l be v(-1). Suppose r - 7 = l. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 24. Let i be a(7). Let h(p) = i*p - 3*p + 6*p. Let r(m) = 2*m. Let u(d) = 2*d. Let f(n) = 4*r(n) - 3*u(n). Give h(f(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2925)\/(-6))\/(-65)*(-6244)\/6 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8662 and 19\/7.\nAnswer: 60634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in 3\/7, 0.1, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*(w\/((w\/w**4)\/w))\/w)**6*(w**1)**(-35)\/(((w*w**(1\/2))\/w)\/w*w*w**3\/w) assuming w is positive.\nAnswer: w**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309177 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -485\/723 + 1\/241. What is the third biggest value in 0.1, i, 3\/230?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 693\nAnswer: -2\/693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from kkkkkukkd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -350342228\/75645 + -5\/15129. Let v = o - -4655. Which is smaller: 25 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 6. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 3279405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = 15*z + 4822. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 12 - 27 = -2*q, -2*z + 2 = 0. Let k(l) = 5*l - 3. Let j(c) = -9*c + 5. Let d(o) = 6*j(o) + 11*k(o). Let n be d(6). Solve -n*a - q = -2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - d**2 + 2*d + 4. Let o be a(0). Suppose -3*m + 90 = s, -2*s - 176 = -o*s - 5*m. Find g, given that -94*g - 4*g**2 - s*g + 136*g = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 9:14 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155 - -158. Let u = 2 - 2. Solve -5*n - 18 + o = u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(73\/((-4964)\/1394)).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -18. Suppose z*m - 3 = h + 3, h = m. Calculate the greatest common factor of 5 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -998905 from 20.4.\nAnswer: 998925.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 3*x - 4. Let n be t(-5). Let k be (2 + -5)\/(3\/n). What are the prime factors of 12\/(-18) - 61*4\/k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) 39535\/11 (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 586\/17, 5, -11, -4 in increasing order.\nAnswer: -11, -4, 5, 586\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -2)*6 + sqrt(684) - sqrt(684) - -2*1*sqrt(684).\nAnswer: -12 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172 (base 9) in base 5?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -24, -136\/21, -2\/13, -5, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*d**3*q**3 - 3*d**3 + 1313*d**2*q**2 + 354*q**6 wrt q.\nAnswer: 324*d**3 + 42480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 7*d**2 - 4*d - 8. Let f be r(7). Suppose 50 = 4*w + 190. Let u = f - w. Put 6, u, 0 in ascending order.\nAnswer: u, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.6 + -3.8. Let y = j + 0.2. What is the closest to -2\/7 in -0.5, y, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((4 - 6 - -3) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - 3*c**2 - 3*c**2 + (-2*c + 2*c - c)*(c + 3*c + c) + 3*c + 2 + c**2 + 3*c - 5*c in the form v*c**2 + m*c + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pool when four letters picked without replacement from {p: 6, o: 3, l: 4}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*16\/24*3\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 3*w, 6*s - 3*s - 2*w = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 1*sqrt(700) + (2 + sqrt(7)*-4)**2)*1.\nAnswer: 4*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 - 20 = -d, 72 = 4*d - 5*z. Solve -m = 5*o - 4*m + 4, -4*m = 5*o + d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -220, -214, -208?\n\"Answer: 6*r - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101111011111 + 10101011111?\nAnswer: 101000100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 4*x + 2. Let g be f(4). Suppose 3*o - g*o - 2 = 0. Are 1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/8 + 7*b\/8 - 147\/2 = 0. What is b?\nAnswer: -28, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*j - 444, -j + h = -5*j + 601. What are the prime factors of j?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/4)\/(((-315)\/10)\/(-21)). What is the nearest to 4 in 2\/15, 6, a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4402744991 and 581.\nAnswer: 4402745572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9335.9 + 1566.5194?\nAnswer: -7769.3806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1919145 and 485.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -466.915699 to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 181 + 178 + y**2 - 359. Let j(s) = -4*s**2 - 28*s. Calculate i(j(c)).\nAnswer: 16*c**4 + 224*c**3 + 784*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by (-234)\/(-10) - (-12 + 1116\/90)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2977983 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 2:51 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010010011000 (base 2) in base 15?\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14445 and 1284.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4740.2954 and -339924.\nAnswer: -335183.7046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10361*g - 5611*g + 2774*g to m + q*g and give q.\nAnswer: -13198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/7 and 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 7:37 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9823.303*-8\nAnswer: -78586.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 924053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/109 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 420827*l**3 + 210934*l**3 - l + 209892*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -19) + -3 + 3. Let j be (-100)\/u*(-81)\/6. Calculate the highest common divisor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g - 97556 = -97524 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015284?\nAnswer: 2, 3, 19, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 - 110\/(-6). Suppose 4*s - 5*y = s + j, -y - 9 = -s. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(147) + 0)*5 + 5)*1)**2 + 3 + 0.\nAnswer: -700*sqrt(3) + 14728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66974\/9 + -7449. Calculate the common denominator of 91\/328 and r.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (167*b - 54*b - 57*b + (-b + 4*b - b)*(2 + 0 - 1))*(2*b + 1 - 1).\nAnswer: 116*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**2 - 1713*u + 6900 = 0.\nAnswer: -575, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 9:47 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)*2 + sqrt(336) - sqrt(336))\/sqrt(8))\/sqrt(6).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1540)\/(-728)*(968\/(-55))\/22.\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**2 + 0 + 0)*(-907 - 138 - 2167) to the form i*n + m*n**2 + l and give m.\nAnswer: 6424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.89 and -697?\nAnswer: 620.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*y - 17, -23 = -5*o + 4*y - 0. Suppose 86 = r - o*i, -5*r + 2*i - 515 = -10*r. Does 54 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -20528433866645.\nAnswer: -20528433866645.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8461*n**2 - 1593*n - 7. Is c(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 1 = -j. Let o = 71 - 41. Let n = j + o. Solve n*y + 16 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45.6 + 46. Let f = -6 - -5.7. What is the closest to f in u, -5, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 5*p + 4. Let o(v) = v**2 + 3*v - 2. Let h(d) = -2*c(d) - 5*o(d). Let w(y) be the first derivative of h(y). Is 15 a factor of w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*s**2 - 23*s**2 + 73*s**2)*(1 - 1 + 3*s + (-1 - 1 + 1)*(4*s + s - 3*s) + 9*s + 2*s - 4*s).\nAnswer: 920*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29834264039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 2*z + 1. Let v be i(-3). Let w = 1 - v. Let o = 2.02 - 0.02. Which is bigger: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/99*84\/4. Let c = -14632 + 14629. Is s < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5216 is divided by 168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143312 + 11031?\nAnswer: -132231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 8) to base 6\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 49.4. Let h = -4 + j. Let s = h - 2.3999951. Round s to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -10*m**2 - 9*m + 9. Let u(f) = 4*f**2 + 4*f - 4. Let i(d) = -4*t(d) - 9*u(d). Let z(o) = 16*o**2. Determine i(z(s)).\nAnswer: 1024*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.302269887 take away -4?\nAnswer: 29.302269887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.68 - -0.6. Let l = -20 - -19.9152. Let f = l - o. Round f to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11 + 9 + 8*f**2 + 8*f - 4*f - 1. Calculate the remainder when h(2) is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.35 - -4. Let m = h + 0.05. Let d = m - -3.6. Round d to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 40*a**2 - 30*a - 90. Let s(d) = d**2 - d - 3. Let h(n) = 30*s(n) - u(n). Let q(k) = -78*k. Determine h(q(o)).\nAnswer: -60840*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2 - 8047140*z + 3237823108980 = 0.\nAnswer: 804714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-9) - 29\/((-406)\/56))*315\/(-18)?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8730 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:56 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/9776 and 31\/529737.\nAnswer: 8475792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2711640256?\nAnswer: 2, 13, 3259183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(56\/21) + (-896)\/(-2). Suppose 44*o - 3135 = -h. Calculate the remainder when 304 is divided by o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, u: 16}. What is prob of picking 2 u and 2 a?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 19360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - k + 4. Suppose -o = -5*o. Let g be h(o). Solve -4*d + 24 = 4*i - 2*d, -4*i - g*d = -32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t. Let y(v) = -v + 2*v + 0*v + 11 + v**2. Let g be y(0). Let j(f) = 0*f - 23*f + g*f. Determine w(j(p)).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5882 and 30389353.\nAnswer: 2941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20151 divided by -4?\nAnswer: 20151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 24*v + 55. Let w be a(26). Let g(t) = 12*t**3 - t**2 - t - 7. What is the units digit of g(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 - 2*k**2 - k**2)*(-118 + 284 - 2*k - 684) in the form t*k**2 + i*k**3 + m + p*k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16709 - 183801\/11. Put -335, 3, 2\/9, -4, t in descending order.\nAnswer: 3, 2\/9, t, -4, -335","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 164*o**2 + 14*o**4 + 136*o**2 + 6*o**3 + o + 5*o**3 - 102*o**2 wrt o.\nAnswer: 336*o + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*m + 3*m. Suppose 7*f = 12*f - 10. Let w be f - (24\/14 - -1). Sort -0.1, w, m in ascending order.\nAnswer: w, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o + 2*o + 0*o. Let r(q) be the third derivative of q**6\/360 + q**4\/12 - 2*q**2. Let n(h) be the second derivative of r(h). Determine m(n(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let q be i(-5). Let w be (-6)\/24 + q\/(-4). Does 11 divide (-44)\/(-2 - 2)*w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -2*b + 22, -13*b + 4 = -9*b - 4*a. Let y(t) = 11*t**3 - 3*t**2 + 3*t - 3. Let z(n) = -12*n**3 + 4*n**2 - 4*n + 4. Give b*z(d) - 4*y(d).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -210, 37 in descending order.\nAnswer: 37, 1, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 11 + 19*u + 8)*((-2 + 3 + 1)*(0 + 0 - 2) - 3 - 2 + 4).\nAnswer: -95*u + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + (-24)\/8)\/(-1). Solve 2*u + 4*u + 18 = l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 + -34 - -26) + (-129)\/12.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 730 and 10630.\nAnswer: 775990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -53*x + 62. Calculate a(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -418*a**4 - 5*a - 7 wrt a.\nAnswer: -5016*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 359861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 1125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 239347 less than or equal to 239372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**5 + 13824*x**4 + 68*x**3 - 234864*x**2 - 497584*x - 276480 = 0.\nAnswer: -2, -1, 5, 3456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**4\/4 + a**3\/3 - a**2\/2 - a + 106. Let l(i) = -8*i**3 - 10*i**2 + 10*i + 10. Let d = 17 + -7. What is d*f(t) + l(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*r - 33*r + 6*r**2)*(2*r**2 - 1 + 1)*(46 + 33 - 2).\nAnswer: 924*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1167 and 208479493?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.058 - 0.11. Let n = k + -0.348. Do n and -2\/33 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2210463129?\nAnswer: 3, 7, 67, 727, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -23. Let b = 34890501.00000132 + -34890492. Let d = b - l. Round d to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((16\/(-88))\/((-2)\/66*6)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**5\/30 + 5*a**4\/12 + 11*a**3\/6 + 2*a**2 - 662. Give s(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02702766 and 78.\nAnswer: 78.02702766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 52*h - 244. Let f be t(6). Find the first derivative of 7 + 47*o**4 - 58 + f*o**4 wrt o.\nAnswer: 460*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - 12*b - 4 + 4*b + 6*b. Let s(j) = 2*j - 3 - j - 2*j**2 - 3*j. Calculate 2*i(k) - 3*s(k).\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -97, -81, -55, -13, 51?\n\"Answer: v**3 - v**2 + 12*v - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Suppose -r*z + 18 = 2*t - 4*t, 0 = 2*z - 4*t - 20. Suppose -m + 0*m = -u + 6, -u + z*m = -8. Solve 5*a - 2 + 7 = 3*l, -a = -u*l - 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57466 is divided by 1361.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*x)*(-4*x + 4*x + 14*x**3) - 756*x**3 - 32*x**4 + 755*x**3 - 13 + 11 as d*x**3 + o + i*x**4 + f*x + p*x**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 116403.\nAnswer: 465612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 38. Suppose 4*w - 2*p + 7*p = 25, -35 = -5*w - 5*p. What is the smallest common multiple of w and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:24 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 1c39?\nAnswer: 1c38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2408989 to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 28*b**2 - 12*b - 32. Let w be j(-5). Suppose 13*k = 5*q + 11*k - w, -2*q = -3*k - 289. What is the remainder when q is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 2*z**2 - 3*z - 1. Let g be r(-2). Suppose 0 = g*k + 3 - 13. Let y(d) = -d + d + 0*d - 3*d**k. Let x(f) = -2*f. Determine y(x(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*o - 566 - 3181 = 4028 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*t = -449 - 139 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20 = 0, -2*q = 2*a + 1 + 1. Let s(t) = -t**2 - 7*t. Is 5 a factor of s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**6\/360 + u**5\/12 + u**4\/3 + 11*u**3\/6 + u**2. Let p(s) be the first derivative of n(s). Does 17 divide p(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4147 minus -0.2?\nAnswer: -6.2147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/15 - 2*r**2\/15 = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v**2 - 5*v + 1. Let i be (46\/2)\/((-2)\/(-2)). Let d = 388 - 364. Let c = i - d. Let x(u) = -u**2 - u. What is c*t(a) + 5*x(a)?\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**2 + 6*o - 3. Let s(g) = -2*g + 5. Let k(n) = -n. Let j be k(-7). Let f = j + -10. Determine f*t(p) + 4*s(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3075 or 3154?\nAnswer: 3075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 745508.\nAnswer: 2236524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9349*w**2 - w**3 - 255*w**2 - 64*w**2.\nAnswer: -w**3 - 9668*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8302992 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5 = 4*o + 22, f = -4*o - 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7992 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23447011 to the nearest integer?\nAnswer: 4842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 6*y**2 - 6*y - 2. Suppose -x = -0*x - 5*f - 4, -2 = f. Let o be n(x). Is 5 a factor of o + (-4)\/6*(-12)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10437 is divided by 1737.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -26*j + 341. Determine c(0).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*r + 8. Suppose 3*g + 0*g = 5*c + 29, -2*g + r*c + 26 = 0. Suppose -n - g*m + 10 = 0, 5*n = -3*m - 2 + 52. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28 + -3 - -1)\/2. Suppose 0 = -5*b + 22 + f. What is the remainder when b is divided by (7 - (1 + 1)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 1986.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 0. Suppose 3*r = -3*i - 1 - c, -i + 4 = 4*r. Suppose -5*q + 3*w + 0 = -6, 0 = r*q - 2*w. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -7*v + 4*v. Suppose -h + v*h - 84 = 0. Let q be h\/5 + 4\/(-10). Solve -t = 4*t + n + 9, 0 = 2*t - 4*n + q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 6f8999?\nAnswer: -6f89a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1134 = 2466. Calculate the common denominator of 4794\/a + (2 - 6) and 49\/4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/36 - 215*k**3\/18 + 422*k**2\/3 - 538*k + 10. Factor s(p).\nAnswer: (p - 211)*(p - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/(x\/(x\/(x*((x*x**2\/x*x)\/x)\/x))*x))**(5\/2) assuming x is positive.\nAnswer: x**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 6. Suppose 14 + 21 = 5*n. Let r be j(n). Suppose -r*q = -14*q + 102. Calculate the remainder when 134 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 2*c**6\/15 - 31*c**5\/5 + 99*c**4 - 1210*c**3\/3 - 5324*c**2 + 3*c - 22. Factor t(l).\nAnswer: 4*(l - 11)**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 928 + -243278?\nAnswer: -242350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 13*g**2 + 9*g + 14 - 22 + 17. Let i(r) = -6*r**2 - 4*r - 4. Calculate 4*b(u) + 9*i(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 16364080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8671 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 10*d**2 - 148*d + 1312. Let m be o(8). Let a be (2 - 4\/2) + 2. Solve -a*s = -m*s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 - 71. What is the nearest to -0.2 in 3, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -467 and -177018557609.\nAnswer: -177018558076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44, -281, -676, -1229, -1940, -2809?\n\"Answer: -79*v**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 2. Let y be (5*2)\/(1 + -2). Let j be (8\/(-10))\/(2\/y). Put k, j, -3 in decreasing order.\nAnswer: j, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 0 + 2. Let i(q) = p - 4 - q**2 + 3. Let a(b) = 12*b**2. Let y(m) = m**2. Let s(v) = -2*a(v) + 22*y(v). Give i(s(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 76 - 2*a**3 + 3998*a**2 - 2011*a**2 - 1993*a**2 to the form m*a + l + q*a**3 + p*a**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/(105\/2))\/((-2)\/(-40)). Let q be ((-3)\/(-15) + (-10987497)\/(-15))*x. What is q rounded to the nearest one hundred thousand?\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5 + 1 = 4*y, -2*y = 2*k - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(77) + (sqrt(77) - 1*sqrt(77)*4 - sqrt(77)))*-3)\/(4*(2*sqrt(11)*3 - sqrt(99)\/sqrt(225))).\nAnswer: 135*sqrt(7)\/58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 26, 2352 in decreasing order.\nAnswer: 2352, 26, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 520\/270 - 226\/3051?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, m: 1, s: 10, a: 1}. Give prob of sequence smsa.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 2*q + 8 + q + 0*q. List the prime factors of v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 - 446*a**3 + 2 + 4*a**2 + 241*a**3 + 3*a. Is o(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f - 2. Let q be y(-1). Suppose 3*g = -3*p + 42, 5*g - 30 = -q*p + 32. Let h = g - -4. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(35)\/sqrt(5) - sqrt(7)) + 0) - sqrt(35)\/(sqrt(15)\/sqrt(3))*-6)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(847) + 4)*1 - (1 + sqrt(252) + 0 + -2 + 4).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*y - 3 + 12, -5*y = 5*o - 10. Let f be (4 - o)*7 - -5. Let b(q) = -q**3 + 14*q**2 - 25*q + 17. Let p be b(f). Solve p*t + 6 = -4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 27 = -31. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 17\/40036 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 35*p**4\/3 - 620*p**3\/3 - 27515*p**2\/3 + 20120*p\/3 + 2660 = 0.\nAnswer: -21, -2\/7, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + h**2 - h**2)*((1 - 7 + 1)*(3 + h**2 - 3) - 5 + 2*h**2 + 5).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 161850 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3065*u**4 - 1642*u**2 - 2333*u**2 + 797*u**2 wrt u?\nAnswer: 73560*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/((-172)\/(-3096))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -0.091, 4, -2\/15, 1\/5.\nAnswer: -2\/15, -0.091, 1\/11, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 335*c + 127816. Determine s(-381).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-8)\/(-3)*(-233)\/(-12116)*(-9)\/12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00181 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 3*c + 52 = 0. Is c greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (34 - ((4 - 8 - 7) + 16)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14454404 (base 7) to base 4\nAnswer: 11033223200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 843124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1632)\/180)\/(-34))\/(12\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 415 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q + q)*(-7 + 7 - 2*q - q + q + q + (-3*q + q + q)*(2 - 1 - 2) + 4 - q - 4 - 6*q + 5*q - q - q - 3*q + 5*q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 7 - 1)*(-10*s + 23 + 9*s + 0*s).\nAnswer: 14*s - 322","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 27*t - 5379 = 0. Let z = -151 - t. Solve 0 = 4*x - 2*f + z, -4*x - f + 5*f - 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 3:36 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 10:08 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 9538, 2, -7 in decreasing order.\nAnswer: 9538, 2, -7, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/2*-2 - (8 + -16). What is the third derivative of -f**x - 56*f**2 + 67*f**2 + 0*f**3 + f wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 710456733 = 239256733. What is c rounded to the nearest one million?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 25\/14599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 141*s**2 + 9*s - 19. Let x(l) = -281*l**2 - 21*l + 38. Give 7*a(t) + 3*x(t).\nAnswer: 144*t**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 17*l - 272 = 0. Suppose 0 = -4*o - 3*h + l, -h + 2*h = -o + 17. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a**3 + 3*a**2 - 2*a - 5. What is g(-2)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 376650551 or 376650549?\nAnswer: 376650549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -182 + 284. List the prime factors of u.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 + 122. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k = 21748 + 18946 - 12701. What is the remainder when 1350 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1260 >= -1261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 + 2*x**5 - x**5 + (-2*x**4 - 5*x**2 + 5*x**2)*(x + 0*x + 3*x) - 12*x**5 - 2*x**5 + 0*x**5 + (2*x**2 - 3*x + 3*x)*(3 - 2*x**3 - 3).\nAnswer: -25*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -27.52295*-187\nAnswer: 5146.79165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c98 - 1e7?\nAnswer: -1e90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22 (b) 4\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + 18 + 3*l**5 + l**2 - l + l - l**5 + (-4*l**4 + 0*l**4 + 2*l**4)*(-2*l - 3*l + 3*l) + 6*l**5 - 14*l**5 + 5*l**5 + 3*l - 3*l + 2*l**5.\nAnswer: 5*l**5 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - y + 3*y - 3*y - 2*y - 2*y + 5*y - y + y - y - y + (3 + 2 - 7)*(-4*y + 3*y + 3*y) + 1 - 2*y - 1 + 0 + y + 0.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qggqgvg. Give prob of picking 3 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (523 + -488)\/(21\/(-9))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2867623 + 2867623 - 10347*m to the form b + n*m and give n.\nAnswer: -10347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5 times -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 8*g + 9. Let v be t(6). What is the smallest common multiple of v + 4 + 17 + 4 and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 8*y + 22. Let l be s(-5). Let n = l - -4. Is 15 a factor of n + -13 + (74 + 2 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14465, 28932, 43399, 57866, 72333, 86800?\n\"Answer: 14467*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -262303 divided by 2?\nAnswer: -262303\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 831*h**2 - 2*h + 119*h**2 + 2*h.\nAnswer: 950*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 15 = 2*p + 5*y, 5*p - 5*y - 35 = 0. Solve p*m - 3*m = 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 10\/(-2 - 0). Let d be (3\/(-6))\/1*w. Suppose -14 = -4*k + d*k. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 1:01 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**(-1\/8))**(-4) assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*r - 49200000, 2*y + 0*y = 0. Round r to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(6\/3) - 4. Let i(s) = 4*s - 2*s + 2 + 0 - n. Let o be i(8). Solve 3*p - 8 = -0*p - 4*u, 5*u + o = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 86.4 from -4798166.\nAnswer: -4798252.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)\/b**(-1\/7)*b\/(b\/(b\/(b\/(b*b*(b*b*b*b**(2\/5)*b*b)\/b*b))))*b**0 assuming b is positive.\nAnswer: b**(159\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -2. Let r be (30\/6 - -2) + 7. Suppose g = -3*w + r, 4*w + 3*g = -w + 26. Solve -9 = 4*l + q, w*l = -b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25590 by -3.\nAnswer: 8530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1.41, 0.05 in descending order.\nAnswer: 0.05, -1, -1.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/(2\/(-3)). Let f(h) = 2*h + h - 4*h + 2*h. Let r be f(s). Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**11)*w\/(w*w**(-10))*w)\/(w**(-2\/9)\/(w\/((w*w\/w**5*w)\/w)*w)) assuming w is positive.\nAnswer: w**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110971181 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 1. Let u be x(1). Suppose -5*h + 8*h - 6 = 0. Solve -2*p = b - u*p + 7, 16 = h*b - 2*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5044 - -11448. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91233 and 511101?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 + -113. Find t, given that -4\/3*t**u + 2*t + 2*t**4 - 2\/3 - 2\/3*t**5 - 4\/3*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(147)*-2 - (sqrt(147) + -6*(sqrt(147) + -1)))**2.\nAnswer: -588*sqrt(3) + 7239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 a when two letters picked without replacement from {l: 1, a: 1, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-61)\/(3538\/(-5858)) - 111\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 79, 610, 1191, 1822, 2503?\n\"Answer: 25*f**2 + 456*f - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 1\/8, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 9 = 3*q. Let t be 12\/(-2)*(-14)\/q. Suppose k = 2*k - t. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6 + 57\/(-36).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5 + 21*b**4 - 15*b**3 - 21*b**2 + 18*b = 0. What is b?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4\/3 - 29*k**3\/3 + 23*k**2 + 229*k\/3 + 130\/3 = 0. What is k?\nAnswer: -1, 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1938 divided by -646.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = -2*v + 183, t + v = 179. What is the greatest common divisor of t and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 835*a**2 + a + 3340.\nAnswer: -(a - 2)*(a + 2)*(a + 3340)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873208.8mm to kilometers.\nAnswer: 0.8732088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/11245 and 95\/312.\nAnswer: 269880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11074 is divided by 5537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/60 - s**4\/24 + s**3 - 2*s**2. Let x be (-3 - 5) + 1 + 1. Let u be d(x). What is the greatest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by ((27\/12)\/1)\/(9\/24).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -50, 73, 294?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - q + 16, -x + 3*q = -2*x. Solve 7*i - 4 = x*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 23 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12960\/271 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -13\/10 (b) -0.4 (c) 2249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 84776701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48a - -b?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27701 + -27681. Calculate the highest common factor of k and 10070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123732 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f - 5. Let o be (f + -1)*(-3)\/6. Suppose o = -3*u + 6 + 90. Calculate the highest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5147689 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 290, 1000, 2400, 4724, 8206, 13080, 19580?\nAnswer: 27940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -39784862 + 39784862 + 2*q. Let p(k) = 179*k**2. Determine p(h(b)).\nAnswer: 716*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, p: 3, y: 1}. What is prob of picking 1 y and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -817961752935.\nAnswer: -817961752934.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (4 - 2)) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17541.\nAnswer: 3, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:16 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 13789 and 0.32.\nAnswer: 13789.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10) + 78\/(-540). Is -0.2 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 4:07 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 825128926.\nAnswer: 825128925.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639*t = 968*t + 3998*t - 341833 for t.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20013045 (base 7) in base 13?\nAnswer: -45a374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) -3 (c) -12\/19 (d) -17 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14502 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2 - 0. Let a = 1 - 2. Let o = u + a. Solve 2*s - 1 + 3 = o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3085, 3087, 3089?\nAnswer: 3091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, y: 5, z: 3, w: 1, h: 5}. What is prob of picking 1 w and 3 q?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*-6*(-40)\/(-288)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -359, 0, 4, 26 in descending order.\nAnswer: 26, 4, 0, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103300 (base 4) in base 12?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7747 and 0.037.\nAnswer: -286.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l**3 + 10*l**2 - 24*l - 1. What is m(2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270420)\/36056*46\/(-5).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -160 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.51, -3 in increasing order.\nAnswer: -3, -0.51, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 3*u - 2*u - 10*u.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51815 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 10*i + 293. Give g(-12).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0136061 rounded to 4 dps?\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1558\/164*6\/4)\/(-5 - (-38)\/8)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/16)\/(-2 + 1835\/940) and 23\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/8)\/(1\/(-12)). Let c = -16 + m. Let o be c\/15 + (-7)\/3. Put 4, o, 1 in increasing order.\nAnswer: o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -34991154892.55?\nAnswer: -34991154892.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/33)\/(((l*l\/(l*l**(-10\/3))*l*l)\/l)\/l))**(-22)*((l\/(l*l**(-1))*l)\/l*l)**(15\/4)*l**(-2)\/l**(-2) assuming l is positive.\nAnswer: l**(203\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60902999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 7*j**2 - 9*j - 8. Let h be q(-5). Let u = -16 - h. Put -8, u, 0 in decreasing order.\nAnswer: 0, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5944516 by -1486129.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 703481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64586606 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1829 and 937097.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stsstmsswmst. What is prob of picking 2 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 65990418757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -108694066 take away 2?\nAnswer: -108694068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 5 + -5 + (-27 - -6) - (30 + -15)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 164801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -536 - 88 - 320 - 5*h + 6*h in the form o*h + l and give l.\nAnswer: -944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -15. Let t = d + 18.983. What is t rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2, 12001, 0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - -13 - 8 - -18 - (1 + -17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*z**2 - 89*o**2 + 17*z**2 + 2*z wrt z?\nAnswer: 4*o**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 36*r**2 - 10758*r + 5379*r + 5380*r to p*r + o + k*r**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 208706 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 4*a**2 + 5*a - 4. Give r(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1553*-2.5667\nAnswer: 3986.0851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/(-28))\/(3\/(-24)). Let t(v) = -v**3 + 9*v + 4. Let r(c) = 4*c + 2. Give z*t(i) - 5*r(i).\nAnswer: -2*i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -3*k - b, 0 = 4*k + 3*b - 344 + 395 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.007403169?\nAnswer: 0.0022209507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 - 4*f + 7. Let g(o) = -2*o**2 - 3*o + 5. Let z(b) = 8*g(b) - 5*w(b). Let y be z(-5). Solve 4*s + 0*s + 12 = y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*p - 12. Let o(i) = -13*i**2 + 8*i + p - 26*i - i**3 + 8*i + 17. What are the prime factors of o(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 105049*p**2 + 0*p**3 - 4 + 2*p**4 + 2*p**3 + 105051*p**2 + 4*p as o*p + m*p**3 + n*p**4 + s + f*p**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 13*p**2 + 20*p + 20. Is 17 a factor of v(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 1:01 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -244*r - 2. Let z(b) = 2*b**2. Give m(z(y)).\nAnswer: -488*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6349994.\nAnswer: 2, 7, 453571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 17025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 0\/((-1)\/(-1)). Let v be (1\/3 + 30\/(-36))*444\/((-372)\/(-62)). Put v, -5, f, 4 in decreasing order.\nAnswer: 4, f, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 2:44 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 6. Suppose 5*m - 199 = r. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -384*n + 720*n - 1934*n + 382*n to t + c*n and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 25*n + 136. Let c be d(-5). Let z = c - -28. What is the remainder when 153 is divided by z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134898049 divided by -10\nAnswer: 134898049\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -2 + 0 - (2\/(-16)*-8 - 2068)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (244 - 257) + (15 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543468 is divided by 2052?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67\/6 + -59\/2. Suppose -3*z + z = 4*v - 12, -2*z = 3*v - 8. Find the common denominator of z and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 6*r + 2. Let l be c(-6). Let s be 6\/(-45) + 124\/30. Put s, 3, l in decreasing order.\nAnswer: s, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48266 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3\/10, -9, -3\/5.\nAnswer: -9, -3\/5, -3\/10, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 38*z - 567295. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28984, -40735, -52486, -64237, -75988, -87739?\n\"Answer: -11751*h - 17233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 6*l**2 + 6*l + 24. Give r(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*y, -d + 4*d + 3*y = -6. Sort d, 1, 23, 5 in descending order.\nAnswer: 23, 5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11127742691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1175 = 9*k - 1435. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*((-192)\/88)\/((-4)\/44)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 124, 210, 286, 346, 384?\n\"Answer: -u**3 + u**2 + 90*u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4000*r**3 - 1998*r**3 - 2004*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f + 2 = 0. Suppose 0 = -2*d + 2*y - 4, 5*y + 1 = 2*d + 8. Let o be ((-4)\/42)\/(d\/6). Is o not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 203, 447, 721, 1025, 1359, 1723?\n\"Answer: 15*t**2 + 199*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6107 - 6106 - (1 + -2 + 4 + 9) - 33.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + 1 + sqrt(13) + 3)**2 + 4.\nAnswer: 12*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a**2 - a + 43*a**2 - 86*a**2.\nAnswer: -9*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-190)\/(-20))\/(1\/12). Let z = 113 - t. Let a(w) = -3*w + 1. What is a(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r**4\/3 + 26*r**3\/3 + 320*r**2\/3 - 416*r\/3 = 0. What is r?\nAnswer: -4, 0, 13\/10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11850247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 929 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 44*x - 266. Calculate a(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 4:39 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 219421, 0.2, -0.6 in decreasing order.\nAnswer: 219421, 3, 0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837756681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by -4123?\nAnswer: -101\/4123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**3 - 10*o**3 + 8*o**3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138.5 + 138. Sort 2\/9, 0.05, s, -5 in increasing order.\nAnswer: -5, s, 0.05, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(85\/15 + (-4 - 2)). Suppose 2*m - 9 - 1 = 3*n, r*n = -3*m. Solve -3*t + 2*u + 8 = 0, -2 = 2*t + u + m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c50790 - 2?\nAnswer: c5078c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1333 + 358 - 1318)*(7 - 7 + 10*x**3) to the form l + q*x**2 + z*x**3 + g*x and give z.\nAnswer: -22930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d = o - 1, -31 = -5*o + d. Let x(h) = -h**3 + 8*h**2 - 10*h + 7. What is the remainder when x(o) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 3*m**5\/40 - 5*m**3\/3 - 8*m. Let y(k) be the second derivative of g(k). Let w(u) = -u. What is y(w(n))?\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004243 to seven dps.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**3\/4 + 7*y**2\/8 - y\/2 + 21. Solve l(g) = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151905 - 114.02\nAnswer: -152019.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = -26. Let z be 1 + 15 + (p - 11). Suppose -s + z = -22. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from djj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10373.80185 - 10403.8. Let g = j - -30. What is g rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -6631654?\nAnswer: -6631656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 1 - 6*u - 1.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*f + 3*f - f)*(-3 - 2 + 0) + 11*f - 2*f + f)*(2*f**2 - f + f).\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17*i**2 - 4*i - 17. Let n = -9 - -18. Let p(x) be the second derivative of -x**4\/3 - x**3\/6 - 2*x**2 - 2*x. Calculate n*p(u) - 2*r(u).\nAnswer: -2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvchoceh. What is prob of sequence cg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 563*g + 2 - 5 + 1159*g - 607*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 62?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooueeyhuyyayoao. What is prob of sequence uho?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 + 6*f + 2. Let o(r) = -5*r**2 + 11*r + 4. Let t = 8 + 6. Suppose 5*n - t = 6. Calculate n*o(y) - 7*d(y).\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 + 9*v + 8. Let w be g(-5). Let y = -32 + w. Let o be 1 + 1 - 100\/70. Which is the third smallest value? (a) -2 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*i + 79*i + 86*i + 33*i.\nAnswer: 85*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11019?\nAnswer: 3, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146502*u**3 - 14*u**2 - 3258*u?\nAnswer: -879012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 500, 1922, 4260, 7508, 11660?\nAnswer: 16710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + sqrt(1088) + 0 + sqrt(1088) + sqrt(1088) + sqrt(1088))*-6 - sqrt(1088) - 5*(sqrt(1088) - -2*sqrt(1088)))**2.\nAnswer: 2302208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**3 + 35*s**3 + 118*s**3 + 119*s**3.\nAnswer: 297*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -2*u**7\/21 - 26*u**6\/15 + 17*u**5\/5 + 37*u**4\/3 - 136*u**3\/3 + 56*u**2 + 333*u. Factor r(j).\nAnswer: -4*(j - 1)**3*(j + 2)*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubuu when four letters picked without replacement from {b: 3, p: 3, u: 7}.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-4) + -2)*(-60)\/117. Let r = a + 3\/13. Let q be ((-3)\/45)\/(1\/(-3)). What is the second biggest value in r, q, -5, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 6944?\nAnswer: -6940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**3*l**3 - 203*h**3*l + 359*h**3 - 2*h**2*l**3 - 2*h**2 - 2*h*l - 2346*l**3 - l wrt h.\nAnswer: -48*l**3 - 1218*l + 2154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*k + 10. Let n(r) = 8*r**5 - 2*r**4 + 4*r**2. Let v(q) = q**4. Let u(b) = k*n(b) - 2*v(b). What is the third derivative of u(i) wrt i?\nAnswer: -480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4976)\/1866)\/(8\/21)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*q - 9 + 0*q**3 - 3 + 3*q**3 - 15*q**2.\nAnswer: 3*(q - 2)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.96 - 5. Let t = f + 4.04. Let l = 1 - t. What is the biggest value in 3\/7, -4, l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 912\/11. Let f = -0.26 + 0.46. What is the nearest to x in -5, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 5, 2*f = -5*o + 4*o - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 882, 4, 6\/23?\nAnswer: 882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-90)\/(-24)*159480\/27.\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*10\/5*47\/(-94).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.4+129785\nAnswer: 129783.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, p: 14, v: 1}. Give prob of picking 4 p.\nAnswer: 1001\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 2*p**5\/15 + p**4\/3 - 2*p**3\/9 - 2*p**2\/3 + 6. Factor t(s).\nAnswer: 2*s*(s - 1)*(s + 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.71 + 0.67. Let a = k - -0.14. What is the second biggest value in -3\/4, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/24)\/(((-6)\/20)\/(154\/(-55))).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20651 + 20871. Solve 9 = -n*o + 223*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2818736 rounded to 1 dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*p**3 - 30169*p**2 + 33779*p - 19 wrt p?\nAnswer: -156*p - 60338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-45)\/2*(-72)\/20 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 5*d**3 - 11*d + 1 + 7*d + 4*d**3 + 2*d**3. Let t be r(-3). Find the third derivative of -4*x**t + 5*x**2 - 83 + 83 wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**5)**(-19)*(m\/((m*m**(2\/15)\/m*m)\/m))\/m*m\/(m\/((m**(-3\/7)*m)\/m*m)*m))**(-12) assuming m is positive.\nAnswer: m**(48116\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48.03 + -48. What is the nearest to l in -5, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 4*c**2 + 8*c - 17. Determine u(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/126058 and -101\/2.\nAnswer: 126058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -0.5. Let c = -0.5 - q. Let m = 175\/116 - 1\/116. Put m, -1, c in increasing order.\nAnswer: -1, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1043 + 1077. Solve -28*p + 24 = -d*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, v: 5}. Give prob of picking 4 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/(205\/(-40) + 5). Let t be -1*(2517 + 0)\/((-6)\/n). Let v = t - -35221\/21. Calculate the common denominator of v and -101\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 + 1979 = 6*z. Let c = 837 - z. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1516 + 1516. Which is the closest to 3? (a) r (b) 5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 474 and 29167590.\nAnswer: 29167590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 24*x**4 + 60*x**3 - 48*x**2.\nAnswer: 3*x**2*(x - 4)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 - 2*a**2 - 5*a**2)*(588*a + 324*a - 72*a).\nAnswer: -8400*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 300, 473, 680, 933, 1244, 1625?\nAnswer: 2088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 151.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181106 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -y + 2, -107*y + 15 = -5*b - 105*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59902536 and 28584?\nAnswer: 9528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46809 and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 23*b = -n - 3*n + 16*b + 4, -n = b - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 213176742.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414841.9 decades in months?\nAnswer: 49781028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)\/b*b*b*b\/(b*b**10*b))**(6\/23))**(-4\/23) assuming b is positive.\nAnswer: b**(336\/529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.897 and -166.\nAnswer: 2306.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 13*l = 7478. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10724, 21450, 32176, 42902, 53628, 64354?\n\"Answer: 10726*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1585 (c) 10 (d) 0.3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 38. Let w(t) = t**2 - 8*t. What is w(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4733*j - 5687*j + 2470*j)*(0 + 5 - 1)*(-2 + 3 + 0) as q*j + z and give q.\nAnswer: -31800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**7\/5040 + 7*p**6\/720 + p**5\/30 + 8*p**2. Let c(j) be the third derivative of h(j). What is the units digit of c(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*q - 2*b, 0*q - 3*b - 22 = q. Let v(i) = -3*i - 12. Let o be v(q). Let j be 36\/10*(-35)\/(-14). Calculate the greatest common factor of o and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1. Let x(b) be the third derivative of -b**4\/8 - b**3\/6 + 8*b**2. Calculate x(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 14, m: 1}?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**4 - 28*b**3 + 98*b**2 - 72*b = 0.\nAnswer: 0, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.805 + -3.\nAnswer: -1.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-6))\/5*-120. Suppose -v - 108 = -8*g. Calculate the greatest common factor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 10 - 4 = 0. Let u(d) = -2. Let a(w) = 1. Let l(n) = 5*a(n) + 3*u(n). Let c(q) = -2*q + 6. Determine y*c(f) + 4*l(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 11:18 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 433678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52500 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -23 + 3\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 6*m**2 - 5*m + 3. Let r be s(5). Differentiate -3 + 3 - r - 3*f**3 wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 158.\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3314035.746 - -3313549.7460542. Let m = n - -486. What is m rounded to 6 decimal places?\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10545 - 10540. Sort -3, c, -5 in descending order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -220 + 222. Sort n, 4, 15 in descending order.\nAnswer: 15, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 25*k**2 + 46*k - 43. Give b(-27).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 6*k**2 + 7*k - 6. Let q be r(5). Suppose w + 3 = 2*y, -5*y + w + 10 = -2. What is the remainder when (-1 + 9)\/(-3 + q) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50452119 + 50452119 + 9*r**2 + 394*r)*(-2*r + 2*r + r).\nAnswer: 9*r**3 + 394*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 2*u - 12, 4*x - 22*u + 18*u - 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*k + 334 = 4*f, 0 = -2*f + 2*k + 334. What are the prime factors of f?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1557*h = -1531*h - 104. Solve h*d - 25*d - 105 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.69 and -0.98.\nAnswer: -1.6562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 6*i + i)*(167 + 474 + 191).\nAnswer: 4992*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {p: 7, s: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q**4 - 11*q + 11*q + (2*q + 0*q - 3*q)*(-4*q**3 + 7 - 7) - 3*q**2 - q**4 + 3*q**2.\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 36516?\nAnswer: 36514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.2464, 3\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 185*((-5)\/(-6)*(-1002)\/1670)\/((-20)\/(-8))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 10.3\nAnswer: 10.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 2) + (1 - (6 - -1 - -3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 10*n**2 + 2*n + 10.\nAnswer: -2*(n - 1)*(n + 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 79*t**2 - 3*t - 1. What is the tens digit of h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -2920, -2.43 in descending order.\nAnswer: -2, -2.43, -8, -2920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9955320 divided by 46.\nAnswer: -216420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11397.\nAnswer: 3, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1454*p**3 - 1467*p**3 + 4391*p**3 - 1430*p**3.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccffffcfcccffcfcfcf. Give prob of sequence fc.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15900192 in -3, 0.4, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) - (-4 - 65\/(-4)). Let s(t) = -t**2 - 13*t - 23. Let q be s(m). Let f = -6 + q. Is -16 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -696714*l**3*y**2 - 8*l**3 + 2*l**2*y**3 - 1190*l**2 + 19 wrt y?\nAnswer: -1393428*l**3*y + 6*l**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 3*q + 2*q + 4*q - 5*q - 4*q + (-1 + q + 1)*(-1 + 1 - 2).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/24*(-18)\/(-27). What is the second biggest value in -4, 1\/24, g, -54?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 0, -63471, -5, -80.\nAnswer: -63471, -80, -5, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -12. Which is the nearest to -0.2? (a) f (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/20*125\/(-20)*(-10)\/175.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22413242377 - -0.011\nAnswer: -22413242376.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xixi when four letters picked without replacement from {i: 10, x: 10}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 180, 274, 370, 468, 568?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**7\/35 + h**3\/3 + 4*h**2. What is the first derivative of x(c) wrt c?\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 l when four letters picked without replacement from lwwwwwwwlwwwwwwwww.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 5*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k + 3*x, -91*k + 87*k + 5*x - 29 = 0. Put 0, -459, k in decreasing order.\nAnswer: 0, k, -459","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((4*(sqrt(68) - (sqrt(68) - sqrt(68)*1)) - (sqrt(68) + -2*(sqrt(68)*-1 + sqrt(68))))\/(sqrt(36)\/(6*sqrt(27)\/sqrt(3))))**2*1.\nAnswer: 33048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4 + 8, -c = -s + 1. Suppose -759000 = 3*v + s*f, v - 6*v + f - 1265000 = 0. What is v rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/9 and 5\/138139.\nAnswer: 1243251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -567*o**2 - 111*o + 109*o - 1032*o**2 - 2 in the form m*o**2 + s + v*o and give m.\nAnswer: -1599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 575 and 15580.\nAnswer: 1791700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 14*q - 32. Suppose 11*j = -r + 8*j + 385, 2*r = -j + 760. Let h = -396 + r. Let f(d) = 5*d - 11. What is h*f(g) + 6*u(g)?\nAnswer: -g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -18. Let u = -13.02 - -18.02. Sort c, u, -0.4 in decreasing order.\nAnswer: c, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6269*a**4 - 155*a**3 + a**2 + 5286*a + 9?\nAnswer: 150456*a - 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-112)\/84*(-6)\/4. What is the third derivative of -v*t - 65*t**2 + 40*t - 38*t + 222*t**3 wrt t?\nAnswer: 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95651*b**2 - 3 + 5 + 46758*b**2 + 47059*b**2 - 2.\nAnswer: -1834*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97046, -97610, -98176, -98744, -99314?\nAnswer: -99886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/296556 and 137\/55510.\nAnswer: 633147060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64974 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**2 + 3899937*k. Let w(p) = -17*p**2. Give q(w(r)).\nAnswer: -1734*r**4 - 66298929*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 483, 722, 1363, 2604, 4643, 7678, 11907, 17528?\n\"Answer: 33*a**3 + 3*a**2 - a + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12359246 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 6*v - 36*y - 82 = -0*v, 0 = -v + 5*y + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-124)\/(-40) + (-1 - -4) and 97\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13383 = 8*y + 4399. Does 55 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -34, -106, -226, -400?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1755 is divided by 121?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6040 is divided by 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**0\/n))**(-19)*n**(3\/13)\/n**(-8) assuming n is positive.\nAnswer: n**(-387\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129812?\nAnswer: 2, 3, 94151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107427 = -2261*s - 5618 + 47417 for s.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 24*s + 9. Let h be q(-24). Let y(l) = 7*l**2 + 6*l - 16. Let w be y(h). Let u = w - 431. List the prime factors of u.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 3*b + 6. Let o(p) = -p**2 - 7*p - 4. Let t be ((-8)\/(-6))\/(4\/(-30)). Let g be 4\/32*4*t. Let a be o(g). What is q(a)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167368991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4, -4*y = -4*u + 2*u - 8. Let w be (y - 0)*(0 - -1). Suppose -t + 2*t + 3*c = 0, -c = w. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3575 and 7275275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -476883\/301 - -2115\/43. Let l = z - -1530. Which is greater: -5 or l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*u + 8758 = 0, -4*b - 3*u = -17201 - 17831. Calculate the greatest common factor of 2114 and b.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 16 = 3*k, 5*m = 5*k - 59 + 24. Suppose 2*z = w + k*w - 59, z - 2 = 0. Is 246\/11 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -215 in 3, 1\/4, -2\/9, 32?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12109, -24025, -35751, -47293, -58657, -69849?\n\"Answer: -j**3 + 101*j**2 - 12212*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -354*t + 11880 - 19668 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 - 3) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*n + 6*n - 3*n)*(4 + 1 - 4) - 73*n + 230 - 230 + (2 - 2 + n)*(5 - 5 + 1))*(2*n - 6*n + 2*n).\nAnswer: 146*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + -46 + (-49 - -110).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -7. Suppose -20 = -j - j + 3*m, p*j - 28 = 3*m. Solve j*q - 5 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1573) + -5 + sqrt(1573)*-3 + 1)**2.\nAnswer: 176*sqrt(13) + 6308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r - 2. Let b be (6\/(-12))\/(r\/6). Which is greater: 3\/8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 14*j. Let a(q) = 2*q - 15*q + 8*q + 7*q. Determine u(a(t)).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 5*c + 3. Let z be d(-6). Let f(v) = v - 81. Let g be f(0). Find the common denominator of 43\/2 and g\/(-6)*z\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 + -97. Let u(y) = 8*y + 3. Let k be u(l). Let f(w) = -41 - k*w**2 + 4*w**2 + 40 + w. Calculate f(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2787899 is divided by 2391?\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 17, -0.09 in decreasing order.\nAnswer: 17, 8, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*w + 80*w - 22*w - 32 in the form k + l*w and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 317 = 2*b. Let s be 1 + -4 + 7 - 164. Let l = s - b. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.76579 grams to nanograms.\nAnswer: 75765790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, q: 3, t: 2, v: 4, u: 4}. What is prob of sequence qtq?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-8 - 0) + (3 - (1 - 5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5305 (base 12) to base 13.\nAnswer: 4193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 + 11*h + 5. What is the remainder when (-9 - 2)\/(10\/(-40)) is divided by b(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n. Let v(q) = -161*q - 15. Let u(w) = 1368*w + 126. Let o(l) = 5*u(l) + 42*v(l). Calculate t(o(j)).\nAnswer: 234*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -108007, -216021, -324033, -432037, -540027, -647997?\n\"Answer: z**3 - 5*z**2 - 108006*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2378 and 986.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3368002 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -355400 + 87?\nAnswer: -355302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 203\/147 - (-2)\/7. What is the nearest to 2\/3 in -0.2, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57996 and 119502.\nAnswer: 128345148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 4, -3, -6\/43?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Suppose 6 = 4*r - 7*r. Give x(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 8*b**3\/3 - 511. Let h(m) = -8*m**2. Give 3*c(a) + 4*h(a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from ccuccaccuccuccccca?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -26*m**2 + 1 - m + 3*m**3 + 1 + 10*m**2 + 14*m**2. Let j be i(1). Suppose -3*f = j*f - 30. Solve -3*s - 13 = -4*y, -y - 2*y = 3*s + f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -2039*r + 2025*r. Put 4, -2, -4, r, 5 in decreasing order.\nAnswer: 5, 4, -2, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p**5\/2 - 1233*p**4 + 33387*p**3\/2 - 60282*p**2 + 47442*p + 32760 = 0. What is p?\nAnswer: -130, -3\/7, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -743000*z**2 - 610570.\nAnswer: -1486000*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17406 - 17405.99984397. Round k to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 5*t + 26, 4870 = -5*k - t + 4876 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 569*w + 20. Let p(g) = -853*g - 30. Let o(c) = -5*p(c) - 8*v(c). Is o(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.04 (b) -0.3 (c) 3\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1162*l + 21938 = -16408 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 2. Let u(i) = -i**3 + 119*i**2 - 234*i + 9. Let z be u(117). Let c(y) = -5*y - 8. Suppose 3*l + w - 9 = l, 2*l = -5*w + 29. Give l*c(r) + z*b(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 + 18*f**2 + 10*f + 8. Calculate q(-12).\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, d: 1, r: 2, y: 1, i: 4}. What is prob of sequence iirf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626799621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 - 9*s - 31. Let a be f(-5). Let u(h) = -2*h - a - 113 + 4*h + 216. Calculate u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 6*k + 4*k = -182, m - 53 = -2*k. Let x(t) = t**3 - 6*t**2 - 7*t - 2. Let j be x(6). Let s = j + 62. Solve -5*b + s - m = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052\/10 - (-16)\/20 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -145*c**2 + 26*c + 792. Let m be j(-17). What is m rounded to the nearest 100?\nAnswer: -41600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**2 + 11893 + 33*y**2 - 11893.\nAnswer: 46*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1*t)\/t**2)**(17\/4)\/((t\/(t\/(t*t\/((t\/(t**(-2\/7)*t))\/t)))*t)**(-4\/9))**(2\/27) assuming t is positive.\nAnswer: t**(29749\/6804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*q**4 + 50*q**2 - 39*q**6 - 1 + 9*q**4 + 0*q**4 - 1 wrt q.\nAnswer: -4680*q**3 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/67608 and -139\/7512.\nAnswer: 67608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 372 + -369. Solve -8 = l - b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*1.145602.\nAnswer: 0.1718403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*b**2 + 6*b**2 + 15*b**2 + (0*b - 4*b + 0*b + (-b + 0*b + 4*b)*(1 - 1 - 1))*(2 - 2*b - 2) as o + v*b**2 + h*b and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2438384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2345410 (base 7) in base 8?\nAnswer: -1104431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/14*(-5 + 936\/189).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 3*d. Let s(r) = -2*r**2 + 12*r. Let n(q) = 12*l(q) - 3*s(q). Let x(f) = -20*f. What is n(x(m))?\nAnswer: -2400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*y - 42*y. Suppose -7*m + 15 + 125 = y. Let k(j) = j**2 + 7*j - 5. Let d be k(-8). Solve -d*z = 4*a + m, 2*z - z = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/3310 and 11\/6620?\nAnswer: 6620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28169 is divided by 28130.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 14) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-11 - ((4 - 18) + 101 + 0))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-104)\/24 - -4)*0\/(-2). Suppose c = p - 5*p - 4, 0 = 5*o - 5*p - 245. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3215140.\nAnswer: 2, 5, 160757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j + 11. Let o = 4 + -15. Let m(q) = -4*q - 6. Let k(l) = o*m(l) - 6*x(l). Let r(s) = -4*s**2. What is k(r(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 3 + -1 + sqrt(272) - (-5 + 3 + sqrt(272)))**2.\nAnswer: 32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**0\/(v\/v**(-8)*v)*(v**(-6))**(-31) assuming v is positive.\nAnswer: v**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000060135 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 - -2207?\nAnswer: 2854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*j**3 + 1813288*j**2 - 140470177*j wrt j?\nAnswer: -60*j + 3626576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 648 - 516. Calculate the highest common factor of d and 440.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l - 5. Let m(j) = -j**2 - 5*j + 4. Let c be m(-6). Let h be f(c). Suppose 0 = -8*s + h*s + 25. What is the least common multiple of s and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 11:42 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -451396*l**2 - 353629 wrt l?\nAnswer: -902792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 3*n - 29 = 0, 5*n + 16 = a + 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 12\/(-54)) + 25\/9. Let q(h) be the second derivative of -3*h + 0*h**i + 1\/54*h**4 + 0 + 0*h**2. Let q(m) = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/50323836 and -35\/76866.\nAnswer: 1157448228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q + 24 = -14 - 18. Let l(i) = i - 1. Let j(m) = 8*m + 2. What is q*l(y) - j(y)?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -334 in -1, -2, -1\/4, 0.04, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 67 + (-8)\/1 - -4. What is the highest common factor of 175 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 3*k**2 + 2*k - 2. Let m be (-3)\/(-4) + (-23)\/4. What are the prime factors of p(m)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 223130901*v**6 - 78*v**2 - 78*v - 8862 wrt v?\nAnswer: 26775708120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4, 35499\/7, -5\/2, 3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 661 + -7?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 0.06, -0.1, -95, 5, 0.02?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 122*x - 26. Let u be d(-13). Let l = u - -2732. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 411714 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 196360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - 12*v**2 + 5*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-968)\/880)\/((-24)\/(-18) - (-344)\/(-240))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*m = -309231 + 312981 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 820?\nAnswer: 10660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -89 * -4\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130419884*m**3 + m - 71595484.\nAnswer: -391259652*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0756 and -3.73276.\nAnswer: -0.282196656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(2204\/(-2842)) - -7.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(24297\/15 + 1). Suppose -k + 3064 = 4*o. What is o rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3632806, 7265612, 10898418, 14531224?\nAnswer: 18164030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113948913?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/((-56)\/20). Let o(q) = -3*q**2 + 1. Let l be o(1). Let h = 98 - 98.4. Which is the biggest value? (a) f (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.12 - -5.12. Let o = 15948 - 175426\/11. Let b = 0.01 + -0.41. What is the third biggest value in x, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 12) in base 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i = 5*l - 41, -3*l + 15 = -5*i. Solve 3*k = -0*k - n + 7, -4*n = 3*k - l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 9:25 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 5*r + 0*r)*(0*r**3 - 3 - r**3 + 1).\nAnswer: -8*r**4 - 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 133 + 604 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) -0.3 (c) 12 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6009, 11895, 17829, 23805, 29817, 35859?\nAnswer: 41925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 180*h + 74 - 60*h - 64*h - 60*h. Is t(-10) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1323)\/(-21))\/((-45)\/(-10))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:25 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122310042 - 4?\nAnswer: -122310050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(9\/7)*(r\/(r*r**(-3\/5)))\/r**(1\/10)*r**(-17)*(r\/((r*r*r\/r**(-1))\/r))\/r**0 assuming r is positive.\nAnswer: r**(-241\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 60 = -8*c + v, -5*c + 4*v + 75 = 0. Let h = c - 4. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 2405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 8 - (-5 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b460 (base 15) to base 12.\nAnswer: -43430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + (-5 - (-1 + 0)). Suppose -338 = -v*f + 5*d, -4*f = -9*f + d + 433. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + 5*w)*(2*w**4 + 8 - 7*w**3 - 8).\nAnswer: 6*w**5 - 21*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5\/5 - 322*g**4\/5 + 9416*g**3 - 1497088*g**2\/5 + 9011584*g\/5 + 24393248\/5 = 0.\nAnswer: -262, -2, 11, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-2 - (12 + 14))) + 1 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0529, -2, -12, 1 in increasing order.\nAnswer: -12, -2, 0.0529, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*b = -1704 + 180, -1138 = -3*r + 2*b. Let g(j) = 5*j + r - 380. Let x(v) = -5*v. Calculate g(x(f)).\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - (7 + 5)) + (-62 - -158).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*-3*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -1, 25\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.16616 to one decimal place.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.83569ml to litres.\nAnswer: 0.06983569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knw when three letters picked without replacement from qwqnkwqqwnnnnwq?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 254452*k**2 + 2544670*k - 6361800.\nAnswer: -2*(k - 5)**2*(k + 127236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 - 25 = 14*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6224 - -13556. Is 26 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*i**5 - 1190*i**4 - 18*i**2 + 1190*i**4 wrt i.\nAnswer: -1200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -28*v + 4. Let n(s) = s**2 - 57*s + 9. Let k(j) = 5*l(j) - 3*n(j). What is the units digit of k(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 39*v + 142. What is g(35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (1 - (-15)\/(-12)). Let z = 0.62 - 0.22. Which is the third biggest value? (a) z (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c**3 + 20 + 31*c**3 - 19 + 10*c + 10*c**3 - 6*c as b + f*c**2 + n*c + m*c**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 2*l. Let j be q(7). Suppose -j - 12 = 4*x. Does x = -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times -753.5204\nAnswer: -1280.98468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-1\/3)\/(o**2)**(21\/5) assuming o is positive.\nAnswer: o**(-131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*1)**2 + -4 + (sqrt(175)*2 + 4 - sqrt(175)) + sqrt(175) + ((-5 + sqrt(175) + sqrt(175)*-2 + sqrt(175))*3)**2)*4*-1.\nAnswer: -1600 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + -3 + 4 + 13?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5 - (1 + -1)) + (29 - 23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1129 or 5651\/5?\nAnswer: 5651\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 a, and 2 z when four letters picked without replacement from {z: 2, x: 11, j: 2, a: 1}.\nAnswer: 11\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 219 and 11094.\nAnswer: 809862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588505, -588527, -588549, -588571, -588593?\nAnswer: -588615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(30)\/((sqrt(4) + 2*sqrt(4) + sqrt(4))\/sqrt(2)))\/(sqrt(405) - -2*sqrt(405)*2))*2)**2.\nAnswer: 1\/2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**4\/12 + k**3\/3 - k**2\/2 - 15*k. Calculate h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 1. Let n(s) = s**3 + 7*s**2 - 2. What is 2*b(h) + n(h)?\nAnswer: -h**3 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2523 is divided by 1239.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3861*y + 3869*y + 88 = 0. What is the nearest to -1\/5 in y, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33748658 or -33748657?\nAnswer: -33748658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 - -3.1. Let u = 12.1 - 12. Which is the nearest to u? (a) -4 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/322920 and 115\/364?\nAnswer: 2260440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 1495019638*j**2 + 747510053*j**2 + 747509585*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43.5 + 43.5105. Let j = -2.0105 + u. Let m = 2\/9 + 1\/36. Which is the smallest value? (a) -0.4 (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 74*p + 9. Let c(t) = -41*t - 5. Let h(z) = -11*c(z) - 6*i(z). Let w be 1\/3 + 14\/(-6). Give h(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(4 + -1) - 0. Let q(a) = 3*a**2 - 4*a + 3. Let y be q(n). Find the common denominator of 13\/7 and (-2076)\/(-1092) + (-2)\/y.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.08 + -2.38. Let h be 1\/4 - 12\/(-16). Let s be (-96)\/(-78) + h\/(-1). Which is the third biggest value? (a) s (b) v (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 2:40 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1270, -123, 2, 6, 1, -5 in decreasing order.\nAnswer: 1270, 6, 2, 1, -5, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1857, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 4*f + 20, -u + 2*f = -2*f - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114.8*4397.\nAnswer: 504775.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -73581453292 + 0.03?\nAnswer: -73581453291.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 0.9. Let u = 0.15 + -0.05. Put q, -3, u in decreasing order.\nAnswer: u, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103068262127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*q - 6676, 8 = 322*q - 324*q. Is 86 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, z: 11}. What is prob of sequence zggg?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**3 + 84*b**2 + 50*b + 13. Let k(n) = 42*n**2 + 25*n + 7. Let z = -18 - -13. Let f(o) = z*k(o) + 3*p(o). Solve f(i) = 0 for i.\nAnswer: -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1758 + 202 + 606)*(-8*l**2 + 3*l**2 + 11*l**2) in the form c + k*l**2 + p*l and give k.\nAnswer: 15396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**2\/2 + 5*h + 3. Determine n(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*r = 330*r + 36 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 3, n: 5, l: 4, z: 4, x: 1}. Give prob of picking 2 z and 1 l.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 2, n: 1}. Give prob of sequence in.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4671.81 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/297625 and -57\/7.\nAnswer: 2083375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 - 11*b. Give c(-8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1106447 at least -1106453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68923962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -172.2 * -54\nAnswer: 9298.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 635 + -8853\/14. Find the common denominator of -34\/73 and l.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87118, -93171, -99214, -105241, -111246?\nAnswer: -117223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**4 + 2*f**2 + 7*f**4 + 2*f**4 - 8 - 4*f**4 in the form y*f**3 + g*f**4 + t*f + o*f**2 + c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 5*m)*(-10 + 11*m**3 + 10) in the form d*m**2 + v + a*m**4 + u*m + s*m**3 and give a.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 19. Let j(u) = -u. Let s(i) = 30*i - 48. Let t(m) = -54*j(m) - 2*s(m). Let a(z) = 24*p(z) - 5*t(z). Does 12 divide a(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 675?\nAnswer: 4\/675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 - -2472?\nAnswer: 2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**4\/8 - s**2. Let m(c) = -3*c. Determine m(i(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 10*q + 2*m + 96, 0 = -2*q - 3*m + 27. Suppose -2961 = -q*w + 11*w. Calculate the greatest common factor of 47 and w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*i**2 + 37*i**2 - 193*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -659, -1310, -1947, -2564, -3155?\n\"Answer: s**3 + s**2 - 661*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -69*m + 722. What is i(20)?\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 4*c - 6, -62*h + 60*h - 2*c = -8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -2*r**3\/3 + 14*r**2 + 35*r - 57. Let h be x(15). Suppose 2*z + 0*z = 20. Solve 0 = h*p + z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.24515668 and 3.\nAnswer: -0.73547004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 995, 2122, 3713, 5774?\nAnswer: 8311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60645887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.04, 1, 3, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/139 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10 = -4*p, 3*p + 4*t - 13 = 6*t. Suppose -p*x + 20 = 5. What is the greatest common divisor of 45 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u - 7. Let v = u - -14. Suppose 0 = -4*c + v + 33. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 14*m + 48 = -11*m, -4*y + 5*m - 102 = -46 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 68 = r, r + 17 = 10*u - 9*u. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 31774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**35*j*j\/(j\/j**2))\/((j*j*(j*j*(j\/j**(-8))\/j*j)\/j*j*j)\/((j\/(j\/j**(-3\/34)))\/j)))**(2\/51) assuming j is positive.\nAnswer: j**(779\/867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1*h*h*h*(h\/h**(-1\/5))\/h)**(9\/13)*(h\/h**(-1\/2)*h*h\/(((h\/((h\/(((h**3\/h)\/h*h)\/h))\/h))\/h)\/h)*h*h)\/(h**(-1))**(-22) assuming h is positive.\nAnswer: h**(-129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, k: 9}. What is prob of sequence kjj?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/(((k*k*k**(-3\/4)*k)\/k)\/k))**38\/((k*k**1*k)**(2\/45)\/(k**(2\/17)*(k*k*k**(-5))\/k)) assuming k is positive.\nAnswer: k**(-123173\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-3 - -2 - -3). Suppose 0 = -m*l - 0*j - 4*j + 28, -5*j = -10. Let f(q) = q**2 - 4*q - 2. What is f(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:38 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i + 35*i - 74*i = 0. Solve -3*x - 3*x = i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 4, 2043.\nAnswer: -1\/6, 4, 2043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193503260.\nAnswer: 2, 5, 1013, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 14)*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o + 130. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/6))**44*l**(-1\/18)\/l**(-5\/7) assuming l is positive.\nAnswer: l**(-841\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/35*5341\/(-116739)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fzzzzzzzzzfzz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d**3. Let r = -36 + 40. Suppose 12 = r*b, 2*b - b = -4*v + 7. What is z(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 106 + 491?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.1? (a) 0.4 (b) 4\/7 (c) 0.3 (d) 158 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2261400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, d: 5}. What is prob of sequence ddv?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 84 = x + 569, -5*x - 665 = -5*s. Let g = -124 + s. Calculate the lowest common multiple of g and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -10*a - 20*a + 28*a - 26 - 14. What is u(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/9 + 28*a + 512\/9 = 0. What is a?\nAnswer: -2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 915 * -92.15.\nAnswer: -84317.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 187733\/(-10315) + (-20)\/2 + 39\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70) - sqrt(70))*3*-1)\/(sqrt(250)*1*6).\nAnswer: 3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/25424883 and 53\/2035?\nAnswer: 127124415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 1:56 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 + 24. Let m be r(8). Calculate the common denominator of 3\/7*(-4 - m\/(-18)) and 2\/5 - 33\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 9*c + 6. Is 31 a factor of b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*j + 10907 = -10513. What is the lowest common multiple of 2282 and j?\nAnswer: 11410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - -5 - (41 + (46 - 84))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m + 41. Let o(f) be the second derivative of 7*f**4\/6 - 63*f. What is c(o(j))?\nAnswer: -28*j**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppggppppgpp. What is prob of picking 1 g and 2 p?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10245, -20598, -30951, -41304?\n\"Answer: -10353*o + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110101100 (base 2) to base 5.\nAnswer: 12230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -391, -750, -1063, -1312, -1479?\nAnswer: -1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3928680168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883436.\nAnswer: 2, 220859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-56))\/(393\/2096).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28405\/3 + -9469. Are y and 5790 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*l - 25, 0*s - 2*s = -l - 10. What is the units digit of -3 + l - (-7)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 52 = -12*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f*f**24)*f)*f**(-1\/14))\/(f\/(f*f**(-10\/9)*f)*f**(-17)) assuming f is positive.\nAnswer: f**(5269\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(968)*3)*6 + (sqrt(968) - (-3*sqrt(968) + sqrt(968) + -3)) + 5)*5)**2.\nAnswer: 600600*sqrt(2) + 10689100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.56 - -0.45. Let d = -91.01 + c. Let i = d - -110. Which is bigger: 1\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y + 10949 = 96*y - 130318. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220820705 plus 0.2?\nAnswer: 220820705.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1086.8 + -1086.806837. What is n rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2855 (base 9) to base 2\nAnswer: -100001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 143*f**2 - 23*f**5 - 143*f**2 + (-3*f**5 + 6*f**5 - 2*f**5)*(-1 - 9 + 4) + 3*f**5 - 8*f**5 + 4*f**5 + 0*f**5 + 3*f**5 - 4*f**5.\nAnswer: -31*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 3*x**2 - x**4 + (-x**2 + x**2 + x**2)*(-2*x**2 + 0 + 0))*((0 - 3 + 1)*(-x + 3*x - x) + 80 + 161*x - 80).\nAnswer: -477*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.193304 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 + 38*p**2 + 32*p + 156. Calculate the lowest common multiple of j(-12) and ((-7)\/2)\/(1\/(-12)).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 517 and 30409?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v + 42. Let d(p) = 1. Calculate -6*d(c) - u(c).\nAnswer: 3*c - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 5*v - 30, 0*v = -2*f + 2*v - 6. Let y = -1 - f. Calculate the smallest common multiple of y and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24+-124\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957688 > 1957690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412, 497, 620, 769, 932, 1097, 1252?\nAnswer: 1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 29 = -0*c + d, -5*c + 110 = -2*d. Suppose -x = -1, -c - 23 = -r + 2*x. Let h = 69 - r. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*j - 30 = 0, 5*d - 5*j - 32 - 13 = 0. Solve r + d = 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 76*v**2 - 75*v**2 - 6 - 4240*v**3.\nAnswer: -4240*v**3 + v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**7\/70 + f**6\/40 + 67*f**5\/30 + 3*f**4 - 15*f**3\/2 + 2*f**2 + 194*f - 3. Find the second derivative of z(o) wrt o.\nAnswer: 36*o**2 + 18*o + 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 7*k**2 + 13*k - 34. Give i(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 11546246?\nAnswer: -11546253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 divided by 5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 21*f**2 - 2*f + 46. Let y be z(21). Suppose 54 + 22 = 2*m. Suppose 0 = -3*u + y*u - m. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z + 20. Let r be i(5). Suppose r = -4*t + 3*q + 413 + 320, 3*q = -5*t + 950. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 15*w + 14*w + 37)*(0 + 0 - 1) + (-2 + 2 - 1)*(-3*w + 7*w + 2*w).\nAnswer: -5*w - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1158406*b**2. Let x(k) = -60*k**2. Determine x(c(n)).\nAnswer: -80514267650160*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42097, 23233, 4355, -14543, -33467, -52423, -71417?\nAnswer: -90455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00263412099 rounded to 5 dps?\nAnswer: 0.00263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 14 = 9*g. Suppose -100 = -g*w + 9994. Suppose b - 1522 - w = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + (sqrt(192) - (sqrt(192) + sqrt(192)*-2*-2)**2) - (-1 + (0 + sqrt(192))*-1))*6.\nAnswer: -28762 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times 1363378?\nAnswer: -190872.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = 2*o, -3*o = 4*n - 9*n - 11. Suppose -o*y = -0*y - 12. Let p(u) = u + 6 - y. Let s(q) = -2*q**2. Give p(s(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, e: 1, y: 1, p: 9}. What is prob of sequence ppn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide ((-524)\/(-7) + -2)\/(2*(-3)\/(-140))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i - 3*s + 33, -i + 31 = 5*s. Suppose -i*k - 63 = -9*k. Let m(o) = 23*o + 1. Let w be m(1). Solve g + 2*f - w = -3*f, 4*f - k = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/517161884 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 4730*p**2 + 83404*p + 2553536.\nAnswer: 2*(p - 2347)*(p - 34)*(p + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = -10. Let c(k) = -k**2 - 8*k - 10. Suppose 0 = 2*u + 5*h - 12, -u + 3*h - 3 = h. Calculate the remainder when c(a) is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 1, b: 1}. Give prob of picking 1 r and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 567.85428 minutes in weeks?\nAnswer: 0.05633475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 24 + 10 = 4*n, 2*n - 5*l - 5 = 0. Suppose n = 2*d - 0. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1227249 - 1227249 + 21*p.\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 4*t - 61. Let o be n(6). Put o, 28, 3 in descending order.\nAnswer: 28, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/(-90) + (-4)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -8\/5, 966 in increasing order.\nAnswer: -8\/5, 84, 966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**2 - 12*j. Let t(g) = -g. Let l(k) = 12*t(k) - y(k). Let q(x) = -1. Let u(v) = v + 4. Let p(f) = -4*q(f) - u(f). What is l(p(b))?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 3*t**2 + 3*t - 8. What is the remainder when 113 is divided by q(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086172 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8*k - 9 = -6*k, 4*o - 3*k - 26 = 0. Suppose -4*c = -14*x + 19*x - 25, 0 = o*c + 3*x - 15. Solve d + i - 8 = c, -i + 4*i = 5*d - 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(40)\/(sqrt(8)*2) + -3)*1*-5.\nAnswer: -45 + 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f + 52*f - v - 5 = 0, -4*f - 3*v - 1 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141102101 (base 5) to base 2.\nAnswer: -10110000010011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (19 - 14 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 267020.13 hours in days?\nAnswer: 11125.83875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4388 + 4389. Are b and -23\/82 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25204 rounded to the nearest one hundred?\nAnswer: -25200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 26*h + 33*h - 128*h + 69*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3.672?\nAnswer: -3.672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338206?\nAnswer: 2, 17, 39359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66428 is divided by 15781?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -527177923 by -2302087.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvvddddvvhdvdv. What is prob of picking 2 v and 2 d?\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + sqrt(98).\nAnswer: 1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93425181 to the power of 1\/2, to the nearest integer?\nAnswer: 9666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28, -78, -150, -244, -360, -498?\n\"Answer: -11*k**2 - 17*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 5) in base 7?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 75?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2. Suppose -7*v + 12*v = -20. Let l(s) = 6*s. Let p(a) = -5*a. Let k(n) = v*l(n) - 5*p(n). Give k(b(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6236*l**3 - 372*l**2 + 2*l - 6239*l**3 + 517*l**2 to the form k + y*l + z*l**3 + q*l**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 25872.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 6) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.1179 + -0.0079. Let t = -0.11 + w. Let m = 5 - t. What is the closest to 0.2 in m, 5, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**4\/24 - 3790*l**3\/3 - 2*l**2 - 16*l + 12. Let k(z) = -2*z**2. Calculate k(o(t)).\nAnswer: -2*t**2 - 30320*t - 114912800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -54908 divided by 3\nAnswer: -54908\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49*h**3 - 11 + 5*h**3 + 10 + 14 wrt h?\nAnswer: 162*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 14 = -2*v, o - 1673*v + 1670*v - 26 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 - (-11 + (4 - -4))) + 2767.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18623, 18548, 18425, 18254, 18035?\n\"Answer: -24*d**2 - 3*d + 18650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-3\/5))**44)**(1\/22))**(-1\/28) assuming m is positive.\nAnswer: m**(3\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 207*r - 186*r - 336 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 19. Let v(k) = -k**3 + 9*k**2 + k - 7. Let p be v(9). Suppose -2*l + 5*l + 12 = 0. Sort p, b, l in ascending order.\nAnswer: l, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*z, 17 = 4*m + 4*z + 5. Let l be 45\/(-18)*m\/(-5). Let k be l\/(-65)*(-1)\/(-3). Is k less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**3 - 8*t**2 + 2*t - 5. Let d(x) be the first derivative of x**4\/2 - 4*x**3\/3 + x**2\/2 - 3*x + 302. Determine 5*d(a) - 3*v(a).\nAnswer: -2*a**3 + 4*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 + (-19142 - 7))\/((-2)\/2)?\nAnswer: 2, 5, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uddn when four letters picked without replacement from ueuddddueenddddeddu?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-28) - 5\/(-4))*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 5685289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.3, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 73499, 0, 3, -5, 2.\nAnswer: -5, -3, 0, 2, 3, 73499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -4*c. Suppose l - 3 = c*l, -3*n + 9 = -l. Is n < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x - 270. Let g be (-18)\/x - 8\/3. Let c(q) = -3*q - 6. Let a be c(g). Solve a*h + 19 = 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33778415 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2\/5, 2\/3, -34 in ascending order.\nAnswer: -34, -2\/5, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0*d + 0 - 31\/2*d**3 + 1\/20*d**5 + 198*d**2 + 0*d**4 + 1\/14*d**7 + 0*d**6. Differentiate r(c) wrt c.\nAnswer: 60*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 850662 and 2754?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = 8 - 42. Find the third derivative of -u*j**5 + 2*j**5 + 169*j**6 - 28*j**2 - 120*j**6 wrt j.\nAnswer: 5880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 + 0 = 0. Let i(z) = -3*z + 7. Let c be i(6). Let r = -9 - c. What is the highest common divisor of r and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*i**2*u**3 - 4*i**2*u + 5*i**2 + 21*i*u + 6*i - 58254053*u**3 + 132*u - 7 wrt u.\nAnswer: -36*i**2*u - 349524318*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8) + 1 + (-4)\/(24\/81)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62570 rounded to the nearest one thousand?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*d - 19 = 0, -355*c - d = -352*c + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.217 - 6.217. What is the nearest to 0 in -1, 3, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttttktt. What is prob of sequence kt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d - 62. Let r be l(-17). Solve -5*w = -2*w + r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 62.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 688928.\nAnswer: -551142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1209, 2.5, 1\/4, 6\/5 in decreasing order.\nAnswer: 14, 2.5, 6\/5, 1\/4, -1209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*-3)**2 + -5 - (sqrt(6)\/(sqrt(15)\/sqrt(5)) + sqrt(18)\/sqrt(81))**2.\nAnswer: 19525\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -0.27, 3\/5, -12?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.46 + -0.96. What is the second smallest value in -0.8, -1\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-32) - (690\/(-40) + -15).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00220688 rounded to five dps?\nAnswer: -0.00221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 3*a = 2*a + 4, -16 = -4*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5426 + 219?\nAnswer: -5207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, u: 6, r: 1, v: 7}. What is prob of picking 1 u and 1 v?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4.3, -13, 0.057?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17747*5.\nAnswer: 88735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-2420)*-11*-36.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = w - 5*l + 44, 4*w = -3*l - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3 + 32967*b**2 + 477615*b + 230566 = 0.\nAnswer: -16469, -14, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 5. Let o be i(0). Suppose 1 + 27 = 4*k. What is the third derivative of 2*r**2 + 8*r**o - r**5 - 3*r**2 - k*r**2 wrt r?\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**5\/13 - 1686*n**4\/13 - 102458*n**3\/13 - 50808*n**2\/13 = 0?\nAnswer: -348, -73, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/9919 and -47\/4?\nAnswer: 39676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -326667115*k**4 + 265*k**2 + 118410*k?\nAnswer: -7840010760*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/((-9)\/(-6)) + (-2635)\/13923?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(28))\/sqrt(10) - ((sqrt(48)\/sqrt(4))\/sqrt(4) + ((3*sqrt(48) + sqrt(3))**2 - sqrt(3))).\nAnswer: -507 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 - -26. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 156\/(-18)*(-18)\/12. Suppose o*v - 960 = 8*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/8))**(-36) assuming n is positive.\nAnswer: n**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009944125 rounded to 7 decimal places?\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207412 (base 10) in base 2?\nAnswer: 110010101000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v, -2*v - 75 = -3*c - 6*v. Suppose 460 = -20*u + c*u. Let g = u - 93. Let m(w) = w**3 + w**2 - w. Let h(x) = x**2 - x + 3. What is g*m(s) + h(s)?\nAnswer: -s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31948 and 1186?\nAnswer: 18945164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -504 - -725. Let c = d - 221.306. Let x = 0.3 + c. Round x to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, f: 1, s: 2, m: 11, w: 3, i: 1}. Give prob of picking 2 s.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - n + 646 = 4*n, -5*n - 389 = -2*a. Suppose a = -4*h - 13. Let k = 81 + h. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14579 is divided by 192.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, -4, 7711, 2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 + -0.2. Let i = -16.6 - -16.3. What is the second smallest value in 0.1, i, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)\/w*w)**1 assuming w is positive.\nAnswer: w**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1141 from 2.\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7205262?\nAnswer: 2, 3, 89, 103, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**3 - 7*r**2 + 12*r - 27. Let n be y(-11). List the prime factors of n\/(-8) - (8 - 5).\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.345 + -4.\nAnswer: -3.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -10, -1, 472, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 10:44 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0933 + 0.0633. What is the second smallest value in 0.5, f, 0.1, 2, -14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2847*m**4 - 4*m**3 - 22*m**2 + 1090178*m wrt m.\nAnswer: 34164*m**2 - 24*m - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.068 and 13714.\nAnswer: 932.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/10 - 936\/(-780). Solve z - 9 = -2*z, -j*g - 4*z = -24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 555 divide 6771555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 6:21 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**2 + i**2 + 4*i**2 + (0*i + 4*i - 6*i)*(-2*i + 2*i - 2*i) + (-3 + 0 + 2)*(i**2 - 2*i**2 - i**2).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 4:30 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -63. Which is the closest to -1\/3? (a) t (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 = -85*i - 1275 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -43*t**3\/6 - t**2 + 3*t. Let q(p) = -22*p - 1. Let z(g) = 6*m(g) - 11*q(g). What are the prime factors of z(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2907461.\nAnswer: 59, 49279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.295 - -35.305. Let s = 20 + -52. Let p = u + s. Round p to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4\/3, -0.5, -6\/223?\nAnswer: -6\/223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 4*j**2 + 11*j - 5. Determine g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**7\/21 + 19*v**6\/30 - 9*v**5\/5 - 31*v**4\/12 + 11*v**3\/3 - 3791*v. Determine q, given that d(q) = 0.\nAnswer: -11, -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = 4*l + 41. Let z = -37 + l. Is -3*5*z\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(3 + 2*o**4 - 3) - 1163*o + 5*o**4 + 1167*o + 0*o**4.\nAnswer: 7*o**4 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 - (3 + -1 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:43 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 249 = 3*q. Let x = -52 + q. Suppose -x - 1 = -l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = 5*r - 90, -105697*n + 105696*n + 65 = 5*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -748?\nAnswer: -757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14079734, 14079736, 14079738?\n\"Answer: 2*s + 14079732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263*h*w**4 - 2*h*w**2 - 11836*h*w + 2*h - 3*w**4 + 585*w**3 + 7*w**2 wrt w?\nAnswer: -6312*h*w - 72*w + 3510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -388\/5. Let t(k) = 3*k**3 - 213*k**2 + 10*k - 692. Let i be t(71). Are i and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7271 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707 is divided by 176?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 1:07 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 2*o - o + 4 + o**2 - 10. Let g be x(-6). Suppose -3*i = 5*u - g, -4*u + 0*u = -3*i + 18. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - c + 4725, 7875 = 5*u + c - 3*c. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxxnxnxxxnxxxxxxnxx.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 0.4, -65, -238\/137?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 34*i**2 - 31. Calculate b(-34).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5859)\/186*((-20)\/6)\/5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/3))**(4\/3) assuming s is positive.\nAnswer: s**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/7)*s**(3\/2))\/(s**1\/s)**(-39) assuming s is positive.\nAnswer: s**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -400304.3494 rounded to the nearest one hundred?\nAnswer: -400300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 28. Let q be h(16). Suppose q*g - 60 = -6*g. Let v(j) = 2*j**2 - 4*j + 5. Let x be v(2). Which is the closest to 0.1? (a) -2 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 22*p + 36. Calculate h(26).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -6.6. Let r = 0.05 + 2.95. Let l = r + u. Which is the smallest value? (a) -2\/7 (b) -1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 746*m - 751*m = -20. What is the smallest value in 1\/5, -86\/7, m?\nAnswer: -86\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + -0.05.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1182067, -2364365, -3546663?\n\"Answer: -1182298*y + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*z**5 + 15*z**4 + 6*z**2 - 3*z**4 - 12*z**4 wrt z?\nAnswer: 1380*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, f: 10, a: 2}. Give prob of sequence af.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 149 or 147?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 6*f**2 + 2*f - 9. Let q be l(6). Suppose q*u + 1 = x - u, -x - 2*u = -7. Let h(t) = -t**2 - 6*t - 8. Let g be h(-4). Solve g*k + x = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*y**2 + 115*y**2 - 215*y**2 - 138*y**2 as z*y + i*y**2 + r and give i.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 - 3*v + 10 + 0*v + v wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*d**2 - 454*d**2 + 96*d**2 to the form f + a*d**2 + p*d and give a.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q. Let c(v) = 57203*v**2. Determine c(h(w)).\nAnswer: 5720300*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195 by 39.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 4*m**3\/3 - m**2\/2 - m. Let w be r(2). Solve -w = -7*u + 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**5 - 23*b**2 - 454*b wrt b.\nAnswer: 120*b**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 13 = 5*n + 3, 3*n - 6 = k. Let f be (2 + -2)\/(k + 1). Factor -2\/5*d**3 - 4\/5*d**2 - 2\/5*d + f.\nAnswer: -2*d*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*p = p + 52, 4*o = -2*p + 100. Suppose 2*f - o = -f. What is the remainder when 2 + ((-21)\/1)\/(-1) is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {s: 2, o: 1, t: 6, l: 4}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21289 = -s + 4*n, -11497 - 31065 = 2*s - 4*n. Let u = 10931 + s. Is u\/(-8)*5*(-4)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -32, 4, 683 in descending order.\nAnswer: 683, 4, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/(-546) + 40\/16640*96?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 6*j - 912 + 0*j + 0*j.\nAnswer: 6*j - 912","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61318, -61339, -61394, -61501, -61678, -61943?\nAnswer: -62314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2137*y - 2115*y - 44 = -4*i, 0 = 6*y - 24 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from wgkcfcwrf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/19 in -3\/5, 4, -1\/9, 2\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 25\/33, 5, -1164?\nAnswer: 25\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/7)\/(11\/(-77)). Which is the nearest to l? (a) 4\/3 (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s. Let x(i) = -63*i + 1 - 1. Let l(d) = -4*d - 18. Let y(a) = a - 6. Let r(k) = l(k) - 3*y(k). Let v(h) = -35*r(h) + 4*x(h). Determine v(m(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6634367100 to the nearest 1000000.\nAnswer: -6634000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -23. Let x be 2 - (-2 + t + -4). Let a(q) = -q**2 + q + 1. Let i(z) = 5*z**2 - 2. Determine x*a(s) + i(s).\nAnswer: 3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Let s = 125 + -125.1. What is the closest to n in 1, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 2. Suppose 0 = -4*b + 16 + 12. List the prime factors of l(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(147)*3)\/sqrt(7))\/((sqrt(1008)\/sqrt(4) + sqrt(7) + sqrt(7) + sqrt(7))*1).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**6\/120 - l**5\/12 - 5*l**4\/24 + 175*l**2. Let o(j) = 2*j + 2*j + 4*j**2 + j**3 - 2*j**3. What is 4*d(u) + 5*o(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, r: 2, g: 6, c: 1, h: 2}. Give prob of picking 1 c, 1 h, and 1 z.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 852802 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 543311 times -0.956\nAnswer: -519405.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 - 86 - (5 - (315\/20)\/9)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 5*x**3\/3 + 10. Let z(k) = -5*k**2. Calculate q(z(o)).\nAnswer: 125*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1852 divide 13686772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2461, -4759, -7057, -9355, -11653?\nAnswer: -13951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402*(4\/(-7))\/((-18)\/21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241402337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5507880781 - 0.009.\nAnswer: 5507880780.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 1:36 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39.76 - -452.16. What is o rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 4. Let l be r(-6). Let z be (1\/(-2))\/(3\/(-96)). What is the greatest common factor of l and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 20*l - 54. Let z(d) = -7*d + 19. Let b(f) = 6*q(f) + 17*z(f). Let h(m) = -m + 2. What is -10*b(j) - 5*h(j)?\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 187362?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37226084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 12, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109956 is divided by 491?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*c + 53*c - 2 - 2*c**3 + 4*c**2 to w + b*c**3 + n*c + q*c**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 4:29 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 3 + -2)\/(-2) - 5. Let v be 148 - (s\/1 + 1). Suppose -2*j + 4*q = 17 - v, j = -q + 65. Calculate the greatest common factor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-11) + (-196)\/231)*-3. Let i be (3 + 0)*s\/(-6). What is the nearest to 0.2 in i, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204668498, 204668500, 204668502, 204668504?\nAnswer: 204668506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8*s - 28. Let h be (-16)\/(-24)*(-7 + 1). Calculate the remainder when (-54)\/15*(-10)\/4 is divided by f(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/4, -0.04, -0.03, 0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c*r*s**2 - 2*c*r*s - 18*c*s**2 + 3*c + 3*r*s**2 + r*s - 17*r wrt s.\nAnswer: -10*c*r - 36*c + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*d**2 - 84*d**2 + 53*d**3 - 27*d**3 - 13*d**3 wrt d.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o - 84*o + 33*o + 31*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**3\/6 + l**2 - 2*l. Let c(b) = -1. Let j(t) = 4*c(t) + s(t). What is j(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3686 or 3663?\nAnswer: 3663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2502\/278 + ((-484)\/80 - 3).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1052, -1.\nAnswer: -1052, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biiqbbibbibqb. Give prob of picking 1 q and 1 i.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119928.\nAnswer: 2, 3, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110120111 + 12?\nAnswer: 110120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/(2\/(28\/(-21))). Sort c, -3\/5, 5.4 in decreasing order.\nAnswer: 5.4, c, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 9*f**2 + 8*f - 10. What is the least common multiple of 3\/6 + 15\/2 and m(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -32*a**3 + 11*a**2 + 119*a - 33. Is n(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i - 36 = -4*m, 2*m = 5*i - 10. Suppose 31*x + 30 = 34*x. Solve i*n + 6 = -x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 93*u**2 - 2. Let n(i) = -53*i + 16*i + 15*i + 12*i + 9*i. Determine n(a(s)).\nAnswer: -93*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(19) + sqrt(19) + 2 + 5.\nAnswer: 3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12462534 to the nearest integer?\nAnswer: 3530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -714, -1442, -2170?\n\"Answer: -728*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((65 - 39*o - 65)*(3*o**2 + o**2 - 2*o**2) - 7*o**3 + o**3 + 3*o**3)*(31 - 4*o - 31).\nAnswer: 324*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*h + 5*n - 0, -4*h + 4 = 2*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95958.\nAnswer: 2, 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2. Let a(q) = -911443*q**2. Determine c(a(d)).\nAnswer: 1661456684498*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 125 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(1\/((-1)\/18585)). Let l = 2853657051659527\/204435 + -13958749982. Let i = f - l. Find the common denominator of i and -89\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iikiikkikkik. Give prob of sequence kkk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 10, 18?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 47707, -18, 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8801, 8808, 8819, 8834, 8853?\n\"Answer: 2*q**2 + q + 8798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djajjdy. Give prob of sequence yj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*d - 25 + 3, -4*d = 3*b + 16. Let m(l) = 17*l + 29. Let q be m(b). Round q to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*b**3 + 8*b**3 + 50*b**3 + 7*b**3 - 23*b**3.\nAnswer: 99*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 - 145\/2. Let t = 11\/15 + -4\/3. Sort t, a, -4 in descending order.\nAnswer: a, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**2*m - 43*f**2*n - 5612*f**2*o**3 - 68*f*m*n*o**3 + 2*f*m*o**3 - 3*m*n wrt n.\nAnswer: -43*f**2 - 68*f*m*o**3 - 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r**2 - 8*r**2 + 7*r**2.\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -9, -29, -11.\nAnswer: -29, -11, -9, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3244 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 + 152. Suppose -15*a - l = -19*a. What is the remainder when 3 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*h**2)*(-18 + 37 + 21) to z + m*h + l*h**2 and give l.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76583 (base 10) to base 2.\nAnswer: 10010101100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4410, 4404, 4398, 4392, 4386, 4380?\nAnswer: 4374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2702645, -2702639, -2702631, -2702621?\nAnswer: -2702609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-10))\/((-4)\/10). Suppose 0 = -u*g + g - 12. Let q(r) be the third derivative of -r**5\/60 - 5*r**4\/24 - 5*r**3\/6 + r**2. What is q(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/48 + (-5)\/15. Let s = 196 - 103. Let n = s - 96. What is the biggest value in a, 1\/4, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31342604?\nAnswer: 2, 7835651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5650081379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3135, 12864, 22593, 32322, 42051, 51780?\n\"Answer: 9729*v - 6594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176047680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u**2 - 13 - 10 + 14 in the form f*u + b*u**2 + w and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(1\/26)))**(-1\/64)*b*b**(-11)*b*b**(-1\/15)\/b assuming b is positive.\nAnswer: b**(-251249\/24960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2591 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.35 + -0.05. Let i = 0.7 - n. Which is the second biggest value? (a) i (b) -4\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x + 12. Let y be b(2). Let r be -2 + (0 - (-3)\/(-1 + y)). Let d be 2 - (-5 + 3 - r). Solve g - d = 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 8:44 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -181292065.64823.\nAnswer: -181292065.84823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 11958, 10\/391 in descending order.\nAnswer: 11958, 10\/391, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1871*x**5 + 2*x**3 + 2*x**2 - 77*x + 14?\nAnswer: 112260*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 141*a + 145. Let s be i(-1). Let u(r) = r**2 - 10*r + 31. What is u(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6726949790 to the nearest integer?\nAnswer: 1888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 6:29 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12089*d**4 + 16*d**2 + d + 188169 wrt d?\nAnswer: -145068*d**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873103305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 4:28 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5413 + -4?\nAnswer: 5406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/3019 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 3*f = -69 + 41, 4*l = 5*f + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-8)\/(2\/1). Suppose -t*q + 152 = q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.8020143 + -4\nAnswer: -16.8020143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*b - 1)*(1 + 8 - 2)*(-b + 2*b - 4*b) as f*b + o + j*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 - 23*o + 18. Let a(d) = -11*d - 3. Let b(k) = 15*k + 4. Let y(w) = -4*a(w) - 3*b(w). Calculate y(z(q)).\nAnswer: -6*q**2 + 23*q - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*987.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 + -72 - (3 + -39)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 31723, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -0.61 (c) -12 (d) 3\/50 (e) -186\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 2*j. Let h = 12 + -1. Let k(s) = h*s**2 - 27*s - 6*s + 4*s**2. Determine 2*k(l) - 33*m(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fkffkfkkfff?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1204602 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1\/10 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -362*t + 11. Let m(f) = 354*f - 10. Determine -7*m(l) - 6*y(l).\nAnswer: -306*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/275 and 56\/87478105?\nAnswer: 437390525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2 - 5*k - 6. Let r(n) = n + 1. Suppose 0 - 16 = 16*i. Calculate i*y(a) - 6*r(a).\nAnswer: 4*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-1014)\/52 + 9 - (-1)\/2) - 54?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 211*v**2 - 238 with respect to v.\nAnswer: 422*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (481\/962)\/(1\/(-34)*-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19\/6 (b) -3 (c) -1 (d) -0.66 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3714b + -3?\nAnswer: -37152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124)\/155 - 46\/(-20)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236455 (base 9) in base 4?\nAnswer: 2210202302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 750 (base 8) to base 10\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.027 and -0.029.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -202932*y**3 - 8*y**2 + 3642.\nAnswer: -1217592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 + 20*r - 51. Give m(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7028 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -62219820*b**2 - 62363709?\nAnswer: -124439640*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/(-180)*(-10)\/12\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 34 = -7*p + 5, -4*a + 3787 - 3801 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72\/(-1476) - (-2712404)\/164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4077?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7250 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 567 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 108 - -4?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 1630.5\nAnswer: -1630.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:33 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12))\/(-1)*4\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5154701196?\nAnswer: 2, 3, 43, 223, 44797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 336*l + 391*l**2 + 48*l - 149*l**2 + 161*l**2 + 526*l**2 wrt l?\nAnswer: 1858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 46*y**2 - 3749*y + 126. List the prime factors of g(88).\nAnswer: 2, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22f74 (base 16) in base 5?\nAnswer: 14040340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 836226997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.27524 centuries in millennia?\nAnswer: 2.927524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*k = -3 + 16, -3*y + 19 = 5*k. Solve -73 = y*h - 82 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 205\/15 - 855\/(-135). Solve 24*g - 24*g = v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = -3*v - 2*v. Let c = v - -216. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 435384626 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 12903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2996\/143 - -270\/13. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3720 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9988 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -81 - 3539748?\nAnswer: -3539819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*b = -42. What is the units digit of (-175)\/b + 2\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -220, -335, -558, -925, -1472, -2235, -3250?\nAnswer: -4553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000100000111100 (base 2) in base 4?\nAnswer: 100200330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)*5 + 3 - sqrt(77)\/(sqrt(63)\/(sqrt(27)\/sqrt(3) + sqrt(9) - sqrt(9))).\nAnswer: 3 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4175534 and 14.\nAnswer: 29228738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**2 - 3*z. Let u(i) = -37*i**2. Let s(t) = 7*t**2. Let h(x) = 33*s(x) + 6*u(x). Determine h(f(n)).\nAnswer: 441*n**4 + 378*n**3 + 81*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9572718901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 350719, 701611, 1052503, 1403395, 1754287, 2105179?\n\"Answer: 350892*k - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) 10979 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -118498338 and -4.\nAnswer: -118498342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrroerrrrr. Give prob of picking 2 r.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(5*sqrt(162)*-2 - (sqrt(162) + sqrt(162) + sqrt(162)*-1 + -1))**2.\nAnswer: -792*sqrt(2) + 78417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(408)\/sqrt(8) + sqrt(51)) - sqrt(408)\/sqrt(72))\/(sqrt(30)\/(sqrt(10)*-4 - sqrt(10)) + (sqrt(192) - (sqrt(192) - 4*sqrt(192))) + sqrt(192)).\nAnswer: 115*sqrt(17)\/597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*u + 5. Let r(x) = -x + 14. Let v be r(u). Suppose v*g = 10 - 1. Solve 0 = 2*n + g - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -18. Let s = -1.83544 + 25.83434. Let p = s + x. What is p rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -708, -1423, -2140, -2859, -3580, -4303?\n\"Answer: -g**2 - 712*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from illillieel. Give prob of picking 1 e and 1 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*-1)\/sqrt(5)*-1.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*4\/(-24))\/((-448)\/(-1920)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352, -749, -1412, -2341, -3536, -4997?\nAnswer: -6724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100391128069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dydtddtdedddtddddde. Give prob of picking 2 t and 2 e.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -19 + 3 + (23 - 14).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13\/6, -0.3, -4\/9, 0.2 in decreasing order.\nAnswer: 0.2, -0.3, -4\/9, -1, -13\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4.8. Let d = q - 1. Let p be (((-5)\/65)\/1)\/(14\/28). What is the nearest to d in -4, -2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/8)\/(1\/(-12)). Suppose -12 = -a*g + 5*g. Let v(b) = 6*b - 5. List the prime factors of v(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272297, 544647, 817095, 1089689, 1362477, 1635507, 1908827?\nAnswer: 2182485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2420) + sqrt(2420))\/(sqrt(36)*-2 + sqrt(4)).\nAnswer: -22*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*n + 61176, 2*o + 4*n - 30590 = 7*n. Let m = o - 21489. What is m rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76767 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(88)\/sqrt(4)*3 + (sqrt(220)*-1 - sqrt(220))\/sqrt(10))\/(-2*sqrt(8) - 1*sqrt(8)\/sqrt(4)).\nAnswer: -sqrt(11)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-17)\/153 - ((-15)\/(-18))\/(-5). Which is the nearest to 1.4? (a) -4\/5 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 552*h. Let g(t) be the second derivative of -t**4\/6 + 160*t + 3. Determine b(g(m)).\nAnswer: -1104*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyeyizx. Give prob of picking 1 i and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209480320 - 24*q**3 + 0*q**3 + 209480320 - 15*q**3 + q.\nAnswer: -39*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18403 + 18656. Let x be -3 - (0 + (-38)\/10). Which is the second biggest value? (a) x (b) i (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.08 (b) 5 (c) -1\/2 (d) 0.2 (e) -8714 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1238.3 + 1238. Let s = -590.1 + 590. Let z = -0.9 + -0.1. Which is the second smallest value? (a) h (b) s (c) -3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 3. Let l(x) = x**2 + 1. Let j = 3042 - 3043. Calculate j*u(s) - 3*l(s).\nAnswer: -3*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56 + 3545230?\nAnswer: 3545141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**8*f)\/((f\/f**(1\/8))\/f))\/(f**(6\/7)*f**(-3\/5)))\/(f**(1\/3)*f**(-4)*f\/f**(-4)*f**(-2\/5)\/f) assuming f is positive.\nAnswer: f**(1669\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 + 3*t**5 - 3*t**5 + (-104*t**2 - 1352*t + 1352*t)*(-3*t**3 - t**3 + 6*t**3) - t**2 + t + t**5 - t.\nAnswer: -210*t**5 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/472 and 61\/16.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.0217957 to two dps.\nAnswer: -20.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -235*l**2. Let m(d) = -2*d - 14056. Calculate m(q(i)).\nAnswer: 470*i**2 - 14056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*b - 47, -2*b - 4*f + 7 = 3. Suppose 5*x = 3*l + 15, 38 - 8 = 5*x. Solve -b = l*i - 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5395 and 1508.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 84 = 0. Let j = -28 + g. Let u(l) = -l**2 + l - 15. Determine u(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t**3 - t**2 - 21*t + 21. Let q be n(1). Suppose -o + 15 = q. Factor -o - 5\/4*x**3 - 45\/4*x - 15\/2*x**2.\nAnswer: -5*(x + 1)**2*(x + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17202 and -12.\nAnswer: -206424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) -0.934 (c) -264\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, 1912, 3864, 5816?\nAnswer: 7768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -57. Find the third derivative of -143 - 57*z**d + 274 - 131 - 223*z**2 wrt z.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(88\/(714736\/393))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 2:48 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 3*g = 39 - 26, 0 = -3*b + 5*g - 29 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*o**2 - 18*o**3 - 12*o**3 - o**2 wrt o.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 120966, 120984, 121014, 121056, 121110, 121176?\n\"Answer: 6*y**2 + 120960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*n - 2*l, -3*n + 5*l = -6*n - 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 257.044 * 5.\nAnswer: 1285.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 3:55 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, -138, -422, -956, -1818?\n\"Answer: -13*p**3 - 8*p**2 + 3*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2 + 5. Suppose -238 = -11*t + 9*t. Let y(s) = -13*s. Let a(f) = -391*f. Let o(g) = t*y(g) - 4*a(g). Determine o(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123 + -31301?\nAnswer: -31424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 s when three letters picked without replacement from {s: 5, f: 1, b: 4, w: 2, p: 2}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 34*n - 12. Let w be v(-30). Suppose -1574 = -4*z + 2*m - 388, 3*z + m - 892 = 0. Calculate the highest common factor of z and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3185 and 8645.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2413*r - 46249 = -188616 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**3 + 46*d**2 - 11*d + 9. Let h(z) = -z**3 + 9*z**2 - 2*z + 2. Let c = 46 + -57. Let j(n) = c*h(n) + 2*x(n). Give j(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, d: 6, q: 2}. Give prob of picking 2 o and 1 d.\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - (-1 - 1)) + -6. Let r(d) = d**2 - d - 6. Let p(t) = -8*t**2 + 48. Let a(c) = -p(c) - 7*r(c). Calculate the remainder when 7 is divided by a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358898869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2384342 is divided by 1101?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:06 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k**2 - 11*k**2 + 9*k**4)*(-4 + 1 + 2) - 44*k + 104*k**4 + 44*k.\nAnswer: 95*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)*(i**(-4)\/i)\/i)\/((i*i*i**(4\/7))\/i**(-4\/5)) assuming i is positive.\nAnswer: i**(-503\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 0*c + 1110. Let f = -130 + c. What is the highest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a day in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 10*d = 2*d. Let l = 0 - 1. Is d <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05616955814 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-1 - -1))\/1. Let y = 28029\/8 - 3497. Calculate the common denominator of y and 44\/(-14) + (l - -1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 10. Which is the second smallest value? (a) 5 (b) 0.07 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chc when three letters picked without replacement from {h: 8, c: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.460705mm in meters?\nAnswer: 0.003460705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a factor of 235355526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*i, 4*i + 5 = 2*p + 33. Suppose -2*f + y + 9 = 0, 3*f = 2*f + 4*y + 8. Let l be (5\/f)\/((-1)\/p). Solve l*b + 1 = 2*w - 6*w, -4*b - 7 = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:35 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1172 and -75\/16?\nAnswer: 4688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**13*(v*v**(-1\/3)\/v)**41*((v**(-1))**(-18\/5))**(3\/4) assuming v is positive.\nAnswer: v**(-262\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t*(t*t**3*t)\/t*t*t))\/t**(1\/10))\/(t**(-1\/4))**(-34))**27 assuming t is positive.\nAnswer: t**(-1836\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 1054*d + 31718. What is x(31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 25180*g**2 - 376944*g + 904320.\nAnswer: -4*(g - 6280)*(g - 12)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000116673 rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008032 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*w - 18, -20 - 5 = -5*w - 5*g. What is the remainder when (-56)\/(-12)*(-18)\/(-7) - 2 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let q(p) = -2641*p - 19. Let d(u) = -1343*u - 10. Let z(w) = 7*d(w) - 4*q(w). Give v(z(i)).\nAnswer: -2326*i - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**2 + 3*d**2 + 2*d**2. Let z(w) = 17*w**2 - 5. Let f(c) = 60*c**2 - 18. Let u(x) = 5*f(x) - 18*z(x). Determine u(k(o)).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6}. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 156125933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1506560526 + -1506560555.00000026. Let j = k + 29. What is j rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 8 - 12*m + 7*m)*(4 + 1 - 4).\nAnswer: -m + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 2*i. Let t be c(5). Suppose -9*r + 3*r = -t. Let l be (-3 + 0 + 2)\/1. Put r, 3, l in descending order.\nAnswer: r, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - -0.18. Let o = 0.27 + y. Which is the nearest to -1? (a) 0.3 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31819 - -31797.053. Let z = -0.053 + t. Let a = -22.000095 - z. What is a rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 327200 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-14)\/13 + (-29 - (-41)\/(287820\/205992))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12297804 a multiple of 674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120219012?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152505 (base 6) to base 16.\nAnswer: -3a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 7. Let x be m(-5). Let w = -2.7 - -2.5. Do x and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-47 - -47)\/(1 + 5). Solve -39 = -4*m + 16*g - 21*g, q = 5*m - 5*g - 15 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 - -245. Let g = -192.3 + c. What is the closest to 2 in g, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let h be b\/(2*-1) + 4. Suppose 3*z = 4*d - d + 99, 201 = 5*z + h*d. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 59*h + 101*h - 2*h**2 - 3*h**2 + 11.\nAnswer: -3*h**2 + 160*h + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 4, 14, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**5\/70 - o**4\/42 - 11*o. Factor q(t).\nAnswer: 2*t**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 20 + 39)*(3*p**5 - p**5 - p**5).\nAnswer: 38*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/16)\/(l*l**(2\/13))*(l\/(l*l**(-5))*l)**21 assuming l is positive.\nAnswer: l**(26007\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 8:53 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(68) - sqrt(68)*-2*6 - 5*1*sqrt(68))\/((sqrt(200)\/(sqrt(20)\/sqrt(4)))\/(sqrt(120)\/sqrt(3))).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 111.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = 5*a + 600. Let z be (123\/(-4))\/(12\/(-16)). What is the units digit of (-60)\/a*2*z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Differentiate 21*t**3 - 4*t**b - 21*t**3 - 1 wrt t.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*f - 271*f - 173 = -6*s, -2*s - 2*f = -66. Suppose 6*h - 2*j + 49 = h, -5*h - 43 = -4*j. Let y = 15 + h. Solve -n - n + s = y*c, -n + 4 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/16 - 25740\/(-10080))*7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97895 is divided by 97877?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12417*o**2 + 23227015*o - 23227015*o to the form q*o**2 + b + g*o and give q.\nAnswer: 12417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9153045345 to two decimal places.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b**2 - 6*b**2 - 5*b**2 - 6*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8\/152)\/(0 - (-2)\/(-4))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 335 = 5*w, w + 260 = -2*o - 3*w. Let l = o - -131. Solve 2*u + l = -d - 2, 21 = -d - 4*u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 16832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {v: 6, d: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(-2 - z + 2) + (-1 + 2 + 2)*(-5*z - 8*z - 2*z) as u + n*z and give n.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -12261.63\nAnswer: 36784.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from {m: 3, a: 4, y: 6}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 11:33 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 - -148. Let m(t) = 4*t**3 - t**2 - 3*t**3 - t + 3*t**2. Calculate m(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, -2, 1\/4, 5, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1454*l + 25*l**3 + 1459*l + 1461*l - l**2 - 4372*l - 2*l**2. Let v(g) = 51*g**3 - 7*g**2 + 5*g. What is -5*c(i) + 2*v(i)?\nAnswer: -23*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.967 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**4 + 9*j**3 + 12*j**2 + 10812*j wrt j?\nAnswer: 12*j**2 + 54*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 310180*s + 1861008.\nAnswer: 2*(s - 155084)*(s - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18\/259 (b) -4 (c) 3\/16 (d) 0 (e) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13925 + 1934. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14463457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 402\/12 - (-1)\/2. Suppose -4*k = l - 42. Solve k = -4*t + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1279 and 228906467?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*d - 29*d + 58*d - 4*k + 7, 4*k + 131 = 5*d for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1382275, 1382337, 1382441, 1382587?\nAnswer: 1382775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s + 6. Let j be b(0). Calculate the highest common divisor of j and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - q. Let o be w(-1). Let v = 11 + -6. Let y(k) = k**2 + 14*k - 152. Let g be y(7). Sort o, g, v.\nAnswer: g, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -119\/125 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -4 (c) -117\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1923\/5 - -7267\/20. Let z be -23 + 2 + 0\/(-3). Let q = z - g. Which is the second smallest value? (a) q (b) 3 (c) -3 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-2 - 152\/(-78)). Let x(s) = s**2 + s - 5. Let b be x(-3). Does g = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -1\/6, -7\/9 in decreasing order.\nAnswer: -1\/6, -1\/5, -7\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*g + 53, 0 = -g - 4*m - 5 - 0. What is the lowest common multiple of g and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - ((-45 - 91) + 158).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*d + 3*d - 10 = 0, 2*n - 4*d + 4 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 413781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*u**5 - 2*u - 3 wrt u.\nAnswer: -820*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -78.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.473 (b) 3 (c) 501\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 17. Calculate o(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 7:54 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 559 - 65. Calculate the remainder when x is divided by 125.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27041631 (base 8) in base 13?\nAnswer: 13392a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.046+-24218\nAnswer: -24217.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 578047647 greater than or equal to 578047646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -233 and -0.02797?\nAnswer: 6.51701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, d: 1}. Give prob of sequence ww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - (-2)\/(-1)) + (33 - 34)*3.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - 13) + -24 + (115 - 3) + -9.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w + 1. Suppose -4*h + 11 = -w. Find the second derivative of -6*z**h + z + 5*z**3 - z**3 wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/3)\/((-20)\/(-6) - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*h - f + 64, -41 = -2*h - 5*f. Let a = h + -12. Calculate the highest common factor of a and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782*y - 155 - 1510 + 84 = 765 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 10 = 5*t, 4*q + 4*t - 6 = t. Let x(u) = -7 + 0 + 2 + u. Let l be x(q). Let m(z) = -z**2 - 7*z - 5. Calculate m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1374 divided by 121?\nAnswer: -1374\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 - 18*a - 4. What are the prime factors of c(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/22018738 and -73\/10828.\nAnswer: 44037476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, b: 2, y: 2, w: 1, i: 3}. What is prob of picking 1 i, 2 b, and 1 u?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9)**(-11\/4) assuming r is positive.\nAnswer: r**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -366*k - 4. Let m be n(0). What is the closest to 0.1 in m, 5, -24?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2) - -2)*34. Suppose 5*b - 3*w + 18 + 7 = 0, 0 = 4*b + 5*w - z. Round b to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5674092 (base 10) to base 5\nAnswer: 2423032332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12275.3 + -12275. Which is the third smallest value? (a) -3\/4 (b) u (c) -32 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 6*x**2 + x - 8. Let c be 16\/(-20)*(-30)\/4. Let v be u(c). Which is bigger: v or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.3, 2, 2\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 3*h**2 + h - 2. Let l be r(-2). Suppose 2*x = -6 + l. Let y = -9 - -5. Sort x, 3, y.\nAnswer: y, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0.1. Let m = 2.04 - 0.04. Let x be 2\/(-8) - (-11)\/12. Which is the closest to -1\/3? (a) x (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46510841 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 20*h + 18. Let t be o(9). Let d = -2.2 + 1.9. Let v = 0.4 + 0.1. What is the nearest to t in v, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 46 = n, 524*n - 519*n = -8*t - 106 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1177\/5 - -236. Which is the nearest to f? (a) 0 (b) -0.3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154903 times 53?\nAnswer: 8209859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 22*q**3 + 108*q**2 - 15*q - 7. Calculate b(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1091272 and 0.\nAnswer: -1091272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/90)\/((-9)\/5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*a**4 + 305*a**3 + 6*a**2 + 156*a.\nAnswer: -1536*a + 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -27 - -54 - (47 - 1) - (0 - -80).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*l - 2006, -2*l - 6*t = -11*t - 1326. Let z = l + -382. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 25*v**2. Let a(t) = -507*t**2. What is f(a(s))?\nAnswer: 6426225*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838734 is divided by 231?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117114118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -879*z + 3506. Determine i(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1)*-4*1. Suppose 0 = -q - w + 13, q + 0*q - 4 = -n*w. Suppose -q + 0 = -8*z. Solve z = -k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2792*z + 92771. Give y(33).\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96667.32 months in decades?\nAnswer: 805.561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-416)\/(-728) + (-1)\/(-35)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, -15259.\nAnswer: -15259, -2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1652955, 1652994, 1653059, 1653150, 1653267?\n\"Answer: 13*i**2 + 1652942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2420799*o**2 + 1210410*o**2 + 1210389*o**2 + 83*o**3.\nAnswer: 83*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475895, 475894, 475893, 475892, 475891, 475890?\nAnswer: 475889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1457.13 and 0.0571.\nAnswer: 83.202123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 4. Let o be c(-3). Solve o*j - 5 = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/25 - (-5660434)\/2075 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 761177 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/40*(-59 - 1). What is the remainder when ((-3)\/(-2))\/(9\/b) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3838 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2*q**2 - 4*q**2)*(-2*q**2 + 3*q - 3*q) + 6*q**4 - 6*q**4 - 9*q**4 + 11*q**3 - 2*q - 11*q**3 + q**4.\nAnswer: -6*q**4 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29784330 divided by 9928110?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 = 12*a + 235 - 534 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4))**19\/(x\/((x*(x**(2\/3)*x)\/x*x)\/x)*x**0) assuming x is positive.\nAnswer: x**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2702\/9 + 300. What is the second biggest value in 3\/4, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m + 1064. Let x(z) = 12*z + 2123. Calculate 5*o(h) - 3*x(h).\nAnswer: -h - 1049","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x - x + 6*x)*(16*x + 161 - 161) to the form r*x + o*x**2 + m and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/8060 and 19\/3640?\nAnswer: 112840","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is the next term in -15, -14, -13, -12, -11, -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 344, -2\/5, 1\/3, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 12*b**2 + 19*b - 10. Let f be x(-10). Which is smaller: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 3*r - 3*r)*(-1988*r**3 - 11*r**3 + 181*r**3) - 2 + 2*r**4 + 2 in the form n + y*r**3 + h*r + d*r**2 + a*r**4 and give a.\nAnswer: 3638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = -r, r - 6*r = -3*b - 9. Suppose -3*x + 4*x + r = 0. Let i be x\/(-6) - (-18)\/4. Solve 0*y = i*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 87, 319, 743, 1401, 2335, 3587, 5199?\n\"Answer: 7*i**3 + 54*i**2 + 21*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3672752 rounded to three dps?\nAnswer: -3.367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.6903 to the nearest integer.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 49 = -18*v + 13*v, -2 = -2*j for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12677353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 189\/4 - 3\/4*t**2 - 93\/2*t.\nAnswer: -3*(t - 1)*(t + 63)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 - 29) + 416 - (2 - 1). Solve -402*j + z*j = 7 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3\/2 - 321*q**2 - 66613*q\/2 - 32985 = 0. What is q?\nAnswer: -90, -1, 733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 63) + (26 - (31 + (-47 - -30)))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 945993157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-27 - (15 + -89 - -3)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from ioiiooiiiii.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2293 divided by -7.\nAnswer: 2293\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10302130 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 w(v) = -23*v. Let m(l) = 14*l**2 + 37 - 22 - 12*l**2 + l - 15. What is m(w(c))?\nAnswer: 1058*c**2 - 23*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i**2 - 1367*i + 102. Calculate f(-114).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -132242266.3 rounded to the nearest one million?\nAnswer: -132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/40)\/(12\/5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1086 or 483?\nAnswer: 1086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, d: 9, i: 6}. What is prob of sequence dw?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5b99 (base 14) to base 3\nAnswer: 210222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**2 - 5 + 3*a**2 + a**3 - 2 + 5 - 2*a**4 in the form s*a**4 + n + c*a**2 + l*a + b*a**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**2\/7 + 108*v\/7 + 368\/7 = 0 for v.\nAnswer: -23, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2584, 2572, 2560, 2548?\nAnswer: 2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 9*q - 7*q. Let m = 6 - 2. Let g = 11 - m. Calculate the greatest common factor of g and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x + 3. Let m be (-6)\/27 + 43\/(-9). Let o(n) be the third derivative of n**6\/120 + n**5\/10 + n**4\/8 - n**3 + 9*n**2. Let u be o(m). Determine s(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17705 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54622.\nAnswer: 2, 31, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -81462512 divided by -5091407?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 214.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26997*u**2 + 44539*u.\nAnswer: 53994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 2*c - 26, 22 = -d - 2*c. Let i = 28 + d. Calculate the greatest common divisor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -1*(183 - -1 - -5)*-1 and 4?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -253*f + 640. Let r(s) = -73*s + 213. Give -2*m(b) + 7*r(b).\nAnswer: -5*b + 211","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 75. Let f be (-2)\/8 + x\/(-4). Is 390*f\/8*-2 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.1. Let f = 23616 - 23612. Which is the third smallest value? (a) 5 (b) 6 (c) f (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 17 - n + (1 + 2 - 1)*(2*n - n - 2*n) - 4*n + n + 2*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -7747\nAnswer: -46482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*s = -3, 105*k - 110*k - 4*s = -9. Solve 137 - 127 = k*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 8, -6, 0.17, 1\/14, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 4*w - 2*m - 21, 2*m = 4*w - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 89?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9*(-12)\/18)\/((-2)\/(-3)). Let d(n) = -16*n + 45. Let l be d(v). Let s = l + 149. Calculate the remainder when s is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50.80335 - 22.\nAnswer: -72.80335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -25*l + 891. Give g(6).\nAnswer: 741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 8*p = 36. Let s be (56\/6)\/((-12)\/p). Let q = s - 21. Sort -5, q, 2 in descending order.\nAnswer: 2, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**6\/120 + x**5\/12 - 5*x**4\/12 + 8*x**3\/3 + 23*x**2 + 61. Give b(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -17*r + 1488. Calculate the highest common divisor of r and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -7372?\nAnswer: -7377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16613 by -11.\nAnswer: 16613\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 4*w - 5. Suppose 0*m = -m + 13. What is the remainder when m is divided by s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*v + 32 = 0, -2*g + 6*v = v + 38. Is -22 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12651 - -240368\/19. Which is smaller: l or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4128324 to the power of 1\/2, to the nearest integer?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202020 + -11001201211?\nAnswer: -10221222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120 = 760*s - 750*s. List the prime factors of (-30)\/14 + 2 - 136096\/s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 310 and 22?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 15*q + 20. Suppose -q*b - b - 4*g = -18, b = g - 1. Let r be 44\/6 - 1\/3. Solve r*t = b*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28\/11? (a) 4 (b) 2\/9 (c) 3\/11 (d) 0 (e) -2\/9 (f) 127\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-2\/21)*b))\/(b\/(b*b\/b**19*b*b))*((b\/(b**(-12)\/b)*b*b)\/b)\/b*b**14 assuming b is positive.\nAnswer: b**(254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7 + 0.3. Let z be 4\/18 - 1\/45. Which is the smallest value? (a) z (b) y (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(3\/(-42)*-7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from vnazaanaasaaavaaaaav?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 + -3aa?\nAnswer: -41c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1824970893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*((-20)\/5 + 0). Let w(g) = 16*g**2 - 5*g - 3. What is the tens digit of w(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 10) + -21 - -19\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130.97*-0.1289.\nAnswer: -16.882033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 4*v**2 - v - 7. Let r be s(4). Let h = r - -85. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*g + 2, -u + 3*u - g = 23. Let a = u - 5. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 341, 681, 1017, 1349, 1677, 2001, 2321?\n\"Answer: -2*x**2 + 346*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 3080?\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 a, and 1 g when four letters picked without replacement from galmmagqtttqgmaalaq.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by -732627.\nAnswer: -16\/244209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*t - 205 + 33 = -146*t. What is i in -8\/5*i**3 + 6\/5*i**4 + 0 + 8\/15*i**t + 0*i = 0?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355330?\nAnswer: 2, 5, 35533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3121*z = -3116*z - 190. Calculate the remainder when z is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53196 divided by 1.\nAnswer: 53196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v**2 - 5*v + 2. Calculate x(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 5*k + (-4 + k + 4)*(0 - 6 + 4) + 3*k - 5*k - k - 5 + 5 + 3*k)*(-1 + 1 + 1).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.293184599 to two dps.\nAnswer: -5.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26609*w**2 - 16158.\nAnswer: 53218*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 4}. What is prob of sequence ymm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -400022320 (base 5) to base 2.\nAnswer: -101111101110110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1878 divided by -3?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.3 - 10. Let g = 7 - 12. What is the closest to -2\/7 in g, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 103137.\nAnswer: 5\/103137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112210000102 + -11?\nAnswer: 11112210000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469, -1894, -4269, -7594, -11869, -17094, -23269?\nAnswer: -30394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87548.\nAnswer: 2, 43, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 473, 938, 1403, 1868, 2333, 2798?\n\"Answer: 465*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3581 + 3591 = m - j, 3*m + 4*j - 16 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -647 less than or equal to -648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.187396 to 3 dps.\nAnswer: -2.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2682208 divided by 79.\nAnswer: -33952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44, -36, -28, -20, -12?\n\"Answer: 8*g - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2680*h**2 + 30 - 1 - 41 + 12.\nAnswer: -2680*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5 + 3 - 3*f + 2*f - 6. Let q be d(0). Solve 0 = -5*n, w + 0*n + q*n = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.331 millimeters in kilometers?\nAnswer: 0.000136331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, c: 2, y: 1, q: 1}. What is prob of picking 2 k and 1 y?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/121145 and -65\/4?\nAnswer: 484580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 8*x + 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7754.651 litres to millilitres.\nAnswer: 7754651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -274*y**2\/3 - 2999092*y\/3 = 0.\nAnswer: -1499546\/137, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -8. Suppose -2*w = -q - 3, -r*w + 7*q + 26 = 9*q. Solve w*i = -a + 9, a = 2*a - 3*i - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 13 = -j, -2333 = -2*f + 3*j - 2369 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**3 - 30*l**2 + 26*l - 72. Determine b(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -9.1. Let o be 170\/45 - 4 - 1078\/252 - -4. Which is the nearest to 1? (a) s (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125743506 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4473, 6880, 9287, 11694, 14101?\n\"Answer: 2407*a + 2066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 56 = 2*r + 2*i, 3*r - 88 = -i. Let d(k) = -r*k - 5*k + 28*k. Let h(f) = f. Determine -d(n) - 9*h(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 516*k**6 - k**5 + 2*k**2 + 183?\nAnswer: 61920*k**3 - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/4680059 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17387 or 17485?\nAnswer: 17387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/7 - 428231*y\/7 + 2141180\/7 = 0 for y.\nAnswer: -428236, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -1 - 15. Let x be u\/46 + (-2479)\/(-10787). Factor 0 + x*l - 1\/7*l**2.\nAnswer: -l*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4934*h + 2468*h - 420 + 2464*h as p + y*h and give p.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 1 = -g, 625 - 624 = -g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 61 = -2*d + 10, -12 = 2*u - 2*d. Let m be ((-532)\/(-21))\/(3\/u). Let y = m + 222. List the prime factors of y.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17\/32511 and -5.43 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 223 = -57. Is u < 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2988? (a) 0.17 (b) -3\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -348.6 - -1019.6. Which is the second smallest value? (a) 1\/2 (b) 0 (c) -1\/3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5 + 20, -p - 1949 = -4*o. Does 27 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j\/(j*j**9)*j)\/(j*j\/(j\/(j\/j**1*j)*j)))**(-28))**(-7\/8) assuming j is positive.\nAnswer: j**(-343\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 + -0.9. Let g = 79763\/4 + -19940. Sort -166, z, g.\nAnswer: -166, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5 = 3389*z - 3391*z + 10, -7 = z - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*l - 457*l = -345720. What is the remainder when l is divided by 107?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 2. Suppose -f + 7 = -h. Let p(z) = 12*z + 4. Let k(y) = -8*y - 3. Let w(i) = h*p(i) - 8*k(i). Differentiate w(m) with respect to m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = -0. Let c(y) = -9*y**2 - 9*y + 7. Let b(h) = 5*h**2 + 5*h - 4. Let v(i) = -7*b(i) - 4*c(i). Let u be v(o). Solve 4*m - 16 = -u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 905747.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**3 - 5*j**2 - 5*j - 5. Let y(v) = -4*v**3 + 4*v**2 + 4*v + 6. What is 4*h(x) + 5*y(x)?\nAnswer: -4*x**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2432531 - -4?\nAnswer: 2432535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837.\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 85*b**3 - 25*b - 25. Let l(v) = 14*v**3 - 4*v - 4. Determine 25*l(d) - 4*n(d).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0.4. What is the smallest value in 5, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 648956 in descending order.\nAnswer: 648956, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -2\/5, -0.1.\nAnswer: -4, -2, -2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.829 plus 15.3737218?\nAnswer: 17.2027218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763806 + 0.126?\nAnswer: 1763806.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -8*g + 12. Let z = 7 - g. Solve 0 = -z*u - 28 + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1323121113 - -2?\nAnswer: -1323121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48679?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 2*r + 3. What is the remainder when q(7) is divided by (-4)\/(-1) + -3 - 180\/(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -2\/3, 0.3, -1\/6, -1061?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1152 and 5886.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 303*q**4\/8 + 15151*q**3\/8 + 28507*q**2\/4 + 13985*q\/2 + 23 = 0.\nAnswer: -46, -2, -1\/303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 7703.\nAnswer: -5\/7703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5*s = 0, -4*o + 3*s = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 3\/(-1))*-1. Suppose 0 = y - 4 + d. Suppose -y*i = -i. Solve -2 = v - i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 + 136 - 154*f - 66 to n + z*f and give z.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2, -50, 1, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11072*5590.\nAnswer: -61892480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74*g**4 + 8*g**2 + 368?\nAnswer: 296*g**3 + 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*b - 21. Solve b*c = 2*m - 16, -c - 7 = -3*m + 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2 - 4 - 0). Let g(v) = -v + 4. Let c be g(r). Suppose -x - c*x = -25. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q + m - 1, -2*q = 3*m - 2. Put 1, q, 2 in increasing order.\nAnswer: 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21075*i - 5*q = -21072*i - 49, 3*i + 48*q = 264 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1744 divided by -17.\nAnswer: -1744\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3250 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 29 (c) 3 (d) -5\/238 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 310693182?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 2*f + 3. Suppose 6 = 5*d - 8*d. Let q be o(d). Suppose 5*i - 9 - 11 = 0. Solve p = -i*l - 4, -2*l - 10 = q*p + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 11) in base 4?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10653*h - 138058. Determine g(13).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 16.61931.\nAnswer: 19.61931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**3\/6 - 5*u. Let c(w) = 2 - 2 + 3*w. Calculate k(c(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-12)\/(-40)*(-10)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3120232 (base 4) to base 12\nAnswer: 803a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -35147.\nAnswer: -4\/35147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4221 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3 (b) 0.4 (c) -7\/8 (d) 1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110110100000010001 (base 2) in base 3?\nAnswer: 2212221012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, 1, -6\/7, -1452?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - o + 4. Let l be s(0). Let r be -2*l\/(32\/(-12)). Let w(u) = -5*u - 3. Let k be w(-2). Solve -k*t + r*t - 20 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -0.7\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u = -19*u + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21294 minus 1784.84338?\nAnswer: 19509.15662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/((z**(-18)\/z)\/z))\/z)**(5\/3)*(z**(-4)\/z*z)\/z**(1\/5) assuming z is positive.\nAnswer: z**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -257, -374, -491, -608, -725?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 123061*h**2\/3 + 102*h = 0.\nAnswer: -306\/123061, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 144, -310*q + 76*q + 86*q = -79*q - 74*q + 2*c + 106 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 391442636099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x - 135 - 473 = 960 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 7:19 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17825*g**2*r**3 - 124*g**2*r + 10*g**2 - 41*g*r**4 + 159*g*r**2 + 2*r**2 + 1 wrt r.\nAnswer: 106950*g**2 - 984*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -63, -90, -115?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/28*12\/(-360)*3. Let l(u) be the first derivative of 9\/35*u**5 - r*u**4 - 10 - 1\/14*u**6 + 0*u - 3\/7*u**3 + 3\/7*u**2. Find t such that l(t) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 3*o**2 + 3*o - 1. Let y be q(-4). Let l = -1\/75 - 8\/25. Put 2\/19, l, y in decreasing order.\nAnswer: y, 2\/19, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*t + 2*t, -4*m = 4*t - 8. Suppose v - 3*g - m = 0, -2*v + 5*g = 3*g - 10. Put 5, 0, 4, v in descending order.\nAnswer: v, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 22 - 33 = 0. Solve 0*c - i*c = 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v + 5. Let u be (-3)\/(-6) + 5\/(-2). Let g = 20 - 18. Let s = g + u. What is f(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/332, -137, 1, 3\/5, -1\/2?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 10 (b) 1.1 (c) 5 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -128430 times -2\nAnswer: 256860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194 - 2430893.\nAnswer: -2431087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 478701 and -2.0241?\nAnswer: 478703.0241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4389, 4387, 4385, 4383?\n\"Answer: -2*q + 4391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 3*q**2 + q. Let w be m(2). Let y be (-1 + w + -4)*-6. Let p be 2\/11 + 0 + y\/33. Solve p = -2*f - 3*f + 3*l - 28, -3*f - 2*l - 13 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6911 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1933556 to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 91, 115, 1, -26 in decreasing order.\nAnswer: 115, 91, 1, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {x: 3, o: 4, f: 1, t: 1, m: 1, u: 5}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 758, 1671, 2920, 4493, 6378, 8563?\nAnswer: 11036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*o + 110, 3*o + 5*i - 78 = 76. Suppose -5*u - 128 = -0*u + x, -3*u + 5*x - 60 = 0. Let b = u + o. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101001000000100 + 100?\nAnswer: -1111101001000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.716326 hours to weeks.\nAnswer: 0.28402575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**3 + k**2 + 2*k - 7. Let y(m) = -6*m**3 - 2*m**2 - 5*m + 16. Let b(x) = -5*r(x) - 2*y(x). Let g(i) = 4*i**3 + i**2 - 2. Give 2*b(h) + 3*g(h).\nAnswer: 6*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + z = 6*z - 2, q = -5*z + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8 - z**2 + 6*z**2 + z**3 - 13 - 2*z - 6*z. Let p be w(-6). Suppose 3 - p = i. Put i, -1, 5 in ascending order.\nAnswer: i, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 295354*d**2\/11 + 18*d\/11.\nAnswer: 2*d*(147677*d + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003696 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7345685?\nAnswer: 5, 19, 77323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 114.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97702 is divided by 24413.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 106430, 212808, 319142, 425432, 531678, 637880, 744038?\n\"Answer: -22*r**2 + 106444*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/((-1200)\/888))\/(86\/516).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5 - 102*m**4 + 172*m**3 + 1256*m**2 - 3984*m + 3136 = 0?\nAnswer: -4, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90817*w - 20105?\nAnswer: -90817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5684, 11371, 17058?\nAnswer: 22745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1323 = -5*f - 4*p, 0 = -2*p + 2 + 4. Suppose 4*t + 33 - 9 = 2*q, -2*q - 4*t = -48. Calculate the common denominator of -3\/5 and (-3)\/3 + f\/q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22 + -2)\/(-17100)*(-5)\/2. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249845.453 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391923 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1991344 and -0.06?\nAnswer: 119480.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q. Let d(y) be the first derivative of 15*y**2 - 278. Determine s(d(l)).\nAnswer: 330*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - u - 1. Let k be (5\/2 + -2)*2. Let n(b) = -5*b**2 - 5 + 2*b - 3*b - 3*b. Let z(w) = k*n(w) - 4*g(w). Find the first derivative of z(i) wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 874.9508ng to milligrams.\nAnswer: 0.0008749508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66920 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38582669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1668, -1292, -664, 216, 1348?\n\"Answer: 126*t**2 - 2*t - 1792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q. Let s(l) be the third derivative of 0*l + 0*l**3 + 1\/6*l**4 + 2 - 4*l**2. Let k be (-6)\/2*(-8)\/6. Determine k*o(h) - 6*s(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*y**2 + 0*y**3 + 0*y + 0 - 2\/5*y**4 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 74. Which is the third biggest value? (a) -30 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-20) - 44\/(-10). Let t = 8 - l. Let a = 14 - t. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 27.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1465652 + 0?\nAnswer: 1465652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*440\/77 - (-12)\/42.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 23414?\nAnswer: 70242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 take away -26107.4219?\nAnswer: 26107.2919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/14274 and -43\/24.\nAnswer: 57096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.86 + 25.14. Let w = -5 + x. Let p = 20.5 - w. Which is the biggest value? (a) p (b) -1\/3 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-15) + (-8)\/5 + 2. Suppose u*i = 13*i - 8983. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 15, 4*b - 9*b - 3*t = 5. Let o be (2\/5)\/(3\/90). Let n be (o\/(-8) + 2)*0. Solve b*g + n*g = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11614 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 826 and 22?\nAnswer: 9086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-423*l + 423*l + 18*l**3)*(-3 - 3*l + 3 + (0 - 2*l + 0)*(1 + 0 + 0) - 5*l + 6*l + 0*l).\nAnswer: -72*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58853?\nAnswer: 229, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -505*t**5 - 17750*t**4 + 16060*t**3 + 20450*t**2 - 15555*t - 2700 = 0. Calculate t.\nAnswer: -36, -1, -15\/101, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, s: 6, r: 3, q: 1, f: 1, p: 1}. What is prob of picking 1 f, 1 s, and 1 b?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/12 and -107\/938.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009677609 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - 2300133?\nAnswer: -2300031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 6\/19, 2\/9, 1561, -2?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 780*s - 1558*s + 6*s**4 + 779*s - 170 with respect to s.\nAnswer: 24*s**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-1 - 7)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.09 (b) 2\/43 (c) 1\/2 (d) -4\/7 (e) 411 (f) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*m - 4*q + 5 = -50*m, -19 = 8*m + q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4764 + -4769 + (-3 + 5 - -69).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l - 5. Suppose 7*r - 21 = -0*r. Let y(t) = -3*t - 4. Give r*m(w) - 4*y(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*o - 35. Let y(f) = -f**3 + 7*f**2 + 1. Let l be y(7). What is the highest common divisor of o and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 360.8, 9, 0.4, -34?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000222 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*n*o**3*x**3 - 24*n*o**3 - 4*n*o**2*x**3 - 2*n*x**3 - 3*o**2*x + 8 wrt o.\nAnswer: 72*n*x**3 - 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**4\/6 + w**3\/6 - w**2. Let r be l(5). Suppose r = -2*o + 5*o. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5703556, -5703540, -5703524?\n\"Answer: 16*r - 5703572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 39018*c**2 + 126788955*c + 507780300.\nAnswer: 3*(c - 6505)**2*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + q**2 + 2*q**2)*(5*q + 0*q - 4*q) + (-6*q**2 + 5*q**2 + 2*q**2)*(52*q - 10*q + 133*q).\nAnswer: 174*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2976\/320 - (-3)\/(-10). Solve 24 = -j*d + d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1 (b) 17 (c) 1\/13 (d) 2 (e) -0.2 (f) 16.2 (g) -5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -147*b**3 + 5*b**2 - b + 5. Let y be i(-4). Let j = y + -5762. Suppose 0 = q + 3*l - 751, -5*l + j = -q + 6*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(4\/3)\/j**(-1\/3)*(j*j**(-1))\/j**(-6\/7))**(5\/4))**9 assuming j is positive.\nAnswer: j**(795\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 111111001102 (base 3) to base 9\nAnswer: 444042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 7:40 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -309 * -1.54.\nAnswer: 475.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 20*v - 64. Let s be h(-4). Suppose -19 = -3*x - 2*m, 5*m = -x + 25 + 3. Solve s = -x*f + f + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 28*w**2 + 7*w + 1. Is y(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 314 = -4*p, -3*p = 5*x - 1056 - 491. What is the highest common divisor of 2201 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 21 - 9)*(2 - q**2 - 2) + (6*q + 2*q - 4*q)*(3*q - 4*q - 2*q) - 4*q**2 - q**2 + 4*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208 is divided by 153.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 0)\/(2 - 3). Let c be 1\/(-4) + (-226)\/(-8). Let d be (-6)\/21 - (-1)\/c. What is the nearest to y in d, 0.4, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 59\/5 + (137 - 149) - (-9392)\/10. Calculate the greatest common divisor of y and 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -4 - (-50 - -17)) + -1 + 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25428*h = 3*s - 25424*h + 31, -s + 4*h - 4 = -h for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 4:11 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*i - 156*i - 90 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-55)\/(-22)*(-2)\/10*0. Let n(k) = k**2 + k + 2. Let o be n(0). Suppose 2*m - 10 = -0*m. Sort r, o, m.\nAnswer: r, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000488395618 rounded to six decimal places?\nAnswer: -0.000488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18139859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 7*q - 3. Let t be g(6). Let p be 17 - -1*(-3 - -1). Solve 3*z - t*m = p, 5*m + 16 = m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/31)*c**14*c*c\/((c*c*c*(c*c**(-4\/3)\/c)\/c)\/c)*c**(-1\/4)\/c assuming c is positive.\nAnswer: c**(5599\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8411, 16896, 25383, 33872?\n\"Answer: d**2 + 8482*d - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-56) + (-30)\/(-28). Put -32, 0.03, k, -2\/11 in descending order.\nAnswer: k, 0.03, -2\/11, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 + -3)) + -2 + (-9 - -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.67 and -529571.95.\nAnswer: -529571.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/(-9) - 68\/(-20). Which is the nearest to -3? (a) 2 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*d**4 + 1638776*d**3 - 75*d**2 + 522*d + 53 wrt d?\nAnswer: 936*d + 9832656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**3 - 6*l**2 + 7*l + 52. Let n be g(-7). Let h = -837 + n. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 1991*g. Let m(x) be the second derivative of x**4\/6 + 25*x. What is y(m(p))?\nAnswer: -4*p**4 - 3982*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*j - 107 = -10*r, 0 = 5*r - j - 119. Let u = 28 - r. Factor -v**3 - 4*v**3 - 4*v**2 - u*v - 2*v**4 + 0*v**3 + 4*v.\nAnswer: -v*(v + 1)**2*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 245433, -9, -4 in ascending order.\nAnswer: -9, -4, 245433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*a**3 + 1 - 1 - 39*a**3 + 69*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.084 - 416906130\nAnswer: -416906130.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (175\/(-560)*(-16)\/110)\/(1\/(-2))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102538?\nAnswer: 2, 167, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1669581679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. Suppose -4*f + 5*f + w = 0. Let o = 1 + f. Put -3, o, 4 in increasing order.\nAnswer: -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, -140, -349, -648, -1043?\n\"Answer: -q**3 - 36*q**2 - 10*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 85758.64 centuries?\nAnswer: 8575864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18685 or -52?\nAnswer: -18685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -211929, -418618, -625307, -831996?\n\"Answer: -206689*j - 5240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 165\/40 + 1. What is the smallest value in -1\/9, -3\/8, w, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + sqrt(243)*1 + sqrt(243)*1*-1 + sqrt(243) + (-3*(1*sqrt(243) - sqrt(243)) - sqrt(243)) + 1)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2428008mg to kilograms.\nAnswer: 0.0000002428008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178 by -3.\nAnswer: -178\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 111001011001010110101001?\nAnswer: -111001011001010110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 88?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4926\/17 + -219494\/765. Let h(k) be the first derivative of -8 + 8\/15*k**4 + 0*k + l*k**3 + 2\/75*k**5 + 0*k**2. Factor h(d).\nAnswer: 2*d**2*(d + 8)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14774 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/8)\/x**0)\/((x*x**(-3\/5)\/x*x)\/(x*x**(-1\/2))) assuming x is positive.\nAnswer: x**(9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 822\/1233*((-3)\/10*-2)\/(3700\/125).\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -84*b**2 - 28*b - 16. Let q be r(-11). Suppose -q = -7*p - 6*p. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/d**(-10\/3)))\/((d\/(d**30*d))\/d))\/((d**(-25)*d)\/(d**(-16\/7)\/d)) assuming d is positive.\nAnswer: d**(995\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60904 - 60904.0000055701. What is p rounded to seven dps?\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 4*c - 4*c + 38.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 13*s**2 - 29*s - 13. Let x be f(15). Solve x*u + m - 6 = 0, u - 5*m - 6 = -4*m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/(-3))\/((-4)\/6))\/(218\/436)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -74661, -74685, -74709?\n\"Answer: -24*t - 74637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 7:55 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(220)\/(sqrt(44)\/sqrt(4))*6)\/(-5*-3*(sqrt(256)*-2 - sqrt(256))).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**4 - o**3 - o + 1. Let m(i) = -4*i**4 - i**3 - i**2 - 3*i + 3. Let t be ((-2)\/(-7))\/(6\/42). Let k(l) = t*m(l) - 6*b(l). Factor k(x).\nAnswer: -2*x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 + 305880964*m\/3 - 11695395517196162\/3.\nAnswer: -2*(m - 76470241)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-9)\/n*n)\/n*n)\/n**(2\/5)*(n\/(n*n**(-6\/7)))\/(n*(n*n\/n**(9\/5))\/n))**38 assuming n is positive.\nAnswer: n**(-10298\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/90*-6 + (-84)\/(-45). Let a(f) = f**2 - 2*f - 3. Let u be a(-2). Solve -u - 3 = b*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Suppose -1 + v = l. Let o(t) = 30*t**2 + t. Is 13 a factor of o(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -36*17\/(-204). Solve -c*l = 5*z + 50, 0 = -11*z + 7*z - l - 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15936\/(-13944)*49\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 28 = -4. What is the greatest common divisor of 48 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, -27, -63, -113, -177?\n\"Answer: -7*r**2 - r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9184)\/2952*144\/(-14)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k + 2*k - 4*k)*(5*k**2 - 4*k + 4*k) + 3*k**3 + 0*k**3 + k**3.\nAnswer: 39*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -9\/34061329?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1475*f**3 - 9941495*f**2 - 33700*f.\nAnswer: 5*f*(f - 6740)*(295*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, -8\/9, -2\/5, 0.3, 0.56?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2133216 - 2133528.9787. Let w = 313 + k. What is w rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 2212120012021?\nAnswer: 2212120012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73814674 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 7697\nAnswer: -32\/7697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3 (c) 4 (d) 0.1 (e) -11\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -118. Let p be 43\/(-9) - (-20)\/k. Are p and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1374 + -1373.99383. What is h rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177308941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-200))\/(3\/36*-2). Which is the nearest to 1? (a) -1\/3 (b) 1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.4 (c) -1 (d) 565\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5925)\/(-275) - 1\/((-33)\/(-18)). Suppose -3*x = -7*x + 84. Is x at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-84))\/(-1)*(-48)\/(-20)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4 - 25) - (14 - (-15 + (-4 - -28)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -12. What is the biggest value in j, 1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16767\/58 or 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/30 and -29\/35703?\nAnswer: 357030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33987 - -1291495\/38. Let a be 1\/(-3)*(1 - -2). Calculate the common denominator of t and (5\/(-6))\/(a\/5).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1123 is divided by 185?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 29*c = -32*c + 8, -2*c = -4*z - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5))**21)**(-10\/3)\/(d**(-1\/3)\/d**(-4\/9))**(-45) assuming d is positive.\nAnswer: d**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -758 divided by -90227.\nAnswer: 758\/90227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 630455 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6*(-3 - -312). Find the common denominator of n\/12 - (-8)\/(-48) and 101\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1481 divided by -1.\nAnswer: -1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1.1. Let k = 174 - 175. What is the closest to 0 in k, n, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0086340163 rounded to four dps?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 5*t + 6414 + 6608 + 6412 - 19434.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24389933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4 - -3) + 135)\/((-24)\/(-36)). Solve -199*b = -t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -2.4.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*c + 20*c - 10*c + (-3 + 5 + 6)*(3*c - 1 + 1).\nAnswer: 47*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/6*(-8)\/5. Let b be h\/(-28) + 5781\/(-21). Calculate the common denominator of -17\/8 and (b\/30)\/((-2)\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*k + 30 = 0, -4 + 2 = -5*m + 3*k. Let t = m + 6. Let z(i) = i**2 + 26*i + 167. Let s be z(-10). Sort t, s, 5.\nAnswer: t, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 28 = 12*m. Let z(j) = -21*j - 7. What is z(m)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from cvszdddvdvcvvzvydd?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 610230, 1220427, 1830624?\n\"Answer: 610197*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(-3)*(3\/1 - -554) is divided by (45 - 54) + 6\/(-9)*-63.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 10 = -2, 4*o = 4*f + 212. Calculate the highest common factor of o and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*20\/48*(-60)\/(-75)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29379 and -1.3?\nAnswer: 29377.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -6) + -3 - (5 + (-23 - -23))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - u - 4*u + 68, -2*u = -3*p + 51. Suppose 0 = -5*c + 8 + 7. Suppose 4*n + 4*i + 20 - 8 = 0, -p = -n + c*i. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 13 - (-16 + 19) - 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -54*m + 49*m + i, 0 = -m - 7*i - 33 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -128*p - 16. Let t be g(-3). Let o = t + 273. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 40 + 152. Suppose -23*f - 156 = -25*f. Suppose 21*w - f - 279 = 0. Calculate the remainder when r is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, l: 1, d: 7, g: 3}. What is prob of picking 1 l and 2 d?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20 from 18927.\nAnswer: 18907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 3 + 2*n - n - 4*n + 4*n + (-4 + 3 - 1)*(-3*n + 0*n + 2*n).\nAnswer: 3*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 11 (c) -1 (d) 0.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 2)*-1*13. Let z = 5 - t. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1427 + -2002. Is 1*-17*v\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/(-9) - ((-7400)\/(-45))\/296\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -292*g - 1006. Let p(n) = -15*n - 53. Give 116*p(y) - 6*w(y).\nAnswer: 12*y - 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbslllggl. What is prob of picking 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.6 greater than -1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16240 - -17122. Solve 0 = p*b - 884*b - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 1:37 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/1197)\/(19\/114).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 1 + 0 - 330*o**4 - 293*o**2 - 1 wrt o?\nAnswer: -7920*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 73*s**2 - 341*s - 2528. What is t(-77)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/((-11)\/(132\/8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/1 - (-20)\/(2280\/(-646))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/12 + 2*r**3\/3 + 2*r**2 + 3*r. Let n be p(-3). Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4*t + 4372, 7*t + 4396 = 4*n + 11*t. Suppose 12*k - n = 704. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 415536 and 96.\nAnswer: 831072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13072*f**2 + 418299*f - 17. Give q(-32).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**2 + 8828212*b + 70625440 = 0.\nAnswer: -2207045, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1040*l**3*v**3 + 136*l**3 + 41*l*v**3 + 90551*l*v**2 wrt l.\nAnswer: -6240*l*v**3 + 816*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492*u = 435*u + 456. Solve -u*y - 51 = -99 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 12. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -308 - -628. Let n = -319.9 + y. Let j = 1\/61 + 54\/427. Which is the third biggest value? (a) n (b) j (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.7 - 15.7. Let y = -9 - -9.3. Which is the second biggest value? (a) i (b) y (c) -4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 50, 36, 4, -52, -138?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*j - 79*j = 121*j + 83*j - 10481 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729*d = -641*d - 264 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 9. Let v be m(-6). Let k be 120\/(-16)*(-2)\/v. Solve 0*b = -k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5700511, -5700533, -5700559, -5700589?\nAnswer: -5700623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9853835051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -30*z + 188. Let u be v(6). What is the least common multiple of 63 and (-1790)\/(-10) - u - -9?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -87.\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 18*j + 17*j + 5 = 0, 0 = 4*g - 4*j + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 28 = 5*c. Suppose -c*d + 57 + 339 = 4*r, -d + 3*r + 87 = 0. Suppose -d = -4*x + 5*l, -3*x + 3*l + 72 = 4*l. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, 17, -70, -303, -742, -1447, -2478?\n\"Answer: -10*a**3 + 17*a**2 + 18*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 684 + 23?\nAnswer: 6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34144?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*((-2*k + 2*k - k)*(-3 + 1 + 1) + 6*k - 8 + 8 - 4*k + 0*k + k) to d*k + y and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 12974 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*k - 5768 + 2*k - 150*k**2 - 181*k**2 + 298*k**2 wrt k?\nAnswer: -66*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11345 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 982 (base 10) to base 15\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 2)*(3*z - z + z) - 64*z - 585 + 585.\nAnswer: -46*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5775 and 5250.\nAnswer: 57750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(108) + 2)*4)**2 - (-1*(2 + sqrt(108)) + sqrt(108) + sqrt(108) - (sqrt(108)*3 + -2)**2))*4.\nAnswer: -3384*sqrt(3) + 31816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*h + 3*h**3 + 1322815*h**2 - 91*h - 1322815*h**2 - 96*h.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(1\/47)*p*p**(-11\/3) assuming p is positive.\nAnswer: p**(-232\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40, -58, -72, -82, -88?\n\"Answer: 2*i**2 - 24*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from {b: 1, h: 2, y: 1, p: 1, c: 1, i: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**2 + 2 - 115*l**3 + 116*l**3 - 6*l + 0*l. Let s be w(6). Find the third derivative of 1349 + 29*a**3 - 7*a**s - 1349 wrt a.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.13 (b) -2\/9 (c) -1\/3 (d) 0.7 (e) -1 (f) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(95) - ((sqrt(95) - (sqrt(95) - 1*sqrt(95))) + sqrt(95) + sqrt(95))))\/(sqrt(245) + (sqrt(245) - (sqrt(245) + -4*sqrt(245)))))**2.\nAnswer: 304\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2780, 2781, 2782, 2783, 2784, 2785?\nAnswer: 2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h*k*s*x**2 + 237*h*k*s - 79*h*k*x**2 + h*k*x + 10*h*s*x**3 - h*x**3 - 119*k*s*x**3 + 2*k*s*x + 2*k*x**3 wrt x.\nAnswer: 60*h*s - 6*h - 714*k*s + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.47 - -5.47. Which is the smallest value? (a) -5 (b) 3 (c) 0 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 26 + -1 + 8 - 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + p**2 + 2. Let m be w(-2). Let n be 0\/(-1 - 2) + m. Does 13 divide 6\/n*13\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/6*(-8661)\/5774.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/5, 0.3, -1, 27, 0.05, 3\/8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(-4\/7)*o**(-1\/7)*o\/o**(-3))\/((((o\/((((o**(7\/2)*o)\/o)\/o)\/o*o))\/o)\/(o*o**(3\/2)*o))\/((o**3*o)\/((o\/(o**(-1\/10)\/o))\/o))) assuming o is positive.\nAnswer: o**(893\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3)*g)**(5\/9)*(((g**(-1)\/g)\/g)\/g)**47 assuming g is positive.\nAnswer: g**(-1667\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3 + 37*r + 6 - 3. Let g(j) be the first derivative of -j**2 - 293. Calculate g(c(v)).\nAnswer: -74*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -384310 and -286 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.4673719 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 21. Let d(v) = 7*v + 24. Let a(i) = -13*i - 47. Let b(q) = 4*a(q) + 7*d(q). Does 4 divide b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0243, -2\/9, 3\/2, 0.4, -9 in increasing order.\nAnswer: -9, -2\/9, -0.0243, 0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = 5*q - 14, 0 = q - y - 1. Suppose -q + 34 = l + 5*k, -4*k - 8 = -4*l. Let w(c) = -c**2 + 6*c + 10. Give w(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -33. Let q = a + 21. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1315764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.0509 (b) 1 (c) 2\/13 (d) 1\/3 (e) 9.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1467668 equal to -1467669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 919700 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 32*z - 34. Determine r(18).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**2 + 3*w - 2. Suppose -l = 7 + 4. Let j(p) = -17*p**2 + 8*p - 6. Let f(a) = 11*a - 326. Let k be f(30). Determine k*j(g) + l*s(g).\nAnswer: -2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.48 - 0.2. Let d = -0.12 + f. Let r = 1.8 + d. Which is the closest to 1\/4? (a) -3\/5 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 v, and 1 j when three letters picked without replacement from zvjlvlv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 4:54 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 25. What is the remainder when f is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38722 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465 = -52*f - 1777 + 578 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1000001000001110111000000?\nAnswer: 1000001000001110111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eleven sevenths of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22330098 divided by -1.\nAnswer: -22330098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -509 in 0.5, 0, 49, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 42\/147*(-14)\/(-16)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = 4. Let q(b) = -8*b - 10. Let s be q(-5). Let d = s - 24. Calculate the greatest common factor of d and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2102416 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/11, 2\/25, -3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607069 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1736\/70 - 1*4\/(-20). Solve -c*v - 33 = 92 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1025?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.994 take away 801?\nAnswer: -808.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107163757?\nAnswer: 97, 1104781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 13) in base 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2, 0.353, -1412, 2\/13, 9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.851 - 0.851. What is the third smallest value in b, -0.3, -2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1775.99 millilitres to litres.\nAnswer: 1.77599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20020 (base 5) in base 3?\nAnswer: 1201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6325 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: Let z = -19043 + 19043. What is the biggest value in 3, 1\/4, 4, 1.1, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313264179 divided by -27.\nAnswer: -11602377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2581282*n**2. Let x(a) = 193*a. What is x(d(k))?\nAnswer: -498187426*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129007232 a multiple of 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 76.7, -2?\nAnswer: 76.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 617211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5142 divide 123809076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrulwwwlp. Give prob of picking 1 l and 1 w.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -19 - 19\/4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -141035114 - 0?\nAnswer: -141035114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 12) to base 16\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -718 and 373?\nAnswer: -267814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + v**2 - 1. Let t(c) = 2*c**3 + 9*c**2 - 1. Determine 3*m(q) - t(q).\nAnswer: q**3 - 6*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1483 = -3*m, 0 = 3*m - 0*m + 2*u - 1493. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/840 and -83\/26.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q - 57. Let l be b(9). Suppose -3*r + l*r = 558. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 22161201?\nAnswer: -22161174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 1060213.203661 + -12\nAnswer: 1060201.203661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 110 and 19.55791.\nAnswer: 129.55791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 150 = -3*s, -f = f - 2*s - 88. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 - -10011104104?\nAnswer: 10011104004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2992937, 2992939, 2992941?\nAnswer: 2992943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**7\/105 + 17*c**6\/45 - 53*c**5\/18 + 19*c**4\/3 + 12*c**3 + c**2 - c. Suppose b(u) = 0. What is u?\nAnswer: -1\/3, 2, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1790 divided by 2?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61734231191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Let l(f) be the third derivative of 7*f**5\/5 - 5*f**4\/24 + f**3\/2 + 23*f**2. Is l(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34234 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7632*b = -7627*b + 2*n + 20, -3*n = -b - 21 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15992280 is divided by 296?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5691*32\/(-11424) + -16\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(38)\/sqrt(2)*2.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 r when three letters picked without replacement from kkrrrrkksrvmsrv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461449010 divided by -2.\nAnswer: 230724505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 167 + 273. Let o be (-24)\/(-32) - 11114\/d. Let j = 131\/11 + o. Calculate the common denominator of -62\/5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10304014 - 41?\nAnswer: -10304110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 - 5.15. Which is the nearest to -2? (a) h (b) 0.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l + 7*l + 10*l**2 - 17*l + 18*l - 8*l**2 + 8*l.\nAnswer: 2*l**2 + 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-105))\/((-8)\/12). Factor 1\/7*s**3 + 0 + t*s**2 + 1\/7*s.\nAnswer: s*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.02 + -0.02. Which is the closest to -2\/11? (a) x (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13110*q**4 - q**2 + 6120*q**4 + 5671*q**4)*(-3 + q + 3).\nAnswer: -1319*q**5 - q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 5:44 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 649314404 to the nearest integer?\nAnswer: 25482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.05 - -0.05. Let c = 0.37 + -0.07. What is the biggest value in s, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.665 in 0.3, -0.4, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 24 = o - 3*f, -4*o = -2*f - 40. Let t be (o + 1)\/3 + -2. Suppose -t = 2*u + 1. Which is smaller: u or -2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1425 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 1. Let h(s) = s. Let t = -10 - -7. Let j be -5*3\/t - 2. Suppose -4*c = -2*n + n - 11, 2*n = -6. Calculate c*m(d) + j*h(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-25499)\/155316 - ((-2)\/2)\/4 and 44\/21?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2.7, 4\/3, -202.35?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arfa when four letters picked without replacement from {r: 1, f: 3, a: 2, w: 2, j: 4}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/30 + ((-189)\/30 - 2\/(60\/6))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 309854.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022220122 + 2?\nAnswer: -10022220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -82811330?\nAnswer: 82811332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40140 divided by -6.\nAnswer: -6690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/7, 1, -0.3 in increasing order.\nAnswer: -0.3, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 x, and 1 t when four letters picked without replacement from ffbtbbbbx?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1297*n**3 + 11265*n?\nAnswer: 7782*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*u - 36*u + 669 - 3497 = 0. Put -4, 1, u, 12, -1 in increasing order.\nAnswer: u, -4, -1, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**3 - 8*t**2 - 15*t - 59. Is y(-7) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123287*h**5 - 7*h**4 - 54*h**3 + 609319323*h**2?\nAnswer: -7397220*h**2 - 168*h - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 845*f**5\/2 - 977925*f**4\/2 - 2794405*f**3 - 3036410*f**2 + 1139820*f - 93040 = 0?\nAnswer: -4, -2, 2\/13, 1163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, 119, 211, 333, 491?\n\"Answer: b**3 + 6*b**2 + 43*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 83 - 83 - (2 - 1*4). Solve -2*c + o = -4*c - x, 5*c = -3*x - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 10) in base 11?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (4 - (2 + 7) - -5)) + 9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 + 301*n**2 - 148*n**2 - 11*n**3 + 6*n**3 - 153*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.022246 decades to months.\nAnswer: 842.66952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25068, -100253, -225560, -400989, -626540?\nAnswer: -902213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 5*f**2 - 4*f - 2. Let h be j(-4). Which is the third biggest value? (a) -8\/5 (b) -3 (c) h (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2820698937?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Sort -7, q, 2 in ascending order.\nAnswer: -7, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90886 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -30*j + 47. Calculate the remainder when s(-2) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-10))\/(475\/(-125)). Let q = -0.02 - 8.98. Let v = q - -8. What is the nearest to v in 0, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/209, -5, 0.5, -0.2, 1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(119) - (sqrt(119) - ((sqrt(119) - (sqrt(119) + sqrt(119)*3))*6 + sqrt(119) - sqrt(119)))))\/(sqrt(28)*-1*-3) + 3.\nAnswer: -15*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161382.4ml to litres.\nAnswer: 161.3824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 22 + 10 = 0. Let d(w) = -34 + w**2 + 4*w + 28 + 0*w**p. Calculate d(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 9*z**2 - 6*z + 13. Let f = -6 - -12. Let a = -15 + f. Is c(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103934289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -i + 5*i - 32, -p + 14 = 4*i. Let t = 0 + p. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.916 - 0.076. What is i rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19168 and 162928?\nAnswer: 325856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.3, 4, -365, -0.4 in decreasing order.\nAnswer: 4, -2\/11, -0.3, -0.4, -365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1974d196 + -4?\nAnswer: 1974d192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4\/3 + 4540*h**3\/3 - 13534*h**2\/3 - 154060*h\/3 - 72544 = 0. Calculate h.\nAnswer: -3, -2, 8, 2267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6857 = -10*h + 1763. Suppose 42 = -4*j + h. Find the second derivative of 2*c**4 + c**4 - j*c + 201*c wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*w**2 - 12184*w - 91 + 26*w**2 - 94 + 185 as d*w**2 + q + u*w and give u.\nAnswer: -12184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -898623, -1797242, -2695861, -3594480, -4493099, -5391718?\n\"Answer: -898619*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8138.\nAnswer: 2, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 437952439*t**2 - 692287305*t wrt t?\nAnswer: 875904878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -68\/5. Suppose 0 = -0*i - i. Let u be (-60)\/48 - (i + -1). Is x greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 3*f - 6. Let b be j(-5). Suppose m - 22 = -5*g, 3*m - 12 = -g - m. Solve -g*d = 5*h, 0*h + 4*h = -b*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(2*k - k**3 - 2*k) - 3*k**3 + 61*k**3 - 302*k**3.\nAnswer: -242*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100 + 101?\nAnswer: 10001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6, -2, -1, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4*d + 132, -3*d - 3 - 6 = 0. Let q be 1\/3*v\/32. What is the closest to -1\/3 in -2, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695800163?\nAnswer: 23, 79, 382939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + u - 9*u. Let t(l) be the third derivative of -28*l**2 + 0*l + 0*l**3 + 0 - 1\/8*l**4. Determine t(z(v)).\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*v - 5. Which is greater: v or -1\/117?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.167 + 0.523. Let f = z + -0.8. Let i = -0.21 + f. Round i to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 9224672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {l: 5, w: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((4\/2 + 2)\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1050*p**3 + 2*p**2 + 36*p + 5. Is g(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 + 0 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 39*f - 194. Let r be j(5). What is the closest to r in 2\/9, 0, -2, -1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4 + 350*f**3 - 706*f**2 + 354*f = 0 for f.\nAnswer: -177, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-7)\/(-2)*138\/(-483). Determine c so that -9*c**4 - 16*c - 3*c**3 - 3*c**5 + 22*c + 9*c**s - 2*c**2 + 2*c**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, d: 2, m: 3, p: 2, a: 1}. What is prob of picking 2 d?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120403 by -1.\nAnswer: -120403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6262079742 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 10*f**2 + 28*f.\nAnswer: -2*f*(f - 2)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407*k = -409*k + 4*g + 3584, 0 = 5*k + 2*g - 8900. What is the remainder when k is divided by 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018217 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/v)\/((v**(-4\/5)*v)\/v*v)*v**4*v*v**(-5)*v**(-6)*v*v**(1\/9)*v**(-1)*v\/((v\/(v\/((v*v**(2\/3)\/v*v)\/v)))\/v)*v assuming v is positive.\nAnswer: v**(-79\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25.6279005ns?\nAnswer: 0.00000000000029661921875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*l + 3*l - 0*a - 2*a, 165*l - 53 = 174*l - 5*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/11)\/(3\/3*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -2, 1\/5, -0.1878, 1 in decreasing order.\nAnswer: 1, 1\/5, -0.1878, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -23*q - 1. Let x be b(-3). Suppose -3*y = -2*y. Suppose y = -a + x - 18. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14834.\nAnswer: 2, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 1)\/(3 + 0). Let o be 1 + 2 + 0\/t. Is (8 + 2)*(o - 1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1524, -2937, -4340, -5727, -7092, -8429, -9732?\n\"Answer: a**3 - a**2 - 1417*a - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4\/4 + 1203*d**3\/4 + 100419*d**2\/4 - 209319*d\/4 - 154269\/2 = 0. What is d?\nAnswer: -281, -122, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.671 - 0.171. Let w = t + -10.3. Which is the nearest to -1? (a) -23 (b) 2\/13 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 90*k + 189. Let f be t(-2). Solve -18*y - f*y + 81 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -40845950?\nAnswer: -4493054.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2915, -90, 0 in decreasing order.\nAnswer: 2915, 0, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 644 = -4*o, -4*r + 680 = 3*o + 2*o. Let s = 167 - r. Is 5\/8 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4461 and -2.\nAnswer: -4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21921 divided by 736?\nAnswer: 21921\/736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - a - 5. Let y be o(5). Let q = -45 - -145. Suppose q = 5*v - 5*n, 2*v + 2*n = n + y. Solve c - v = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20781 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -9, -7, -5, -3, -1?\n\"Answer: 2*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16110 * -185.7.\nAnswer: -2991627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 7}. What is prob of picking 3 l and 1 h?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2545 - 3?\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*z + 322*z = 7602 - 1937 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 379.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*c - 183*c + 83*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -51050 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -211 - -471. Let y(v) = -9*v + 17. Let s be y(16). Let k = c + s. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(((m*((m\/m**(2\/7))\/m*m)\/m)\/m)\/m))*m))**(-46) assuming m is positive.\nAnswer: m**(-414\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6259350 is divided by 232.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 11*w - 1. Let l be u(-1). Let f = l - -16. Solve -f = t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d. Let r(v) = -262*v**2 - 2*v. Determine f(r(a)).\nAnswer: 1310*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 587908 - -243420. Let f = 1524672 + i. What is f rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 14 + 16, 2 = 2*l + 2*c. Solve 2*r + 0 = l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.461 and -3.\nAnswer: -1.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.598487t in micrograms?\nAnswer: 2598487000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w. Let z be s(4). Suppose -4*o - 4*y + 228 = 0, -122*o = -125*o + y + 199. What is the highest common factor of z and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z + 20 = 0. Let s be 2\/z + 748\/20. Is (-6)\/15 + s\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) - 117\/(-27). Suppose 4*a + a - 19 = 2*q, -5*q + g*a = 10. Let n = q + 7. Calculate the remainder when 28 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231043 (base 5) in base 14?\nAnswer: 10591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 3.9. Let l = -3.04115 - -0.04115. Let d = -14 + 9. Which is the nearest to 0.1? (a) d (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3629027*b*o + 9294893*b wrt o.\nAnswer: -3629027*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) 0.2 (c) -5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18*(-13)\/(-819) - (-50494)\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12146791 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*l - 95, 1706*l - 1702*l + 5*b = -111 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 1, m: 1, o: 1, i: 1}. Give prob of sequence bmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11241 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*m + 5. Suppose -361 = -3*c + m*f, 2*c + f - 342 = -123. Let p = 34 - 18. Calculate the greatest common factor of p and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/338 > -3373.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + m - 2. Let j(h) = 3*h**2 + 3*h - 6. Let w be (-1336)\/(-40) + 2\/(-5). Let a = w + -27. Give a*j(s) - 17*c(s).\nAnswer: s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkzzkkkkkk. Give prob of picking 3 k.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -x - 2*x - 10, 14 = x + 3*d. What is the derivative of 9 + 22 + 14 + x*h**2 wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = o - 5*o - 80686, -80687 = 4*o + z. Let m = o + 44611. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 9*l + 9. Let t(i) = i**2 + 3*i - 3. Let f(d) = -b(d) - 3*t(d). Let x(k) = -3238*k**2. Determine f(x(h)).\nAnswer: -20969288*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 17004.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7670555 rounded to 2 dps?\nAnswer: 2.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 8:57 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2113300 (base 4) to base 2\nAnswer: 10010111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-66)\/(-5))\/(6\/20). Suppose -y + 0*y = 4*c - o, -3*y - 33 = -3*c. Calculate the highest common factor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -5, 2, 0.04272, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 13*t - 8. Let w(d) = -d**3 - 2*d**2 + 3*d. Let o be w(-3). Sort t, -3, o in descending order.\nAnswer: o, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i - 6*i + 3*i**2 + i**2 + 4*i**2 - 4*i**2 + (-2 - 2 + 5)*(-6*i**2 + i**2 + 3*i**2) - 2*i**2 + i**2 + 0*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2717, -5018, -7319, -9620, -11921?\nAnswer: -14222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*z. Let m be (1 + z)*5\/1. Solve 3*a + m = 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379799773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, 2196 in ascending order.\nAnswer: -1, 4, 5, 2196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1002?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = 25*t - 89153. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105124.5*4.51\nAnswer: -474111.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 3*u + 4 + 1 - 4*u to the form t + v*u and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.8 + -1.8. Let u = 14.0025 - y. What is u rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53 and 0.18?\nAnswer: 9.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106725*y**3 + 2*y**2 - 279*y - 1381 wrt y.\nAnswer: 640350*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3666 - 5?\nAnswer: 3661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -34000*d. Let v(w) = -3*w**3 - 2*w**2 + 3*w + 3. Let u be v(-2). Suppose -3*h - 4 = -u. Let j be i(h). Round j to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 25*z**2 - 19*z - 32. Let v be k(-26). Sort 5, 0, v in decreasing order.\nAnswer: 5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 304 and 32.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2058761 is divided by 272.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1130114, -2260235, -3390360, -4520489, -5650622, -6780759?\nAnswer: -7910900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1148 (base 9) to base 5\nAnswer: -11404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h**2 - 1. Let k = -21 - -45. Let s = k + -3. Suppose -s = -5*p + u, -4*p + 15 = -0*u + u. Calculate d(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1245b (base 12) to base 13.\nAnswer: -b3c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93767.61 and -0.3.\nAnswer: -28130.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u. Let x(d) = 8*d - 38. Let y be x(5). Let h(g) be the third derivative of -11*g**y + 0*g + 0*g**3 + 0*g**4 + 0 + 1\/60*g**5. Calculate h(t(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/5 - 8\/40. Solve l = 6*r - 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65\/116 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(520) - -2*sqrt(520))\/sqrt(10)*-4.\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 281 - 23?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, h: 1, q: 3, s: 1, g: 2}. Give prob of picking 2 q, 1 h, and 1 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.10661 + -0.30661. What is the nearest to 0 in 0.5, -8.3, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 27 = -4*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 7*a**7\/120 - 14*a**6\/15 - 146*a**5\/15 + 160*a**4 + 2400*a**3 - 4127*a**2. Factor c(i).\nAnswer: (i + 4)**2*(7*i - 60)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -7*w + 5*o, 3*w + 1832*o - 1829*o + 12 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, -1\/15, 9?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 904100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185 and 175?\nAnswer: 6475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3153 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 - 95. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*((-12)\/(-8) + -2). Suppose 4*g + 11 = -2*q + 43, i = -5*q + 4*g + 38. What is the remainder when 27 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2106)\/7290)\/((-1820)\/56).\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 0*p**3 - 13 + 0*p**4 - 23*p + 0*p**2 - 33\/5*p**5. What is the first derivative of x(d) wrt d?\nAnswer: -132*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and 194731193.\nAnswer: 194731192.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 - 4 - 1 + 4 + 0*o**2 + o**3 in the form y*o**3 + p*o + l + k*o**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 842500 divided by -100\nAnswer: -8425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.85 - -1790212087.\nAnswer: 1790212083.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**3 + 8*l**2 - 190*l + 380. Determine n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3*840\/(-112). Let u = 31 + -42. Let x = -6 - u. Solve -3*n + l*n - 2 = -4*v, -x*n + v = -27 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u. Let j be (21 + -1)\/(-2) + 3. Let h be k(j). Let c be (-34)\/(-6) + (-14)\/h. Solve -4*s + 2 = c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -60*h**2 - 10*h + 11. Let f(b) = -58*b**2 - 11*b + 10. Let i(t) = 2*f(t) - 3*j(t). Is i(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298.8, 2\/3, -3 in ascending order.\nAnswer: -298.8, -3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430936 and 78518.\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 3*o - 4. Let n be 20\/8*(-8)\/(-5). Let c be v(n). Let s = -5 + 7. Solve c = -s*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.02103 and -399032?\nAnswer: 399033.02103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (38\/57)\/((-2)\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29602 and 5054?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 3298110?\nAnswer: 16490550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2381*z + 35753. Give l(-15).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289387123 to the power of 1\/2, to the nearest integer?\nAnswer: 17011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 29047.\nAnswer: 3\/29047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 232 - 232.000242. Round i to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4674*-0.04\nAnswer: 0.018696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014985 to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 8*p**2 - p - 1. Calculate a(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 93817?\nAnswer: 938170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 2\/3, 7 in increasing order.\nAnswer: -6, -1, 2\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1440 and 8928?\nAnswer: 44640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 285 + -283. Suppose w*n + 234 = 2*o, -2*o - 2*n + 294 - 80 = 0. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 75?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2799751 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2282698 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/20 - z**4\/12 - 5*z**3\/2 + 3*z**2\/2 - 94*z - 29. Let y(v) = -v**2 - v + 1. Calculate o(h) - y(h).\nAnswer: -h**3 - 14*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and ((-1)\/(-1))\/(2\/18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 83?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 + 834*m - 3352 = 0. What is m?\nAnswer: -838, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/66*-4*((-105)\/4)\/5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148 by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6827236.\nAnswer: 2, 13, 131293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 452 and -6300373.\nAnswer: -6299921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -16, -19, -16, -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21672, 21671, 21670, 21669, 21668, 21667?\n\"Answer: -j + 21673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-1)\/1*(-22)\/44?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 + 41*q - 11. Let c be n(-11). Solve 5*r + 6 = 3*d, -5*r = d + c - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.16851 - 0.04151. Let m = l + -0.087. Let r = m - 0.04. Which is the third smallest value? (a) -1\/6 (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 381751 + 71079. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x**2 + 1216*x - 9311. Give d(8).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 43, -2\/23, 0.3, 3\/2, -5.\nAnswer: -5, -2\/23, 0.3, 3\/2, 15, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-4497416\nAnswer: 5396899.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 3. Let n(a) = a**2 + 5*a - 5. Let h(x) = -5*g(x) - 3*n(x). Let i(y) = -4*y + 2*y - 3*y. What is h(i(c))?\nAnswer: -75*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6999989 - 1.7. What is j rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - x**2 - 9 + 4*x + x**2 - 5. Let a be n(-8). Let w = 109 - 107. Solve -w*c - 3*c + a = -4*f, -4*f - 10 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 88*q - 599. Give f(-50).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9881, 38806, 86771, 153776, 239821, 344906, 469031?\n\"Answer: 9520*x**2 + 365*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582002006?\nAnswer: 2, 3, 13, 2351, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27567 - 14*(14*(-1)\/(-4))\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -486 divided by -54\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p**2 - 2*p**2 - p**2)*(-1 + 4 - 1) + 250 - 24*p**2 - 250)*(-6*p**3 + p**3 + 4*p**3).\nAnswer: 28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/137648 and -5\/1097497.\nAnswer: 122919664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:47 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*u**2 - 9*u**2 + 2*u**2 to w + c*u + s*u**2 and give s.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13)**24 assuming c is positive.\nAnswer: c**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 9 = 3*f. Let g(b) be the first derivative of -b**4\/4 + 4*b**3\/3 - b**2\/2 + b - 1. What is the units digit of g(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 6. Let o be j(-18). Let z = -5 - o. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*o - 384*o + 251*o.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(7\/5)\/(((z*z**(1\/6)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(4592\/272 - 17). Solve 11*w = 28*w + j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119 - -121. Suppose -3*h + 56 = p*m, 0 = -3*h + 5*m - 3 + 73. What is the highest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -10\/11, -501?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 7*y = 0, t + 3*t + 24 - 8 = 5*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -15. Let a(s) = s - 13. Let f be a(17). Let v be 12 - (-1)\/(f\/(1 - -3)). Are v and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = 14897 - 14793. Let a = -4.3 - -0.3. Sort -5, a, w in descending order.\nAnswer: a, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - c + 4. Let v be x(0). Let o = 16 + v. What is the remainder when 39 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Suppose -2*r - z*r = -15. Suppose 4*v = 3*v + 5. Solve r = v*w - 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6494*h**3 - 2*h**2 - 1221 wrt h?\nAnswer: -38964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 329013403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.7 + 105.7. Let t = o - 96. Put t, 0.09, -14 in increasing order.\nAnswer: -14, t, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1694) + 1*sqrt(28)\/sqrt(2))\/(-4*((sqrt(7) - (sqrt(7) + sqrt(56)\/sqrt(8))) + sqrt(7) - sqrt(7)) + (sqrt(567) - sqrt(567)*-4)))**2.\nAnswer: 288\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 512 or -37?\nAnswer: 512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 20*b**3 - 11*b**2 - 19*b - 589. Is o(39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1514 - 0.3486. Which is the third biggest value? (a) 3 (b) r (c) 1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (3 + -2)*4. Suppose 3*b - 7*b + 8 = -2*o, 2*b = y*o. Suppose -5*x + 4*f + 393 = 0, -488 = -b*x + f - 178. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 115200?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144899201, 144899202, 144899203, 144899204, 144899205?\nAnswer: 144899206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 42. Let g be b(18). Let f(k) = -8*k**2 - 5*k + 6. Let v(t) = -9*t**2 - 6*t + 7. Determine g*f(w) - 5*v(w).\nAnswer: -3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 6*v**2 + 2*v - 3. Let r be d(6). Suppose -5*p + r + 556 = 0. Suppose -4*a + 82 = -2*a - 4*t, -3*a + 4*t = -p. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*r = -j + 16, 5*r - 8 = 3*j. Suppose 0 = -2*v - 9*f + j*f + 86, 0 = -4*v + 5*f + 232. Let i = v + -30. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 960*h + 194\/5*h**2 + 4608\/5 + 2\/5*h**3 = 0 for h.\nAnswer: -48, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - i. Let u = -6 + 8. Let j be (u\/(-3))\/((-10)\/15). Let w be y(j). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 294518 and 12.\nAnswer: 1767108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 779 - 781. Put 5, -81, z in ascending order.\nAnswer: -81, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/10)\/(31*104\/(-24180)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3 - 4716*z**2 + 4715*z = 0.\nAnswer: 0, 1, 4715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-32) - 1357*24\/2208?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 219, 213, 205, 195, 183?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 8:30 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1022918 to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*g = 16, 3*g - 8 = 3*k + 2*k. Let y be (-1)\/k - 138\/168. Which is the nearest to -2? (a) 3\/2 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*o = 162*o + 468*o + 743*o + 45408 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1231928895 and -51167.\nAnswer: -51166.8768071105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 41*w**7\/70 + 7*w**5\/30 + 2*w**3\/3 - 111*w**2. Find the third derivative of c(q) wrt q.\nAnswer: 2952*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 38*n - 45*n = -2*n - 17, 22 = 2*z + 3*n + 3*n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - (-34447)\/(-784)) + (-930)\/32 + 1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 35\/3. Let q = -7\/15 - -4\/5. Factor -b*t**2 + 1\/3 - q*t + 1\/3*t**3.\nAnswer: (t - 1)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 1. Let i(w) = -3*w**2 - 4*w + 6. Let j(k) = i(k) + 6*m(k). Give j(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -20*d**5 + 8008*d**4 - 42440*d**3 - 86864*d**2 - 14276*d + 22120 = 0.\nAnswer: -1, 2\/5, 7, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ae (base 16) in base 5?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26967 and 3939?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*r - 470 + 470)*(5 + 2 - 4).\nAnswer: 33*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 5, 144 in ascending order.\nAnswer: -2, 1, 5, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 19 - 6 = 0. Let n = l + 14. Let c(b) = n - 9 + 7 - b. Let u(a) = -8*a - 5. What is -6*c(f) + u(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(20)\/sqrt(10)) + 2)**2.\nAnswer: 4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 5*r**2 - r - 1. Let l be b(-5). Solve 0 = 2*q + 3*y + 25, -l*y + 5*y = 2*q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6885)\/73440 + (-3724)\/(-36992)\nAnswer: 2\/289","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -2. Let d = y - 17.0000024. Round d to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j**3 - 601*j**2 + 304*j**2 - 1 + 298*j**2 as o*j**2 + t + d*j**3 + h*j and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 12671.\nAnswer: -29\/12671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (0 - (6 - 0)). Let d = s - 6. What is the closest to -2\/9 in d, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232 and 2349.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4, -993*m + 18 = 3*s - 990*m. Suppose 0 + 3\/2*g**s + 3*g = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 158 - -7?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -16 + 273\/13 + (-3)\/(9\/15). Solve a = 8*f + 12*f + 100 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4 + 9*g**3 + 26*g**2 - 180*g + 200 = 0. What is g?\nAnswer: -5, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by 32?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.960109 kilometers?\nAnswer: 1960109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 77 - 67. Let u(s) be the third derivative of s**6\/40 + s**5\/60 - s**4\/12 + s**3\/6 + 266*s**2. Give u(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:31 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1467\/(-26406))\/((-2)\/(-18)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 1624448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 3*q + 1. Let x be m(4). Suppose x*p - 5*s = 135, -p - 3*s + 37 = -10. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 i when three letters picked without replacement from {m: 5, i: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 + 15*h**2 - 15*h**2.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 409 + -0.68\nAnswer: 408.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1. Let n(x) = 9*x + 1. Let l(k) = -k + 1. Let z(u) = 2*l(u) - n(u). Does 12 divide z(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70136.17 meters in centimeters?\nAnswer: 7013617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3411*n - 1702*n + 1 - 5 - 1706*n + 4.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 349*b**3 - 3*b**2 - b - 1. Is c(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 364 and 39.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/9493834 and 71\/64540?\nAnswer: 94938340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 - 1077 = -102*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3\/(-2))\/((234\/15340)\/(48\/80)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 26. Let g be -4*((-14)\/s - -2). Is -1 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**5\/5 + 1269*j**2. Let f(m) = -5*m. Let o(v) = -5*v. Let q(p) = 4*f(p) - 5*o(p). Give q(b(x)).\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 282570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/99 and -9\/110.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -2. Suppose -14*k + 148 = -z*k. Let n = k + 36. Which is bigger: n or -10\/11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143988 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2*x + 5*x)*(1387 - 1183 + 599)*(4 - 1 - 2).\nAnswer: 803*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110022 is divided by 688.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445570 is divided by 948?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -302 - -327. Let p = -116 - -123. Solve 12*y - p*y = x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 33 - 0) + (-2 - 8 - -2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (92\/874 - 42\/38)*3. Let p(x) = -x**3 - 2*x - 6. Calculate p(q).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l - 51*l + 15040 = 0. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 11*q**3\/15 + q**2\/5 + 74. Factor a(b).\nAnswer: b*(11*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5 - 2) + 6)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1190 divided by -238\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 - -130. Solve -2*i + 21 = -w*h, h + 9 = i - h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y**3 - y**2 + 16*y - 17. Let u(j) = -33*j**3 + 3*j**2 - 44*j + 48. What is 11*k(v) + 4*u(v)?\nAnswer: -11*v**3 + v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 88. Suppose -2*j = 0, -3*x - v*j + 4 + 5 = 0. Suppose 2*z = -x*z + 25. Solve 0 = s - z, 3*o - 3*s = -o - 23 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2997 or 2985?\nAnswer: 2985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*x - 16, 4 + 0 = 5*x + h. Suppose -4*r - 2*i + 1700 = x, -16*r = -12*r - i - 1706. Does 46 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 10, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4493909, 4493854, 4493755, 4493606, 4493401, 4493134, 4492799?\n\"Answer: -g**3 - 16*g**2 + 4493926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.1, 1353, 0.4, -0.27 in ascending order.\nAnswer: -0.27, -0.1, 2\/11, 0.4, 1353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6508399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 11*d**2 + 9 - 19*d - 31 + d**3 - 21. Calculate the remainder when g(-12) is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-15)\/6)\/((-2)\/20). Let n(r) = -4*r**2 + 14*r - 7. Let c(k) = -5*k**2 + 15*k - 8. Let m(w) = i*c(w) + 6*n(w). What is m(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2 - 173*v + 1. Give a(-34).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 388197 by -16.\nAnswer: -388197\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31445970, 31445992, 31446016, 31446042, 31446070, 31446100?\n\"Answer: w**2 + 19*w + 31445950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 177, 633, 1521, 2985?\n\"Answer: 24*k**3 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43.028 - -43. Let m = g - 0.972. Let d be 6\/(-33) - (-48)\/506. Sort 1, d, m in descending order.\nAnswer: 1, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**3 + 1. Let n(h) be the first derivative of h**3 + 145*h - 9. Let q(i) be the first derivative of n(i). Calculate q(k(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1. Let z(m) = -m - 5*m + 32 - 8. Let a(c) = 24*w(c) - z(c). Let t(i) be the first derivative of -i**2\/2 + 6. What is t(a(k))?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**2 - 54*i**2 - 3*i**2.\nAnswer: -77*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 equal to -1.0378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5761, -5770, -5793, -5836, -5905, -6006?\n\"Answer: -o**3 - o**2 + o - 5760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*c**2 + 25*c**2 - 6 + 2.\nAnswer: -10*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 51118313\nAnswer: 51118315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 67. Calculate the common denominator of 8\/160*270\/(-4) and (c\/18)\/(-1)*(-40)\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -41*c**3 - 1759*c**2 + 190*c + 684. Calculate i(-43).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 43 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/r**(2\/11))\/(r**19\/r**(2\/7)) assuming r is positive.\nAnswer: r**(-1147\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -54155.808 rounded to the nearest one hundred?\nAnswer: -54200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1059 - 2?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*l - 186*l = 9*c - 6*c + 60, c - 9*l - 11*l = 358 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 373 (base 12) to base 15\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 667020, 1333551, 2000082, 2666613, 3333144, 3999675?\nAnswer: 4666206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 12:36 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 81*t**2 + 90*t**2 - 169*t**2 + 83232 + 137*t + 679*t = 0.\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 66?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.364 and -0.349948.\nAnswer: -1.713948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 1892.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/18090 and 119\/4860.\nAnswer: 325620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/3 - 3956764*o\/3 - 50120936.\nAnswer: 4*(o - 989229)*(o + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -8.78\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 9. Let m be o(-7). Let k = 24 - m. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 6. Let l be h(5). Let i(r) = 73*r**3 - 1. Let y be i(l). Let k = -8 - -16. What is the highest common divisor of y and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + -1*(sqrt(612) + sqrt(17) + sqrt(17))**2 + (3*(sqrt(68) - -6*(1 + sqrt(68))))**2.\nAnswer: 1512*sqrt(17) + 29222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 300338 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581 = -4*w - 585 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, t: 2, m: 1}. What is prob of picking 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9884654 is divided by 141?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y**2 - 2 + 1 + y**3 + 6 - 11*y. What is the tens digit of i(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56\/55 - -9\/11. Let z = 18946 - 94072\/5. Let l = -132 + z. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.7 - 6.7. What is the fourth smallest value in 5, k, 3, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50733809 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/17727 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94620323?\nAnswer: 7, 19, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-140702)\/(-6))\/(328\/246*1\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1483382ml?\nAnswer: 0.0001483382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143.4 + 141. Which is the second smallest value? (a) l (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29109749 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**5\/20 - 2*q**4\/3 - 7*q**3\/6 - 6*q**2 - 3*q. Let x = 3396 + -3387. Determine i(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**4\/24 + 2*g**3\/3 + 8*g**2. Let p be 23\/4 + 2\/8. What is a(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/4 (b) -2\/23 (c) -0.735\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c + 1 + 18 - 13*c - c**2 + 8*c. Calculate p(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 671567\nAnswer: 1\/671567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v. Let d be r(0). Let a be 6\/(-8)*(-5 + 1). Suppose 0 = 2*t - 3*y - 7, -6*y = 2*t - 5*y - 3. Solve 3 = -a*o - 5*u, -1 = o + t*u - d*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55042 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.40736m in nanometers?\nAnswer: 86407360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*l + 330*l + 30361 = -218*l for l.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1. Let d be ((-30)\/9 + 4)*138\/4. Let n(w) = d - w - 7 - 10 - 3*w**2. Determine -5*k(h) + n(h).\nAnswer: -3*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12654216?\nAnswer: 2, 3, 175753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/530, 4, 1423, -1\/7 in decreasing order.\nAnswer: 1423, 4, 7\/530, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 26. Let x(h) be the first derivative of -c*h**2 + 9*h + 7 + 8 - 34*h - 2*h**2. Differentiate x(s) wrt s.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 12*d + 12. Let u(i) = -i**2 + 5*i - 5. Let z(c) = 5*f(c) + 12*u(c). What is z(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 8) to base 4.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/3))\/(o*o*(o*o\/(o\/(o*o*o*o**1*o*o)))\/o))**25 assuming o is positive.\nAnswer: o**(-500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13986, 13995, 14008, 14025, 14046, 14071, 14100?\nAnswer: 14133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11660)\/450 - -26)*6\/(-20).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57777.\nAnswer: 3, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 3, 28.682573?\nAnswer: 28.682573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-186)\/(-279) + (-6296)\/(-6).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 + -5?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + 2. Suppose 5*f - 16 + 6 = 0. Suppose z + 5*d - 1 = -f, -7 = -z - d. What is the remainder when o is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3608 divided by -5?\nAnswer: 3608\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwuu when four letters picked without replacement from wuwwwwwuw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-1 + (-3 - 8))) + 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/13)*r*r**0)**(-2)\/(r\/r**(-5\/3)*r*r\/(r\/(r*r**(-3)))*r*r)**(-15) assuming r is positive.\nAnswer: r**(693\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilaccaaijcya. What is prob of picking 1 j and 1 a?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, 1 q, and 1 p when four letters picked without replacement from pwcnpvcnpcqqccc.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53\/5 of a millennium?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(-8 + 4 - 2)*(-2*w + 4*w - 4*w).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -315*o**3 + 10*o**2 - 4*o - 1. What is z(1)?\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -15*m + 27. Let s(u) = -10*u + 12. Let x(o) = -4*g(o) + 9*s(o). Let h(r) = -285*r**2. Determine x(h(j)).\nAnswer: 8550*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(252)*-2)**2 + (sqrt(7) - (sqrt(28) + 2 + sqrt(28)))**2.\nAnswer: 12*sqrt(7) + 1079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 595?\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 10*p = 6*p + 6, -5*q + 4*p - 3 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*1)**2*-1 + -2.\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 3. Let m be o(-6). Suppose -m*g + w + 23 = 6*w, 0 = g + 2*w - 6. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, b: 5, u: 2, v: 9}. Give prob of sequence utv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75049, -150091, -225133, -300175, -375217?\nAnswer: -450259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = -4. Suppose 21 = l*y + 6. Solve -y*i + 34 = -5*t, -23 = -4*i + t - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 933, 1801, 2605, 3345, 4021?\n\"Answer: -32*a**2 + 964*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2 + 83*v - 1378. Let u(b) = -3*b. Determine u(g(p)).\nAnswer: 12*p**2 - 249*p + 4134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 19, 36, 43, 34, 3, -56?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 130*j**2 + 45355*j + 1325400.\nAnswer: -5*(j - 120)*(j + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-20) + 12\/(-10). Let j be 4\/(-14) - v\/(-7)*-135. Let w(m) = -j*m - 12*m + 39*m. Let q(z) = -5*z. What is q(w(d))?\nAnswer: -40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 713971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*n**2 - 16*n**2 - 7*n + 19*n**5 + 6*n**5 - 3*n wrt n?\nAnswer: 1500*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -93?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1284 - -3682. What are the prime factors of l?\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 9*l**2 + 7*l - 8. Let f be v(-8). Let u be 1\/(f - (-1)\/(-5)). Let b = 14 + -10. Put u, b, -1 in descending order.\nAnswer: b, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 9 = 29. Calculate the least common multiple of o and 21 + (-4 - -3) - 36\/(-16 + 7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o\/o**(-2\/17))*o)\/(o\/(o**(-19)\/o*o*o)*o))\/(o\/(o\/o**(-1\/2))*o)**(1\/3))**19 assuming o is positive.\nAnswer: o**(-39311\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7574751 a multiple of 1591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 5. Let a(k) = -k - 2. Let w be ((-27)\/3)\/(9\/6). Let c be a(w). Let t(h) = 2 - 3*h + 4*h + 0*h - c. Give -5*t(b) + 2*y(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 10. Let i be 3 + (-768)\/p + (-6)\/(-21). What is the tens digit of 195 - 5\/(i\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 4*m**2 + m**3 + 2*m**3 - m**3 + 3. Let c be x(4). Suppose -u + 6*u - c = 0. What is the greatest common factor of 135 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 13, g: 2, c: 3}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1912*j - 13. Suppose -2*r + 113 = 107. Is l(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*y**4 + 89*y**4 - 40*y**4 + 6*y**5 + 6*y**5 + 0*y**5 - 3*y**5 + (2*y**3 + y**3 - 5*y**3)*(-2*y**2 + 5*y**2 - 4*y**2).\nAnswer: 11*y**5 + y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrcwtyttyctracwrtr. What is prob of sequence rcw?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -74. Let p(w) = 3 - 6 + 7*w + q. Let n(r) = -3*r - 1. Give 9*n(s) + 4*p(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3995 or -4000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6516?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 9, 586, -2\/3?\nAnswer: 586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*o + 4, 3*x - 3*o = 4*x - 7. Suppose 4*t + 2*p + 3*p - 21 = 0, -2*p = -4*t + 14. Solve 0*c - t*c = x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1183 by 13.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*m - 20, 0 = 5*p + 32 - 12. Let k be 2 + (4\/m - 2). Let d(f) = -k*f - 8*f + f + f. Let l(v) = 2*v. What is l(d(j))?\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 - 547 = -6*b - 296 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 560194*d**2*p**2 - 476*d**2*p - 6*d**2 - 4*d wrt p?\nAnswer: 1120388*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 146*v - 73*v - 74*v)*(2 + v**3 - 2).\nAnswer: -v**4 - 34*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 3. Let i(a) = 3*a**2 + 9. Suppose -124 = -13*b - 33. Calculate b*c(g) - 2*i(g).\nAnswer: g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295 is divided by 754?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 29 = -o - 0*o, -2*g + 3*o + 15 = 0. Suppose 54 = 12*f - g. Solve -f*i + 4 = -c, 0 = 5*c - i - 4*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 16 = 4*z. Find the common denominator of z\/(60\/215) - -1 and (-35)\/8 - 0\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1376217 and -79\/135.\nAnswer: 6881085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+1498580454\nAnswer: 1498580453.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07357 and -523535.\nAnswer: -523535.07357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -372700 divided by 33\nAnswer: -372700\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-6))\/((-1)\/(-10)). Does 21 divide (-3 - c) + 78 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 28 + 5 = y, -4*y + 4 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 66 = 16*v. Let w(o) = -6*o + 1. Determine w(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*n**4 - 9*n**4 - 31*n**4 + (2*n**2 - 2*n**2 - 2*n**2)*(-n**2 + 5*n**2 + 3*n**2).\nAnswer: -75*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127218924 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 551, 1241, 2077, 3053, 4163?\n\"Answer: -c**3 + 79*c**2 + 460*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307008?\nAnswer: 2, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w**2 + 96*w**2 + 271*w**2 in the form p*w**2 + u + o*w and give p.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - -34 - (2 - 2) - 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/3)\/((-21)\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26.1, 0.4, 19?\nAnswer: -26.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = 7*q. Let d(s) = -6*s**2 + 5*s - 6. Suppose -8*v + v = -28. Let a(z) = -v - 4*z**2 + 3*z**2 + 3 + z. Calculate q*d(w) - 10*a(w).\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.105589 - 262207.7268.\nAnswer: -262207.621211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*((-1668)\/8)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1448 (base 13) to base 15\nAnswer: -d08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -925*l**2 - 75*l + 76. Give p(1).\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.14 (b) -1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 6*a + 7. Let w be i(-5). Let g be w\/7 - (-366)\/(-7). Let t = g + 143. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -3\/2*t**2 - 2*t + 2\/3*t**3 + 22. Suppose j + 0*p = -3*p - 2, -5*j + 26 = -3*p. What is o(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.02, 5, 2\/63?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40156790 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 928 or -0.89?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*w - 3*n, -21*w - 4*n = -26*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 + 885*g - 884*g + 38 in the form s + i*g and give s.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 785 = -115. What is the remainder when 289 is divided by x?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -40\/9, -2, -0.2 in descending order.\nAnswer: 0.5, -0.2, -2, -40\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-10)\/(-24)*33. Let x = -272\/35 + -781\/140. Let h = x - n. Is h <= 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2. Let c(s) = 32*s**2 - 14*s + 3. Let j(u) = -3*u**2 + 1. Let p(q) = c(q) - 3*j(q). What is p(v(y))?\nAnswer: 164*y**4 - 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5919)\/(-15784)*(-8)\/(-6)*1\/(-4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - 54. Solve 0 = -4*n - j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -94*c**3 + 8*c**2 + c - 48. Is n(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -39, -61, -103, -171?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -16*u + 10. Does 16 divide b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 248*q**2.\nAnswer: q**2*(q + 248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194 + -178. What is the remainder when 239 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**4\/2 + 4*y**3\/3 - 4*y + 2. Let s(t) = 3 + 199*t - 3*t**2 - 199*t - 2*t**3. Determine 3*f(k) + 4*s(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*l - 882*l = -450*l + 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/2, -0.81, -0.05, 7, 5, 23?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)*y*y)**(-16)\/(y\/y**(1\/4))**(3\/5) assuming y is positive.\nAnswer: y**(-489\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-15)\/(s*s**13))\/(s*(s**(2\/13)\/s)\/s)**(-1\/47) assuming s is positive.\nAnswer: s**(-17730\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 1586 = -m + 4*s - 1643, -13 + 35 = -2*m + 4*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16550, -16530, -16510, -16490?\nAnswer: -16470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**11\/y)**(-36) assuming y is positive.\nAnswer: y**(-396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 - 20*v - 4. Let g be j(6). Let n = g + 989. Find the third derivative of -5*b**2 - n*b**5 - 6*b**2 + 786*b**5 wrt b.\nAnswer: -420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 + 42*d**4 + 266*d**3 + 534*d**2 + 308*d = 0. What is d?\nAnswer: -11, -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 50 = -2*u. What is the least common multiple of 12063\/26 - (-184)\/4784 and u?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 94. Let z = -11 + l. Calculate the remainder when 51 is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 170\/(((-7216)\/(-480) + -15)*8\/14). What is the highest common divisor of c and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*b + 590*b**2 + 595*b**2 - 1186*b**2 + 2 as i + u*b**2 + n*b and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxq when three letters picked without replacement from qcqdcdccddxdxqd?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**4 + v**2 - 2*v + 18. What is the units digit of g(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3483606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*q**4 + 29*q**3 + 2*q**2 - 466*q - 4535067.\nAnswer: -32*q**3 + 87*q**2 + 4*q - 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 s when three letters picked without replacement from llswdslsllb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*b, 2*u + 4*b - b = 577. Let m = u - -390. List the prime factors of m.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -1, -0.9, -3\/4, -0.5 in decreasing order.\nAnswer: -0.5, -3\/4, -0.9, -1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 take away 5161.7769637?\nAnswer: -4862.7769637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, w: 8}. What is prob of picking 1 a and 2 w?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 975\/(-50)*20\/6. Let v = -46 - p. Calculate the highest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131282305 and 2128.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-38)\/8 - -2) + (-1)\/4. Let i = -1223 - -1222.8. What is the nearest to -0.2 in -2, i, -5, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*c + 588*c - 291*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7061 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/11934 and -20\/42991.\nAnswer: 39465738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -648 - -768. Suppose 111*b + 4689 = h*b. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n. Let u(o) = o + 0*o - 7*o + o**2 + 0*o - 2. Let c be u(7). Let m(s) = -c*s**2 - 4 + 4 + 13*s**2. Determine m(w(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 262531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 57562, 57561, 57560, 57559, 57558?\n\"Answer: -m + 57563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4169\/3120 + -49\/80. Calculate the common denominator of l and 14\/2031.\nAnswer: 26403","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 119*p**2 - 59*p**2 - 67*p**2 + (-1 + 1 + 2*p)*(-9*p - 12*p + 16*p).\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1737302 plus 1351550?\nAnswer: 1351558.1737302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 - 35 - 10*q + 4*q - 5*q - q + (11*q - 3*q + 3*q)*(18 + 14 - 11).\nAnswer: 219*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -1a21?\nAnswer: -1a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 12:57 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffifffffiiffiiiffff. What is prob of picking 2 f?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4650, 7207, 9764, 12321?\n\"Answer: 2557*y + 2093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 2\/(-4))\/(32\/(-640)). Suppose c*z = z - 207. Let h = z + 43. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-1 - (-10)\/26). Let b = -63\/130 + s. Find the common denominator of (336\/27)\/8 + 0 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(3\/(-2) + 1). Let v = 41 + -26. Let w = d + v. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 39 = -29, 0 - 20 = 4*q + 5*k + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 67353685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (6 - 18) + 3 - -39?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 15410 = 1810. What is w rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -6.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 9. Let q = 5 + 1. Is 3\/h + 472\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (121*66\/1089)\/((18\/(-24))\/(27\/8))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1599, -11145, -37057, -87519, -170715, -294829, -468045?\n\"Answer: -1364*i**3 + i**2 - i - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 5*u + 16875 - 16900, 0 = 3*u + 2*b + 65 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + b)*(106*b + 140*b + 282*b) as z*b + g*b**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 1\/12*s**4 - 4\/3*s**3 + 0 + 5\/2*s**2 + 29*s. Let h = -16 + 22. What is a(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.04, 1.008, 4, -5 in decreasing order.\nAnswer: 4, 1.008, 0.3, -0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 26*x = 25. Let t(s) = 18*s**3 + 5*s + 5. Let l(g) = 10*g**3 - 2*g**3 + 3*g + g**3 + 6166 - 6163. Calculate x*l(n) - 3*t(n).\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-51)\/(-9))*(4 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 1. Let m(k) = 8*k**2 - k + 3. Let v(p) = -m(p) - 6*n(p). Factor v(g).\nAnswer: -(g + 1)*(2*g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/(-4)*24\/(-8))\/((-10031)\/(-300930)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-1 - 1) - -3) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79625 and 2110500.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 9. Suppose 2*u - 5 = 7. Let a be u\/(-10) - 6\/(-10). What is i(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17131054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - j - 42 + 7*j + 0*j to z + v*j and give z.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58345107 a multiple of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/6, 3, -2\/71, -4, -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 0 + 8\/9*f**2 - 2\/3*f**5 - 14\/9*f**3 + 8\/9*f - 20\/9*f**4 = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 11841120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0662 minus 339670?\nAnswer: -339670.0662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*h + 1084*h + 89700 = 266*h - 239*h for h.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**3 + 5*p - 2. Let z(x) = -x**3 + x. Suppose 213 - 47 = 166*g. Calculate g*u(f) - 4*z(f).\nAnswer: -f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.715 - -0.315. What is the fourth biggest value in 70\/3, u, -0.1, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r + 1014. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 8) in base 7?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t**3 + t**2 + 3*t + 2. What are the prime factors of s(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11642808 by 485117.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 393*w**2 + 447*w?\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*w + 306*w = -902 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**3 + 0*q + 0*q)*(-2 - 43*q + 99*q - 49*q) as o*q**4 + s + x*q**3 + c*q**2 + j*q and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4310 by -1.\nAnswer: -4310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-651029*r - 9 + 142*r**2 + 651029*r)*(-4*r**2 + 4*r**2 - 2*r**2).\nAnswer: -284*r**4 + 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 3*n = -3*t - 6, -7 = n + 2*t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278613, -278615, -278617, -278619?\nAnswer: -278621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104070553?\nAnswer: 431, 241463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938795261.\nAnswer: 18211, 51551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2969 + -2968.94604. What is j rounded to three decimal places?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 14*c**2 - 6 + 12*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 4*p = 12*r - 24, -5*r + 12 = -2*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 651258503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21200121200122 (base 3) in base 8?\nAnswer: 17455424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 17\/((-153)\/54)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 31*k - 1244. Give c(-25).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = a + 3, 4*a + 8 = 5*n + 13 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -33*x**3 - 7*x**2 + 32*x + 349. Is f(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -720 + 725. Suppose d*l - 3*v = 14, -4*l - 81 = -v - 95. Let m(b) = 3*b - 4. What is m(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2626 is divided by 146.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 - 6.7. Let w = -0.05 - -0.15. Which is the nearest to 1\/4? (a) -5\/3 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 7*n. Let q(d) = -d**2 + 5*d. Calculate 5*l(b) + 7*q(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106 - ((-15 + 15 + 9 - 0) + -1)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4447383216 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3213 is divided by 771?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 15. Calculate the common denominator of (3\/(-12))\/((-1)\/3) and 370\/(-84) + (-4)\/h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 4*s**2 + 3*s. Let o be q(2). Let v = o + -4. What is the first derivative of -2*b**v - 5*b**2 - 3 + 4*b**2 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - 3) + -3 + 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/(-33) + (-8)\/(-44). Let o be 2 - (4\/(-6))\/(u\/66). Let m = -44 + o. Solve 4 = -2*x + m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -1 - (-3)\/1. Solve 144 = n*s + 164 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 5277223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Let k be 516\/(-645)*(-25)\/(-4). Sort d, -3, k, -11.\nAnswer: -11, k, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 6*q**3)*(4*q - q + 0*q) + (-q**2 - 2*q**4 + q**2)*(2 - 1 + 2) in the form y*q**4 + b*q**3 + x + s*q + p*q**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 18*v - 86 = 0. Let l = 1 + v. Suppose l = -2*t + 128. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111003100 (base 4) to base 3.\nAnswer: -11101021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(207\/243)\/23?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 459 + -444. Let t(o) = -o**2 + 12*o + 21. Determine t(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -270.845 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 8800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1935 (b) 1\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.2 - 55.45. What is p rounded to zero dps?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -479365127, -958730251, -1438095389, -1917460547, -2396825731, -2876190947?\nAnswer: -3355556201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15 + -11 - (5 + -1). Suppose s + a + 3*a - 97 = k, 5*s = -4*a + 485. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32903553 to the nearest integer?\nAnswer: 5736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 2, 0 = -4*x - 4*q + 76. What is the remainder when 30 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/132108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*z**3 + 987833*z**2 - 1 - 987833*z**2 + 2*z**4 in the form k*z**2 + g*z**3 + u*z + a + p*z**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 348048991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4499*p - 3708*p + 470580 = -1667*p + 280*p for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s. Find the second derivative of -c - 2*c + 3*c**3 + s*c**3 + c**3 wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, -2, -212 in decreasing order.\nAnswer: 4, -2, -9, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 4895?\nAnswer: -4893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 - -93.6. Let v = 1.6 - y. Suppose -c = -4*c - 2*w - 5, -4*w - 4 = 4*c. What is the second biggest value in c, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 209\/7. What is the biggest value in -4\/7, t, -3\/5, -4, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g. Let r(q) = 42*q**2. What is r(m(s))?\nAnswer: 1050*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -513, -534, -555, -576, -597, -618?\n\"Answer: -21*f - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 57820000 to the nearest 1000000.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 57*s**2 + 0*s + 48*s**2 - 99*s**2 - s - 4*s**3 to k*s**2 + f*s**3 + n + a*s and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/(((-32)\/20)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 42\/(-11) - -1) + (-29083)\/(-1397). Let n = 36 - 32. Solve 2*v = 6*v - n*c + 4, 3*v + 3*c = -t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -5, 1284, -0.1 in increasing order.\nAnswer: -5, -0.2, -0.1, 1284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/20 + 81*o**4\/8 + 40*o**3 + 422*o**2. Find j such that z(j) = 0.\nAnswer: -80, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2. Give i(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 4*s**2 + 2*s - 6. Let t be f(-5). Suppose 0 = -2*q - t + 15. Let z(m) = q*m + 0*m + 0*m. Let o(d) = d**2. Give o(z(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/43))**(27\/7) assuming x is positive.\nAnswer: x**(-54\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7583.295 decades in months?\nAnswer: 909995.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**39\/(c*c*c\/c**(-3)*c)*(c**(-2\/15)*c)\/c*c**(24\/7) assuming c is positive.\nAnswer: c**(3706\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 4275 = k. Suppose -9*h + k = 33. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30116660 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15888043 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3177174 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(-1\/3)*a)\/a*a*a**(12\/7)*a)**(-1) assuming a is positive.\nAnswer: a**(-134\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from {o: 3, u: 7, l: 1, w: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 304 + -301. Let l = -0.206 - -0.006. Sort l, i, -2, -4 in descending order.\nAnswer: i, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (10 - (17 + -10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 90 = -7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42955, 1\/2, -4, 5, -75, -0.3.\nAnswer: -75, -4, -0.3, 1\/2, 5, 42955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 3. Let h(v) = 5*v**3 + 11*v**2 - 2. Let f(g) = -3*g**3 - 6*g**2 + 1. Let x(s) = 11*f(s) + 6*h(s). Let p be x(-1). Determine r(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 6*h**3 + 2*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31552 + -211635?\nAnswer: -150053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7270 divide 2433756090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21686 + -4593. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/1 - (-4 + 2\/2). Suppose 9 = -w - 3*q + 25, q - 136 = -c*w. Calculate the remainder when 164 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 - 348*w**2 - 12*w - 2086. What is q(-174)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/119 (b) -11 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*y + 2*s, -s + 0*s = -2*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 24 + 21 = 0. Sort -1\/6, m, 3 in increasing order.\nAnswer: -1\/6, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85165934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/1)*817\/129*(-5082)\/(-1463).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26147\/14515 + 4\/2903. What is the third biggest value in 0.07, -2, d, 0.04?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (5 - (1 + 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*m + 6*m - 2*m + m - 5*m + m + (-m + 0 + 0)*(3 + 0 - 1) + m - 4*m + m + m - 3*m + m + (-5*m - 3*m + 3*m)*(-7 + 3 + 3).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -53*j**2. Let v(k) = 51385*k. Give v(r(x)).\nAnswer: -2723405*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 154 = -a. Suppose 74 + a = 5*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002293142 rounded to 7 decimal places?\nAnswer: 0.0002293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -868?\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2123*p**3 - 9736*p**2*r**2 - 1000850*r**2 - 111 wrt p.\nAnswer: 6369*p**2 - 19472*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from ppppppqpq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 + -0.2. Let c be 1 - (3 - (-12)\/(-5)). What is the second biggest value in c, 1, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 12*j**2 - 18*j - 52. What is v(10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 2*i - 5\/3*i**3 - 7 + 1\/4*i**4 + 3\/2*i**2. Give d(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -4*r - 133 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356 a factor of 31814472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 177911*u**2 - 3*u + 5*u + 177909*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 5*g**2 + 3. Let c be (5\/(-2))\/((-34)\/68). Calculate x(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(102)\/sqrt(6) + -3 - (-4*(2*sqrt(17) + sqrt(17)) - (sqrt(17) + 0 + 2 - sqrt(17))))**2.\nAnswer: 52*sqrt(17) + 2877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3132, -6453, -9814, -13215, -16656, -20137, -23658?\n\"Answer: -20*r**2 - 3261*r + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502 = -23*i - 134. Solve 12*p = i*p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 3*y**2 + 5*y. Let c be u(-2). Let i = 33 - c. Let w = i - -3. Solve 5*q + 4*f + 2 = -0, -w = -3*q + 4*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*o = o + 38, -3*o + 120 = 5*v. Calculate the highest common factor of v and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5\/10*10 + 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 10*x. Let i be p(-10). Suppose i = -2*d + 1 + 7. Find the second derivative of -8*b + 0*b**d - 7*b**4 + 2*b**4 - b wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Let x be (-1 + 59)\/(z\/(-8)). Let r = -114 - x. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 22*n + 30. Give p(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + y + 2. Let v be p(2). Let r be 184 - (v - 2 - -5). Suppose 0 = -3*b - 5*u + r, -2*b + u = -b - 71. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 9 = 31. Solve -p*z + 3*i + 7 = 0, 5*z + 0*i = -2*i + 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 4*j - 3, -2*g = -4*j - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**4*r - 5*j**4 + 202*j**3*r + 3*j**3 - 3*j**2*r - 635*j**2 + 6*j*r - j - r wrt j?\nAnswer: -48*j*r - 120*j + 1212*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10211 (base 4) to base 16\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.56 - 0.56. Let r be (40\/(-15))\/(-3 - 21\/(-9)). Sort m, r, -3.\nAnswer: -3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 906, -3 in ascending order.\nAnswer: -3, 1, 906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 36 = 2*x. Let o = 1 - 0.96. Let c = -0.24 + o. What is the closest to -0.1 in c, x, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 3*a**2 - a + 79. Let f be j(0). Find the third derivative of f*n**3 - 18*n**3 - 223*n**2 + 85*n**3 + 10*n**3 - 21*n**3 wrt n.\nAnswer: 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u + 3*u + 0*u - 7*u. Suppose -9 + 49 = 4*n. Let d(z) = 10 - n - z**2. Calculate d(r(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 55, -0.02, -4, -2\/13, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iimoixmmomximix. What is prob of sequence im?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 92, 574, 1360, 2450?\n\"Answer: 152*m**2 + 26*m - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1237\/3 - -413. Factor w*r**3 - 8\/3*r**2 + 0 + 2*r.\nAnswer: 2*r*(r - 3)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1071*b - 1. Let r(a) = -3*a + 8. Calculate r(h(x)).\nAnswer: 3213*x + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.5 (b) 1 (c) -0.02 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 6. Suppose 0 = -0*k - 4*k + 16. Suppose f = k*f. What is g(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.3, 1, 0.1, -1\/8, 1471?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 148 and -4387505.\nAnswer: -649350740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*a + 9, 0 = -c + 5*a + 54 - 35. Solve 6*z = 4*z + 4*u - 4, -4*z - c = -2*u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*x + 12158 = 8878 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78673 or -78659?\nAnswer: -78673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34098 and 36?\nAnswer: 204588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 1. Let p(t) = 7*t - 4. Let x(k) = p(k) + 4*w(k). Let v(y) = -3*y - 1. Let g(f) = -8*f - 3. Let i(s) = 4*g(s) - 11*v(s). Give -2*i(h) - x(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-96)\/(-54) - (-2)\/9. Suppose i*f = 2 + 4. Suppose 3*v - 7 = -f*g - v, 0 = 2*g - 5*v - 20. Solve 4*w + g = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/980 + -971\/2940. Let f = -39\/2 - -20. Let t = 41.2 + -41. Sort 2\/9, f, p, t in decreasing order.\nAnswer: f, 2\/9, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/((-1)\/(-2)) - (-6816)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:21 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0 + 6. Solve -2*m - g = 2*m + 13, m = -o*g + 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 -52, -12, 54, 146, 264, 408, 578?\n\"Answer: 13*f**2 + f - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(-1*sqrt(128)*2*-5)**2.\nAnswer: -230400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 442 - 414. Suppose p*v - 170 = -6*v. Calculate the highest common factor of v and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.192994 centuries in months?\nAnswer: 11031.5928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*-2*(0 + sqrt(684)) + (0 + 0 + sqrt(684) - (-2*sqrt(684) + -2)))**2*-5*2.\nAnswer: -3600*sqrt(19) + 308000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -15421393 in ascending order.\nAnswer: -15421393, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 6:00 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23\/68 - -10\/17. Let r = -2551\/228 - -25\/57. Find the common denominator of r and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1034 - 0.101861. Round p to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 594 - 332. Is h at least as big as 262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*m**4 - 19884*m**3 + 1372322*m**2 - 6871848*m + 2530440 = 0. Calculate m.\nAnswer: 2\/5, 5, 66, 1917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51157577.\nAnswer: 51157577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*26\/(-26)*5\/(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -15 - 3. Let q be (-26)\/(-12) - 1\/x. What is the hundreds digit of (q\/6)\/((-12)\/(-4392))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 7 = h. Let y = -3 + h. Calculate the remainder when 2\/(-4) + (-45)\/(-6) is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2916)\/6561)\/((-7)\/(-945)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5\/4 - 531*l**4\/4 + 1077*l**3\/2 - 1623*l**2\/2 + 2169*l\/4 - 543\/4 = 0 for l.\nAnswer: -181, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4528 = 12*c. Factor -9*i + 18*i**4 - c*i**2 - 66*i**3 + 18*i**4 - 138*i - 3*i**5 + 31*i**2.\nAnswer: -3*i*(i - 7)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 4*l**2 - 4*l + 2. Let u be z(2). Suppose -13 = -u*k - 0*t - 3*t, k - 2*t = 3. What is the units digit of k\/((2 - 3) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**6\/120 - q**5\/15 - q**4\/4 - 23*q**3\/6 + 84*q**2. Let u be p(-4). Let x(j) = -23*j**3 - j**2 + 2*j - 1. What is x(u)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3016 (base 8) to base 14.\nAnswer: -7ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 45. Solve -u = w*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158 + 158.095. Which is the second biggest value? (a) w (b) -0.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3597a5a - -8?\nAnswer: -3597a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from cocccuccco.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 233, 932, 2097, 3728?\n\"Answer: 233*n**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*k**2 + 63*k**2 + 24*k**2)*(0 + 0 + k) + (-2 - 3*k + 2)*(2*k - 2*k - 2*k**2) + 4*k**3 + 10*k**2 - 10*k**2.\nAnswer: 150*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1088 + 11934\/11. Let i = -3367\/5 + 23279\/35. What is the common denominator of i and a?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v = 5. Let j(g) = -44*g**3 + g**2 + g. Let r be j(v). Suppose -4*i + 7*i + r = b, 5*b - 220 = -4*i. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 4.6.\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 16) in base 6?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1937.73 + 1006.96.\nAnswer: -930.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -731 = u + z - 742, 2*u - 3*z - 12 = 0. Let g = -22 - -230. Is 5 a factor of u\/27 + g\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 174 = -3*q + 2*q, 2*q - 5*z = 313. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 6*d - d = -4*c - 5*d - 28, -d + 8 = -5*c + 2*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -30 + 11 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5 + 30. Solve -x - 4*x + s = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 47698.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 6*c**2 + 50*c - 57. Let b be x(-11). What is the closest to -5 in -17, 17, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23616860551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*r**2 - 12*r**2 - 8*r**2)*(0 - 4 + 2)*(0*r + r - 3*r).\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*a - 5*a + 4 = 0, 4*n - 4*a - 48 = 0. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 - 206. Let w be -1 + (2 - 0)\/2. Is w != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 7 + 1 - 6 - 3*o**2 + 7*o + 11*o**2. Let z be d(-7). Suppose z*j - 4*m = -4, 2 = m - 1. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**4 - 5*m**2 - 31. Let b(n) = -n**4 + 2*n**2 + 15. Let r(s) = -5*b(s) - 2*g(s). Differentiate r(y) wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from owopowuadoppwouaoaaa.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -13, -5, 4 in decreasing order.\nAnswer: 6, 4, 2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 25 + 56)*(15*g + 11*g - 11*g).\nAnswer: 600*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2858607 (base 9) to base 10.\nAnswer: 1574404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m + 700 = -152*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -138.4 - -138. Let a = -1.5 + 9.5. Let l = a + -7.5. What is the second biggest value in -0.3, l, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7999993 + -0.8. Round q to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5, 163 = 3*q + 5*t - 0*t. Let n be (-8 - q)\/8 - -28. Solve n*x = 19*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2271885018?\nAnswer: 2, 3, 13, 29126731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-1)*(-9)\/(-135)*6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -960939*m**2 + 960939*m**2 - 12*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-3 + -2))\/1. Suppose -z = -2*o - 41, -58 - 57 = -d*z + 2*o. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.285594 + 0.084178. Let o = b + -1.37. Round o to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from phpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 186566*p**2 - 281*p. Let l(u) = 3*u. Determine l(n(a)).\nAnswer: 559698*a**2 - 843*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.78 + -0.08. Let w = a + -1.7. Let d = -0.18 - -0.18. What is the nearest to d in w, 0, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**2 - 19*u**2 + 8*u**2 + 4*u**2. Let n(m) = -117*m. What is a(n(w))?\nAnswer: -13689*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1004 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00078331431 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27478*d**4*h - d**3*h**2 - 12818*h**2 - h wrt d?\nAnswer: 109912*d**3*h - 3*d**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, -145, -13, 181, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.0128 - 0.9872. What is the second smallest value in -0.22, 0, 6, t, 2\/15?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17\/4, -43\/22, 1\/2 in descending order.\nAnswer: 1\/2, -43\/22, -17\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-6 - (-3)\/1). Suppose 0*s = g*s - 25, -3 = 2*p - s. Is p + 29 - (11 - 12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/616)\/((-2)\/8)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6279 and 9043307.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26681849.\nAnswer: 26681849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 + 3*c + 2. Let k(w) be the first derivative of 4*w**3\/3 + w**2 + 2*w + 103. Suppose 0 = 3*p - 3 + 15. Determine p*k(r) + 3*s(r).\nAnswer: -r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16978660 divided by -4244665.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/10 and 11\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 0*c**2 - 4*c + 0*c**3 + 1\/4*c**5 + 0 - 5\/12*c**4. Find the third derivative of y(a) wrt a.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 12, 16, 1\/6, 44, -1, -2, -3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9 = -4*q, 2*d - 4 = -4*q + 2. Suppose -u = q*u. Suppose -4*z + 106 - 30 = u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 683*y - 33*y**3 - 10*y**3 - 683*y.\nAnswer: -43*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from qqejxfjjjfjrxqj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/240 - (-7)\/84?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 8*h + 20 = 0. What is the third derivative of 15*w**5 + 12*w**5 - h*w**2 + 0*w**2 - 4*w**2 wrt w?\nAnswer: 1620*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -748*w**3 + 997*w**3 + 258*w + 3 - 511*w**3 wrt w?\nAnswer: -1572*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-11 - (1 - -1)) - -4 - (-11 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 3*f - 1329. Let i(t) = -5*t**2 + 11*t + 5331. Give -11*d(z) - 3*i(z).\nAnswer: 4*z**2 - 1374","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o**2 - 89*o - 4. Let v be r(-11). Suppose 5*x - 3*j - 1490 - 2299 = 0, -4*x + 2*j = -v. List the prime factors of x.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 50 (b) 4 (c) -0.4 (d) -2\/13 (e) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -68575*l + 5074559. Calculate t(74).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 2*j**2 - j**2 + (1 - 1 + 2*j)*(5 - 5 + 2*j))*(-18*j + 47 - 47).\nAnswer: -108*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 8 + 4*x**3 - 55*x**2 + 43*x**2 - x**4 - 6*x**2 - 2*x - 82*x**2 to the form f*x**2 + u*x**3 + b + l*x + v*x**4 and give f.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + 29*c + 10*c + 2069 + 184 - 2425.\nAnswer: 39*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n + 2*n + n.\nAnswer: 31*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10412436859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-7)\/175)\/((27\/(-30))\/3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -445, -444, -443, -442, -441?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 y, and 1 n when four letters picked without replacement from yfznfyonyzzozyanfa.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-23)\/((u\/(u**(-25)*u))\/u*u))\/(u**5\/u*u)**16)**(39\/4) assuming u is positive.\nAnswer: u**(-1248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*-2*sqrt(3)*-2*2)**2 + 1.\nAnswer: 320*sqrt(3) + 4817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1670)\/1837 + 10\/11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-24 + -1 - (276 + -264) - -13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 8:35 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ellimmqlliqiddi. What is prob of sequence qd?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-40)\/35))\/((-7)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-5) + -5*6\/(-600). Let q = 14.1 + 3.9. Which is the nearest to -2\/5? (a) q (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-150)\/50)\/((-2)\/((-154)\/(-3)))?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34 (b) 0.4 (c) -0.5 (d) -0.1 (e) -2\/11 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25782895, -2, -4.\nAnswer: -25782895, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -990 = -2*k - 2*w, 4*w - 847 - 638 = -3*k. Suppose -5*v = -0*d + d - 1276, 0 = 2*d - 2. Suppose -2*q - 15 = 4*m - v, 5*m - k = -4*q. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -214 - -219. What is the third smallest value in 3\/5, r, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (688\/24)\/((-3)\/(-18)) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587671 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -2 + -1)*(-8)\/(-28). Put 2\/7, x, 2\/19, -3\/7 in increasing order.\nAnswer: -3\/7, x, 2\/19, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 11:41 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/39696292 and 25\/89316657.\nAnswer: 357266628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -747.\nAnswer: 1\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2 - 4) + -5 + -7 + 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.43 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25773 + -7487?\nAnswer: -34371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102122012111002 (base 3) to base 6.\nAnswer: -340315432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 318 + -337. Let w(n) = n - 1. What is the lowest common multiple of w(6) and (-8)\/(-10)*(o + 29)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*q - 129 + 65. Solve -2*i + q*h = 2*h + 10, 5*i + 25 = -h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 7*y + 4. Let c be a(6). Let b be 5\/c + 1 + 1. Which is greater: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -674, -5232, -17520, -41390, -80694, -139284?\n\"Answer: -642*a**3 - 13*a**2 - 25*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6\/11)*c*c**6*(c*c**(2\/5))**(-36) assuming c is positive.\nAnswer: c**(-2417\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + (-6 - -2) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -36. Suppose 3 - o = -5*g. Suppose -319 = 1337*w - 1366*w. Solve 3*v + 3 = 3*z, -8*v = -g*v + 3*z + w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 1157?\nAnswer: 115.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946647063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - 2*sqrt(13)*-6 - (-2 + 2 + sqrt(13))) + 3)*-3)**2 + -2.\nAnswer: 648*sqrt(13) + 16927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2849610?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**10)\/m)*m**(-3))\/((m*m\/(m**(-3\/10)\/m))\/(m**(-3\/4)\/m)))**39 assuming m is positive.\nAnswer: m**(-13299\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/((-6)\/(-9504)). Let m = f + -3100\/3. Find the common denominator of m and 10\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9686011?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-704.6471.\nAnswer: -140.92942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/13)*b)\/b*b**9*((b*b**(-12\/5))\/b)\/(b\/b**(-2\/45)) assuming b is positive.\nAnswer: b**(695\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-11)*r\/r**(-22) assuming r is positive.\nAnswer: r**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-186)\/(-3) - (4 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7282.328335 rounded to the nearest 100?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3334 or -3302?\nAnswer: -3334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 8*z - 4. Let j be f(-6). Let m = -23 + j. Let d(v) = v**3 + 4*v**2 + 3*v. Give d(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232667 divided by -14\nAnswer: -232667\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*r + 537*r - 173*r - 187*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -5, -3, 5 in decreasing order.\nAnswer: 5, -3, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -44 + 37. Let u(a) = -6*a + 51. Let t be u(l). Solve -6*z + t*z = -12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrquqqqqcqqrrqqer. What is prob of picking 1 c and 1 e?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d + 60*d = -1575 + 295 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 403863?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1610224 (base 7) to base 13.\nAnswer: -79798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(70)*-2 - sqrt(70)))\/(2*sqrt(810)) - (((sqrt(308)*-2 - sqrt(308))\/sqrt(11))\/((1*sqrt(144) - sqrt(144)) + sqrt(144)) + 2))**2.\nAnswer: -8*sqrt(7)\/3 + 64\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**3\/24 - 135*a**2\/8 + 1508. Determine r, given that i(r) = 0.\nAnswer: -270, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 - 37*r**4 + 72*r**4 - r - 27*r**4 - 2 + 3*r**2 - r**3 in the form m + y*r**4 + k*r**3 + q*r**2 + t*r and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 9*o - 4. Let p be q(8). Suppose 2*v + 22 = 4*v - p*m, -5*v + 5*m + 60 = 0. Calculate the greatest common factor of v and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**5 - 6559164*x**4 - 13118344*x**3 = 0. Calculate x.\nAnswer: -2, 0, 1639793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 l when four letters picked without replacement from lxqqqqqll?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4997603, 4997605, 4997609, 4997615, 4997623?\nAnswer: 4997633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, g: 3}. What is prob of sequence fggg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 354*c**5 + 304*c**2 wrt c?\nAnswer: 21240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25756611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*q - 4*q - 20 - 36 = 0, -6*a - 177 = -12*a + 3*q for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 315 + -279. What is the greatest common divisor of 8 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 - (-176 + 143)) + 41.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.04319 + -0.5\nAnswer: -0.45681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:09 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -15*u**3 - 8*u**2 + 20*u + 68. Determine k(-2).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:18 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267257422*r**2 - 269894989*r.\nAnswer: -534514844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3978 is divided by 794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1850469.7 to the nearest 10000.\nAnswer: -1850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -94. Let t be 2\/8 + (-279)\/(-4). Calculate the greatest common factor of t and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 27. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {u: 3, z: 2, b: 3, p: 2, q: 6}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let a(q) = 134*q**2. Calculate x(a(k)).\nAnswer: 134*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 87344.16mg in nanograms?\nAnswer: 87344160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-1 - -3) + (-87648)\/462)*70\/(-3) and 4818?\nAnswer: 48180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 14*s - 2. Let d be l(14). Let g = 4 - d. What is the highest common factor of g and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 66823 = 3*y, 3*q - 196*y - 200461 = -191*y. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765295789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/377 - -744\/1885. Which is the closest to -6? (a) z (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 l when four letters picked without replacement from {y: 6, l: 7}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**16*s*s))\/s*s**(1\/14)*s assuming s is positive.\nAnswer: s**(-237\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -1\/24*r**4 + 77*r**2 + 29\/60*r**5 + 0*r - 1 - 65\/6*r**3. Differentiate h(g) wrt g.\nAnswer: 58*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -93.3. Let z = -85.7 - o. Let r = -84.1 - z. What is r rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108 * -5.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - 49) + (16 - -1) + 35 + -34?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1326 and 676?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-63*(-16)\/(-24))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**6\/10 - 7*x**3\/6 - x. What is the second derivative of i(q) wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603 a factor of 967245890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -18?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232 - 187. Calculate the greatest common divisor of 2385 and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1016*f = 1466*f - 1800. Let n(v) be the first derivative of 5*v + v**2 - 1\/4*v**4 - 1 + 2\/3*v**3. Calculate n(f).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2541, 2540, 2539, 2538?\n\"Answer: -x + 2542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 33183 = -10*m. Suppose 0 = -m*p + 1231*p. Solve p*s - s - 17 = 5*r, r + 10 = 2*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/9)\/(63\/(-54) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 13*o**2 + 6*o. Let r(l) = 168*l**2 + 77*l. Let b(x) = 21*x + 1002. Let m be b(-48). What is m*r(y) + 77*p(y)?\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0)*(0 - -1). Suppose 0 = -8*d + 6*d. What are the prime factors of d + b + 11\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = w + 128. Suppose 4*t + 20 = f + 2*t, w = 4*f - 4*t. What is the greatest common factor of f and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 889942944 to the power of 1\/2, to the nearest integer?\nAnswer: 29832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52039863?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 587371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*r - 223 = 77 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7352273 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: b\"What is the vth term of -2297, -2112, -1855, -1526, -1125, -652, -107?\n\"Answer: 36*v**2 + 77*v - 2410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.267 + 0.247. What is the fourth smallest value in -1\/4, 2, g, -6\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckcreaecarkcerc. Give prob of picking 1 e and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099*m**2 - 85*m**3 + 564*m**2 + 32*m**3 + 37*m**3 + 20*m**3 + 535*m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8078 = 5*t - 1225, 0 = 5*t. Suppose 0 = 5*l - 2*f - 9301, f + 0*f = 5*l - d. List the prime factors of l.\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**2 - 18*l**2 + 0*l**2 to the form o + c*l + u*l**2 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**4\/2 - 410*w**3 - 168099*w**2\/2 + 410*w + 84050 = 0.\nAnswer: -410, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 7. Let z be l(0). Let i(s) = s**3 - s**2 - s - 7. Let w be i(0). Is w > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 47. Calculate the remainder when 52 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2. Let q(w) be the second derivative of -w**4\/2 - 8*w. Determine q(m(o)).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1330)\/(-63) - (-25 - -45) - -137*15\/(-27).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 20. Let k = 5 + a. What is the highest common factor of 21 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*1 + (-56)\/117299 - 4. Let l = -2328647\/1206504 + x. Find the common denominator of -101\/2 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (111\/48 + (-1351)\/579)*-16. Suppose 0 - v*i**2 - 2\/3*i = 0. Calculate i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, 4, 57, -1 in increasing order.\nAnswer: -1, 4, 5, 21, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/16 and -101\/4351444?\nAnswer: 17405776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:02 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141998 or -142131?\nAnswer: -142131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(304)*-2 + -1 + -1 + -2))**2*-4*-4.\nAnswer: 25600*sqrt(19) + 492800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t - w - 52, 2*t + 40 = 3*w. Let y(a) = -7890*a**3 + 11*a - 6. Let q be y(t). What is q rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**4\/4 + 17*o**3\/3 + 6*o + 2. Let i be -17*(-5 - 18\/(-3)). Let u be n(i). Solve 4*d - 3*d = 0, -2*s = 2*d - u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 4939.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 416 by 104.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137\/20 - -321\/10. Let b = -115 + 59. Find the common denominator of (15\/(-88))\/((-2)\/b) and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(150)\/(sqrt(405) - sqrt(45)))\/(sqrt(20)\/((sqrt(72)\/sqrt(6))\/sqrt(6))*-2))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)\/(n*n**(-5))*(n\/(n*n**(2\/3)))**(2\/45) assuming n is positive.\nAnswer: n**(401\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1499 - -1503. Solve 2*h + 7*i - 1 = 4*i, g*i = 2*h + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - -3.8. Let d = 3.999928 - c. What is d rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 16*d**3 + 99*d**2 - 41*d - 352. Let x be y(-6). Determine r, given that -1\/6*r**4 - 44\/3*r**x + 22*r + 7\/2*r**3 - 32\/3 = 0.\nAnswer: 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2116091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwpw. Give prob of sequence wp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.02 + -4. Let u = 0.03 + -0.35. Let s = n + u. Sort s, 4, 1.\nAnswer: s, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 40592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 7:06 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p - p + 355 - 50 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141 + 231. Calculate the highest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**5\/60 + o**3\/2 - o**2 - 2. Let w(n) be the second derivative of q(n). List the prime factors of w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636 + 0*n - 2*n + 613 - 1214.\nAnswer: -2*n + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325109 is divided by 156.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 6 - 3*u**2 - 3*u**2. Let s(i) be the third derivative of -i**5\/15 + 5*i**3\/6 + 25*i**2 - 9. Determine -6*s(v) + 5*x(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-w - 3 + 3)*(-w - 3 + 3).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 2*p**2 + 2*p - 30. Let g be n(-6). Suppose 11*q - g = 34. Calculate the remainder when 157 is divided by q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*n**4 - 123 wrt n?\nAnswer: 124*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*a = -14, 2*v - 4*v + 3*a = -5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 3*i + 1. Let v(g) = 11*g**2 - 186*g + 6. Give -6*j(k) + v(k).\nAnswer: -k**2 - 204*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185044 is divided by 17684.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2712a + -659?\nAnswer: -27787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/1405209 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3226 or 3250?\nAnswer: 3226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73 and 803?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*d + 20 = 0, -4*d = 6 + 2. Let f be ((-2)\/k)\/(1\/2). Let q = -29 + 29. Are f and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*f + 9, 4*b + 13 = 2*f + 3*f. Let q(o) = -2*o**2 - 17*o - 18. Let u be q(-7). Let 23\/3*y**u - b*y**2 - y + 1\/3 - 4*y**4 = 0. What is y?\nAnswer: -1\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k - 5*k - 2*k)*(k - 3*k + k)*(-15*k**2 - 14*k**2 + 23*k**2) - k**4 + 0*k**4 + 4*k**4 as n*k + x + t*k**4 + p*k**2 + h*k**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 31*l - 6. Determine x(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66326838?\nAnswer: 2, 3, 11054473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3739.3 and 1.\nAnswer: 3740.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39519701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500 and 1300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46.4 - 46. What is the second biggest value in g, 2\/11, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 44.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4195914 times 13\nAnswer: 54546882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 5. Let t be j(-5). Let b(h) = 2*h**2 - 3*h - 3. Let f be b(-2). Suppose t = 3*m - f - 4. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188690.3 nanometers in meters?\nAnswer: 0.0001886903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 8) to base 6.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 2, e: 8, c: 2}. What is prob of sequence ec?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 + 737\/5. Let u = 22.9 + -17.9. What is the third smallest value in -0.2, u, -0.04, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**5\/15 - 7*f**4\/9 + 28*f**3\/9 - 16*f**2\/3 + 5*f + 7. Factor a(t).\nAnswer: 4*(t - 4)*(t - 2)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 4*k = 16*t - 692, 0 = -2*t + 5*k + 355. What is the greatest common divisor of 136 and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1108 - -1517. List the prime factors of z.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-468)\/(-307944))\/(4\/47)?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97311 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*v = -90, 5*i - 2*v - 425 = 3*v. Let d = 169\/2 - i. Let n be 6\/(-2) + 1 + 0. Which is bigger: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*k + 172 - 172 - 71*k.\nAnswer: -153*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 9*t + 8 - 3)*(-5 + 1 + 3)*(-2 - 1 + 3*t**3 - 5*t**3).\nAnswer: -6*t**4 + 10*t**3 - 9*t + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4077 + 0.9077. Sort -0.4, x, 30, -0.05 in descending order.\nAnswer: 30, x, -0.05, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -2*(-10 - -1). Suppose c*i = 12*i + 200. Suppose -6*m + 16*m - i = 0. What is the greatest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, x: 4, w: 1, b: 6, h: 4}. Give prob of sequence xch.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -910\/3 - -305. Put 4\/3, 0.2, -10, i in ascending order.\nAnswer: -10, 0.2, 4\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 7:32 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242463, -484947, -727453, -969987, -1212555, -1455163?\nAnswer: -1697817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p - 3. Give i(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398897959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (25\/(-4))\/((-4)\/16). Suppose 31 = 2*v - q. Calculate the remainder when 83 is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aha when three letters picked without replacement from {a: 3, h: 6, q: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 284332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 1 + 1)*(-1 + 6 - 4) + 4*b - 4*b - b - 8 + b + 8 + 3*b - b - 4*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, -1\/3, 0.01, -2, -0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11105501 is divided by 186?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 999065497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -55.4. Let j = -22 + w. Let c = j + 3.59999981. Round c to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/3 - 14076*n**2 - 1098604*n\/3 = 0. Calculate n.\nAnswer: -26, 0, 42254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4\/5 (b) 60.8 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -3*t**4\/4 - 68*t**3 - 3255*t**2\/2 + 7350*t - 1121. Determine q so that o(q) = 0.\nAnswer: -35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + -2 + 0 + -2. Let t(u) = -4*u + 7 + 0 + 2 - 3*u + u**o. Calculate t(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/7, -1\/8 in ascending order.\nAnswer: -7, -1\/8, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144 - 228. Let r = 83.7 + s. Which is the fourth smallest value? (a) 5 (b) 3\/7 (c) 0 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:10 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:16 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**6\/40 + 3*c**5\/40 - c**4\/4 - c**3\/4 + 9*c**2\/8 + 30*c. Suppose j(x) = 0. What is x?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*2\/1*4\/60. Let u = -27 + 23. What is the third biggest value in 0.2, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1584 and 161774096?\nAnswer: 1455966864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**9\/504 - 13*n**8\/168 + n**5\/12 - 3*n**2 - 19. Find the third derivative of m(h) wrt h.\nAnswer: -120*h**3 - 1560*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 111. Suppose -20 = -x*l + 3*l. Let y(v) = -v + 6. Let w be y(5). Put 19, l, w, -2 in decreasing order.\nAnswer: 19, l, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 65*x - 25. Let i(f) = -3*f + 0*f - 13527 + f + 13530 - 6*f. Let j(d) = -2*d - 3. Let o be j(-3). Calculate o*g(q) + 25*i(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2265.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 39*j = 35*j + 74412, 0 = -2*c + 4*j + 37230. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 55514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b*g**3 + 116*b*g - 58723*b - 9*g**3 wrt g?\nAnswer: -15*b*g**2 + 116*b - 27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -9*s - 19. Suppose 3*p - 269 - 622 = -3*g, -5*g = s*p - 1186. Let c = p + -153. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9718093 divided by -671\nAnswer: 14483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -8869 < -8868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21227928?\nAnswer: 2, 3, 884497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 103169539 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4010 = -6*s + 2206. What is the highest common divisor of 112 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 11 = 6*p - 4*p, p = 2*h - 16. Solve -u = 5*s + h, -3*s = -u + 5 + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3086.\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 + 165 + (-73 - (3 - (-5 + -5 + 15))).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 - 1. Let u be v(1). Let p(r) = 3*r - 9. Let s be p(u). Let n = s + 30. Solve -w = -3*w + n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 15 = -0*c. Put c, 1, 5 in descending order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**2 - 4*p**2 + 0*p**2 + (24*p + 226 - 226)*(0*p - 2*p + 0*p) to the form c*p**2 + a*p + q and give c.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3682884 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -61931.\nAnswer: -61930.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*x**2 + 928*x**2 + 293*x**2 - 188*x**2.\nAnswer: 956*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 155, 287, 479, 749?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -49. Suppose g = 9*q - 11 - 43. Solve 0 = -2*z + q*x - x + 3, x - 1 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-30)\/(-8)*(-72)\/(-54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from aaavavaaaa?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -405 + 584. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 248 + -245. Suppose h - 5 = k, 0 = n*h + 3*k + 2*k - 15. Solve -w + 3*i = -8, -i = -5*w - h - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.17 - 0.97. Let l(w) = -w**3 + 4*w**2 + 4*w + 4. Let q be l(5). Sort 0.3, v, q in decreasing order.\nAnswer: 0.3, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -a?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*j - 17 - 1, j + 10 = -2*t. Let z be 1\/(-2)*t\/3. What is the third smallest value in z, -4, 3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6376 divided by 6376?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 1 (b) -0.011749 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-1\/5))**(-8\/5)*((v*v**(-2))\/v)**24 assuming v is positive.\nAnswer: v**(-1288\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + 4*(sqrt(704) - sqrt(704)*-2)**2.\nAnswer: 25353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423553454, -423553456, -423553458, -423553460?\nAnswer: -423553462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10670591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 5*l**2 - 3*l + 6. Calculate the remainder when i(7) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 3\/(-1)*(-2)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from {v: 13, e: 6}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1419755 and 1419760 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 598.749 nanograms in kilograms?\nAnswer: 0.000000000598749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*a. Let n = 0 - -4. Suppose -15 - 5 = -n*j + 4*u, -4*u - 8 = 2*j. Solve -12 = 2*y - 4*i + 2*i, -3*y + j*i - 16 = a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18620449, 37240901, 55861353?\nAnswer: 74481805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95259661 - 26*z + 95259661 - 26*z + 51*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(7 - 52\/8). Suppose -2*r + b + 509 = v, -b - 14 = r - 276. List the prime factors of r.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 32 = 2*a, 5*a - 20 - 24 = 4*n. Let w be (-10)\/a + (-1)\/(-3). Suppose -11*d - 30 = -5*d. What is the third smallest value in w, d, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1391 + 1390. Are -142 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12228, 24424, 36606, 48786, 60976, 73188, 85434?\n\"Answer: 2*l**3 - 19*l**2 + 12239*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(3\/1))\/(36\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 10*d**2 + 3*d + 25. Suppose 138*y - 300 = 168*y. Determine p(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1 - 2 + 1 - 2 - 3 + 3 - 2 + 0 + 1 - 2 - 2 + 2 + 2 + (-1 + 1 - 1)*(4 - 3 + 0) + 3 + 0 - 4 - 1 + 3 + 0)*(6 - 6 + 5)*(-i + 3*i - 3*i).\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 329*j**3 + 645*j**3 + 48*j**3 + 1880*j**2 - 4 + 4 wrt j?\nAnswer: 6132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + q**2 + q + 3. Suppose -i - 3 = 1. Let r = i - -4. Give g(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -12 + 18 - (-8 - -1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((51\/2)\/1)\/((-39)\/(-26)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(420))\/sqrt(10) - sqrt(42))\/(sqrt(24)*-1)*5.\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33927 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 7\/(-5) - (-391)\/85. Suppose 5 = 3*c - b, n*b + 25 = 5. Solve 4*t + 4 = -2*y - c, -5*y = 3*t - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 12*z + 14. Let w be h(11). Let n be w - (-1)\/(2\/(-12)). What is the tens digit of n\/6 + (-66)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 8 (b) 1 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (-107 + (61 - -17)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 20*b + 19. Determine y(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.8 - -0.2. Let m = 3 - g. Let z = 3.5 - 0.5. What is the smallest value in z, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-3*(-13144)\/124)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 9:25 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/8 + (-6)\/(-24). Let y = z - -4. Let t(g) = -2*g**2 + 4*g + 1. Let q(w) = -w**2 - 1. Let r(f) = -q(f) + t(f). Determine r(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162657841 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 843499.2nm?\nAnswer: 0.0000008434992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -68*t - 1929. What is i(-28)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -14. Let s = g + 11. Let p = -19 + s. Solve -b = -2*v - 2, -4*b - p*v = -v + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 64 = -k + 71, 3*p - 132 = -2*k. Let f be 27\/36*(-2)\/6. Put p, 3, f in increasing order.\nAnswer: f, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/24 and 81\/104249900.\nAnswer: 625499400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -593 * -4.\nAnswer: 2372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvllclcgpcplppcgy. What is prob of sequence vyp?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3332423532?\nAnswer: 2, 3, 277701961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, -1, 2.\nAnswer: -20, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3228202 is divided by 2155.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3139646666 to the power of 1\/2, to the nearest integer?\nAnswer: 56033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 2:40 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v + 7. Let s be y(3). Suppose 464 = 5*c + s. Suppose -2*k = -8, -c = -4*o + o - 2*k. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/13)*b\/b**17*(b**(-1))**14 assuming b is positive.\nAnswer: b**(-387\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -305*n + 153*n + 153*n + 2 - 2. Let m(l) = 112*l**2. What is m(h(s))?\nAnswer: 112*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (-20 - -29 - -6 - 2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4 - 175. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 93*w**2 + 1561*w - 45. Give c(22).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 1 - 1 + (-2*t - t + t)*(2 + 2 - 2) + 7*t - 2*t - 3*t - 509 + 747*t + 509.\nAnswer: 742*t","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 1639\/3 - 4919\/9. Suppose o + 0 = t - 1, 0 = -5*t. Let h be -2*26\/(-44) + o. Is h at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 1. Let d(i) = 98*i**2 + 18*i - 80*i - 24*i - 33*i + 98*i**2 - 4. Let b(k) = 4*c(k) + d(k). What is the second derivative of b(x) wrt x?\nAnswer: 400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o - 94823 = 4571440. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 5*l**2 - 5*l - 5. Let x be a(-4). Let n(u) = -u**3 - 31*u**2 - 27*u + 101. Let g be n(-30). Sort g, x, -5 in decreasing order.\nAnswer: g, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 0*x**3 - 9 - 8*x**2 + x - 5*x - 10*x + 5*x**3. Let r(d) = -d**3 + d. Let g(h) = -o(h) - 6*r(h). Let i(n) = -n - 7. Let b be i(0). Determine g(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*z - 23, -1 = -r + 3*z - 2. Suppose 7*q - r = 6*q. Solve s + 0 + 2 = c, 10 = -q*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -1, 12, 45, 104, 195, 324, 497?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27212a (base 11) to base 14.\nAnswer: b1a8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + t - 14 = 0, -8*z + 7 = -4*z + 5*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -2)*(-116)\/(-29). Let c be 4*1\/(-2)*-21. Let y = c - p. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -25*y**2 - 15*y + 70. Determine c(4).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.109 (c) -0.4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -22340*w - 80. Let z(s) = s**2 - 8*s - 77. Let k be z(-5). Let g be j(k). What is g rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/154 - ((-11526)\/(-374) - 31)) + (-1048)\/14.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49220272, 49220271, 49220270, 49220269, 49220268?\n\"Answer: -r + 49220273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280)*-5*6 - sqrt(1280))\/(6*(sqrt(1440) + (sqrt(1440) - (sqrt(1440) + -5*sqrt(1440))) + sqrt(1440))).\nAnswer: -31*sqrt(2)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (11\/((-55)\/175))\/(1\/(-19)) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 58 = -f - 11*q, f - 5*q + 24 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197967666.\nAnswer: 2, 3, 13, 47, 54001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 2*x + 2. Let t(u) = 1. Determine -j(s) + 6*t(s).\nAnswer: -2*s**2 - 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5444, 10892, 16354, 21836, 27344, 32884?\nAnswer: 38462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -33246*p + 9342152. What is f(281)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2. Let d(c) = 1565640172*c**2. Give d(x(h)).\nAnswer: 6262560688*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 3:45 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 155, 222, 123, -226, -909, -2010, -3613?\n\"Answer: -14*k**3 + k**2 + 162*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, k: 4}. What is prob of picking 3 k and 1 v?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let l(b) = b**3 + 17 + 6*b - 17. What is 6*i(q) + l(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76.4 - 75. Let k = -27 + 26.12. Let u = h + k. What is u rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/3*(-8 + 152\/16). Let y be (-2)\/(-12) - (-7 + (-150)\/q). Which is the nearest to y? (a) -2 (b) -0.4 (c) -0.96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -29. Let q be (-1)\/7*5\/y. Let k be 5\/(-10)*(2 - 2). Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjkjkjkjkjj. Give prob of picking 1 k and 1 j.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {n: 1, c: 1, a: 1, j: 1, f: 2, k: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 676248*q - 30 = -676253*q, -8 = -2*m - 2*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) -157 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 6. Let d be w(-3). What is the third derivative of 2*y**4 - d*y**2 + 3*y**4 + 0*y**4 wrt y?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -782*q**2 - 18*q**3 + 199*q**2 + 184*q**2 + 186*q**2 + 213*q**2.\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 5*i**3\/3 + 15*i**2 + 40*i - 381. Solve u(x) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4))**8)**(-39) assuming p is positive.\nAnswer: p**1248","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9692477 and 5068643.\nAnswer: 14761120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73998, -73998, -74000, -74004, -74010, -74018, -74028?\n\"Answer: -g**2 + 3*g - 74000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224314 is divided by 45.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 20*f + 197. Let d(g) = 2*g**2. Give d(c(u)).\nAnswer: 800*u**2 + 15760*u + 77618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -270 - -299. Which is greater: 26 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*r + 5*r + 2104. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 32479794407332?\nAnswer: -32479794407328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -1\/4. What is the biggest value in 3.3, c, -1?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-47 - 6) + 114.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 471 + -240. Suppose v*h - 236*h = -1085. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 724 + -4?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06993 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52134, -52077, -51982, -51849, -51678, -51469, -51222?\nAnswer: -50937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1273751 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125 - -157. Let p(r) = -n + 3*r - 30 + 56. What is p(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**3*r - 407018*h**3 + 23*h**2*r - 1233*h*r wrt r?\nAnswer: -h**3 + 23*h**2 - 1233*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 14*r + 621 = 0. Let g(z) = -z**2 - 23*z - 6. Determine g(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003040533115 rounded to five dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4. Let b = -45 - -40.8. Let a = b + -0.8. What is the smallest value in n, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 269 + -269.022. Let g = p + 0.02199783. Round g to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16934 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 18, 26, 46, 84, 146?\n\"Answer: m**3 - 3*m**2 + 4*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 219933468 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 1 = 0, 3*l + 11 = -5*i + 2*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 891*a**4 - 3895*a**2?\nAnswer: 21384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104 - -163. What is the remainder when b is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i**2 - 11*i - 21. Suppose 6*a - 11*a - 1 = c, 4*a - 4 = 4*c. Suppose -3*p - 19 + 25 = a. Let b(z) = -2*z**2 + 2*z + 4. Determine p*u(h) + 11*b(h).\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2)*2\/(-4). Suppose 2*p + 0*n + 2*n = 6, 3*p + 2*n = 7. What is the closest to -1 in -0.1, c, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23149 + 277*k**2 + 23148 - 3919*k**2 in the form p*k + r*k**2 + n and give r.\nAnswer: -3642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10 - 1328\/3)*6\/(-4).\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -255*i**3*k**2 + 2*i**3 - 5*i**2*k**2 - 2*i*k**2 wrt i?\nAnswer: -1530*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-6)*(q*q**39\/q)\/q assuming q is positive.\nAnswer: q**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -689 and 3.21.\nAnswer: -2211.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -28*g - 218*g**3 + 219*g**3 - 1 + 19*g**2 - 13. Is 28 a factor of j(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 124808.\nAnswer: 5\/124808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 99 = 10*p - 19, 1498*p = 1504*p + 48 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*33*(-2)\/9 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2) - (-5)\/((-25)\/(-10)). Suppose 0*z = -f*z - 5*n + 73, 47 = 2*z - n. What is the greatest common factor of z and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l + 0*l - 6424220 + 12848467 - 6424247.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*s + 4, 3*s = -2*v - 3 - 0. Suppose -5*n + 0*n + 5 = v. Let u = 18317\/38 + -482. Is u <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 8\/3*j + 2\/9*j**3 + 26 + 5\/3*j**2. Factor i(y).\nAnswer: 2*(y + 1)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29\/137 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2. Let r(h) = h**2. Let m(n) = 4*o(n) - 18*r(n). Let b(z) = -2*z. Give m(b(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.042 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*c + 16. Let k = 5 - c. What is the tens digit of (-6)\/(-18)*(-210)\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d - d**2 + 0 + 2\/3*d**3 - 1\/12*d**4. Suppose -2*z + 19 = 3*w, 8*w - 17 = 3*w + 4*z. Calculate t(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3 + 9*a**3 + 32*a - 46*a wrt a?\nAnswer: 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i - 12. Let j be t(4). Suppose -32 = -a + 5*a - 4*v, 4 = j*v. Let s(y) = 7*y - 63*y**2 + 0 + 64*y**2 - 2. Determine s(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2701391 (base 11) in base 4?\nAnswer: -101310230101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 224*m**2 + 1290*m - 1908.\nAnswer: 2*(m - 106)*(m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1465 = -30*h + 25*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4903318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**5\/3 + 5990*o**4\/3 - 20924*o**3\/3 + 11944*o**2\/3 + 3984*o = 0.\nAnswer: -1\/2, 0, 2, 1494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 758*u + 9862. Calculate s(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 = 12. Let h = 168 + s. What is the greatest common divisor of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f + 5*k - 25, 11 = 3*f - k. Suppose -f*c + 13 = 5. Suppose 5*u - c*u = 21. Solve -3*r + 2*p = -3*p + 16, 4*r - p = u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1784, -679, 2338, 8221, 17924?\nAnswer: 32401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 + 2*o**2 - 2*o**2 + 4*o**2 + 5*o to w*o + b + y*o**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -430984 divided by -3?\nAnswer: 430984\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/822 and 65\/15552?\nAnswer: 2130624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 276566 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 1478?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4*v - 6)*(5 - 2 - 4)*(4*v**2 - 4*v**2 - 9*v**2).\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 183, 143, 87, 15, -73?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17670883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 405 = 218 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 2, k: 2}. What is prob of sequence eke?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 3 - 3)*(3*r**3 - r**3 + r**3)*(-1 + 2 - 3).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 18 - (3 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Suppose -4*t + 7 + 13 = 0. Let l be v(t). Suppose 2 = -w + u, -l*u + 8 = 5*w - u. Solve 4*j = -3*g - 28, -2*j + 4 = -3*g - w*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4 + 3340*k**3 + 9804*k**2 - 149436*k + 269568 = 0. Calculate k.\nAnswer: -832, -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/88 and ((-6)\/(-8))\/(612\/4998).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 6:47 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.87 - -0.13. Is j not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3\/7 - 260580*d**2\/7 + 4244782908*d\/7 - 4242959044.\nAnswer: 4*(d - 32569)**2*(d - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, l: 2, p: 3, f: 1, e: 1, a: 1}. Give prob of sequence ef.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2 + 9 - 3 - 10*k. Let x(y) = 3*y - 3. Suppose -14 = -21*d + 91. Suppose -s - 35*c = -37*c, d*s - 5*c = -5. Determine s*u(r) - 7*x(r).\nAnswer: -r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 16*q + 25 = 0. Let j(w) = 8*w**3 - 5*w - 5. Let m(x) be the third derivative of -x**6\/120 + x**4\/24 + x**3\/6 - 2*x**2. What is q*m(v) + j(v)?\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -394 - -899. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1219\/996 + -16\/83. Let x = -3\/4 - u. What is the smallest value in 0, -0.1, -1\/5, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 79*w + 2 - 15 - 77*w + w**2 - 9. What is t(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 - 30*c - 12. Let u be q(-7). Let w be -72 - -113 - u\/(2\/5). Sort w, 0, 4 in ascending order.\nAnswer: 0, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - m + 23. Let r(b) = b**3 - 3*b**2 - 11*b + 5. Let u be r(5). Let x be n(u). What is the highest common divisor of 115 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 3*t)*(8847 - 8863 - 2*t - 5*t) to l*t + u*t**2 + j and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -121*a**6\/60 - 313*a**3\/3 + a**2 + 292*a. What is the derivative of n(t) wrt t?\nAnswer: -726*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 256 = -4*n, -4*s - 110 = -18*n + 16*n. What is the smallest common multiple of 168 and n?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*c + (5 - 3 + 0)*(2 + c - 2) + 125 - 5*c - 125 + 47*c + 24*c + 35*c + (2 - 2 - c)*(-1 - 2 + 4).\nAnswer: 104*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1169*q**2 + 2*q + 1633.\nAnswer: 2338*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (291 + 280 + 43*j - 535)*(-8 + 0 + 2) + 7 + 2*j - 7 to b + l*j and give b.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + s**2 - 3. Let f be i(-3). What is the lowest common multiple of 10 and -1*9*28\/f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/31, 0, 5, -1\/7 in increasing order.\nAnswer: -1\/7, -1\/31, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 5 - 25 + 31 + 161*m**3 + 41*m**3 to p*m**2 + t*m**3 + d*m + s and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 2*f**2 + f + 4*f**2. Let h(i) = -i**2 - 5*i - 3. Let n be h(-4). List the prime factors of p(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 4*h**2 - 4. Suppose -715 = -50*s + 1285. Suppose s*f + 136 = 6*f. Let n(c) = -3 + 0*c**2 + c**3 + 2*c**3 - 3*c**2. What is f*n(k) + 3*d(k)?\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 15 = 79*k - 147*k + 65*k, 4*k - 3*k + 30 = 2*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -59, 2572, -1.5?\nAnswer: 2572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -1299*h**4\/4 + 368*h**2 + 1348. What is the second derivative of p(y) wrt y?\nAnswer: -7794*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.58 + 0.6. What is the closest to g in 0.4, 2, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 70*x**3 + 27 - 69*x**3 - 2*x**4 + 74 in the form m*x**3 + n*x**2 + s*x + q + y*x**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -75 * -1\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -362, -730, -1102, -1478, -1858, -2242?\nAnswer: -2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + 1*sqrt(84) + sqrt(84) + sqrt(84))*1)\/sqrt(3))**2 - (-1*sqrt(56))\/(1*sqrt(128)).\nAnswer: sqrt(7)\/4 + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37626*b - 9308*b - 5411*b - 30982*b.\nAnswer: -83327*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by (-4)\/(-10) - 16697\/(-295).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -1 - (0 - 1). Let l(j) = j**3 - 4*j**2 - 6*j - 1. Let z(y) = 5*y**2 + 7*y + 1. Let x(o) = -5*l(o) - 4*z(o). Let q be x(-1). Solve f*v = q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + 0 + 7 + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35d3526 - -2?\nAnswer: 35d3528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 36*x - 38 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 5:33 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4860, 9588, 14278, 18930, 23544?\n\"Answer: -19*r**2 + 4785*r + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956474 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3*s**3 - 41413152*f**3*s**2 - 5*f*s**3 + f*s + 3*s**3 - s**2 - 120948*s wrt f.\nAnswer: -12*f*s**3 - 248478912*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2 + 107*w + 3 + 5.\nAnswer: 107*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/1365?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*q - 8 = 0, 0 = -2*c - 2*q - 12 - 2. Let j = 22 - c. Let r(m) = 2*m - 1. Let g be r(2). Solve 3*a = g*i + j, -3*a + 6*a = 5*i + 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 4 - 3 - 15*s.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 65450?\nAnswer: -65443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 + -87. Let i(y) = 201*y - 19. Is i(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**3\/6 + 21*q**2\/2 + 15*q. Suppose 3*r + 7 = 2*j + 22, j + 3*r + 12 = 0. What is u(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s - 6 = -28*s. Suppose 3*w = -s*p + 78, -4*p + 2*w = -78 - 32. Let g = 142 - p. Is g a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316750077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -6 - (-10 - (29 - 43)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183346513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:11 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/26, 8\/61.\nAnswer: -1, -3\/26, 8\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/7)\/((468\/(-8))\/(-3)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13428809?\nAnswer: 13428809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j - 3. Let p be q(2). Let r(s) = -s + 1. Let h be r(2). Does 4 divide (-63)\/p + h\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 11\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1783 + 1809. Let j(d) = 16*d - 3. What is the remainder when j(5) is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-4)*q\/(q\/q**(-6)*q*q*q)*(q**(-1)*q)**(-2\/13) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*r + 14*r + 18*r - 3*r + 3*r - 2*r + (-3*r + 5*r + 0*r)*(4 - 1 - 4) + 2*r - r - 3*r + 0 - r + 0 + 16*r - 10*r - 13*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 357*o**3 - o. Let v be p(1). Suppose -5*c + v = -c. Suppose -4*a = -2*i - 1044, -a + 328 - c = 5*i. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 3*i**2 - i - 4. Suppose 5*u - 3*u = -5*d - 703, -3*d - 1399 = 4*u. Let f = -352 - u. Give h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*a - 134*a + 791 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let x be (-45 + 89 - 42) + (-2)\/1. Let l(h) be the second derivative of x*h**3 + 33*h + 0 + 0*h**2 - 7\/12*h**4. Give m(l(g)).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1898, 3095, 4292, 5489?\n\"Answer: 1197*j + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6710 - -6707.211. What is m rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by (12 - -1) + 86 + -47?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.45 + 32.41. Which is the second biggest value? (a) g (b) 186 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*d**2 - 178*d**2 + 1725*d**2 + 721*d**2.\nAnswer: 2137*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-612)*6*84\/336?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m - 20. Let x be g(-4). Find p, given that -5*p**3 - 4*p**3 + 3*p**2 + 2*p**5 + p**5 - 12*p**x + 6*p + 9*p**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15197688 by 372.\nAnswer: 40854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 3 - 3 + 5*i - 69*i**3 + 2 + 249*i**3. Let v(k) = -k**3 - 6*k**2 + k + 7. Let p be v(-6). Is n(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.474935 hours to milliseconds.\nAnswer: 5309766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -330514*a - 18178272. Calculate d(-55).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 - 7039 + 0*u**2 + 0*u**2 + 8*u**3 + u**2 + 0*u**2 + 3*u + 7048 to r*u**2 + q*u + x*u**4 + k*u**3 + m and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144 or -2605\/18?\nAnswer: -2605\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -452270 and -52?\nAnswer: 23518040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 2*m + 4. Let b(w) = -w**3 - 3*w - 5. Determine -4*b(x) - 5*l(x).\nAnswer: -x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66\/959 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2. Let f(y) be the first derivative of y**4\/6 + 20*y**3\/3 + 5*y + 17. Let i(r) be the first derivative of f(r). What is a(i(w))?\nAnswer: 4*w**4 + 160*w**3 + 1600*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**7\/350 - i**6\/180 - i**5\/300 + 5*i**3\/6 + 2*i. Let n(s) be the second derivative of g(s). Factor n(y).\nAnswer: -2*y*(2*y + 1)*(3*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 1. Let n(w) = -w**2 + 2*w + 2. Let t be n(3). Let m(l) = 4*l - 2. Let s(d) = -5*d + 3. Let k(o) = -5*m(o) - 6*s(o). Give t*k(f) + 8*r(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-66)*-4*(-24)\/756*9?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millennium in years?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 2*z - 49. Determine u(0).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*(-120)\/204*(-6)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 2740455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -41210*i + 41760. Determine n(1).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 1287, 3807, 8697, 16743, 28731, 45447?\nAnswer: 67677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(220)\/sqrt(5)*1.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppwyyfypgffgwb. What is prob of sequence gy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45600.1nm?\nAnswer: 0.0000456001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.232 - 22.232. Which is the nearest to 0? (a) -1\/18 (b) 0.2 (c) s (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2120 - 2103. Solve 12 = 3*w - 4*x, -18*x = -3*w - h*x + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -111166?\nAnswer: 111161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j - 4. Let i be (-2 - -1) + 3 + -1. Let y(c) = 4 - i - 2. Calculate f(o) + 4*y(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 1:06 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -344, -768, -1334, -2114, -3180?\n\"Answer: -12*i**3 + i**2 - 343*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 109, 123, 149, 193, 261, 359, 493, 669?\n\"Answer: p**3 + 7*p + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 565, 0.4, -154, 3?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, -5\/6 in descending order.\nAnswer: -0.3, -5\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 14*v + 22. Let s be g(14). What is the greatest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24065*a**3*m*v - 2*a**3*m + a**2*v + a*m*v + a*m + 53*m*v wrt a.\nAnswer: -144390*m*v - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i**5\/7 - 3216*i**4\/7 + 58766*i**3\/7 + 383392*i**2\/7 + 542592*i\/7 = 0. Calculate i.\nAnswer: -8\/3, 0, 27, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l - 149. What is i(21)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63075351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 35. Let h be z(-20). Let a be (-1 + 1)\/(h\/(-25)). Solve -v + 5 = -a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5049216 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:18 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.63 - -9.39. Let d = r + -11. Is d smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/125*-5*37\/(-222).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, -18, -24, -8, 36, 114, 232, 396?\n\"Answer: n**3 + 2*n**2 - 35*n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {h: 3, a: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352406.\nAnswer: 2, 23, 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**5 + 3*z**4 - 21*z**3 - 3*z**2 + 18*z = 0.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 114192*v. Let y(i) = -3*i. Determine s(y(m)).\nAnswer: -342576*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14964317*s**3 - s**2 - 1109752*s?\nAnswer: 89785902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7026864673\/264 - -26617120. Let j = 623\/3 - z. Calculate the common denominator of -67\/10 and j.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*k + 6, 0 = -2*k + 3*g + 14 - 0. Suppose k*v - 11 - 54 = 0. Sort v, 0, -4, -5 in ascending order.\nAnswer: -5, -4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-4) + (-3502)\/561 + ((-25)\/55)\/5\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.43108 and -9.936.\nAnswer: -10.36708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65957 (base 10) to base 9.\nAnswer: -110425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020494 rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12932 divided by 3233?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (6\/(-15)*-5 + -1). Let w = -8 - -8.5. Which is greater: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuok when four letters picked without replacement from {o: 1, k: 2, u: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*k + 82*k - 160*k - 80*k as y*k + u and give y.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27980 times 104?\nAnswer: 2909920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 = 9. Let i(p) be the third derivative of -p**4\/24 - p**3\/6 - 18*p**2 - 5*p. Calculate i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9*x**(-12))\/(x*x**(-13)*x*x*x*x**(-4)*x) assuming x is positive.\nAnswer: x**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(7\/4)\/t**(-4)*(t**5)**(2\/13))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 11656398\/35 - 333424. Let z = k - -384. Are z and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29294.5 times 79?\nAnswer: -2314265.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*b = -36, 0 = -2*m + 4*b - 0*b + 36. Suppose -2*a + m = 4*a. What is the second derivative of a + 3*q**2 - 6*q - 3 - 10*q**2 wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**5 - n**5 + n**5 + (n - 2*n - 2*n)*(0*n + 0*n + 2*n**4) - 2*n**5 + 3*n**2 - 3*n**2.\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t + 1. Calculate r(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 5. Let b = 0 + 0. Let m be g(b). Suppose 3*n - 24 = 4*a - 9*a, -m*n + 3*a = -40. What is the least common multiple of 6 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, 0.2, -5, 3\/8, -3164, 3 in descending order.\nAnswer: 5, 3, 3\/8, 0.2, -5, -12, -3164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 112 - 688. Suppose 7*i - 3*i - t = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -11) + -13 + 8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 3. Suppose 0 = 2*o - 3 - a. Find the third derivative of 5*w**o + 2*w**3 - 4*w**3 - 3*w**2 wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 625684*x**3 - 5*x**2 + x. Let w be c(1). Let j be (-2)\/7 - w\/(-560). Round j to the nearest ten.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384000843 times -0.4\nAnswer: -153600337.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 5 = 11*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1150 + -190. Let z be k\/(-25) + (-6)\/(-15). Suppose -45 = -3*v + z. What is the smallest common multiple of v and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496 = 228*a - 104*a. Let v = -0.33 - -0.33. What is the closest to v in 1, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (-41)\/(-2) - (-3)\/6. Is 12 a factor of (6\/7)\/(k\/28756)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(14\/(-3)))\/(2\/(-7)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*g - 3*z + 282, 2 = -z. Let v = g + -25. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 3*h - 4. Let o be i(4). Let x = 1 - o. Let d be ((-432)\/x)\/((-2)\/5000). What is d rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34420?\nAnswer: 2, 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 20 = 8*n. Suppose 2*i + 4 = -4*m, 6 = -5*m + n*i - 7*i. Solve 0 = 4*l - 2*q - 10, m*l + l = 5*q + 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416648 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 1:09 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 458, 673, 888, 1103?\nAnswer: 1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*h = 3, h = -9*p + 4*p + 53. Let a = -9 + p. Let w(m) = 4*m**2 + 13*m**a - 15*m**2. Let z(f) = f. What is z(w(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 35 (b) 5 (c) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**4\/4 - v**3\/3 + 9*v**2\/2 - 12*v. Let w(o) be the first derivative of l(o). Let i be w(1). Solve -j = i*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdadvzqoa. What is prob of sequence qoa?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = g + 3, 0 = 3*g - 3*k + k - 19. Suppose -13 = -4*p + 43. Let u = 15 - p. Sort 2, u, g in descending order.\nAnswer: g, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11570210 is divided by 193?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27, -27, -37, -63, -111, -187, -297?\n\"Answer: -m**3 + m**2 + 4*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 8*l + 9. Determine d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - s + 224 = 0, -2*w + 0*s - 3*s + 450 = 0. Calculate the highest common factor of w and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2 = -2*c, -4*t - 102 = -110 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 28*z**2 + 27*z + 50. Determine u(29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 - 109. Suppose b*n - 27*n - 93 = 0. Suppose 3*a - 2*a = -3*h + 70, -2*a - 2*h + 128 = 0. What is the remainder when a is divided by n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/664 and 61\/8715?\nAnswer: 69720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2814, -36, -4 in decreasing order.\nAnswer: 2814, 14, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.02, 3, -1\/3, 3\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 123 = 119. What are the prime factors of 1755\/(-30)*(-1 - o)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2983 + 1709 = 0. List the prime factors of b.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3965 = -3*n, 5*w - n = 756 + 4186. Let y = -8846\/9 + w. Calculate the common denominator of 29\/158 and y.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 + 937*w**2 + 15406*w + 3267. Give o(328).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/18 + 3)*(-19 + 23\/552*446).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**7\/120 + k**5\/120 + k**3\/3 - 4. Let v(n) be the third derivative of s(n). What is the second derivative of v(d) wrt d?\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142723811 to the nearest integer?\nAnswer: 11947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + v - 72228 = 0, 1258*r - 3*v - 72204 = 1255*r. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 2. Let s be 7 + (0 - (n + -2)). Suppose j - 6 = -w, w - 42 = -s*j - w. What is the lowest common multiple of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63216908190 rounded to the nearest one million?\nAnswer: 63217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0736012527 rounded to 5 decimal places?\nAnswer: -0.0736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78661523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -59*f**2 - 5*f + 6. Calculate l(1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.75 + 0.25. Let r = 1469\/9 - 163. Put o, r, 3 in increasing order.\nAnswer: o, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26614770 divided by 48745\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 9010011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 70*x**2 + 71*x**2 + x**3 - 149*x**2 + 4 + 7*x. Give z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572554519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r - 26*r**2 - 6*r**3 - 9*r**3 + 2 + 16*r**3 + 25*r**2. Determine b(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(1*sqrt(10)))\/(sqrt(80)*1) + -2.\nAnswer: -2 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 9*m - 1. Let x be y(-6). Let k = x - 43. Calculate the common denominator of -37\/9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -n + 2*w + 33, -139 = -n + 4*w. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88922569 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4144 + 0?\nAnswer: -4144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 214472.23 days in weeks?\nAnswer: 30638.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2068526*r**3 - r**2 + 18220949*r wrt r.\nAnswer: 12411156*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, t: 1, b: 13}. Give prob of sequence bjtb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32331730871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -9 - (-13 + 2 + (-162)\/(-27)) - -415 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/14 - (120\/70)\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13994.707 + 14099.7. Let q = -0.007 - n. Let x = q - -105.073. What is x rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dudg when four letters picked without replacement from {m: 9, u: 1, g: 8, d: 2}.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.476 - 10.9. Let q = 8.376 - m. Which is the fourth biggest value? (a) q (b) 2\/11 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (103 - 33) + (-317 - -380)\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, f: 7}. Give prob of sequence yff.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + a69?\nAnswer: a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 8 + 4 - 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 73. Suppose 5*t - 3 = -g, 4*t + 2*g - 7*g = -15. List the prime factors of u(t).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*z**2 - 11*z - z**3 + 197*z**4 + 2*z**2 + 3*z - 176*z**4 wrt z?\nAnswer: 504*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 8) in base 7?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n - 2113. Let c(b) = 2*b + 6. Determine y(c(m)).\nAnswer: 8*m - 2089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143500415 and 21660440?\nAnswer: 1148003320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 2 + 56358\/2121\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198366330?\nAnswer: 2, 3, 5, 281, 23531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2\/14293, -4, -3\/5, 3\/8 in descending order.\nAnswer: 1, 3\/8, 2\/14293, 0, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28*(-2)\/(-4) - (4 + -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1312 + 0?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2858 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 53*y**3\/3 - 15*y**2\/2 - 28*y - 40. Let d be t(-3). What is the greatest common divisor of 38 and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 779396 = 78*p + 139*p - 728320. What is p rounded to the nearest one hundred?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/22903 and 29\/222.\nAnswer: 137418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.718 rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198118320.0000007 - -198118337. Let u = 0.36 - -16.64. Let h = r - u. Round h to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110453253 or 662719525\/6?\nAnswer: 110453253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and 703919.\nAnswer: 703913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -7542?\nAnswer: 7547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31804805405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1050 + -1052. Which is the closest to 1\/3? (a) 2 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 181 = 4*n, o + n = 6*n - 172. Is o\/(-5 + 2)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (-5 + sqrt(704)*2)) + 5*(-2 + sqrt(704)) + 4 + -1 + -1*(3 + 4*sqrt(704)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 4*n**2 - 5213*n - 20847. Determine a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f = f. Let n(l) = l + 3. Let y be n(f). Solve 5*a + 14 = -h, -3 + 12 = -2*a + y*h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**3 + 5*t - 5. Let j = -44 + 24. Let g be (3\/(18\/(-4)))\/(23\/138). Let l(r) = r**3 - r + 1. Calculate g*i(a) + j*l(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-6)*6\/(-10). Let o = 6 + -4. Which is the second biggest value? (a) 4 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 920634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0 + 0*b**4 + b - b**2 + 1\/30*b**5 + 0*b**3. Let n(p) be the first derivative of q(p). Let h(i) = -4*i**2. Give h(n(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8214.9992683 - 8215. What is n rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1033*c**2 + 193168*c + 45. Calculate x(-187).\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57.6 - -57.7. Which is the fourth smallest value? (a) -3\/92 (b) f (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1034, 1956, 2882, 3812, 4746, 5684, 6626?\nAnswer: 7572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*c - 16 = 4*t, 4*t = -4*c + 28. Suppose -l = -5*x + 36, 3*l + x = 28 - 8. Solve -p - 5*m + 35 = l*p, -t*m = -4*p - 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*y = -20, -66*y + 63*y = -4*u + 25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0109927665 rounded to 6 dps?\nAnswer: 0.010993","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:33 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6897\/5 + 1370. What is the common denominator of 28\/15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**4\/8 + 43*x**3\/6 + 18*x**2. Let s be k(-13). Solve -s*u = 1 + 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2892 - -0.0371?\nAnswer: -2891.9629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - c - 44 = -20*m, 2*c + c + 16 = 4*m - 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5694, 11388, 17082?\nAnswer: 22776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9998811 months in millennia?\nAnswer: 0.000083323425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.613267 to three dps.\nAnswer: 0.613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -y + 18, 0 = -0*x + x + 4. Let o = 21 - 16. Sort y, o, -5 in increasing order.\nAnswer: -5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v - 99. Determine x(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27 and 0.61.\nAnswer: 27.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least as big as 2\/4824887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/345990 and 70\/33.\nAnswer: 3805890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74475696*g*k**2 - 91*g*k - 2*g - 14434*k - 1 wrt k?\nAnswer: -148951392*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -720 by 4.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022201 + 111?\nAnswer: 11100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -729 + 725. Let d = -1 - -2. Sort w, d, 0.1 in increasing order.\nAnswer: w, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010027376 rounded to 7 decimal places?\nAnswer: 0.0001003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528252?\nAnswer: 2, 11, 47, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b - 10. Let i be l(7). List the prime factors of i\/4 - 1\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**4 - 400*a**3 - 11970*a**2 - 158840*a - 788785 = 0.\nAnswer: -23, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -582238*a**2 - 1080264*a**2 - 8 + 6 - 5*a. Let u be z(-2). Round u to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g = 0. Suppose -a = -g*a - 5. Solve 0 + 5 = a*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214381 is divided by 3832?\nAnswer: 3469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-310 - -5)\/5. Let v = 67 + w. Calculate the smallest common multiple of 20 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 73 = -28 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/56264 and -36\/35165.\nAnswer: 281320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.158 - 0.15452. Round v to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*p + 1708 + 47*p - 193*p + 46*p + p**2 + 52*p to k*p + m*p**2 + t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -96, 10\/1801, -4?\nAnswer: 10\/1801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**5 - 13*d**4 + d**3 + 49*d**2 - 52*d + 12 = 0.\nAnswer: -2, 1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 127, 257, 427, 631, 863, 1117, 1387?\nAnswer: 1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 11*g**2 + 12*g + 4. Let t be w(12). Calculate the greatest common divisor of 79 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/16 and -79\/510?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/15*1)\/1*(-4445)\/(-29337)\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - (-272)\/(-64).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 5:31 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**3 - 5*j**2 + 3*j - 5. Let f(k) = -3*k**3 + 5*k**2 - 2*k + 6. Let h(w) = -5*f(w) - 4*t(w). Let n be h(-5). Solve n - 3 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17392 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3 + 138618*k**2 + 4018348*k + 7482240 = 0.\nAnswer: -69280, -27, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20680, 82751, 186222, 331093, 517364, 745035?\nAnswer: 1014106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 24 = -5*t + 4*y, 3*t - 21 = y. Solve 3*d = t*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let j = -1 + 4. Suppose 3*r - j*h + 9 = 0, -22 = -2*r + 4*h - 9*h. Let w(o) = o**3 - 6*o - 1. What is r*w(k) + 6*v(k)?\nAnswer: k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*b + 4, 2*j - j + b = 1. Suppose -m - 3 = j. Let p = 3 - m. Solve s - p = -2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -27. Suppose -5*k + 0*n + 810 = 4*n, -l*n = 0. Suppose 0 = 6*q + k - 690. Is q a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x + 196. Let p be l(23). Solve 0 = -3*a - 3 - p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*t**2 + 42*t - 16*t + 367*t**2 - 16*t - 10*t.\nAnswer: 101*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 10*a + 6. Let n be q(16). Suppose -5*s + 223 + n = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82673 - 16699895\/202. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4 + 13*k**3 + 17071*k**2 + 3*k - 4020721 wrt k.\nAnswer: 8*k**3 + 39*k**2 + 34142*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 11*k**2 + 28*k - 5. Let j be s(-7). Is (62\/j)\/(16\/(-6280)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*q + 64 = 0, -b + 2*b - 24 = 3*q. Calculate the highest common divisor of 60 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (3*-4*sqrt(448) - sqrt(448))**2.\nAnswer: 75714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7112142 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 + -536. Let u = 2854 + i. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 657544 + -7.\nAnswer: 657537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 2:58 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 9*f**2 + 10*f + 5. Let r be n(-10). Suppose 4*d - 12 = r*d. What is the common denominator of -23\/5 and 192\/(-22)*(-4)\/d?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 1\/3*c**3 + 0*c - 1\/420*c**7 + 4*c**2 + 1\/60*c**6 - 1\/40*c**5 + 0 - 1\/12*c**4. Let u(r) = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 6*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -129.\nAnswer: -129, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/3 - 35446*u**2\/3 - 156963712*u\/3 + 785704960\/3 = 0.\nAnswer: -8864, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q + 1. Let j be k(-1). Suppose 0 = 2*x - j, 2*p - 86 = -4*x + 114. Calculate the greatest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9489, 19013, 28575, 38175, 47813?\nAnswer: 57489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1146 + 8044\/7. Calculate the common denominator of (-2 + 0)*(-31)\/(-16) and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 6*p**3 + 3*p**3)*(-3*p + 0*p + 4*p) - 2*p**4 - p**4 - 2*p**4 + (4*p**2 - p**2 + 0*p**2)*(-p**2 + 4*p - 4*p).\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-3)*(-6)\/8*-44. Let m = u - 74. Suppose 0 = -m*y - 2*y, 4*g - 2*y - 368 = 0. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -457, -450, -439, -424, -405?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 44*w**2 + 398*w - 51. Give l(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5205 = -5*h, -4*h = d - 2445 - 1716. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*m**4 - 204*m**3 + 14202*m**2 - 17?\nAnswer: -1488*m - 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfv when three letters picked without replacement from flkddlcv.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/(324\/(-292724))*9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k + 1 + k + 0 + 4*k**2. Let v(x) = x**2 + 1. Let h(t) = -g(t) + 3*v(t). Let a be h(-7). Solve p + 2*r + a = 1, -p + r - 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3543, -4414, -5287, -6168, -7063, -7978, -8919, -9892?\n\"Answer: -f**3 + 5*f**2 - 879*f - 2668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45450 and -0.6966.\nAnswer: 45449.3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4126\/35 - 828\/7. What is the fifth biggest value in j, -3\/5, -0.07, -2\/9, 0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 4198.4?\nAnswer: -1679.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 283 + q + 317 + 241 - 101 in the form f + s*q and give f.\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 + 532*g**2 - 73341*g + 681210 = 0 for g.\nAnswer: 10, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 5508?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 104, 155?\n\"Answer: 51*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 421 and 272174816?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, w: 6}. What is prob of sequence lll?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 4*q**2 + 2*q + 3. Let j be u(3). Suppose -k + 6*k - 25 = j. Suppose -35 = -k*p + 25. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z + 1. Let j(u) be the third derivative of 0 + u**2 - 1\/6*u**3 + 0*u - 1\/6*u**4. Let m(a) = -22*a + 25. Let n be m(1). Give n*y(c) + 4*j(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 439\/1192 + 1\/149. Put 2, -6, r in decreasing order.\nAnswer: 2, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -118537.3 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 1690737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 12*j**2 + 7*j - 70. Determine u(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -253\/2 + 128. Suppose -5*w + 0 + 5 = 5*v, -v - 8 = 4*w. Which is the third smallest value? (a) v (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 - 0.06. Let c(l) = 5*l - 75. Let w be c(16). Let b be (126\/315)\/(4\/w). What is the smallest value in 4\/11, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35c (base 14) in base 12?\nAnswer: 47a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -6*v + v + 42, 0 = -4*u - 8. Solve 0 = -5*k - 0 + v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/8*((-36)\/(-9))\/(-28).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9658.991 tonnes to kilograms.\nAnswer: 9658991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9503\/(-61404) + 2\/8.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/17802 and -77\/92966.\nAnswer: 836694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 536942.5g?\nAnswer: 536942500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.22 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.2. Let h = -1467\/13 + 113. Which is the third biggest value? (a) h (b) d (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1569*i + 1564*i - 4693*i - 1 + 1562*i.\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/10 (b) 2 (c) 24\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q - 5. Let h = 35 + -46. Let z(v) = 2*v + 2. What is h*z(o) - 4*a(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3797769 to the nearest integer?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 2*p - 7. Let i be (-18)\/(-4) + 2\/4. Determine h(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvwlllmlvmympv. Give prob of picking 1 p and 1 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3)\/t**(2\/3)*(t**1\/t)**(-25) assuming t is positive.\nAnswer: t**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 3*b - 7337 = 0. Let j = b + 1. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (1*sqrt(98)*3 + -2*sqrt(98) + 4 - (-1 + 1*(sqrt(288) + -1))).\nAnswer: -5*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5326 is divided by 57?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2. Let f(o) = 4*o**2 - 6*o - 6. Let p(c) = 3*c**2 - 5*c - 5. Let j(v) = -5*f(v) + 6*p(v). Determine j(n(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 3*g - 2. Let p be c(1). Suppose -p*d = 3*d - 210. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2 + sqrt(26)\/(sqrt(12)\/sqrt(6)))*-6 + 1 + 5)**2 + 4.\nAnswer: 108*sqrt(13) + 553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8425708071108 + -24.\nAnswer: 8425708071084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56923 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 33*k**3 + 102*k**2 + 75*k + 6 = 0.\nAnswer: -2, -1, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387, 772, 1191, 1650, 2155, 2712?\nAnswer: 3327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/2 + 105606*f + 844880 = 0. Calculate f.\nAnswer: -8, 211220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488966 = -40*o + 489846 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 14 + -9 + -11. Put s, -55, 4 in increasing order.\nAnswer: -55, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 10*h - 7. Let v(t) = -t + 1. Calculate r(g) + 5*v(g).\nAnswer: -2*g**2 + 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -124 - 112. Let o = h - 39. What is the least common multiple of o and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f - 9*f - 6*f + 5*f.\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-30))\/(24\/27)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*x - 393 + 1653 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 14) to base 4\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**4\/4 + w**3\/3 - 7*w**2\/2 - 7*w. Calculate the remainder when k(3) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 26*n - 30. Determine x(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b**3 - 4*b**2 + 10*b - 7. Calculate q(2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -15*p - 4. Let w be m(10). Let c = w + 78. Let y be 1\/(-2) + 361\/c. Which is smaller: -5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r. Let t be (2\/(-4))\/((-12)\/1296). Let z = t - 51. Suppose 0 = 5*u - 2*c + 3, z*u - 2*u = -c - 2. Calculate o(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 + 108.\nAnswer: 108.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 4*q**2 - 6*q - 1. Let x be h(-5). What is the first derivative of 5 - 2*z - 5*z**x + 2*z + 9 wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 1386*x - 3*x**3 + 32*x**2 + 1384*x to t*x**2 + p*x**3 + f + o*x and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 3*n - 4. Let h(w) = 15*w**2 + 15*w + 21. Let k(c) = -4*h(c) - 21*i(c). Factor k(j).\nAnswer: 3*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -12*m + 22 + 26*m - 12*m. Let a be v(-10). Solve a*s - 9 = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 17*q - 44. Let d be s(-3). Let a be 52 - (d - -3) - -4. What is the greatest common factor of a and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 4:11 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1167 - (3 - 3 - -3). Let q(i) = i - 2. Let b be q(6). Calculate the common denominator of 37\/12 and 1\/b*n\/54.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 38. Suppose 5*k - r = 4*d, 4*d = 3 + 5. Let b(i) = i**2 + 5. Let m(j) = j**2 + 6. Determine k*m(p) - 4*b(p).\nAnswer: -p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 328976?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.55 rounded to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 20150?\nAnswer: 20152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 9*d**2 - 11*d - 5. Let h be g(-10). Suppose -3*t - 3*m + 48 = 0, 4*t = -h*m + 11 + 56. Let s = -6 + t. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a centimeter in millimeters?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s**2*s)))\/s*s**(-4)*(s**(1\/2)\/s)\/s*s*s**(2\/25)*(s**(-4)\/s**(-2\/5))**(-2\/5) assuming s is positive.\nAnswer: s**(-49\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1, -4 in decreasing order.\nAnswer: 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 2*u**5\/15 + 15*u**4\/8 + 25*u**3\/6 + 482*u**2. Find l such that f(l) = 0.\nAnswer: -5, -5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 3*s**4\/16 + s**3 + 15*s**2\/8 + 3*s\/2 + 7. Factor i(h).\nAnswer: 3*(h + 1)**2*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6341*d - 25363. Determine a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/6603 and -109\/20874?\nAnswer: 647094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7970458 is divided by 322?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134465308?\nAnswer: 2, 17, 47, 42073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-10))\/((-111)\/(-114) + -1). Suppose 36 = n*x - 17*x. Calculate the least common multiple of x and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 99, 224, 399, 624, 899?\nAnswer: 1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 104 = -4*j. Calculate the highest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 16*s. Let t be r(-16). Let j = 5 + 3. Let b = 12 - j. Solve w = -b - t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 11*f + 2253 = 0. Is f 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 71570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 + 0.02. Let u(o) = 4*o**2 - 36*o + 21*o + 25*o - 26 + o**3 + 9*o**2. Let j be u(-12). Which is the third biggest value? (a) i (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 109.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -775*p**3 + 177*p**3 - 342*p**3 + 939*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1323.98959 + -1324. Let s = z - -0.01. What is s rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29261 and -3013778\/103 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 3)*(7*f**2 - 2*f**2 - 3*f**2) - f**2 + 0 + 0)*(1062 - 504*f - 1062).\nAnswer: -1512*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -3 + 3 + -2 + -11.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24883 is divided by 6141?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579330 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4605, 18359, 41277, 73353, 114581, 164955, 224469, 293117?\nAnswer: 370893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -43 (b) 2 (c) 0.09 (d) -3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 13*b + 106. Let v be q(12). What is v rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-29 - -28)*-1*1. What is x rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.03 - 0.03. Is j < 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 - 4*x**2 - 30*x - 15. Is s(-4) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 0.902?\nAnswer: 10.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 5*l + 8. Let c be x(6). Suppose -3*h + 12 = 3*f, -8 = 2*h - 6*h - c*f. Suppose -w + 24 = -h*w. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10854861 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1992 - 11298 = 443*c for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a millennium?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 2, s: 1, x: 1, m: 2}. What is prob of picking 2 r and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -134621\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + b - 5, 99*a + 3*b = 110*a + 30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lffj when four letters picked without replacement from {f: 2, j: 3, l: 1, w: 7, s: 3, q: 3}?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 4) + 2 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*4\/12*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 1\/4*q**4 + 5*q + 0 + 1\/2*q**3 + 1\/60*q**5 + 2*q**2. Determine z(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**2\/7 - 3573428*u\/7 - 3573424\/7 = 0.\nAnswer: -893356, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 45 and -2827 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 131926, 131925, 131924, 131923, 131922, 131921?\n\"Answer: -w + 131927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166\/1065 + 8\/355. Which is the closest to 2? (a) 0.1 (b) -5 (c) m (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*z - 723369 - 891681. Is z a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 2*x - 2*x)*(x - x - x**2) + 27*x**4 - 27*x**4 - 36*x**5.\nAnswer: -37*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqnn when four letters picked without replacement from nnnqnnnnqnqnqnnqqnn?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 7*w - 4. Let r(i) = i**3 - 7*i**2 + 7*i. Let o be r(6). Let q be n(o). Find the second derivative of 0*g + g + q*g**2 + g**2 - g**2 wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 494539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*r - 11 - 17 = 0, -3*r + 12 = 0. Calculate the remainder when 67 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382*l = 371*l + 6303. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 6*d**2 - 2*d - 2. Let i(p) = -2*p**3 - 11*p**2 + 5*p + 4. Let v(n) = 4*i(n) + 7*r(n). Is v(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.32 + 13.08. Let d = -5.6 - t. Which is the closest to 2\/3? (a) d (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 8*f + 30. Let q be t(14). Let h = 68 + q. Suppose 19*r - h*r = 25. Solve -3 = -r*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -4961692\nAnswer: 19846768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/10 and (0 - (-89)\/(-27))\/(1470\/(-42)).\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 1\/6*p**3 + 0 + 0*p**2 - 2*p. Let f(h) = 2*h. Calculate m(f(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + r**2. Let i(u) = 15*u**3 + 3*u**2. Let o(y) = i(y) - 12*z(y). Let o(q) = 0. What is q?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 smaller than 249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4449376, 4449368, 4449360, 4449352, 4449344, 4449336?\nAnswer: 4449328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*n = 575, 260*n - 1725 = -3*j + 265*n. Solve 22 = 586*q - j*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2027*v = 2026*v - 3*y + 1, -5*v + 2*y - 46 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 718\/(-5)*(-825)\/110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 11*p + 3*j + 56, 3*p = j + 32. Calculate the least common multiple of 3 and -6*4\/(-15)*p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300)*-6*-6.\nAnswer: 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 4, 4\/7 in decreasing order.\nAnswer: 6, 4, 3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(6*(sqrt(76) + (sqrt(76) - (-2 + sqrt(76) + 0))))**2*-2.\nAnswer: -11522 - 1152*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1628844333 - -0.1?\nAnswer: -1628844332.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 2 - (62 + -71)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 - 94. Suppose -5*y - 5*x = -6*y + 13, -4*x - 8 = 0. Solve 0*s = -y*s + l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 16 = 4*g. Find the third derivative of -7*o**6 + 0*o**2 + 14*o**g + 4*o**6 - 14*o**2 wrt o.\nAnswer: 1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 10, 0 = v - 10*l + 5*l - 4710. What is v rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-71)\/(-3)*(1 - -2).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2*g)**3\/(g**7\/g**(-1)))**(-14) assuming g is positive.\nAnswer: g**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1006 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 6:12 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*x**2 - 3*x**2 - 6*x**2 + x)*(-x - 2*x**2 + x) in the form m*x**3 + t*x**4 + z + o*x**2 + a*x and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**3 - 3709*q + 26*q**3 + 12*q**3 + 3709*q.\nAnswer: 58*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3204 is divided by 1417.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by -15?\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 - 123?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1147057740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6)*133\/70 + (-145)\/(-174)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) 1\/8 (c) 168\/5 (d) -1350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 5:59 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 7. Let m(j) = j**2 + 7*j - 6. Let a be m(-7). Is u(a) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 25311*l**2 - 991272*l + 3559920.\nAnswer: 3*(l - 35)*(l - 4)*(l + 8476)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**3 - 8*w**2 - 17*w + 10. Does 22 divide s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 7. Let d be v(-6). Suppose 4*u + 2 = 2*m - 8, -m + 5*u = -5. Put m, -2, d in descending order.\nAnswer: m, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 90, 5 in descending order.\nAnswer: 90, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (1 - 0) + -10 + 13\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 + 33*b**2 + 45*b - 162. What is k(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 21*b**2 - 4. Let n(q) be the third derivative of 0 + 0*q - 1\/6*q**3 + 1\/12*q**5 + q**2 + 0*q**4. Give -2*k(m) + 9*n(m).\nAnswer: 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70127 + -70116. Let w be 1*(1 - -1 - 0). Suppose 0 = -w*o + v - 0*v + 7, -2*o + 13 = 5*v. Solve o*l + j = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(19))*2)**2*-2.\nAnswer: -280 - 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 408, 0.4, -4221?\nAnswer: -4221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1 - 6 - 12*l + 38 + 4. Calculate the remainder when q(-4) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 10:19 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3 - 6651*t**2 - 33192*t - 26544 = 0.\nAnswer: -2212, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11372, -22767, -34168, -45575?\nAnswer: -56988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*l + 21, -2*n - 4 = -0*n + 5*l. Let a be (2 - n) + (-2 - -11169523). Let q = a - 17069520. What is q rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*h - 653 = h, -3*p + 4*h + 411 = 0. Suppose 4*u - 20 = 0, 2*l - u - 2*u = p. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000834 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 179 = 4*t, -40 + 215 = 4*t - 5*z. Calculate the least common multiple of t and 3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/630)\/(4\/10)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*i**3 - 52*i**3 + 0*i**2 + 85*i**3 + 92*i**3 - 63*i**2 wrt i?\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 72. Solve 15 = -k + x*m, 4*k - 2*k - m + 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0834000463 take away 13?\nAnswer: -12.9165999537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 10:23 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - -49. Which is smaller: d or 97?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6379, -6206, -5917, -5512, -4991, -4354, -3601?\nAnswer: -2732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658030.\nAnswer: 2, 5, 11, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -382 - -385. Let x(z) = -5*z + u*z - 1 + 7*z. Let o(r) = 14*r - 2. Calculate -4*o(b) + 11*x(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (559\/78)\/(-43)*2*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f = 4519*j - 4512*j - 130, 3*j - 160 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/392 and -9\/784.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5393 is divided by 57?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - n**2 + n + 58. Let g be a(0). Let b = 233\/4 - g. Factor b*s**3 - 1\/4*s + 0 + 0*s**2.\nAnswer: s*(s - 1)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 735712*f**2 - 367271*f**2 - 368449*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 2, -21, -3 in ascending order.\nAnswer: -21, -5, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 9. Let o be s(-6). Suppose 3*k - o = 126. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3433 - 2337. Suppose -14*v + y = -10*v. Is 14 a factor of (-27)\/(-45) + v\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2 - 2*j + 3 = 0. Calculate j.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 greater than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 13*p = 6. Suppose -2*c + 5*q + 4 = 0, 4*q - q - 4 = -p*c. Suppose 0 = -3*z + 16*z + 13. Sort -3, c, z, 4.\nAnswer: -3, z, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 0 - 2 + 3*b + 2*b + 3. Calculate o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(704))\/(sqrt(64) - -2*sqrt(64)) + -5)**2.\nAnswer: 20*sqrt(11)\/3 + 269\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 135 * -423030\nAnswer: -57109050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -504 - 6?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287314 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 25*u**6\/8 - 41*u**3\/3 - 434*u**2. Differentiate c(q) wrt q.\nAnswer: 1125*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 bigger than 271\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 9:20 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14370 - 14370 + 17*g**2.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 + 3707*w - 22245. What is h(6)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7895 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 2:55 AM and 5:59 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696001769?\nAnswer: 29, 797, 30113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 4\/(-4) - -1. Which is greater: -1\/18 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 332592.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15005541 + -1?\nAnswer: -15005542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 423114, 846784, 1270452, 1694118, 2117782?\n\"Answer: -b**2 + 423673*b - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -61. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(1 + -5 + 3). Let g(q) be the first derivative of 7\/2*q**4 + 2 - q**2 + 4\/5*q**5 + 4*q**3 - s*q. Factor g(a).\nAnswer: 2*(a + 1)**2*(a + 2)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158127552 divided by -81\nAnswer: -1952192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 8*f - 30. Suppose 2*s + s = -5*w + 37, -w + 13 = -f*s. Solve -3*m - m = -w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3977 = 2*x - 1307. Suppose -v + 5*y + 1295 = 0, -8*v + 10*v - x = -3*y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2668, -3346, -4022, -4696, -5368, -6038?\nAnswer: -6706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 4, -4, 293 in descending order.\nAnswer: 293, 4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 16*y + y - y)*(5 - 3 - 4)*(-12*y + 9*y + 17*y) as t*y**2 + p + j*y and give t.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/15)\/(4\/(-10)). Let c(v) = 67*v**2 + 3*v + 1. Is c(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 247, 998, 2247, 3994, 6239, 8982?\n\"Answer: 249*w**2 + 4*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/7221 + (-846)\/(-14442).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97000941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. Let i = 113517 - 33374029\/294. Let r = i - 3\/49. What is the closest to 1 in 2, y, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 5126054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 225291284 and -9?\nAnswer: 225291293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14a75 - 130?\nAnswer: -14ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167618*h**2 + 335230*h**2 - 167622*h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/10 - 12\/(-20). Suppose v*g - 2*g = -4*n + 30, 4*g = 5*n - 33. Let c be -5*(2 - -3 - 4). Put c, n, 5 in ascending order.\nAnswer: c, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 46 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 19159 = -0*a + 2*u, 0 = u - 3. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2173, -8764, -19749, -35128?\nAnswer: -54901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*r**3\/19 + 2142*r**2\/19 - 1328*r\/19 = 0. What is r?\nAnswer: -83, 0, 8\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/4)\/i)**(-36)*(i\/(i\/i**(-4)*i*i*i))\/(i**(-3\/5)*i))**(-1\/37))**(1\/14) assuming i is positive.\nAnswer: i**(-94\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04804582 to 4 dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 5) in base 2?\nAnswer: 1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. What is the second derivative of g + i*g**5 - 7*g**5 + g wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -60, -4, -27\/14?\nAnswer: -27\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = w - 55, 2*d = -5*w - 1 - 0. Let g be -34 + 2*6\/(-4). Let n = d - g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4623 (base 10) to base 3.\nAnswer: -20100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 561*z**5 - 595*z**2 wrt z.\nAnswer: 33660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 - -685. List the prime factors of j.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 0, 7, 18?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*h**3 + 361*h**3 + 2458*h**3.\nAnswer: 3198*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6\/p**3)**(3\/8)\/((p**9*p**(-5))\/(p**(-3)*p*p**(-1\/6))) assuming p is positive.\nAnswer: p**(-121\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1434*k**6 + 24413*k**5 + 2*k**2 + 7539763*k + 8 wrt k?\nAnswer: -172080*k**3 + 1464780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3\/2*t**2 - 3\/4*t**5 + 3\/2 + 0*t**4 - 9\/4*t + 3*t**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**4 - 32*d**3 + 5*d**4 + 31*d**3 + (6*d**3 + 0*d**3 - 4*d**3)*(4*d + d - 3*d) - 5*d**4 + 4*d**4 + 2*d**4 + (2*d**3 + 4*d**3 - 3*d**3)*(-d - 2*d - d).\nAnswer: 4*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/7*(-7)\/(-30)*10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5286 and 144.\nAnswer: 126864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1243*v + 1358*v - 61295 = 0. What is the remainder when v is divided by 140?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t + 3*t - t + (-2 + 2 + 1)*(-5*t + 0*t + 3*t) in the form d*t + q and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 32. Let l be s(-16). Solve 9 = -3*i - l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 - (7 - (8 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2576, 5188, 7800, 10412, 13024, 15636?\n\"Answer: 2612*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:04 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.2407 (b) -1 (c) 2\/11 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**3\/5 - 8592*v**2\/5 - 12303744*v\/5 - 5872987136\/5 = 0.\nAnswer: -1432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:18 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 70?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 24*y**2 - 5 + 14 - 3*y - 30*y**2. Let a be r(5). What is the units digit of ((-30)\/40)\/(1\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 330188793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4449 and -0.9.\nAnswer: 4448.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/12, 2\/5, -2, -235969, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -6. Suppose -4*s + 7 = -w. Suppose 2*v + 0*v - 50 = s*n, -13 = -v - 2*n. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-9) - 1)*(-72)\/180. Let i = -400\/3 - -134. Which is the smallest value? (a) -3 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46460, 46433, 46348, 46175, 45884, 45445?\n\"Answer: -5*n**3 + n**2 + 5*n + 46459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y - 14. Let o(f) = 7*f + 15. Let p(j) = 6*c(j) + 5*o(j). Determine p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, 1, 2\/41, -2, 0.4?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3}. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/9)\/c)\/c**(2\/25))\/(c**7\/(c**(-24)\/c)) assuming c is positive.\nAnswer: c**(-7493\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -404\/15 - -401\/60. What is the common denominator of z and 17\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 25 = v. Suppose -4*g - v*h = -g - 45, 5*h + 25 = 4*g. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.189\nAnswer: -0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5309?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2020 + -1428. Suppose 13*p + k = 21*p. What are the prime factors of p?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4099 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 31. Give g(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 772638 - 1419038. What is f rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 891*v + 949*v + 5694 = 1984*v - 9426 for v.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.85 times -1.2?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42089, 168400, 379019, 674030, 1053517?\nAnswer: 1517564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16059 - -16059.080943. Let r = 1.961 - 1.88. Let u = z - r. Round u to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-15))\/(((-39)\/130)\/((-20)\/8)))\/8?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-9))\/5*8\/((-48)\/(-54)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (174\/24 - 8)*(0 + 4). Let v(i) = 2*i + 2. Calculate v(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3540 - -3621. List the prime factors of o.\nAnswer: 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 48 = 137*g - 115*g. Solve -r + 0 = 2*v + 4, r + g = v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241724 - 62440 + 142152 = -11373*l + 1919*l for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58.6 + 8.6. Let k = -50.1 - u. Which is the nearest to -1? (a) k (b) -5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 3*w**5\/10 + 5*w**3\/6 + 2*w + 6. Let l(z) be the first derivative of s(z). Find the second derivative of l(f) wrt f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 + f + 2. Let u be (-72)\/(-33) + 4\/(-22). Suppose -7 = -u*l + 3. Give v(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 5003188970060.\nAnswer: -5003188970062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppla when four letters picked without replacement from aawawawlwdppdw.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 6\/23, -5, 2\/19, -50, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9045*z**2 + 3120*z**2 + 2587*z**2 + 4321*z**2 as j*z + n + p*z**2 and give p.\nAnswer: 19073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d + 35. Let q be n(0). What is the common denominator of 43 and ((-615)\/q)\/(60\/(-21))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2704, -11092, -25172, -44950, -70432?\nAnswer: -101624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + 29. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w - 10. Let j be t(4). Suppose -2*u - 4 + j = 0. Is u at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/9))\/(x*x**(-3\/8)\/x)*(x\/(x*x**2))**18*(x\/((x\/(x\/x**(-5)*x)*x)\/x)*x\/(x*x**1))\/(x*(x*x\/(x*x*x**(-1\/2)\/x)*x)\/x)**(-25) assuming x is positive.\nAnswer: x**(2431\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) -102.9 (c) -1.4 (d) 5 (e) -0.4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 7:08 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4076 is divided by 1555.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1115796*m*n**4 + 50*m*n**2 - 5*m*n + 3*n**2 - 3*n - 3 wrt n.\nAnswer: -26779104*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27252 (base 8) to base 11.\nAnswer: -8a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 + -4.9. Which is the smallest value? (a) 0 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + 4*(sqrt(130) + sqrt(130)*-5))\/(sqrt(160) - (sqrt(160) - sqrt(160)*4) - sqrt(160)) + 4)**2.\nAnswer: -10*sqrt(13) + 581\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 96. Suppose -2*j - 47 = -3*u, -28 = 3*u - 3*j - y. Let t = -7 + u. Calculate the smallest common multiple of 4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58978\/7 + 8426. What is the fourth smallest value in x, -1\/5, 23, 2\/3, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/33 and -15\/652553.\nAnswer: 1957659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*g - 6, -5*r = -4*g + 1 - 3. Let l = 1 + r. Suppose -2*k + 12 = k. Solve -l*u = -k*u - p, 4*u - 5*p + 18 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*n + 1327 = -191 + 142 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1626, 2214, 3188, 4548, 6294, 8426?\n\"Answer: 193*x**2 + 9*x + 1424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6051 (base 7) to base 3.\nAnswer: 2212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1306 - 833. Is 77 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 290015110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 372 - 1042. Does 44 divide y\/(-5) + -1 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a day in minutes?\nAnswer: 4480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 73.6. Let i = 12.6 - x. Let z = 1\/21 - 29\/21. Which is greater: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4 = 3*g, s + 3*g - 6797 + 6808 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1386123.921 microseconds to weeks.\nAnswer: 0.0000022918715625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 371 - 379.17. Let z = 0.17 + o. Let d = -8.3 - z. What is the second smallest value in d, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -332*i - 51. Let t be n(-16). Suppose 0 = -q + b + t, -3*b = -5*q + 5436 + 20879. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/7 - 270\/(-47). Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -7*q + 21. Let z = -24 - q. Calculate the lowest common multiple of 12 and (-2 + 1)*374\/z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 3*d**2 + d + 4. Let c be i(2). Suppose 4*v = -q - q + 102, 0 = -c*q + v + 92. Calculate the remainder when q is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -595788014 and 0?\nAnswer: 595788014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 7 + 159*u + 9 - 27*u**3 + 102*u**2 + 9 + 16 - 11 = 0?\nAnswer: -1, -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032*0.01\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 22*n**2 + 21*n - 9. Does 62 divide r(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9961218851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 0*k + 5 - 2 + k + 4. Determine b(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.027 + -1.477. Let i = 1.4 + p. Which is the nearest to 0? (a) -0.3 (b) 4\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*r = -6*p + 2, 0 = -3*r - 6. Let v be 2*(-4 + p + 2). Solve -7 = v*s + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1180827 - 27842*m - 1180827 to w + v*m and give v.\nAnswer: -27842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242 - 321023221?\nAnswer: -321024013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = t - 2196, i + 2*i + 1666 = -4*t. List the prime factors of (i\/(-8) - -5)*1*4.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 21*g - 18*g. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 553 and 22831.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -812, -1919, -3738, -6245, -9416, -13227, -17654?\n\"Answer: 4*g**3 - 380*g**2 + 5*g - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*-5*-4*sqrt(104))\/((sqrt(240)\/(sqrt(5)*3))\/(sqrt(72)\/(sqrt(60)\/sqrt(5)))).\nAnswer: -900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (0 - -1)) + 1 - (-379 - -377).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 8337*s - 33347\/4.\nAnswer: -(s - 33347)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 26*v - 9*v. Suppose -5 = 2*b + 3. Let p be 1\/(b + 3 + v). What is the closest to p in 2\/7, 3\/4, -10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1682693018 to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 232547 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.25 - 107967.\nAnswer: -107975.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171086 is divided by 3109.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115491 divided by 3.\nAnswer: 38497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126)\/sqrt(2))\/sqrt(9) - sqrt(7) - sqrt(7) - sqrt(7) - (sqrt(21)\/(sqrt(15)\/sqrt(5)) + sqrt(7))) + 1)**2.\nAnswer: -8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (1 + 2) - -6. Let j be (-1)\/1 - k\/(-2). Let r = -134 - -135. What is the highest common factor of j and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.2, -29?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m + 48*m + 5 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 1, x: 1, q: 3, p: 2, r: 4}. What is prob of picking 1 u and 1 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 49 (b) -0.2 (c) -0.4 (d) 2.39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25\/406 or -269?\nAnswer: -25\/406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022417.9 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -347*n + 64671. What is o(170)?\nAnswer: 5681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12209\/36573 + 6\/12191. What is the third smallest value in 0.5, -3\/2, -0.5, -1\/498, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7641 - -7646. Solve -5*p + k*v + 6 = 1, -5 = 3*p - 5*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -83? (a) -0.1 (b) 46.5 (c) 4 (d) 41\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 55. Calculate the least common multiple of 22 and y.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27389829 or -27389827?\nAnswer: -27389829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/((-32)\/(-2)))\/(4\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1763470 to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 - -0.23.\nAnswer: -47.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34289 is divided by 203.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 4*o + 488*o**2 - 2*o - 480*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 30*c**2 - 63*c + 60. Let a be n(-32). What is the greatest common factor of 224 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011110211121 (base 3) to base 10\nAnswer: -1682413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3 = -h, t = -0*t - 2*h + 3. Let m be 4\/6 + 68\/t. Let f = -13 - m. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 544637 + 578563 = 0. Suppose -5*z - 22201 - 94799 = 5*o, v = -4*z + 5*o. Round z to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2 (c) -1 (d) -3.3 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 6*l**2 + l - 7. Let z = 9 + -3. Let q be g(z). Which is smaller: q or -3\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 8614404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -779428119*t**2 - 54975024*t wrt t?\nAnswer: -1558856238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -1 (c) -1\/3 (d) 0.01 (e) -4 (f) -56 (g) 174\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4893 is divided by 136?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 76147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*y**2 + 0*y + 6*y**2 + y + (1 + 1 - 6)*(-23*y**2 + 12*y**2 - 26*y**2).\nAnswer: 144*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 593, 668, 751, 848, 965, 1108?\n\"Answer: n**3 - 2*n**2 + 74*n + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3298 + -2305. Suppose -2*b + t = 357. What are the prime factors of b?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*i**2*k - i**2 + i*k**3 + 1098596*k*u + 1412940*u - 4 with respect to k.\nAnswer: 7*i**2 + 3*i*k**2 + 1098596*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3517*v - 3543*v = -4134. Solve 159 = 4*a + v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167067*347.\nAnswer: 57972249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*r**5 + 6320*r**4 - 481647*r**3 - 366221*r**2 + 114083*r - 7599 = 0. What is r?\nAnswer: -149, -1, 1\/8, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**5\/100 - w**4\/12 - w**3\/10 + 9*w**2\/10 + 43*w - 12. Let q(a) be the first derivative of f(a). Factor q(z).\nAnswer: -(z - 1)*(z + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-1*6)\/(5*sqrt(384)) - 1*(-4*(sqrt(1573) + 3*sqrt(1573) + 1))**2.\nAnswer: -402704 - 28163*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.001 + -0.001. Let i = 0.156999 + 0.343001. Which is the closest to -1? (a) i (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-4) - 3772\/3381*7?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 970 by -80.\nAnswer: -97\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0 - (-8 + 10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67*q - 30 - 34 + 65 + (0 + 3 - 1)*(-6*q + 4*q + 4*q) - 7*q + 2*q + 3*q.\nAnswer: -65*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(3366\/(-25920) - (-4)\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/(-14))\/1*-7. Suppose m + j = -5*b, 4*m + 3*b - 7 = -4. Suppose 0 = z + d - 150, 4*z = m*z + 2*d + 165. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 205, 849, 1905, 3361, 5205?\n\"Answer: -2*i**3 + 218*i**2 + 4*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 2 (c) 2\/13 (d) 2\/65 (e) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w - 148*w - 383*w - 964 = 418*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*h**3*j**4 - 4325*h**3 - 185*h*j**4 wrt j?\nAnswer: 56*h**3*j**3 - 740*h*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11499852 to the power of 1\/2, to the nearest integer?\nAnswer: 3391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 311480300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 403500000 = 14*d. Round d to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4145085 rounded to the nearest one hundred thousand?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 72.98924 weeks?\nAnswer: 44143892352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10121 - -13?\nAnswer: 10134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 70*t + 515. Determine w(-14).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/189270340 and -11\/980.\nAnswer: 189270340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4434, 8869, 13302, 17733, 22162, 26589?\nAnswer: 31014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l + 3. Let q(c) = -c**2 - 6*c + 7. Let n be q(l). Find the second derivative of 2*f + 2*f - n*f**3 + 15*f**3 wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4342308.\nAnswer: 2, 3, 23, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14304?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -760 divided by -190\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2332 + 5 + 2*2\/2. Let s be ((-4)\/5)\/(62\/y). Suppose 5*v - 101 = -3*c, -3*c - s = -4*v + 67. Calculate the smallest common multiple of 24 and v.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1165, 2341, 3517, 4693, 5869?\n\"Answer: 1176*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7209 + -2*1 + -30 + 26. Factor -m*j - 833*j**2 + 18*j**3 - 117649 - 19*j**3 + 686*j**2.\nAnswer: -(j + 49)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 71496. Let v(u) = -23*u. Determine v(l(j)).\nAnswer: 23*j - 1644408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 3*y - y**3 + (-2*y + y**2 + 2*y)*(-1 + 4*y + 1).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2499 divided by 18.\nAnswer: 833\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-5\/4)*w)\/w)\/(w*w*w\/(w*(w*w\/(w*w**(-8)))\/w)*w))\/(w**1*w\/(w**8\/w)) assuming w is positive.\nAnswer: w**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9. Let y(c) = 0*c + 2 - 4 + 4*c + f. Give y(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318435919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 355 = 5*v + 3*f, -v = -2*f - 80. Suppose 5*r - 394 = 2*j, -v = -r + j + 10. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yloe when four letters picked without replacement from {o: 4, e: 1, l: 4, r: 7, y: 2, m: 1}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 + -97. Suppose -d*q + 18 = -2. What is the remainder when 67 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p*p\/p**(2\/15)*p)\/p))\/(p**(-8\/3)\/p))\/(p\/(((p*(p\/p**(-17\/3))\/p)\/p*p)\/p))**(-17) assuming p is positive.\nAnswer: p**(-1163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/70)\/(33\/(-594)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 74*m - 753. Let u be f(10). Calculate the highest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 66*w**3 + 6*w**2 - 7. Let u(p) = -p**3 - p**2 + 1. Calculate -s(y) - 6*u(y).\nAnswer: -60*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/13 - 20*n**2\/13 - 54*n\/13 - 36\/13.\nAnswer: -2*(n + 1)*(n + 3)*(n + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4840.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -r - 4*r - 3*o, -r - 5*o + 1 = 0. Let i be 12\/7 - (-4)\/14. Suppose -i*c + 5 + r = 0. What is the highest common divisor of 32 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4906 and 4014.\nAnswer: 44154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**2 - 18. Let x(v) = -v**2 - 1. Suppose 16*s - 198 = 378. What is s*x(f) - 2*t(f)?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 71. Solve 0*y - j = -x*y - 5, -3*y - 6 = -j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.87 + 75918.\nAnswer: 75915.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47562.25t in kilograms?\nAnswer: 47562250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 - 2*w. Let f(z) = -9*z**2 + 2*z - 1. Let a(j) = -3*f(j) - 2*m(j). Let i(b) = -b**2 + b - 1. Determine a(d) + 2*i(d).\nAnswer: 11*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -16*y. Let x(i) = -10*i. Give x(o(f)).\nAnswer: 160*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**6\/160 - t**5\/40 - 3*t**4\/32 + 23*t**2\/2 + 20*t. Let q(n) be the first derivative of d(n). Factor q(s).\nAnswer: 3*s*(s - 3)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 17*l + 126. Does 6 divide t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 505*h + 3088 - 58 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 0*s**2 - 9484*s - 1 + 81522*s.\nAnswer: -4*s**2 + 72038*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363 and 429.\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y + 1. Let b(q) = -11*q - 11. Let z = 348 - 346. Let x(g) = z*d(g) + b(g). Calculate x(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 54 = 8*f - 3*f, 4*f + 32 = -2*q. Let d be (-4)\/(-20) - 188\/f. What is the highest common divisor of 76 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-526)\/11835 + 1124372\/45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0\/(-5))\/1)\/2. Suppose 0 = o - 1 - u, w + 2*o - 13 = 0. Suppose 0 = w*j - 3*j + j. Solve j = 4*v - 2*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 690 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 78*i**2 + 73*i - 82. Determine n(-38).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 157464?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b654 (base 14) in base 12?\nAnswer: -70a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 203576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2098343?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10079520.\nAnswer: 2, 3, 5, 11, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 2*d**2 + 2*d + 1. Let m be y(-1). Suppose -3*n = m - 8. Suppose 0 = n*g - 4*g + 178. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:20 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 48.325 and 3.\nAnswer: 51.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m + 0*m + (0*m + 0*m + m)*(6 - 1 - 3) + 0*m + m + 0*m)*(0*m**4 + 4*m**4 - 5*m**4).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -54.9. Let v = -30.987 - -31. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 - t - 3. Let z = -2933 + 2930. Let y(l) = -l**3 - l**2 + l + 1. Calculate z*y(h) - f(h).\nAnswer: -h**3 + 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11089455 is divided by 20017.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-594)\/4 - 1\/(-2). Let l = k - -256. Suppose -2*t + l = -0*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2489 + 2488.5. What is the fourth biggest value in t, 4, -3, 2\/5, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1786 rounded to the nearest 10?\nAnswer: -1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 - 3*u**5 - u**5 + (-218*u + 218*u + 11*u**3)*(0*u**2 + 197 - 199 + 10*u**2).\nAnswer: 106*u**5 - 22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/574? (a) -1 (b) 0.3 (c) -0.5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 415.6 + -413.621. What is o rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -1. Let g = q + 9. Let f = g - -41. Sort f, -5, 0.5.\nAnswer: -5, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 1162899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:49 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627.1126cm to nanometers.\nAnswer: 6271126000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 1. Let j be t(0). Let d = 4 + j. Solve -3 = -2*k + 4*x - 5*x, 0 = 4*k + 5*x + d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5847*b**3 + 6*b**2 - 157*b - 1.\nAnswer: 35082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743.7 rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (1 - (-96)\/(-18)) + 2. Which is the second biggest value? (a) j (b) -2\/13 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-792)\/32)\/(-33))\/(3\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -18759 and -0.087705.\nAnswer: -18759.087705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 251+-16.502\nAnswer: 234.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*t + 144 = 4*z, 3*z - 96 = 3*t. Suppose z = 5*r + 10. Factor -r*a**2 - 2*a + 26 - 22 - 3*a**3 + 5*a**3.\nAnswer: 2*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1324908.9s?\nAnswer: 2.19065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8271154 is divided by 1472.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 75*j - 138. Let d be s(8). Let z = d - 170. Is z a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*z**2 - 37*z**2 + 39*z**2)*(35 + 15 - 19).\nAnswer: 1612*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:35 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 24.59 and -168064494.7.\nAnswer: -168064470.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5213874347.\nAnswer: 11, 17, 23, 41, 29567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3722, -13237, -22752?\n\"Answer: -9515*r + 5793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2. Let o(i) be the second derivative of 1\/6*i**4 + 0*i**2 + 0*i**3 + 0 + 4*i. Determine o(p(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221841*k + 443687*k - 221843*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - x**2 - x - 1. Let t be g(-1). Solve -c + 5*d - 3 - 26 = 0, 5*c + 5*d - 5 = t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23478 + -11879. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1090889 (base 11) to base 4\nAnswer: 13100330023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c - 14 = -99 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 13 - m + 19.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59538238 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 722\/2381263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -7\/1391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 - l - 51. What are the prime factors of i(20)?\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 8*k + 32. Let h be 3 - 78\/(17 + -11). What is j(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from cffffcjx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 20*u + 14. Let n(w) = -w**2 - 8*w - 9. Let p be n(-5). Suppose 0 = p*z + 5*z - 132. What is the units digit of m(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 230 + -248.3. Let d = m + 18.061. Round d to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3 - 10*p**3 + 4 - 11*p**3 - p**2. Let y be c(-1). Let q = 5 + y. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*t + 519*t - 3*c = -109, -821 = -4*t - 23*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3469 is divided by 396?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*k*o**2 - 50*a*k*o - a*o**2 - 2*k*o**2 + 11*k*o + 8*o**2 wrt a.\nAnswer: 2*k*o**2 - 50*k*o - o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21203, 42404, 63605, 84806?\n\"Answer: 21201*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -196.9999921 - -197. What is l rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/30 - (20605\/75)\/(-13). Suppose -5*x + 9 = -f. What is the least common multiple of 17 and x?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 346823 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, b: 4}. What is prob of sequence bb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -0.3. Let w = -14 + 12. What is the closest to w in -1\/4, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38657?\nAnswer: 29, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 278684027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -11*h + 24. Let l(d) = -5*d - 52. Calculate the remainder when z(-7) is divided by l(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcbbzzz. What is prob of sequence zc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/7 (b) 127 (c) -5\/4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 20*y - 44 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 35 = 5*n, n = q - 3*q - 5. Let f = -5 + 7. Solve -t = x + n*t, -x + f = 2*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 6 = -m, 2*h = 4*m - 4. Do -15\/8 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*t**5 + 978*t - 5.\nAnswer: 280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2 - 6*j - 4*j + 1 + 4*j + 5*j**2. Let c be o(4). Suppose 4*p = -t + 3*t + 72, -3*p - t + c = 0. Calculate the greatest common divisor of 76 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 568 + 1081. Is 8\/52 - g\/(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -137629, 18, 2, 46 in descending order.\nAnswer: 46, 18, 2, -137629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * 0.4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -162*a - 587.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92.78 - 89.78. What is the fourth biggest value in -69, 0.031, s, 5\/4?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 6, 5*i + 6 + 0 = -2*d. Solve p = -n - 8, 5 = -i*n - 5*n + 2*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 458 + (4 - 2). Suppose w - 2*v + 186 = -68, w + v + 248 = 0. Let d = w + c. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82153.27 litres?\nAnswer: 82153270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 - 4*a**5 + 2*a**5 + (-1 - 1 + 1)*(3*a**4 + 2*a**5 - 3*a**4) - 15587*a**5 - 25*a**3 + 26*a**3 + 15582*a**5 + 42 - a**4.\nAnswer: -8*a**5 - a**4 + a**3 + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r + 16. Is t(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 23. Let k be w(21). Let a be (1\/k)\/((-57)\/(-266)). Which is smaller: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - t - 8 + 26, t - 39 = -5*r. Suppose -83*x + 402 + 359 - 678 = 0. Solve 4*v - r = -3*q, 3*v + x = q - 2*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921570655.\nAnswer: 5, 37, 2213, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.1 (b) 21\/5 (c) 0.0539\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from moowa. What is prob of sequence amow?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 774 divide 22262562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 1:34 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -3 - (-4 - 0). Suppose a*d = 21 - 1. Solve -3*y - d = 2*m, 5*y - 4*m + 15 = -30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 4*s**4 - s)*(8 - 6 + 7) + (-s**2 + s**2 - 2*s**2)*(-1 + 1 + 2*s**2) to the form d*s**3 + o + p*s + r*s**4 + k*s**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-2)\/(-4)*(-1)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let q be (0 - (d - 1)) + 331. Suppose 0*u + 3*u = q. Is 22 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from bbbbkbvmxkbmbbbbbb.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -115035000 rounded to the nearest one million?\nAnswer: -115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -z + 2*a, 3*a - 6 = 9. Solve 15*p - 35 = -z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5 + (sqrt(1008) + 2)**2 - (sqrt(1008) + (sqrt(1008) + sqrt(1008) + -1)**2)*-2) + -4).\nAnswer: -9069 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -766, -2537, -6288, -12997, -23642, -39201, -60652, -88973?\nAnswer: -125142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16782.\nAnswer: 2, 3, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 11 = -5*q. Suppose -q*m - 5*m = -3*m. Suppose -4*i + 3*f = 2*f - 11, m = 2*f - 2. Put -3, 1, i, 6 in descending order.\nAnswer: 6, i, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*i + 29*i + 44*i + 531 - 109*i as z*i + u and give u.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/21605483 or 1?\nAnswer: 2\/21605483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5228980 or -1?\nAnswer: 1\/5228980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -13*g**2. Let q(v) = -1437*v**2. Determine p(q(w)).\nAnswer: -26844597*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-35))\/(15\/45)*17\/3.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-3 + -8) - -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172432 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 4\/5, 41, 7, 8\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5104823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 10 - 11) + (125 - 45).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 3*c + 6. Let j be f(-5). Let q be (j - 0) + 0 - -9. Let u(l) be the second derivative of -l**4\/12 + 5*l**3\/6 + 5*l**2\/2 - l. What is u(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 9, 11, 13?\n\"Answer: 2*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-498.2.\nAnswer: -249.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(3300))\/(sqrt(1584) + 4*sqrt(1584)) + -5.\nAnswer: -5 - 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3, 287, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -104*n - 8825. Determine u(-85).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 59900.6 and 6.\nAnswer: 59906.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 10*s**2 + 7*s - 8. Let k be q(-9). Let p = 12 - k. Solve -2*j + 6 = p*u, -j + 5 = 4*j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*t**4)*((-2 + 3 - 6)*(2 - 1 - 3) + (6 - 3 - 1)*(0 - 2 + 4)).\nAnswer: 42*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*(g\/(g\/(g*g**(-5))))\/g))**6\/(g**(-1\/2)\/g**(1\/6)))**(1\/5))**(-1\/24) assuming g is positive.\nAnswer: g**(-23\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 - 4) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j**2 - 3*j**2 + 4 - 4*j - 5*j**2. Let h = 14 - 9. Let n = 9 - h. Give a(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 574*l**2 - 1232*l**2 - 1260*l**2 - 605*l**2 + 281*l**2 to the form q*l + f + r*l**2 and give r.\nAnswer: -2242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 187\/4 + 120\/(-160)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) - (-14)\/4. Let a(x) = x**2 - x - 4. Let d be a(4). Differentiate 1 + 2*h**4 + 8*h**g - d*h**3 with respect to h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39894 and 2196?\nAnswer: 239364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + -8 + 0 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.4 - 12. What is the nearest to 0 in -5, m, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1466.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3816, -6418, -7882, -8214, -7420, -5506?\n\"Answer: -n**3 + 575*n**2 - 4320*n - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166623863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s + 18. Let r(l) be the first derivative of l**4\/4 + 2*l**3 + 3*l - 3. Let b be r(s). Solve -b + 12 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 4*x + 1 + 2*x)*(17*x**2 - 4*x + x - 23*x**2).\nAnswer: 18*x**3 + 3*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.8255 + 0.1445. What is m rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-8))\/1*-20. Let f be 30\/(-12)*8\/(-5). Sort f, -35, m in descending order.\nAnswer: m, f, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2998619 rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 935 and 33869.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 13*v + 1676. Suppose 6*g - 2*g = -3*g. List the prime factors of z(g).\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -0.4165800016?\nAnswer: 0.2165800016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 464 (base 8) to base 2\nAnswer: 100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/7300 and -81\/2920?\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**3 + w - 2. Let y be g(1). Let u = 1 + -3. Sort 3, u, y.\nAnswer: y, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/2 or -1530?\nAnswer: -1530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/4, 5, 1\/50?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*3\/2*2\/9\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, h: 2, j: 10, g: 1, v: 3}. What is prob of sequence gjxh?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 21*m**2 + 36*m - 14. Let b be f(-2). Sort b, -109, 2\/13.\nAnswer: -109, b, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -10964346.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 89*q - 741. What are the prime factors of b(54)?\nAnswer: 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149858411?\nAnswer: 149858411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rroernocooerre. What is prob of picking 2 e?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69375608.\nAnswer: 2, 41, 257, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from jgwgzsjgffj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 798667.057 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 18*c**3 - 2*c**2 - 7*c - 5. Determine l(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 7:40 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*q - 46704, 603*t + q = 600*t + 28020. Does 151 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 3628256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 - 82*f**2 - 31*f - 95. Give z(-27).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151880 is divided by 362.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 113 + 3 = -4*y, -q = -3*y + 76. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 101*s - 42. What are the prime factors of p(21)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 29 (b) -0.2 (c) 1 (d) -714 (e) 1\/4 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3853*-0.03678.\nAnswer: 141.71334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 2*a**2 + 28*a - 5. Let r be s(-4). Let x = 218 + r. Solve -17 = 4*c - x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69374.6 - 69374. Let k = -3 - 8. Let l = k - -7. Which is the fourth biggest value? (a) 4 (b) l (c) -0.2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5581037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.74 - -3.44. Which is the closest to 1? (a) v (b) 12 (c) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018120072 to seven dps.\nAnswer: -0.0001812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*m - 22, 2*i + 2*i - 4*m - 24 = 0. Is 14\/(3\/(276\/i)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -57*z + 58*z - 29931, 0 = -2*z + c + 59868. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29 - 377*k**3 - 380*k**3 + 10*k**2 - 380*k**3 + 95*k**4 + 1134*k**3 wrt k.\nAnswer: 2280*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13556651?\nAnswer: 13556651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 992444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/(-6) + -3)*20\/6. Solve -v*d + 21 = 2*k, 4 = d + k + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*g + 6444, g = -4*g + o + 6432. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**7\/210 - u**6\/120 - u**4\/8 + 5*u**3\/6 + 62*u**2. Find the second derivative of g(w) wrt w.\nAnswer: 12*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h + 132. Calculate the highest common factor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8863130.\nAnswer: 2, 5, 886313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + k - 2*q - 3, -5*k + 6 = 3*q. Suppose -k*f + 20 = 2*f. Suppose -g = v + 4*v - 92, f*v + 47 = g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvbhiw. What is prob of picking 1 v and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4748*m - 17248?\nAnswer: -4748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 3*a**2 - 5*a + 3. What is k(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -41. Suppose 0 = a*y - 23 - 19. What is the remainder when 81 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.35363 + 0.04887. Round v to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-4)*12\/(-10)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdai when four letters picked without replacement from {q: 2, a: 1, d: 5, i: 1, b: 3}?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.0657, 1\/3.\nAnswer: -3, -0.0657, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*2*(-11)\/(-4). Suppose 0 = 2*f + 4 + 106. Let p = s - f. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -18*n**3 - 2*n**2 - 3. Let f(b) = -19*b**3 - 3*b**2 - 4. Calculate 2*f(w) - 3*p(w).\nAnswer: 16*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -25591*h. Let n(z) = -223*z - 2. Calculate n(u(v)).\nAnswer: 5706793*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867*n - 6195 = 18948 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32\/18820583 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2663, 3 in decreasing order.\nAnswer: 8, 3, -2663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 101107 (base 12) in base 5?\nAnswer: 31010321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k - 60. Suppose -3*c + k = -c. Calculate the smallest common multiple of 2 and ((c\/(-3))\/2)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9*2907.\nAnswer: -5523.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*q**3 - 8*q - q**2 - 2*q**4 - 11*q + 15*q to the form j*q**4 + h*q + z + f*q**2 + k*q**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111639.\nAnswer: 3, 11, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 3\/(38655\/(-234728)). Let t = l + 72\/859. Let v = -95\/6 - t. Find the common denominator of v and -51\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + -2. Let y = j + 16. Calculate the smallest common multiple of 4 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5014*b = -6564*b - 136400 for b.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 31 - 8 - s**2 as y*s + r + n*s**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 10 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c. Let n(w) = 27*w**2 - 1. What is n(i(l))?\nAnswer: 243*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 152 = -232. Suppose t*k - 4626 = 23*k. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -8.208?\nAnswer: 8.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*j**2*l**3*u - 9*j**2*l**2*u - 5*j**2*l**2 + 3535*l**4*u + 167*l*u wrt l?\nAnswer: 48*j**2*u + 84840*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**0)**(-15\/2))**(25\/7))**(-6\/17) assuming f is positive.\nAnswer: f**(1125\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22444.83265 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 24391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3629 and 1691.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20727 = 3595*v - 3588*v. Calculate the least common multiple of 423 and v.\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -330016.648 to the nearest 1000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/9 + 7654492*r\/3 - 7323905972258 = 0?\nAnswer: 5740869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201314?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -5*t - 2*o + 6, o + 16 = t. Suppose -5*n = -4*x + t, -3*x - 5*n - 10 = 10. Solve x = 2*m + 2*m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -1\/9 (b) -5\/4 (c) -1 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-11) + 136\/22. Suppose p - 3*p = -s. Let h be (-2)\/p + (-154)\/(-6). Calculate the highest common divisor of 100 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*q + 123*q + 0*q - 588 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1338931170 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 12a5?\nAnswer: 12aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 0.1, -0.44, 0.4, 2\/9.\nAnswer: -42, -0.44, 0.1, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 12*w**3 + 3*w**2 - 2*w - 4. Is x(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyq when three letters picked without replacement from {v: 2, q: 3, y: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*c + 2*w, -16*c + 11*c - 3*w + 66 = 0. Let v(b) be the first derivative of b**2 - 14*b + 1. Does 2 divide v(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2263881*f**4 - f**3*t + 2*f**2*t - f**2 + 133*f*t + 7504*t wrt f.\nAnswer: 54333144*f - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:50 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j. Suppose 0*n - 2*n - 5*o + 45 = 0, 0 = n - 5*o - 15. Let c(z) = -5*z - 20. Let k(f) = -1. Let w(d) = n*k(d) - c(d). Give w(r(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-3)\/12*-61354. Let d = k + -15020. Let q = -311 + d. What is the common denominator of 51\/20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -85, 1.04, 1\/5, -0.4 in decreasing order.\nAnswer: 2, 1.04, 1\/5, -0.4, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - ((-75)\/(-27) + (-15)\/5). Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a**2 - 40*a + 15. Let j(x) = -66*x**2 - 201*x + 79. Let l(h) = 2*j(h) - 11*o(h). Is l(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56393\/4 or 14098?\nAnswer: 14098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39765, -79764, -119763, -159762?\nAnswer: -199761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2332 - -2331. Which is smaller: c or 132?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13046042 - 30?\nAnswer: 13046012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 n, and 2 t when four letters picked without replacement from {n: 4, v: 2, t: 7}.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3525 and 168730.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-1)\/(-1) + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 207803, 415604, 623405, 831206, 1039007, 1246808?\n\"Answer: 207801*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 + 3 + s + 3 - 5*s**3 - 4 in the form a*s**2 + i*s + t*s**3 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 - 8*v + 8*v**2 + v. Let g(l) = 6*l**2 - 8*l. Let f(s) = -4*g(s) + 5*q(s). Suppose -x + 2 = -1. Determine f(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 517630 divided by -5\nAnswer: -103526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 4, o: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3316 divided by 4?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g - 28 = 0. Let w(o) = -2*o - 1. Let r be w(g). Suppose 2*s + 5*h - 490 + r = 0, 0 = -2*h - 10. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -231 - -405. Let c = 177 - m. Let n = 1 + -1. Put 2\/3, n, -3\/5, c in descending order.\nAnswer: c, 2\/3, n, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011001011 + 10111001?\nAnswer: 11110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005276952 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -1\/10*y**2 - 1\/30*y**3 - 7 + 1\/100*y**5 + 1\/60*y**4 + 4*y. Let r(u) be the first derivative of j(u). Factor r(t).\nAnswer: (t - 1)*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*n + 4*z + 3, -2*n + z = -11. Solve m = 5*w + 14, n*w + 3 = 3*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399, -776, -1175, -1608, -2087, -2624, -3231?\nAnswer: -3920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306378*k + 32503 - 32503.\nAnswer: 306378*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, c: 5, v: 1, d: 6}. What is prob of sequence cv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 417805, 835611, 1253417, 1671223, 2089029, 2506835?\n\"Answer: 417806*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 8\/15*l**6 - 16*l**2 + 0 - 19\/60*l**5 + 2*l + 0*l**4 + 1\/2*l**3. Find the third derivative of p(b) wrt b.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*210\/(-56))\/((-3)\/(-20)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1036 divided by -20599\nAnswer: 1036\/20599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/((-7938)\/168)*((-1)\/1)\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 6)\/(5 + (-33)\/9).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 0*y**2 - 134*y + 0 + 0*y**3 + 1\/12*y**4. Let g(h) = 29*h**2. What is c(g(b))?\nAnswer: 841*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 - 67. Find the second derivative of -8*y + 4*y + 26*y**2 + 4*y**d + 36*y wrt y.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -550735.\nAnswer: -4\/550735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 6, -4, -5, 3, -384 in decreasing order.\nAnswer: 10, 6, 3, -3, -4, -5, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26561\/4 at least as big as 6641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 - 3 = 0. Suppose -29 = -x*s + 7. What is the common denominator of -1 - (238\/20 + -1) and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9532 divided by -4.\nAnswer: 2383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 + 3*s**2 + 0*s**2 - 2*s**2 - 2*s**2 + 3*s**2 - 2*s**2 - 2*s**2 + 3*s**2 + (0*s + s - 3*s)*(-s - s + 0*s) + 3 + 2*s**2 - 3.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, -260, -9, 2, 1 in ascending order.\nAnswer: -260, -70, -9, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 961 (base 12) to base 2.\nAnswer: 10101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 - 2) - 0 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 342 + -341. Let z = -358.1 - -358. What is the nearest to -1 in z, -2, b, 19?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plqkppqqslqslsqqpz. What is prob of picking 2 l and 1 q?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/7)*j)\/(j*j**9\/j*j)*(j\/(j\/(j*j**1)))**(1\/23) assuming j is positive.\nAnswer: j**(-1228\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31486, 4, 0.2, 216\/5.\nAnswer: -31486, 0.2, 4, 216\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - (12 - (-3 + (2 - (-4 - (3 + -5))))).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 1279.600543345.\nAnswer: 1277.600543345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(126)*-6 - sqrt(126) - sqrt(126)))\/(-3*sqrt(6)\/sqrt(3) + (sqrt(48)\/sqrt(4))\/sqrt(6)).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4351 less than -4343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1584 and 10162.\nAnswer: -16096608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.036 - 0.06. Let v = s + 7.424. Round v to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + l + 7. Let k be r(-6). Let b = -17 - k. Suppose o - u = -3*u + 8, -8 = -4*u. What is the smallest common multiple of o and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166009691\/3 < 1055336564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**6*x - 3*a**3*x - 155*a**3 - 126*a**2*x - 2*x + 1 wrt a?\nAnswer: -240*a**3*x - 18*x - 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/36*(2 - 0). Let u be -4 + 14 + c + -5. Calculate the common denominator of 90\/40*4\/u and 21\/38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 2)*(3 - 3 + 1) - 4 + 24 + 0)*(-2*m**2 + 4*m**5 + 2*m**2).\nAnswer: 88*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 2, r: 3, o: 4, j: 3, n: 6}. What is prob of picking 1 i and 2 w?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544816883?\nAnswer: 13, 41908991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 = 2*r. Let i(t) = r*t + 0*t + 0 + 6. Suppose -4 = 3*a - 25. Let y(q) = -2*q - 4. What is a*y(p) + 5*i(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4041.1 + 4041. Is r at most as big as -70\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1595*k = -5*m + 1591*k + 16, 5*k - 20 = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/7)*q*q**(-3\/4))**(-2\/39)*(q**5\/q**4)\/(q**1*q**2\/q) assuming q is positive.\nAnswer: q**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/((-6)\/27).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k - 28. Let g(p) be the third derivative of -p**6\/120 - 2*p**5\/15 - 3*p**4\/8 - 5*p**3\/3 + 2*p**2. What is the units digit of g(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 22*x - 40*x + 25*x + 0 to h*x + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -498607, -498601, -498595, -498589, -498583, -498577?\n\"Answer: 6*p - 498613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 4, 0.2, -0.03?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 306*i = -301*i, 9 = 3*i + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 215*j - 272*j - 269*j in the form r + d*j and give d.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -491*a**4\/4 + 10*a**3\/3 + 7*a**2 - 759. What is the third derivative of s(h) wrt h?\nAnswer: -2946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 30*r**2 + 8*r - 2. Let n(o) = -94*o**2 - 26*o + 7. What is -7*d(z) - 2*n(z)?\nAnswer: -22*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 5*n**2 + 178*n - 1044. What is t(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/11, 6.7, -0.1, -3, -2\/11, -0.139?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5794944.\nAnswer: 2, 3, 15091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -37. Suppose g*f - 1309 = -5*z - 0*f, z = 5*f + 251. Let y = z - 793\/3. Find the common denominator of y and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 108 = 5*j + 4*k, -3 = -3*k. Suppose 3*x + 2*z = 89, -x + 8 = z - j. Let r = -2383 + 2414. Calculate the greatest common divisor of r and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*j + 13. Suppose d + 2*d = j. Calculate the remainder when 6 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -3*a, 30*u = 27*u + 18*a - 42 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 154 = -5*l + 188, -3*j + 268 = -2*l. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5112633711.\nAnswer: 3, 53, 1193, 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 39. Let c be i(14). Let d be c + -13 + 16\/5. What is the fourth biggest value in 0.4, d, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57.542125*-0.2\nAnswer: -11.508425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(5 - (1 - 1)). Let h(j) = 32*j**2 - 53*j + 18. Let n(v) = 16*v**2 - 26*v + 9. Let l(i) = r*n(i) + 4*h(i). Find p, given that l(p) = 0.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(432) + -2 + -3 + sqrt(432)) + 2*(-2 + sqrt(432)) + 3 + 3.\nAnswer: -120*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2*w + 7 = 5*w + 1 - 9, -4*f - f + 3*w - 19 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 3:39 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -546000 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/(2\/(-6)). Let c = -319 - -3823\/12. Which is greater: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98496 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39452 and 22.\nAnswer: 433972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 3*g**2 - 5*g**2 - 3*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8269944.\nAnswer: 2, 3, 37, 67, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and -1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3296 by 195.\nAnswer: 3296\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5 + 3. Suppose a - 4*w = -2*w + 1, 4*a = 2*w + 10. Is 15 a factor of -4 - (-70 + a) - p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -23. What is the least common multiple of b and 27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -492 (c) -2\/11 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/(j**1\/j)*j))**31)**(-41))**(24\/5) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011179 to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -492*b*m**5 - 2*b*m - 4*b - 2*m**4 - 85*m**3 + 3*m + 1790 wrt m.\nAnswer: -9840*b*m**3 - 24*m**2 - 510*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**3 - 17*t**3 - 10*t**3 + 78*t**3 - 19*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 24*h**2 - h - 6 - 25*h**2 - 5*h. Let u be i(-6). Let f(v) = -2*v - 9. Let w be f(u). Are w and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t**2 - 3*t**3 + 28*t - 24*t + 6 - 4 + (-2*t + 2*t - 2*t**3)*(1 - 6 + 1) as c*t + v*t**3 + y*t**2 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1132695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127 and 1016.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106922451?\nAnswer: 37, 389, 76907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628126 - 628002 = -62*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1298.48 * -0.098.\nAnswer: 127.25104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12811 - -3.12811. What is the third smallest value in 416, 0.5, -1, u, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (129479\/1047)\/(49\/(-21))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 212 = -5*h + 2*h, -c = h - 96. What is the highest common divisor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 8) in base 10?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 45*g**3 + 40*g - 63. Is t(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11201000131 + 1?\nAnswer: -11201000130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 15. Let i be (0 + -6 + 5)*(-1 - -14). Let r be c(i). Sort r, 0, 4, 6 in descending order.\nAnswer: 6, 4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -2*n**2 - 1\/150*n**5 - 1\/60*n**4 + 0*n + 34 + 1\/300*n**6 + 1\/15*n**3. Solve p(s) = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 177 and 3.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8783 - 60?\nAnswer: 8723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84 - -122) + -39 + 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 3912 = -9*z. Round z to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 52, 57, 62, 67?\n\"Answer: 5*i + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -55982 at most as big as -7828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y**2. Let z(f) = -8*f**2 + f + 5. What is z(b(h))?\nAnswer: -512*h**4 + 8*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/4)\/((-55)\/220). Let m be (a - 5\/(-3)) + 780\/18. What is the greatest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60.3 - 60. Let l be (-1 + 5\/4)*2. Let u = -8.5 - -8. Which is the nearest to l? (a) 6 (b) i (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 13, 36, 21 in ascending order.\nAnswer: 9, 13, 21, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = 187 - 176. Which is greater: v or -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 73 - 73 + 12*s**5 + (s**2 - 2*s + 2*s)*(2*s**3 - 3*s**3 - s**3) + (0*s**3 + s**3 - 3*s**3)*(-2*s**2 - 3*s**2 + 4*s**2) - s**3 + s**5 + s**3.\nAnswer: 13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + 46. Let g = -1475.6529669 + 1411.652972. Let t = o + g. What is t rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 + 0*j**4 + 6*j**4 + (3*j**3 - 3*j**3 - j**4)*(2 + 1 - 1) + (j - 4*j + 2*j)*(62*j**3 - 11*j**3 + j**3) - 5*j**4 + 3*j**4 + 3*j**4.\nAnswer: -47*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**2*w + 1574*u**2 - 1701*u*w - 542*u - 67*w wrt w.\nAnswer: -u**2 - 1701*u - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*c**3 + 69 - 229*c**3 - 59.\nAnswer: -515*c**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*w**2 + w**3 - 11*w**2 - 5*w + w**4 + w.\nAnswer: w*(w - 2)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:58 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 3, u: 1}. What is prob of picking 1 z and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5 + 19774*p**4\/7 - 47938*p**3\/7 - 2854*p**2\/7 + 47952*p\/7 - 16920\/7 = 0 for p.\nAnswer: -1, 3\/7, 1, 2, 1410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 12*w - 12*w - 56*w - 22 = -83*w, -8 = -2*c - 3*w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 3:43 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9 + 14 - 2*q**3 - 9*q + q**5 - 1 wrt q?\nAnswer: 20*q**3 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/((-2106)\/12))\/((-1)\/((-9)\/6))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*a - 78*a + 220*a)*(5*a**2 - 3*a**2 + 2*a**2 + (2*a + a - 4*a)*(5*a - 5*a - a)).\nAnswer: 1025*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (-6300)\/5520*36?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1000 - 591. Suppose 5*d - p = -159. Let m = 74 - d. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178 (base 11) to base 9.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -77 (b) -0.4 (c) 0.05 (d) -1.5 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**4 - 324980*d + 320448*d - d**4 + 4476*d**3 wrt d.\nAnswer: -24*d**2 + 26856*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = -9 + 289. Let a(x) = x**2 + 16*x + 28. Let l be a(g). Let r be ((-16)\/(-6))\/((-2)\/(-6)). Solve l = -2*n + 6*n - r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -81, -0.2, -4, -6, -25, -2?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + (sqrt(48) - (-2 + sqrt(48))) + 1 - (sqrt(21)\/sqrt(112) + 1 + sqrt(3)*-2)))**2.\nAnswer: 35*sqrt(3)\/2 + 547\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -294*k**2 + 0*k + 214*k**2 + 217*k**2 + k**3 + k in the form p*k + g*k**3 + d + b*k**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -16. Let w(o) = o**2 - o - 4. Let i be w(-5). Let m = i - x. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1101 - -714. Which is greater: v or -385?\nAnswer: -385","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001065115 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121\/2 - 59. Let i(v) be the first derivative of 0*v - 1\/3*v**3 + 2 - s*v**2. Find the second derivative of i(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -18*g - 332. Calculate y(-32).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (-40 + 38) - 33) + 12 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*z + 301*z - 139*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 5. Let h be j(-4). Let d(p) = p**3 + p**3 + 2*p**2 + p**3 + 4*p**3 - h. Calculate d(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.95 in -13, 1\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 649 or 648?\nAnswer: 648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -474.6, -0.3, -5, 2, 3?\nAnswer: -474.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 0, -1, -4 in increasing order.\nAnswer: -76, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 72735*u. Let x(h) = -101*h. Calculate j(x(r)).\nAnswer: -7346235*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 25*j**2 - 59*j + 190. Let t be l(27). Solve 59*u + 12 = t*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2850405 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18473 and 6523985.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 54. Let u be 1\/(f\/(-27)*51\/(-34)). Solve 6*i = -u - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 + 7 + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 - -141.9. Is -2\/513 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, -25, -115, -4, 2 in descending order.\nAnswer: 74, 2, -4, -25, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -16947?\nAnswer: 16944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/512776487 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-3)\/6)*0. Let o(c) = 3*c - c + t*c - 4*c. Let y(k) be the second derivative of -2*k**3\/3 - k. Determine y(o(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4. Put -3, -4, l, 4 in ascending order.\nAnswer: -4, -3, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17348400 and 2304?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 6*s**2 + 8*s - 7. Let y be q(7). Let f be (-5)\/10*-2 + 61. Let d = -57 + f. Solve y = -4*l + d*l, 4*b - 8 = -3*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 238*v - 14161.\nAnswer: -(v + 119)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-21*1000\/(-875). What is the highest common factor of 216 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78230571.\nAnswer: 3, 83, 211, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 789473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/133 and 7\/57.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -73.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u**4 + 300*u**3 + 1155*u**2 + 1440*u + 324 = 0. Calculate u.\nAnswer: -9, -3, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -2. Let s(r) = 5*r - r**q - 7 + r + 0*r. Determine s(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = -0*b + 6*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 24, 48, 82, 126, 180, 244?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*t + 22, 14 = 3*r - 0*r - t. Solve r*m - 5 = -w, w - 2*w - 3 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864)*2 + sqrt(864))*-6)\/((sqrt(2) + sqrt(18))*1 - (sqrt(18)*1)\/sqrt(9)).\nAnswer: -72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620 > 1617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2 + 10896*p - 29680704 = 0.\nAnswer: 5448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1531072, 3062129, 4593180, 6124225, 7655264, 9186297?\n\"Answer: -3*y**2 + 1531066*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 20*g**2 - 6*g. Let v(a) = -5*a**3 + 39*a**2 - 12*a. What is 7*p(d) - 3*v(d)?\nAnswer: d**3 + 23*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/8 - ((-3)\/(-4) + -1). Let p = 790 + -790.5. Put 12, -3\/7, p, l in increasing order.\nAnswer: l, p, -3\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 64*a - 19. Let z be c(-21). Let u = z - 104. Is 65 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 590473, 1180662, 1770859, 2361070, 2951301?\nAnswer: 3541558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 4*b**2 - 7*b + 1. Let q be f(5). Let s be (-3 - -103) + 1 - 3. Let d = q + s. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30494 + -52594. Round f to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -242 + 125. Let s = -134074326.0000016 - -134074443. Let p = y + s. What is p rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10150\/47 + 216. Let i(y) = y + 5. Let x be i(-4). Are o and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21246348?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(50\/9980)*4.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2502 - 0?\nAnswer: -2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-210)\/45*174\/(-4). Let h(s) = s**3 - 21*s**2 - 46*s + 29. Let i be h(23). Calculate the greatest common factor of y and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 66) + (75 - 76)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*p**3*t + 34*p**3*z**2 + 20*p**2*t**2*z**2 + 2*p**2*t**2 - 2*p*t**2 + 2*t*z wrt z?\nAnswer: 68*p**3 + 40*p**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1365, -2\/3, -560, 4?\nAnswer: -1365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140747 (base 8) in base 5?\nAnswer: 3042024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -55, -18, 33, 98?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -262751 greater than -10772826\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**6\/2 - 18*u**5\/5 - 39*u**4\/4 - 12*u**3 - 6*u**2 + 1798. Suppose g(q) = 0. What is q?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 19.6. Round q to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2845\/(-3) - 1\/(-3). Let f = 5707\/6 + o. Find the common denominator of f and ((138\/(-54))\/1)\/((-4)\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-54)\/(-16))\/1)\/(106\/(9540\/(-135))).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from ppdwppppdpeepdpw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -2. Let u be 8\/(-12)*9\/x. Let a be 80\/12*(-8 + (-70)\/(-8)). Solve u*s = -3*f + 15, 2 = a*f + s - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 79*t**2 + 91*t - 3. Let d(p) = -p**2 - 1. Suppose 26*i - 35*i - 27 = 0. Let w(k) = i*d(k) + o(k). What is the second derivative of w(u) wrt u?\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:56 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 76. Suppose 5*c = -m + 21, -4*m - y = -c - m. Solve c = -3*w - w - a, 5 = -a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 - 775*g + 4804. Let s(k) = -2*k**2 - 517*k + 3203. Let o(d) = 5*q(d) - 7*s(d). Differentiate o(z) wrt z.\nAnswer: -2*z - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(3) + 0)*3)**2*2 + -3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/1 - (0 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -22. What is the units digit of (6\/h)\/((-10)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/12 - 7 - (-58775)\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 1776*p**3 + 6*p**4 + 0 + 2*p**2 - 1778*p**3 in the form i*p**3 + s*p**2 + l*p**4 + h + u*p and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1831.121 + 1830. What is n rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -65. Which is the smallest value? (a) j (b) -5 (c) 1\/4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/110 and -99\/6940880.\nAnswer: 76349680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(1\/1 - 0). Let k = -6 + x. Let p be (-1)\/(-3) + 26\/(-6). What is the nearest to k in 2\/7, p, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 693\/2 - 25623\/74. Are g and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1521996 and 966?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.559 + -0.159. Let k = j + -13.2. Sort k, 1\/3, 2\/51 in decreasing order.\nAnswer: 1\/3, k, 2\/51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/57)*g*g)\/(g\/(g\/g**17)))\/(g**(2\/11))**(-2\/45))**(-12\/11) assuming g is positive.\nAnswer: g**(565316\/34485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -7 (c) -1\/9 (d) -0.3 (e) -3 (f) -1 (g) 68\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -13) + -9 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -890 + 12394?\nAnswer: 11a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 136*s - 182023. Determine l(231).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/162 and 41\/66.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86.961 + -0.039. Is j < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 2. Let v be s(-7). Let h = 144 - 1870\/13. Let x = 8.9 + -9.3. Which is the third smallest value? (a) h (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230275?\nAnswer: 5, 49211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -1325242?\nAnswer: -1325233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15*(1 - 2\/(-10)). Let n be (-4)\/(-18) + (-76)\/r. Which is the second biggest value? (a) 0.5 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4084644 and 732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4016*y**3 + 91365*y**3 + 15438*y**3.\nAnswer: 102787*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1189*r = 1190*r - 2393. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/14)\/(63\/(-12))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 6:57 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 36656.15+-1.58\nAnswer: 36654.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**2 + 1. Let j be y(-2). Suppose -j*t + 16 = 0, -2*u + 2*t + 0 + 14 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5159801 = -95*i + 146044. Round i to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11592043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82080 and 50?\nAnswer: 410400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 345 = -0*y. What is the remainder when y is divided by (-3)\/2*(2350\/150 + -29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1640 divided by 4.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 + (-2)\/7 + (-95)\/35 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(200)*2)**2 - sqrt(18)\/(sqrt(108)\/sqrt(3))) + 0.\nAnswer: -sqrt(2)\/2 + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h - 50. Calculate the remainder when 68 is divided by q(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/54*18\/10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 6*f**2 + f - 15. Let o be q(-7). Let p(y) = o*y - 9*y - 15*y. Let l(g) be the third derivative of g**5\/10 - 2*g**2. Give p(l(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 2 - -23) + (47 - (73 - -1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -3*1*sqrt(567) + -5*(sqrt(567) + sqrt(567)*-2))\/((-2*sqrt(99)*2)\/sqrt(11)).\nAnswer: -9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 3*a**2 + 4*a. Let j(s) = 4*s**3 - s - 1. Let f(m) = 3*m**3 + m**2 - m - 1. Let u(d) = -f(d) + j(d). Give -6*u(o) - 2*v(o).\nAnswer: -2*o**3 - 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = -34*h - 174. Let o = 7 + -6.7. Is h not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2. Let m be (4 - 18\/3)*-1. Let p(t) = -7*t**m + 2*t**2 + 24*t**2. What is a(p(k))?\nAnswer: 361*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 1 - 0)*-5. Let t be 736000*a*2\/(-4). What is t rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*i + 45 = -3*i, -5*h - 4*i = 48. Let p = h + 35. Calculate the greatest common divisor of p and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 2*x + 2. Suppose -3*i + 1 + 6 = -2*h, 5*h = 5*i - 5. What are the prime factors of d(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.98407 millennia?\nAnswer: 5984.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-6))\/((-4)\/(-12)). Solve 3*s = -3*r - 27, 3 + w = -5*r + 2*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72828*c**5 + 430997*c**2?\nAnswer: 4369680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-418)\/(-10) + (-22)\/(-110). Suppose 6*k - 3*i = k + 141, -k - 4*i + a = 0. Calculate the greatest common factor of 75 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6620\/7 in 17, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(66))\/sqrt(6).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -149\/3. Let d(l) be the second derivative of 0*l**2 - 1\/2*l**4 + 0 - 2*l + j*l**3. Let r(m) = -2*m**2 + 5*m. Calculate -4*d(x) + 11*r(x).\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 618 - -3 - (-6 - 9 - -8). Is d greater than 630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 17*z**2 + 51*z + 514. Determine l(-18).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/7*(-182)\/(-39).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -618377*h**5 - h**2 + 1438965*h wrt h?\nAnswer: -12367540*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:33 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -604452 (b) 48 (c) 0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 3*b**2\/2 - 464. Let l(m) = 283*m. Calculate l(u(g)).\nAnswer: 849*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000182 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12023050 and 689.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 107*z = -612 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 0. Let j = 1365 - 1319. What is the remainder when j is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 4. Let m be w(1). Suppose -h + 2899 = n, -m*n = -3*h + 833 + 7864. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (142 + -138 - (8 + 3 + 0 - -1)) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**3 - d**3 - 2*d**3)*(-3 - 1 + 6)*(9*d - 6*d - 5*d) as u*d + g*d**2 + r*d**4 + z*d**3 + v and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78089, 78088, 78087?\n\"Answer: -q + 78090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 + 194. Let n be (-21)\/(-4) - 2\/8. Suppose p + n*p = 336. What is the highest common factor of p and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275.47654 + -0.39.\nAnswer: 275.08654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.02 (c) -0.0056\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5893093 is divided by 1336?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 183*g - 24 = 189*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10127 - 10141. Let z(l) = -4*l - 21. Give z(m).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*x + 34. Suppose -5 = -c + x. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -256 - -260. Suppose -t + 238 = 3*v + 2*v, 0 = -4*t + x*v + 1072. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3624933*f**3*l**3 - f**2*l**3 + 314*f**2*l - 42*f**2 + 2*l wrt f?\nAnswer: -21749598*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 8. Calculate the remainder when l(0) is divided by (-105)\/(-20) - 5\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133\/90 + -1\/45. Which is the closest to 0.1? (a) -0.5 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 19*v + 5. Let u be t(-19). Solve -4*w - 27 = -u*n, 2*n - 2*w - 21 = 3*w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 4 - (-26 - 4\/4). Let o be 19 - (100\/n + 1\/(-3)). Suppose -x + o = -24. What is the remainder when x is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 631*i**3 - i - i - 10781*i**3 + i.\nAnswer: -10150*i**3 + 3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyynnn. What is prob of picking 1 y and 3 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + (sqrt(252)*-2)**2 - (-6*(-1 + sqrt(7)))**2.\nAnswer: 78*sqrt(7) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2\/(-4) + -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let m(v) be the second derivative of v + 0 + h*v**3 + 1\/24*v**4 - 1\/4*v**2. Let m(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 20, -5 in increasing order.\nAnswer: -5, 0, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/5*(-2)\/4)\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 6. Is 6 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117380?\nAnswer: 2, 5, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 414 - 214. Suppose 9*x + a = -x. Which is greater: x or -21?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -48. Calculate the remainder when 3 + (55 - -4) - (5 - 7) is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t = -21386 + 3297386. Let s be (580\/6)\/((-7)\/t). Round s to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.003 + 0.003. Put 4, u, -4, -2 in decreasing order.\nAnswer: 4, -2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59\/2 + -29. Let w(c) = c**2 + c - 1. Let z(s) = 3*s**2 + 7*s. Let g(q) = 2*w(q) - z(q). Let r be g(-4). Which is smaller: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 60\/17, 0.17, -19, 4\/5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -16 + 1. What is the common denominator of 23\/6 and 4\/(-6) - (i - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -212369792 by -7552.\nAnswer: 28121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 100127, 400515, 901159, 1602059, 2503215?\n\"Answer: 100128*v**2 + 4*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/3 and (4 + -6)*((-56)\/90 + 0).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11432435 (base 8) to base 15\nAnswer: -346db0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 239629898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*h**3 - 32*h + 448*h**3 + 3*h.\nAnswer: 4*h**3 - 29*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -974*n**4 - 298*n**2 wrt n?\nAnswer: -23376*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10 - 2465*m**2 + 2464*m**2 + 2*m**5 + 0*m**5 wrt m?\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1956494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -51, -141, -321, -615, -1047?\n\"Answer: -4*p**3 - 21*p**2 + p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 9 + 13 - 47. Solve -31 = -w*q - 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 33, 58, 87, 120, 157, 198?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (392544\/(-282))\/(-348)*2\/(-18)*3\/4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a + 96. Let z(v) = 9*v + 96. Let p(o) = 4*g(o) - 5*z(o). What is the tens digit of p(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 6*r**2 + 43 - 16 + 14.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 + 2*y**2 - 2*y - 30\/7.\nAnswer: -2*(y - 5)*(y - 3)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p - 3\/2*p**2 + 0*p**5 + 0*p**4 + 1\/6*p**6 + 0*p**3 + 0. What is the derivative of w(i) wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/2 - 21*z**4\/2 - 37*z**3 + 192*z**2 - 144*z = 0 for z.\nAnswer: -12, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/10 (b) -2 (c) 1688\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 - (-7)\/(-20). Let o = 0.47 - -14.53. Let n = o + -16. Which is the closest to 0? (a) 4 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7340782682629 + 3*l**2 + 7340782682629.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5908?\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 take away -165?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -31.7. Let h = -1.700018 - p. Round h to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 25 - 3 - 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**4 + 75554998*o**3 + 1061167271*o.\nAnswer: 24*o**2 + 453329988*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 7*j**2 - 6*j. Let y be c(4). Suppose 2*l + 18 = y. Suppose l*d - 36 = -3*v, d + 3*d = -v. Calculate the greatest common divisor of v and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*m + 151*m + 2412 = -10812 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6655 + 18499 = 2*v. Let h = -1139 + v. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2992 + 2992.4. Let r be 2\/3 + (-4)\/9. Sort t, 1\/11, 0.5, r in ascending order.\nAnswer: 1\/11, r, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1202*g**3 - 4*g**2 + 6*g. Let b(h) = 2403*h**3 + 9*h**2 - 15*h. Give -2*b(r) - 5*c(r).\nAnswer: 1204*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -58*b - 12. Let i be w(-6). Calculate the greatest common factor of 48 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*z - 72 + 80 = 0, 3*a + 12 = -4*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -194297, -194291, -194285, -194279?\n\"Answer: 6*m - 194303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 22*p**2 - 36*p**4 + 22*p**2 + 14 - 2*p to the form h*p**3 + j + i*p**2 + w*p + u*p**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5297\/3 + -49615\/33. Let n = d + -262. Which is the closest to -1\/5? (a) n (b) 8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1582?\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5368 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 9742.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -7. Suppose 0*f + f - q*o = 26, 3*f = -2*o + 50. Let m(a) be the first derivative of a**2\/2 - a - 2. Let z(c) = 5*c - 4. Calculate f*m(i) - 4*z(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -5, -73, 0.5877, 2\/13, -2\/29?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609337.\nAnswer: 609337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/10 + (-6)\/(-15) + -2. Calculate the least common multiple of (-4)\/14 - (2500\/(-28) + p) and 4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-77) + 2\/7. Solve 0 = -2*i - s*i + 4*g + 4, 4*g + 2 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 5 - 7*n - 4*n**2 + 3*n**3 - 4*n**3 - 2. Let b be t(-5). What is the highest common divisor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k + 6. Let v(p) be the third derivative of -p**4\/6 + 7*p**3\/6 - 111*p**2. Determine -6*c(g) + 5*v(g).\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 311622402 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 2*l - 12 - 11 - 16 - 31*l**2 + 24 as m*l**2 + k + g*l and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3*-1*sqrt(80)*3 - ((sqrt(80) - (-2*sqrt(80) + 4)) + (sqrt(80) - -1*-2*sqrt(80)))))**2.\nAnswer: 336*sqrt(5) + 3956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 369335202 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 34098637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 11 - (10 - (9 + -14 + 9))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/32*(-2)\/(-5)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 408098958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x - 3318 = -2889 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.02, 2\/11, 0.3, 1, 29.53, -0.041?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 1. Let j(g) = -3*g + 2. Let k(i) = 14*a(i) + 6*j(i). Let n(o) = -1. Give k(x) - 3*n(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -76*p - 6. Let f be v(-2). Let c = -56 + f. Suppose -4*d - 6 + c = 0. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 21*z + 1. Let n(i) = -64*i - 4. Calculate -10*l(d) - 3*n(d).\nAnswer: -18*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -8. Suppose 3*f + 3 = -2*f + 3*y, 4*f + k = -3*y. Let g be 3\/(-5)*2\/6. What is the third biggest value in f, g, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 4*o - 226 = 6*a, 5*o - 535 = -5*a. Let z = 111 - a. Solve -z*v = -1 + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 766*r**2 - r + 47. Let j(c) = 3831*c**2 - 6*c + 237. Let k(d) = 11*i(d) - 2*j(d). Find the second derivative of k(a) wrt a.\nAnswer: 1528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 13, -7758, 3 in descending order.\nAnswer: 13, 3, 0, -4, -7758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2\/3 + 131545838*r\/3 - 4326076873780561\/3 = 0.\nAnswer: 65772919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v + 4 = 0. Suppose v*l + 4*c - 8 = -2, 3*l + 3*c = 15. Suppose -k + l*k = 228. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.4 + 179.4. Let v = s + -91. Is -1 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 8:33 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 + 6*k**2 + 0*k**2 + (-4*k - 3*k - 4*k)*(6*k - 2*k - 2*k) as a*k + p*k**2 + h and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - 7) + (-31 - -20) + 5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {n: 2, c: 1, y: 1, h: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/96 < -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3316 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -488 + -1?\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3013 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -15. Suppose 0 = 6*o - 4*o - j, 3*a = 4*o + 156. Suppose 5*p - a = -16. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -208.68 - -208.751071. Round y to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**3 - 6*b**2 + 5*b - 1. Let p(l) be the second derivative of 9*l**5\/20 + 7*l**4\/12 - 5*l**3\/6 + l**2\/2 - 768*l - 4. Give 7*k(n) + 6*p(n).\nAnswer: -2*n**3 + 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 3:24 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/13877?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30491*g + 29301*g - 34510 = 0 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tytttttttyt. What is prob of picking 3 t and 1 y?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(-44*u**2 + 69*u**2 + 75*u**2).\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35.9 - -37. Let m = 1.9 + o. Suppose -2*f + 6 = -5*y + 19, 4*f - 7 = -y. Which is the third smallest value? (a) m (b) f (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - 28202203?\nAnswer: -28202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/17, -1, 2.45, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 - -1157.\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2. Suppose o = 6*o - 20. Let q(p) = p - o*p + 5*p. Give k(q(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 6, -11, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1160 + -722. Is 29 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 2. Determine h(-15).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-2))\/((-5)\/10). Let m = -12 + l. Is (1\/m)\/((-6)\/(-1098)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-33261)\/(-36) - (-10 + 119\/12) is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 1\/189 (c) 101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.68 and 0.04572.\nAnswer: -1.63428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -420 (c) 0.07 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1053) + 0 + sqrt(1053) + 2 + sqrt(1053) + 5)*1)**2*-2*-4.\nAnswer: 48384*sqrt(13) + 1219328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -21, 7, 0.5, 5, -0.06, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 6. Suppose x*q - 62 = -7. Solve 0 = -2*p - q*p + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29 and 0.06.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 419 - 362 = 0. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 6:46 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6440\/(-60))\/(-23)*(18\/(-20))\/(-3)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) -0.5 (c) 4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/6 and 18\/95.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -36, 5\/6, 0, 0.3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15.8 (b) -739\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 1:04 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18681 divided by 39.\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(((sqrt(147) - (sqrt(147) + (2*sqrt(147) + sqrt(147) - sqrt(147)) - sqrt(147) - sqrt(147)) - sqrt(147))*-3)\/sqrt(7))\/(sqrt(112)*4 + 6*sqrt(63)).\nAnswer: 15*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/4 + z**3\/3 + z + 22. Suppose o = -4*m + 22, -2*m = -5*o + m - 5. Let b(k) = 4*k**3 + 2*k**2 + 2. What is o*n(w) - b(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1339916088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (sqrt(147) + 2*sqrt(147))*4) + -5 - 4*(sqrt(15) + (sqrt(120)*-2)\/sqrt(8) + sqrt(15) + sqrt(15))\/sqrt(5).\nAnswer: -81*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 103220554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1640\/82*(-1)\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.3 + 8.8. Let w = i - -14.5. Is w < -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(17) + (3*sqrt(1377))**2 + (sqrt(17)*3*-6 - sqrt(17))).\nAnswer: -90*sqrt(17) + 61965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {n: 2, l: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**3*y + 2*r**3 + 4*r**2*y + 16*r**2 - 27737*r*y - 19*r - 54 wrt y.\nAnswer: -2*r**3 + 4*r**2 - 27737*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33065677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -226805 - -482104. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 1. Let q(t) = 7*t + 2. Let y(p) = 6*h(p) - q(p). Suppose -13*a + 10*a + 12 = 0. What is y(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 - 1369321544?\nAnswer: -1369320974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -7. Suppose 0 = -w*h - 2 - 1. What is the remainder when ((32 - 1)*h)\/(-1) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58836 is divided by 3478.\nAnswer: 3188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23303200 (base 5) to base 6\nAnswer: 4321433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1663 - -2336. Let m = 671 - y. What is the second biggest value in -2\/17, m, 0.1, 14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 8) to base 4\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -20, -2, 4 in decreasing order.\nAnswer: 6, 4, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.62 + 0.54. What is the nearest to h in 0.4, 3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1 - (-1 + -10) - (-43 - -60)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1504 - 910*h - 1488 + 2993)*(27*h**3 - 241*h + 241*h) to the form v*h**2 + y*h**4 + q*h**3 + p + i*h and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00668 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1013*r**4 + 15*r**3 + 73481*r**2 + 2?\nAnswer: -24312*r + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 550.9 and 33.\nAnswer: 18179.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.25 minus -12408?\nAnswer: 12410.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 30 = 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 9*z - 12. Let y be v(-3). Suppose 329 = 2*c + 2*b - 215, -3*b + y = 0. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 71*f - 5. Let j(o) = -24*o + 2. Let p(t) = -8*j(t) - 3*r(t). Determine p(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcccjgzsjgzzzzgsgg. Give prob of sequence gggj.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7190 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 w(f) = 11*f - 148. Let a be w(18). Suppose 2*j - q - 59 + a = 0, -5*j + 24 = -4*q. Solve -168*h**3 - 132\/5*h + 12\/5 + 441\/5*h**j + 519\/5*h**2 = 0 for h.\nAnswer: 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138229\/1615 + 3\/323. Let h = -86 + r. What is the closest to h in 3, -4, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21090227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113\/122 + 26\/61. Which is the second biggest value? (a) r (b) -2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, t: 10, g: 4, u: 1}. What is prob of picking 2 o?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - -5 - 34601 - 0. What is k rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 - 4 + 0*l**2 + 1.\nAnswer: -6*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 7)*(2*h + 5 + 1 + 9)*((0 + 0 - 1)*(1 - 1 - 2) + 4 + 0 + 5).\nAnswer: -44*h - 330","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330138536.\nAnswer: 2, 7, 13, 439, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5. Calculate the remainder when 135 is divided by (j*2\/(-20))\/(2\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46144583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13 + (-1150)\/(-90))*(-9)\/7. Sort s, 51, -0.3 in increasing order.\nAnswer: -0.3, s, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (21 - (4 - -11) - (8 - 0)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i**(1\/7)*i)\/i)\/i*i*i))\/(i*i**(-2)))**(11\/5)\/(i**(2\/7)\/(i**(-9\/5)\/i*i)*i*i**(3\/5)*i**9) assuming i is positive.\nAnswer: i**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23888124, 47776252, 71664380, 95552508, 119440636?\n\"Answer: 23888128*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 238034 divided by 1\nAnswer: 238034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7898 + -7898.000007259. Round h to 7 dps.\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, s: 2, m: 2, g: 11}. Give prob of picking 1 g and 2 d.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 78\/11, -1219, 2\/21, -0.74?\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c + 4. Let x(w) = -2*w - 2. Let g(o) = 10*o + 11. Let l(k) = 2*g(k) + 11*x(k). Calculate m(l(z)).\nAnswer: 12*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from uunuoou?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184407?\nAnswer: 3, 61469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73151*-6.\nAnswer: -438906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31392442651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 27. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3. Let w(b) = 2*b**3. Let h(j) = j**3 - 6*j**2 + 6*j - 2. Let a be h(5). Determine a*v(n) - 7*w(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 469, 16, 29, -3 in decreasing order.\nAnswer: 469, 29, 16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -6. Let c = a - 9. Put -4\/7, -4, c in decreasing order.\nAnswer: c, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (7 - -1) - -34)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 11*o**2 - 17*o + 12. Let p be b(4). What is the highest common divisor of 46 and p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkr when three letters picked without replacement from xkxr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -49*w + 1334. Let u be q(26). Solve 12*r = 22*r - u for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-56580)\/48*-44 + 16?\nAnswer: 29, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4 + 14040*j**3 - 16440834*j**2 + 32839560*j - 16412763 = 0. Calculate j.\nAnswer: 1, 2339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 7*z - 10 - 6*z)*((-4 + 3 - 1)*(-z + 0*z - z) - 2*z - 4*z + 4*z) to the form i*z + p*z**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 437, 874, 1311, 1748?\n\"Answer: 437*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000004 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 361 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*u = 84017 + 101689. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)*z**(-2\/79)\/z)**(2\/65) assuming z is positive.\nAnswer: z**(-1126\/25675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -4\/15*p**3 - 1\/10*p**4 + 1\/5*p**2 + 3\/5*p + 1\/25*p**5 - 20. Factor h(j).\nAnswer: (j - 3)*(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/3)\/((-273)\/1053).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/14814 and 34\/9?\nAnswer: 14814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -19. Let r(v) = -v**2 + 7*v + 8. Let f be r(m). Suppose -5*k + 3 + 2 = f. Solve -3*y + 13 = k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from {v: 9, t: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 54994*g**2 - 2*g - 112974*g**2.\nAnswer: -167968*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 4:19 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -25.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55246 by -2958.\nAnswer: 27623\/1479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 12. Suppose -2*c - g*t + 53 = 0, 0 = 5*c + 2*t - t - 98. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b41 (base 14) to base 4\nAnswer: -1031131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7964 (base 12) in base 3?\nAnswer: -200110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 332190 or 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 7 (c) -13 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133808 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -83242413 and 0.5.\nAnswer: -83242412.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -111110010111100001100 (base 2) to base 3\nAnswer: -10211211101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1550 - -1552. What is the second biggest value in 1, -12\/25, -1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -3, 4\/3, -0.1, -4044954?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 8 - 3)*(k - k + k)*(-3*k**2 + 3*k**2 - k**2).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -453, 2\/13, -4 in ascending order.\nAnswer: -453, -4, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t. Let a(g) be the first derivative of 2*g**2 - g - 10. Determine a(r) - 2*o(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 177684.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 826 = 6*d - 3014. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1 - 4)\/1. Let n = 741.2 - 741.7. Which is the biggest value? (a) 0 (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**7*j\/(j**(2\/5)*j)*((j\/(j*j**(-2\/3)))\/j)**(1\/11))**(-5\/7) assuming j is positive.\nAnswer: j**(128\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3*d**2 + d**2)*(-3*d**2 + 6*d**2 - 4*d**2)*(1 + 3 + 7)*(2*d - 1 + 1).\nAnswer: -44*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h = -210 - 28 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (4*(0 + sqrt(612)) + sqrt(612))) + sqrt(612) + (sqrt(612) + (sqrt(612) - (0 + sqrt(612))))*6 - (4*-2*sqrt(612) + -6*(sqrt(612) + 1)))**2.\nAnswer: 1224*sqrt(17) + 176904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**6\/40 - 11*b**3\/6 + 8*b**2. Differentiate r(j) wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -32*d**6\/3 - 125*d**2\/2 + 9. Find the second derivative of m(s) wrt s.\nAnswer: -1280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 623*q*w**4 - 13*q*w + 4*q + w**4 + 12*w**2 wrt w?\nAnswer: 14952*q*w + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 287172*g**2 - 550532*g**2 + 281602*g**2 as u*g**2 + m*g + w and give u.\nAnswer: 18242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (70\/8)\/(-2*(-2)\/(-20)*(-685)\/548)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83488 is divided by 82902?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 3, h: 1, r: 6, e: 2, m: 2}. What is prob of picking 1 e, 1 j, and 1 i?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38*-3*1 + -2. Let l = -117 - k. Is 5\/32 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352 (base 10) to base 4\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30211 - 13401?\nAnswer: 11310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3)*(16 + 5). Let z(m) = -11*m + 2. Let t(l) = 6*l - 1. Calculate k*t(a) - 4*z(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f + 3*f - f)*(0 + 0 + f) - 1 + 1 + f**2 - 2*f**2 + 2*f**2 + f**2 + 3*f**2 - 4*f**2 + 3*f**2 + 76 - 76 - 10*f**2)*(2*f - 11*f**2 - 2*f**2 + 0*f**2).\nAnswer: 65*f**4 - 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by 104\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1496 and 14991416.\nAnswer: 14991416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -41, 243 in decreasing order.\nAnswer: 243, 42, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 333, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5 = 2*t, 26*z = 29*z + 3*t + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2. Let p be (-22 - 2) + (-3 - i). Let f = 36 + p. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9 + 6 = 0. Put 0, -1, o in decreasing order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 6:10 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 36518.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -102.2 + -63254\nAnswer: -63356.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -1, -47, 58, -52, 3 in descending order.\nAnswer: 58, 3, -1, -36, -47, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, d: 1, x: 2}. What is prob of sequence xxjd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(672))\/(-2*sqrt(18)\/sqrt(3)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179760393?\nAnswer: 3, 37, 193, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 909 = -55*r - 26 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.196 times 0.2?\nAnswer: -34.0392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13960620 by 25853.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 64*x - 111. Let m be c(30). Suppose m*h + 629 - 665 = 0. Solve -i - 22 = h*y, -2*i - i + 4*y + 14 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2*m + 13 = 3, -q + 4*m = -20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14183658 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4740 + -4745.983. Let k = x - -0.043. What is k rounded to 1 dp?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372919.3 litres in millilitres?\nAnswer: 372919300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 2. Let l = -1478 - -1482.7. Put l, -0.5, u in descending order.\nAnswer: u, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 36. Suppose 4*s - 2*q - t = 0, -4*s + 26 = -2*q + 4*q. What is the third derivative of 3*l**2 - l**2 - 9*l**6 + s*l**2 wrt l?\nAnswer: -1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 4*y - 5. Let g be d(-5). Suppose 0 = 3*s - g*s. Let c(l) = -l**2 + 6*l - 5. Let q be c(6). Sort 4, s, q in decreasing order.\nAnswer: 4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/17 (b) -0.006 (c) 0.3 (d) 10 (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 10. Let r = -5 - q. Suppose 2*f - w = -4*w + 19, -r = 2*f - 5*w. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (1 - -7) - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.452384 millilitres?\nAnswer: 0.007452384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5178555?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-25)\/z*z\/(z**(-14)\/z) assuming z is positive.\nAnswer: z**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*y + 4*y. Suppose -3*j + 5*a - 1870 = -7*j, -4*j + 1852 = -4*a. Let s = j - 461. Calculate the least common multiple of s and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:04 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1672*x + 1670*x + 6 = 0. Let r(k) = k - 4. Suppose 8 = 3*o + 2. Let s(h) = -2*h + 5. What is o*s(a) + x*r(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-12)\/20) + 38. Let p be ((-1)\/((-1)\/(-60)))\/(-1). Let z = p - d. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 2 + 10 + -94\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22790875927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -191.0000042 + 191. Round j to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - -0.1. Let p = -41.362 + -0.138. Let w = -42 - p. Put w, -2, u in ascending order.\nAnswer: -2, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.5 - -12. Let d = -2.2 - x. Sort d, 1\/2, 0 in decreasing order.\nAnswer: 1\/2, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + (-119 - -110).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 169661*p**2*z**2 + 2*p**2*z + 3*p**2 - 10854*p*z wrt z.\nAnswer: 339322*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -2 - (164 - 148)) + 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 11) to base 14.\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 5)*(94 - 1615*b**2 + 3234*b**2 - 1618*b**2) in the form h*b**2 + s*b + f and give f.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 4. Suppose -7*o = -27 - 1. Let u(z) = 5*z**2 - 11. Determine o*u(w) + 11*j(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1003942*q*s - 2541038*s wrt q.\nAnswer: -1003942*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4)\/(((s**(-2\/15)\/s*s)\/s)\/s))**(-3))**(-1\/4) assuming s is positive.\nAnswer: s**(143\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 157, 230.\nAnswer: 21, 157, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -c - 1. Let t = 0.22 + -0.62. Let v = -0.72 - -0.22. Put c, t, v in descending order.\nAnswer: t, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173\/5 + 34. Let q be (1\/(-8))\/((-9)\/(-4))*-4. What is the second smallest value in -3, q, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20573 - 1121*z**2 + 20573)*(49 + 21 - 11) to the form y*z + f*z**2 + g and give f.\nAnswer: -66139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 96*r**2 + 276*r + 278. What is d(93)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(4 + (-68)\/16). Let z be 2\/6*87\/1. Solve -5*t = 5, -5*o = 5*t - f + z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 5*o**2 - 3*o + 5. Suppose 10*d - 30 = 5*d. Let y = 0 + d. Find the common denominator of p(y) and 123\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 2*i**2 + 1. What is z(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-4126))\/(1\/2). Let g = 223934445960803\/22693 + -9867996564. Let z = t + g. Calculate the common denominator of z and 29\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85429 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + 3)\/2 + 51?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-52) + -1 + (-10)\/(-65)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1\/5*d**3 + 24\/5 + 2\/5*d**2 = 0. What is d?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**20*p*p)*p**(2\/3)*p**(1\/3)*p*p**(-1\/11) assuming p is positive.\nAnswer: p**(-221\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 61890 divided by 6\nAnswer: 10315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1585, 1576, 1553, 1510, 1441, 1340, 1201, 1018?\n\"Answer: -t**3 - t**2 + t + 1586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 366, 475, 582, 687, 790, 891, 990?\n\"Answer: -t**2 + 112*t + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*k**3*z**3 + 40186*k**3*z**2 + 5*k**2*z**3 + 10*z**3 wrt z?\nAnswer: 234*k**3 + 30*k**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -13. Let h = -1 - -4. Suppose -i - j = -h*i. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2. Let g(m) be the first derivative of 3*m**2\/2 - 9. Calculate g(b(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(448) - sqrt(448)*2)*-5 - (1*sqrt(1008)*-2 + -5))**2.\nAnswer: -560*sqrt(7) + 21977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*p + 4*u + 12, p = u - 8. Let q be 13692\/9 + p\/(-15). Suppose -5*o = -o + 12, -2*o - q = -4*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 - -89752.019\nAnswer: 89752.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1915\/35 + (-4)\/(-14). Let g = a - 53. Suppose -5*v - 21 = -2*j, 89 = 5*j - g*v + 26. What is the remainder when 50 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626150 at least as big as 626151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 13*p - 22. What is t(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 2*r**2 - 4*r - 2. Let n(l) = -l**3 + l. Let u(g) = -a(g) - 3*n(g). Let z be u(-2). Solve 3*t = -z*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 224a3 - -2?\nAnswer: 224a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*i**2 + 72*i - 72*i + (-7*i + 3*i + 2*i)*(-i + 4*i - 5*i) + 24*i**2 + 63*i - 63*i as d*i + w + r*i**2 and give r.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76a6b3 (base 13) to base 4.\nAnswer: -22222001023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1054 and 51288694?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:31 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390 and 10764?\nAnswer: 53820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 9 = 0, -13*w + 10*w + 2*y = -9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(85)*-2 + 2*1*sqrt(85) + sqrt(85) + sqrt(85))\/((sqrt(5) + -3*sqrt(5)*4 - sqrt(5)) + (sqrt(180)*-2 - sqrt(180))).\nAnswer: -4*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5712 or -1?\nAnswer: 5712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 538*g*q + 8083*g*t**2 + 2*g + 8*q*t**2 + q*t - t**2 with respect to q.\nAnswer: 538*g + 8*t**2 + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -48, 4, -0.1, 1\/4 in increasing order.\nAnswer: -48, -3, -0.1, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*i - 37*i + 28*i + 120 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 996072 and 31262.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 284*k - 2104. Give f(10).\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**6\/2 - 3*d**5\/4 + 5*d**4\/9 + 10*d**3\/9 - 4*d. Determine v, given that b(v) = 0.\nAnswer: -1, -2\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 83 and -2.2.\nAnswer: -182.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(380\/38 - (-6)\/(-6)*11)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -22*y + 19*y. Let l be y*860\/(-70) - -2*1. What is the highest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*u**3 - 90*u**3 - 72*u**3.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 259220*0.21\nAnswer: 54436.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d - 50 = 0. Suppose -x - d + 33 = 0. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (2 + 8))\/((-100)\/8)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffnffnf. Give prob of picking 4 f.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 7457*f**3 - 22377*f**2 - 22379*f - 7460.\nAnswer: (f - 7460)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjjjjjjjjjj. Give prob of sequence yj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 118\/(14986\/(-7239)) + -61?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 5\/3*g**3 + g**2 + 0*g + 24. Suppose 0*v = v + 7. Let f(p) = -2*p**2 - p. What is v*f(q) - 3*l(q)?\nAnswer: -q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-9) + 58*5\/90. Suppose z + n*r = 115, -5*r + 418 + 167 = 5*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2\/3 + 12188*i\/3 - 2775120 = 0.\nAnswer: -6714, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.12. Let h = -0.001 - -0.1258. Let u = h - w. Round u to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 40 = 2*d. Let n(r) = 15*r + 8. Let k(q) = 2*q + 1. Let a(c) = -10*k(c) + 2*n(c). Let p be a(d). Round p to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46015 - -2.\nAnswer: 46017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17a8 - -33178?\nAnswer: 34953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 1. Let b(o) = 2*o - 2. Let s(g) = -g**3 + 7*g**2 + 6*g + 14. Let y be (-2 - -1) + 4 + 5. Let u be s(y). Determine u*b(j) - 2*r(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*i + 1, -3*b + 2*b = 3*i - 11. Find the second derivative of -18*p + 3*p**2 - 4*p**2 - p**2 - 15*p**b wrt p.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**3\/3 + 3*d**2 + 6*d + 4. Calculate the lowest common multiple of 2 and o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3083660*c**2*q*u**3 - c**2*q - 56*c**2 + 40*c*u**3 - 1192*u**2 wrt q?\nAnswer: 3083660*c**2*u**3 - c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 8 = 2*x, -2*x - 5 = -3*y + 6*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*j - 388, -5*k = -k + j - 1497. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -545 + 3269\/6. What is the second biggest value in k, 3, 0.132?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = -0*r. Suppose r*g = -16, 0*g = 4*k - 5*g - 600. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -338646 in -3, 4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 7486.\nAnswer: -1497.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1895, -1919, -1967, -2045, -2159, -2315?\nAnswer: -2519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17736655?\nAnswer: 5, 3547331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157 + 162. Let d(r) = 82*r + 56. What is the tens digit of d(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1212.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 7*g**2 + 5*g + 14. Suppose 5*o + 15 + 25 = 0. Let q be -10*4\/o + 3 + -2. Let v be a(q). Solve -v = -3*b + 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6113 + 28004 = 5*i, 0 = 3*w - 3*i - 32868. What are the prime factors of w?\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2*f + 0*f - 3*f)*(-4 + 0 - 3)*(0*f**4 - 4*f**4 + 17*f**4).\nAnswer: -182*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 6*d - 5*d**2 - 8*d)*(7*d - 7*d - 8*d**3)*(-2 + 2 + 2).\nAnswer: 16*d**5 + 32*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4989542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3 and -111\/5614.\nAnswer: 16842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3310, 457, 4224, 7991, 11758, 15525?\n\"Answer: 3767*u - 7077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -3. Let j = l - -16. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*r + a, -892*a + 896*a = -20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 1 - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.26063 - -0.12937. What is the nearest to f in 5, 2, 0, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 109.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 1\/20*q**6 + 2*q + 1\/6*q**3 + 0*q**4 + 0 - 1\/30*q**5 - 19*q**2. Give t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 6:11 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - k - 2. Let t be g(3). Let q be (25\/20)\/(1\/t). Suppose -q*m - 3*p = -98, -3*p - p = -2*m + 60. What is the lowest common multiple of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 84784494 from -50725.\nAnswer: -84835219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z**2. Suppose 2*a - 18 = -4*s, -4*s - 25*a - 27 = -28*a. Let o(m) be the first derivative of s*m**2 + 0*m - 1\/3*m**3 - 7. Determine o(n(j)).\nAnswer: -100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 + 8 + 115 + 1 + 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -11*j**4\/24 - 25*j**2. Let y(o) = -o. Give y(r(u)).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20c41c6 (base 13) in base 7?\nAnswer: -151021315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.02 to the nearest integer.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 - 10*g**2 + 11*g = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/3*(-108)\/(-45). Suppose 0 = z - 3*z - 4, -2*z = 2*c - r. Let g(b) = 4*b**2 + 4*b + 15. Let a(l) = -l**2 - l - 4. What is c*a(n) + 6*g(n)?\nAnswer: 2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 8. Calculate the remainder when (-519)\/f - 3\/12 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4\/4 - 39*d**3\/4 + 51*d**2\/4 + 183*d\/4 - 99\/2 = 0. Calculate d.\nAnswer: -2, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*l*v**3 + 2*a*l - 1035*a*v**2 + 2*a*v - 926*l*v**3 + 4*v**3 wrt v.\nAnswer: 12*a*l - 5556*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 6. Suppose -7*z + 13*z = -612. Let x = j - z. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 451300406 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**6\/3 + 4*w**5 + 3*w**4 - 136*w**3\/3 + 83*w**2 - 60*w + 395. Factor b(r).\nAnswer: -2*(r - 10)*(r - 1)**3*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(0*p + 3*p - p) + (-5 + 1 + 1)*(0 - p + 0 - 5*p + p + 3*p + (p - p + p)*(-4 + 4 - 1) - 4 + 2*p + 4 + (-p - 2*p + 2*p)*(-56 + 27 + 45)).\nAnswer: 53*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j\/(j**(1\/9)*j))**7 assuming j is positive.\nAnswer: j**(182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}